• Re: Infinite proofs do not derive knowledge --- Honest confusion ?

    From Richard Damon@21:1/5 to olcott on Wed Jul 17 21:31:30 2024
    XPost: sci.logic

    On 7/17/24 8:49 PM, olcott wrote:
    On 7/17/2024 7:39 PM, Richard Damon wrote:
    On 7/17/24 8:02 PM, olcott wrote:
    On 7/16/2024 8:54 PM, olcott wrote:
    On 7/16/2024 8:11 PM, Richard Damon wrote:
    On 7/16/24 9:34 AM, olcott wrote:
    On 7/16/2024 6:53 AM, Richard Damon wrote:
    On 7/15/24 10:55 PM, olcott wrote:
    On 7/15/2024 9:18 PM, Richard Damon wrote:
    On 7/15/24 10:06 AM, olcott wrote:
    On 7/15/2024 3:48 AM, Mikko wrote:
    On 2024-07-11 13:51:47 +0000, olcott said:

    On 7/11/2024 2:07 AM, Mikko wrote:
    On 2024-07-10 13:58:42 +0000, olcott said:

    On 7/8/2024 7:37 PM, Richard Damon wrote:
    On 7/8/24 8:28 PM, olcott wrote:

    Every expression of language that cannot be proven >>>>>>>>>>>>>>>> or refuted by any finite or infinite sequence of >>>>>>>>>>>>>>>> truth preserving operations connecting it to its >>>>>>>>>>>>>>>> meaning specified as a finite expression of language >>>>>>>>>>>>>>>> is rejected.


    So?

    Tarski's x like Godel's G are know to be true by an >>>>>>>>>>>>>>> infinite sequence of truth preserving operations. >>>>>>>>>>>>>>>

    Every time that you affirm your above error you prove >>>>>>>>>>>>>> yourself to be a liar.

    It is quite obvious that you are the liar. You have not >>>>>>>>>>>>> shown any error
    above.


    Richard said the infinite proofs derive knowledge
    and that infinite proofs never derive knowledge.

    That is included in my "not shown above", in particular the >>>>>>>>>>> word "proofs".


    On 7/8/2024 7:37 PM, Richard Damon wrote:
    ;
    Tarski's x like Godel's G are know to be true by an
    infinite sequence of truth preserving operations.
    ;

    We cannot know that anything is true by an infinite
    sequence of truth preserving operations as Richard
    falsely claims above.

    You are just mixing up your words because you don't understd >>>>>>>>> that wrores. amnd just making yourself into a LIAR.

    Our KNOWLEDGE that the statement is true, comes from a finite >>>>>>>>> proof in the meta system.

    Thus zero knowledge comes from the infinite proof
    You spelled "known" incorrectly as "know" yet claimed
    that knowledge comes form an infinite proof.

    You can't even pay attention to your own words ???


    There is no "infinite proof".


    On 7/8/2024 7:37 PM, Richard Damon wrote:
    *know to be true*
    *know to be true*
    *know to be true*
    *know to be true*
    *know to be true*
    by an infinite sequence of truth preserving operations.

    Nothing can ever be known to be true
    by an infinite sequence of truth preserving operations.


    Right, you just don't parse it right because you don't understand
    english.

    the "by" refers to the closer referent.

    it is KNOW TO BE
    TRUE BY an infinite sequence of truth persevng operations.

    The infinite sequence establish what makes it True, not what make
    the truth known.


    In other words when you are caught with your hand in the
    cookie jar stealing cookies you deny:
    (a) That your hand is in the jar
    (b) That there is a jar
    (c) That there are any cookies

    On 7/8/2024 7:37 PM, Richard Damon wrote:
    ;
    Tarski's x like Godel's G are know to be true by an
    infinite sequence of truth preserving operations.
    ;


    *From immediately above* [somethings] are
    know to be true by an infinite sequence of truth preserving operations.

    Nothing is
    known to be true by an infinite sequence of truth preserving operations. >>>

    But it is known to be (true by an infinite sequence of truth
    preserving operations)


    Some cases such as the Goldbach conjecture's truth or falsity may
    require in infinite sequence of truth preserving operations as
    their truthmaker. In these cases the truth or falsity remains
    permanently unknown.


    Unless there is a meta-theory that can be discovered that allows the
    infinite chain to be reduced to a finite proof.

    But yes, if we can't find an appropriate meta-theory, and there is no
    finite sequence in normal math, then it might be true but unprovable.

    The key point it that Godel's G, DOES have a proof in the meta-theory
    that was used to construct the relationship taken into PA, and thus in
    PA there is no finite proof, but the statement can be shown (via the
    Meta-Math) to be true in PA, so that shows that in PA there DOES exsit a statement that we KNOW to be true, and that truth is only established
    (in PA) by an infinite sequence of truth preserving instructions in PA,
    even though it can be establish by a finite sequence in MM (and thus
    proven in MM and the knowledge transfered to PA)

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Wed Jul 17 22:12:30 2024
    XPost: sci.logic

    On 7/17/24 9:33 PM, olcott wrote:
    On 7/17/2024 8:31 PM, Richard Damon wrote:
    On 7/17/24 8:49 PM, olcott wrote:
    On 7/17/2024 7:39 PM, Richard Damon wrote:
    On 7/17/24 8:02 PM, olcott wrote:
    On 7/16/2024 8:54 PM, olcott wrote:
    On 7/16/2024 8:11 PM, Richard Damon wrote:
    On 7/16/24 9:34 AM, olcott wrote:
    On 7/16/2024 6:53 AM, Richard Damon wrote:
    On 7/15/24 10:55 PM, olcott wrote:
    On 7/15/2024 9:18 PM, Richard Damon wrote:
    On 7/15/24 10:06 AM, olcott wrote:
    On 7/15/2024 3:48 AM, Mikko wrote:
    On 2024-07-11 13:51:47 +0000, olcott said:

    On 7/11/2024 2:07 AM, Mikko wrote:
    On 2024-07-10 13:58:42 +0000, olcott said:

    On 7/8/2024 7:37 PM, Richard Damon wrote:
    On 7/8/24 8:28 PM, olcott wrote:

    Every expression of language that cannot be proven >>>>>>>>>>>>>>>>>> or refuted by any finite or infinite sequence of >>>>>>>>>>>>>>>>>> truth preserving operations connecting it to its >>>>>>>>>>>>>>>>>> meaning specified as a finite expression of language >>>>>>>>>>>>>>>>>> is rejected.


    So?

    Tarski's x like Godel's G are know to be true by an >>>>>>>>>>>>>>>>> infinite sequence of truth preserving operations. >>>>>>>>>>>>>>>>>

    Every time that you affirm your above error you prove >>>>>>>>>>>>>>>> yourself to be a liar.

    It is quite obvious that you are the liar. You have not >>>>>>>>>>>>>>> shown any error
    above.


    Richard said the infinite proofs derive knowledge
    and that infinite proofs never derive knowledge.

    That is included in my "not shown above", in particular the >>>>>>>>>>>>> word "proofs".


    On 7/8/2024 7:37 PM, Richard Damon wrote:
    ;
    Tarski's x like Godel's G are know to be true by an >>>>>>>>>>>>  > infinite sequence of truth preserving operations.
    ;

    We cannot know that anything is true by an infinite
    sequence of truth preserving operations as Richard
    falsely claims above.

    You are just mixing up your words because you don't understd >>>>>>>>>>> that wrores. amnd just making yourself into a LIAR.

    Our KNOWLEDGE that the statement is true, comes from a finite >>>>>>>>>>> proof in the meta system.

    Thus zero knowledge comes from the infinite proof
    You spelled "known" incorrectly as "know" yet claimed
    that knowledge comes form an infinite proof.

    You can't even pay attention to your own words ???


    There is no "infinite proof".


    On 7/8/2024 7:37 PM, Richard Damon wrote:
    *know to be true*
    *know to be true*
    *know to be true*
    *know to be true*
    *know to be true*
    by an infinite sequence of truth preserving operations.

    Nothing can ever be known to be true
    by an infinite sequence of truth preserving operations.


    Right, you just don't parse it right because you don't understand >>>>>>> english.

    the "by" refers to the closer referent.

    it is KNOW TO BE
    TRUE BY an infinite sequence of truth persevng operations.

    The infinite sequence establish what makes it True, not what make >>>>>>> the truth known.


    In other words when you are caught with your hand in the
    cookie jar stealing cookies you deny:
    (a) That your hand is in the jar
    (b) That there is a jar
    (c) That there are any cookies

    On 7/8/2024 7:37 PM, Richard Damon wrote:
    ;
    Tarski's x like Godel's G are know to be true by an
    infinite sequence of truth preserving operations.
    ;


    *From immediately above* [somethings] are
    know to be true by an infinite sequence of truth preserving
    operations.

    Nothing is
    known to be true by an infinite sequence of truth preserving
    operations.


    But it is known to be (true by an infinite sequence of truth
    preserving operations)


    Some cases such as the Goldbach conjecture's truth or falsity may
    require in infinite sequence of truth preserving operations as
    their truthmaker. In these cases the truth or falsity remains
    permanently unknown.


    Unless there is a meta-theory that can be discovered that allows the
    infinite chain to be reduced to a finite proof.


    You miss the point. True (or false) and unknowable.

    No, YOU miss the point, it could be:

    False (which in this case must be provable, since false means the
    existance of a counter example, that can be show to make the conjecture
    false in a finite number of steps.

    True, and provable in the Theory.

    True, and not provable in the Theory, but provable in a Meta-Theory that transfers knowledge to the Theory.

    True, and not provably anywhere, and thus unknowable.

    You don't seem to understand that Proofs are limited to the Theory, but knowledge can move between properly related Meta-Theoryies and their
    base Theory.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Wed Jul 17 22:29:42 2024
    XPost: sci.logic

    On 7/17/24 10:21 PM, olcott wrote:
    On 7/17/2024 9:12 PM, Richard Damon wrote:
    On 7/17/24 9:33 PM, olcott wrote:
    On 7/17/2024 8:31 PM, Richard Damon wrote:
    On 7/17/24 8:49 PM, olcott wrote:
    On 7/17/2024 7:39 PM, Richard Damon wrote:
    On 7/17/24 8:02 PM, olcott wrote:
    On 7/16/2024 8:54 PM, olcott wrote:
    On 7/16/2024 8:11 PM, Richard Damon wrote:
    On 7/16/24 9:34 AM, olcott wrote:
    On 7/16/2024 6:53 AM, Richard Damon wrote:
    On 7/15/24 10:55 PM, olcott wrote:
    On 7/15/2024 9:18 PM, Richard Damon wrote:
    On 7/15/24 10:06 AM, olcott wrote:
    On 7/15/2024 3:48 AM, Mikko wrote:
    On 2024-07-11 13:51:47 +0000, olcott said:

    On 7/11/2024 2:07 AM, Mikko wrote:
    On 2024-07-10 13:58:42 +0000, olcott said:

    On 7/8/2024 7:37 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>> On 7/8/24 8:28 PM, olcott wrote:

    Every expression of language that cannot be proven >>>>>>>>>>>>>>>>>>>> or refuted by any finite or infinite sequence of >>>>>>>>>>>>>>>>>>>> truth preserving operations connecting it to its >>>>>>>>>>>>>>>>>>>> meaning specified as a finite expression of language >>>>>>>>>>>>>>>>>>>> is rejected.


    So?

    Tarski's x like Godel's G are know to be true by an >>>>>>>>>>>>>>>>>>> infinite sequence of truth preserving operations. >>>>>>>>>>>>>>>>>>>

    Every time that you affirm your above error you prove >>>>>>>>>>>>>>>>>> yourself to be a liar.

    It is quite obvious that you are the liar. You have not >>>>>>>>>>>>>>>>> shown any error
    above.


    Richard said the infinite proofs derive knowledge >>>>>>>>>>>>>>>> and that infinite proofs never derive knowledge. >>>>>>>>>>>>>>>
    That is included in my "not shown above", in particular >>>>>>>>>>>>>>> the word "proofs".


    On 7/8/2024 7:37 PM, Richard Damon wrote:
    ;
    Tarski's x like Godel's G are know to be true by an >>>>>>>>>>>>>>  > infinite sequence of truth preserving operations. >>>>>>>>>>>>>>  >

    We cannot know that anything is true by an infinite >>>>>>>>>>>>>> sequence of truth preserving operations as Richard >>>>>>>>>>>>>> falsely claims above.

    You are just mixing up your words because you don't
    understd that wrores. amnd just making yourself into a LIAR. >>>>>>>>>>>>>
    Our KNOWLEDGE that the statement is true, comes from a >>>>>>>>>>>>> finite proof in the meta system.

    Thus zero knowledge comes from the infinite proof
    You spelled "known" incorrectly as "know" yet claimed
    that knowledge comes form an infinite proof.

    You can't even pay attention to your own words ???


    There is no "infinite proof".


    On 7/8/2024 7:37 PM, Richard Damon wrote:
    *know to be true*
    *know to be true*
    *know to be true*
    *know to be true*
    *know to be true*
    by an infinite sequence of truth preserving operations.

    Nothing can ever be known to be true
    by an infinite sequence of truth preserving operations.


    Right, you just don't parse it right because you don't
    understand english.

    the "by" refers to the closer referent.

    it is KNOW TO BE
    TRUE BY an infinite sequence of truth persevng operations.

    The infinite sequence establish what makes it True, not what >>>>>>>>> make the truth known.


    In other words when you are caught with your hand in the
    cookie jar stealing cookies you deny:
    (a) That your hand is in the jar
    (b) That there is a jar
    (c) That there are any cookies

    On 7/8/2024 7:37 PM, Richard Damon wrote:
    ;
    Tarski's x like Godel's G are know to be true by an
    infinite sequence of truth preserving operations.
    ;


    *From immediately above* [somethings] are
    know to be true by an infinite sequence of truth preserving
    operations.

    Nothing is
    known to be true by an infinite sequence of truth preserving
    operations.


    But it is known to be (true by an infinite sequence of truth
    preserving operations)


    Some cases such as the Goldbach conjecture's truth or falsity may
    require in infinite sequence of truth preserving operations as
    their truthmaker. In these cases the truth or falsity remains
    permanently unknown.


    Unless there is a meta-theory that can be discovered that allows the
    infinite chain to be reduced to a finite proof.


    You miss the point. True (or false) and unknowable.

    No, YOU miss the point, it could be:

    False (which in this case must be provable, since false means the
    existance of a counter example, that can be show to make the
    conjecture false in a finite number of steps.


    OK

    True, and provable in the Theory.

    True, and not provable in the Theory, but provable in a Meta-Theory
    that transfers knowledge to the Theory.

    True, and not provably anywhere, and thus unknowable.


    True by an infinite sequence of truth preserving operations,
    (thus having a truth-maker) yet unknowable.

    You don't seem to understand that the last two cases are decidedly
    different.

    Having only an infinite series in the Theory, makes it unprovable in the theory, but there is still the possiblity that is KNOWABLE in the
    theory, because knowledge can transfer between properly connected systems.

    Thus, a statement can be KNOWN to be true in the system, but there is no
    proof in that system that can be used to do it in the system.

    This idea seems to be above your head, quite likely because you just
    don't understand what formal systems actually are and hwo meta-theories
    relate to them.


    You don't seem to understand that Proofs are limited to the Theory,
    but knowledge can move between properly related Meta-Theoryies and
    their base Theory.


    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Wed Jul 17 23:11:06 2024
    XPost: sci.logic

    On 7/17/24 10:46 PM, olcott wrote:
    On 7/17/2024 9:29 PM, Richard Damon wrote:
    On 7/17/24 10:21 PM, olcott wrote:
    On 7/17/2024 9:12 PM, Richard Damon wrote:
    On 7/17/24 9:33 PM, olcott wrote:
    On 7/17/2024 8:31 PM, Richard Damon wrote:
    On 7/17/24 8:49 PM, olcott wrote:
    On 7/17/2024 7:39 PM, Richard Damon wrote:
    On 7/17/24 8:02 PM, olcott wrote:
    On 7/16/2024 8:54 PM, olcott wrote:
    On 7/16/2024 8:11 PM, Richard Damon wrote:
    On 7/16/24 9:34 AM, olcott wrote:
    On 7/16/2024 6:53 AM, Richard Damon wrote:
    On 7/15/24 10:55 PM, olcott wrote:
    On 7/15/2024 9:18 PM, Richard Damon wrote:
    On 7/15/24 10:06 AM, olcott wrote:
    On 7/15/2024 3:48 AM, Mikko wrote:
    On 2024-07-11 13:51:47 +0000, olcott said:

    On 7/11/2024 2:07 AM, Mikko wrote:
    On 2024-07-10 13:58:42 +0000, olcott said: >>>>>>>>>>>>>>>>>>>
    On 7/8/2024 7:37 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>> On 7/8/24 8:28 PM, olcott wrote:

    Every expression of language that cannot be proven >>>>>>>>>>>>>>>>>>>>>> or refuted by any finite or infinite sequence of >>>>>>>>>>>>>>>>>>>>>> truth preserving operations connecting it to its >>>>>>>>>>>>>>>>>>>>>> meaning specified as a finite expression of language >>>>>>>>>>>>>>>>>>>>>> is rejected.


    So?

    Tarski's x like Godel's G are know to be true by an >>>>>>>>>>>>>>>>>>>>> infinite sequence of truth preserving operations. >>>>>>>>>>>>>>>>>>>>>

    Every time that you affirm your above error you prove >>>>>>>>>>>>>>>>>>>> yourself to be a liar.

    It is quite obvious that you are the liar. You have >>>>>>>>>>>>>>>>>>> not shown any error
    above.


    Richard said the infinite proofs derive knowledge >>>>>>>>>>>>>>>>>> and that infinite proofs never derive knowledge. >>>>>>>>>>>>>>>>>
    That is included in my "not shown above", in particular >>>>>>>>>>>>>>>>> the word "proofs".


    On 7/8/2024 7:37 PM, Richard Damon wrote:
    ;
    Tarski's x like Godel's G are know to be true by an >>>>>>>>>>>>>>>>  > infinite sequence of truth preserving operations. >>>>>>>>>>>>>>>>  >

    We cannot know that anything is true by an infinite >>>>>>>>>>>>>>>> sequence of truth preserving operations as Richard >>>>>>>>>>>>>>>> falsely claims above.

    You are just mixing up your words because you don't >>>>>>>>>>>>>>> understd that wrores. amnd just making yourself into a LIAR. >>>>>>>>>>>>>>>
    Our KNOWLEDGE that the statement is true, comes from a >>>>>>>>>>>>>>> finite proof in the meta system.

    Thus zero knowledge comes from the infinite proof
    You spelled "known" incorrectly as "know" yet claimed >>>>>>>>>>>>>> that knowledge comes form an infinite proof.

    You can't even pay attention to your own words ??? >>>>>>>>>>>>>>

    There is no "infinite proof".


    On 7/8/2024 7:37 PM, Richard Damon wrote:
    *know to be true*
    *know to be true*
    *know to be true*
    *know to be true*
    *know to be true*
    by an infinite sequence of truth preserving operations. >>>>>>>>>>>>
    Nothing can ever be known to be true
    by an infinite sequence of truth preserving operations. >>>>>>>>>>>>

    Right, you just don't parse it right because you don't
    understand english.

    the "by" refers to the closer referent.

    it is KNOW TO BE
    TRUE BY an infinite sequence of truth persevng operations. >>>>>>>>>>>
    The infinite sequence establish what makes it True, not what >>>>>>>>>>> make the truth known.


    In other words when you are caught with your hand in the
    cookie jar stealing cookies you deny:
    (a) That your hand is in the jar
    (b) That there is a jar
    (c) That there are any cookies

    On 7/8/2024 7:37 PM, Richard Damon wrote:
    ;
    Tarski's x like Godel's G are know to be true by an
    infinite sequence of truth preserving operations.
    ;


    *From immediately above* [somethings] are
    know to be true by an infinite sequence of truth preserving
    operations.

    Nothing is
    known to be true by an infinite sequence of truth preserving >>>>>>>>> operations.


    But it is known to be (true by an infinite sequence of truth
    preserving operations)


    Some cases such as the Goldbach conjecture's truth or falsity may >>>>>>> require in infinite sequence of truth preserving operations as
    their truthmaker. In these cases the truth or falsity remains
    permanently unknown.


    Unless there is a meta-theory that can be discovered that allows
    the infinite chain to be reduced to a finite proof.


    You miss the point. True (or false) and unknowable.

    No, YOU miss the point, it could be:

    False (which in this case must be provable, since false means the
    existance of a counter example, that can be show to make the
    conjecture false in a finite number of steps.


    OK

    True, and provable in the Theory.

    True, and not provable in the Theory, but provable in a Meta-Theory
    that transfers knowledge to the Theory.

    True, and not provably anywhere, and thus unknowable.


    True by an infinite sequence of truth preserving operations,
    (thus having a truth-maker) yet unknowable.

    You don't seem to understand that the last two cases are decidedly
    different.

    I am saying that ONLY an infinite sequence shows that it is true.


    Which means you still don't understadn about the "System" part o fa
    Formal System.

    Like Godel's G, only has an infinite chain IN THE SYSTEM, so is
    unprovable in the system, but has a finite chain in the meta, so is
    provable, and that knowledge from the proof is transferable into the
    system PA, so G is knowable in PA, but only because of something outside
    teh system.

    Your mind seems to keep on thinking of all the different systems as part
    of one thing, but they are not.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Wed Jul 17 23:27:59 2024
    XPost: sci.logic

    On 7/17/24 11:19 PM, olcott wrote:
    On 7/17/2024 10:11 PM, Richard Damon wrote:
    On 7/17/24 10:46 PM, olcott wrote:
    On 7/17/2024 9:29 PM, Richard Damon wrote:
    On 7/17/24 10:21 PM, olcott wrote:
    On 7/17/2024 9:12 PM, Richard Damon wrote:
    On 7/17/24 9:33 PM, olcott wrote:
    On 7/17/2024 8:31 PM, Richard Damon wrote:
    On 7/17/24 8:49 PM, olcott wrote:
    On 7/17/2024 7:39 PM, Richard Damon wrote:
    On 7/17/24 8:02 PM, olcott wrote:
    On 7/16/2024 8:54 PM, olcott wrote:
    On 7/16/2024 8:11 PM, Richard Damon wrote:
    On 7/16/24 9:34 AM, olcott wrote:
    On 7/16/2024 6:53 AM, Richard Damon wrote:
    On 7/15/24 10:55 PM, olcott wrote:
    On 7/15/2024 9:18 PM, Richard Damon wrote:
    On 7/15/24 10:06 AM, olcott wrote:
    On 7/15/2024 3:48 AM, Mikko wrote:
    On 2024-07-11 13:51:47 +0000, olcott said: >>>>>>>>>>>>>>>>>>>
    On 7/11/2024 2:07 AM, Mikko wrote:
    On 2024-07-10 13:58:42 +0000, olcott said: >>>>>>>>>>>>>>>>>>>>>
    On 7/8/2024 7:37 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>> On 7/8/24 8:28 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>
    Every expression of language that cannot be proven >>>>>>>>>>>>>>>>>>>>>>>> or refuted by any finite or infinite sequence of >>>>>>>>>>>>>>>>>>>>>>>> truth preserving operations connecting it to its >>>>>>>>>>>>>>>>>>>>>>>> meaning specified as a finite expression of >>>>>>>>>>>>>>>>>>>>>>>> language
    is rejected.


    So?

    Tarski's x like Godel's G are know to be true by >>>>>>>>>>>>>>>>>>>>>>> an infinite sequence of truth preserving operations. >>>>>>>>>>>>>>>>>>>>>>>

    Every time that you affirm your above error you prove >>>>>>>>>>>>>>>>>>>>>> yourself to be a liar.

    It is quite obvious that you are the liar. You have >>>>>>>>>>>>>>>>>>>>> not shown any error
    above.


    Richard said the infinite proofs derive knowledge >>>>>>>>>>>>>>>>>>>> and that infinite proofs never derive knowledge. >>>>>>>>>>>>>>>>>>>
    That is included in my "not shown above", in >>>>>>>>>>>>>>>>>>> particular the word "proofs".


    On 7/8/2024 7:37 PM, Richard Damon wrote:
    ;
    Tarski's x like Godel's G are know to be true by an >>>>>>>>>>>>>>>>>>  > infinite sequence of truth preserving operations. >>>>>>>>>>>>>>>>>>  >

    We cannot know that anything is true by an infinite >>>>>>>>>>>>>>>>>> sequence of truth preserving operations as Richard >>>>>>>>>>>>>>>>>> falsely claims above.

    You are just mixing up your words because you don't >>>>>>>>>>>>>>>>> understd that wrores. amnd just making yourself into a >>>>>>>>>>>>>>>>> LIAR.

    Our KNOWLEDGE that the statement is true, comes from a >>>>>>>>>>>>>>>>> finite proof in the meta system.

    Thus zero knowledge comes from the infinite proof >>>>>>>>>>>>>>>> You spelled "known" incorrectly as "know" yet claimed >>>>>>>>>>>>>>>> that knowledge comes form an infinite proof.

    You can't even pay attention to your own words ??? >>>>>>>>>>>>>>>>

    There is no "infinite proof".


    On 7/8/2024 7:37 PM, Richard Damon wrote:
    *know to be true*
    *know to be true*
    *know to be true*
    *know to be true*
    *know to be true*
    by an infinite sequence of truth preserving operations. >>>>>>>>>>>>>>
    Nothing can ever be known to be true
    by an infinite sequence of truth preserving operations. >>>>>>>>>>>>>>

    Right, you just don't parse it right because you don't >>>>>>>>>>>>> understand english.

    the "by" refers to the closer referent.

    it is KNOW TO BE
    TRUE BY an infinite sequence of truth persevng operations. >>>>>>>>>>>>>
    The infinite sequence establish what makes it True, not >>>>>>>>>>>>> what make the truth known.


    In other words when you are caught with your hand in the >>>>>>>>>>>> cookie jar stealing cookies you deny:
    (a) That your hand is in the jar
    (b) That there is a jar
    (c) That there are any cookies

    On 7/8/2024 7:37 PM, Richard Damon wrote:
    ;
    Tarski's x like Godel's G are know to be true by an >>>>>>>>>>>>  > infinite sequence of truth preserving operations.
    ;


    *From immediately above* [somethings] are
    know to be true by an infinite sequence of truth preserving >>>>>>>>>>> operations.

    Nothing is
    known to be true by an infinite sequence of truth preserving >>>>>>>>>>> operations.


    But it is known to be (true by an infinite sequence of truth >>>>>>>>>> preserving operations)


    Some cases such as the Goldbach conjecture's truth or falsity may >>>>>>>>> require in infinite sequence of truth preserving operations as >>>>>>>>> their truthmaker. In these cases the truth or falsity remains >>>>>>>>> permanently unknown.


    Unless there is a meta-theory that can be discovered that allows >>>>>>>> the infinite chain to be reduced to a finite proof.


    You miss the point. True (or false) and unknowable.

    No, YOU miss the point, it could be:

    False (which in this case must be provable, since false means the
    existance of a counter example, that can be show to make the
    conjecture false in a finite number of steps.


    OK

    True, and provable in the Theory.

    True, and not provable in the Theory, but provable in a
    Meta-Theory that transfers knowledge to the Theory.

    True, and not provably anywhere, and thus unknowable.


    True by an infinite sequence of truth preserving operations,
    (thus having a truth-maker) yet unknowable.

    You don't seem to understand that the last two cases are decidedly
    different.

    I am saying that ONLY an infinite sequence shows that it is true.


    Which means you still don't understadn about the "System" part o fa
    Formal System.

    Like Godel's G, only has an infinite chain IN THE SYSTEM, so is
    unprovable in the system, but has a finite chain in the meta,

    I didn't know that the Goldbach conjecture had a finite chain in meta.
    No one else seems to know that.


    I didn't say it did, I said it MIGHT, and then it would be like Godel's
    G. I listed FOUR possible cases for the Goldbach conjecture, and only
    one of them leaves it unknowable, but two leave it unprovable or
    unrefutable in the system.

    It can be hard to find a meta-system to do the trick, since there could litterlaly be an infinite number of them,

    You seem to have a serious English comprehension issue.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Wed Jul 17 23:55:13 2024
    XPost: sci.logic

    On 7/17/24 11:36 PM, olcott wrote:
    On 7/17/2024 10:27 PM, Richard Damon wrote:
    On 7/17/24 11:19 PM, olcott wrote:
    On 7/17/2024 10:11 PM, Richard Damon wrote:
    On 7/17/24 10:46 PM, olcott wrote:
    On 7/17/2024 9:29 PM, Richard Damon wrote:
    On 7/17/24 10:21 PM, olcott wrote:
    On 7/17/2024 9:12 PM, Richard Damon wrote:
    On 7/17/24 9:33 PM, olcott wrote:
    On 7/17/2024 8:31 PM, Richard Damon wrote:
    On 7/17/24 8:49 PM, olcott wrote:
    On 7/17/2024 7:39 PM, Richard Damon wrote:
    On 7/17/24 8:02 PM, olcott wrote:
    On 7/16/2024 8:54 PM, olcott wrote:
    On 7/16/2024 8:11 PM, Richard Damon wrote:
    On 7/16/24 9:34 AM, olcott wrote:
    On 7/16/2024 6:53 AM, Richard Damon wrote:
    On 7/15/24 10:55 PM, olcott wrote:
    On 7/15/2024 9:18 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>> On 7/15/24 10:06 AM, olcott wrote:
    On 7/15/2024 3:48 AM, Mikko wrote:
    On 2024-07-11 13:51:47 +0000, olcott said: >>>>>>>>>>>>>>>>>>>>>
    On 7/11/2024 2:07 AM, Mikko wrote: >>>>>>>>>>>>>>>>>>>>>>> On 2024-07-10 13:58:42 +0000, olcott said: >>>>>>>>>>>>>>>>>>>>>>>
    On 7/8/2024 7:37 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>> On 7/8/24 8:28 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>
    Every expression of language that cannot be >>>>>>>>>>>>>>>>>>>>>>>>>> proven
    or refuted by any finite or infinite sequence of >>>>>>>>>>>>>>>>>>>>>>>>>> truth preserving operations connecting it to its >>>>>>>>>>>>>>>>>>>>>>>>>> meaning specified as a finite expression of >>>>>>>>>>>>>>>>>>>>>>>>>> language
    is rejected.


    So?

    Tarski's x like Godel's G are know to be true >>>>>>>>>>>>>>>>>>>>>>>>> by an infinite sequence of truth preserving >>>>>>>>>>>>>>>>>>>>>>>>> operations.


    Every time that you affirm your above error you >>>>>>>>>>>>>>>>>>>>>>>> prove
    yourself to be a liar.

    It is quite obvious that you are the liar. You >>>>>>>>>>>>>>>>>>>>>>> have not shown any error
    above.


    Richard said the infinite proofs derive knowledge >>>>>>>>>>>>>>>>>>>>>> and that infinite proofs never derive knowledge. >>>>>>>>>>>>>>>>>>>>>
    That is included in my "not shown above", in >>>>>>>>>>>>>>>>>>>>> particular the word "proofs".


    On 7/8/2024 7:37 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>  >
    Tarski's x like Godel's G are know to be true by an >>>>>>>>>>>>>>>>>>>>  > infinite sequence of truth preserving operations. >>>>>>>>>>>>>>>>>>>>  >

    We cannot know that anything is true by an infinite >>>>>>>>>>>>>>>>>>>> sequence of truth preserving operations as Richard >>>>>>>>>>>>>>>>>>>> falsely claims above.

    You are just mixing up your words because you don't >>>>>>>>>>>>>>>>>>> understd that wrores. amnd just making yourself into >>>>>>>>>>>>>>>>>>> a LIAR.

    Our KNOWLEDGE that the statement is true, comes from >>>>>>>>>>>>>>>>>>> a finite proof in the meta system.

    Thus zero knowledge comes from the infinite proof >>>>>>>>>>>>>>>>>> You spelled "known" incorrectly as "know" yet claimed >>>>>>>>>>>>>>>>>> that knowledge comes form an infinite proof. >>>>>>>>>>>>>>>>>>
    You can't even pay attention to your own words ??? >>>>>>>>>>>>>>>>>>

    There is no "infinite proof".


    On 7/8/2024 7:37 PM, Richard Damon wrote:
    *know to be true*
    *know to be true*
    *know to be true*
    *know to be true*
    *know to be true*
    by an infinite sequence of truth preserving operations. >>>>>>>>>>>>>>>>
    Nothing can ever be known to be true
    by an infinite sequence of truth preserving operations. >>>>>>>>>>>>>>>>

    Right, you just don't parse it right because you don't >>>>>>>>>>>>>>> understand english.

    the "by" refers to the closer referent.

    it is KNOW TO BE
    TRUE BY an infinite sequence of truth persevng operations. >>>>>>>>>>>>>>>
    The infinite sequence establish what makes it True, not >>>>>>>>>>>>>>> what make the truth known.


    In other words when you are caught with your hand in the >>>>>>>>>>>>>> cookie jar stealing cookies you deny:
    (a) That your hand is in the jar
    (b) That there is a jar
    (c) That there are any cookies

    On 7/8/2024 7:37 PM, Richard Damon wrote:
    ;
    Tarski's x like Godel's G are know to be true by an >>>>>>>>>>>>>>  > infinite sequence of truth preserving operations. >>>>>>>>>>>>>>  >


    *From immediately above* [somethings] are
    know to be true by an infinite sequence of truth preserving >>>>>>>>>>>>> operations.

    Nothing is
    known to be true by an infinite sequence of truth
    preserving operations.


    But it is known to be (true by an infinite sequence of truth >>>>>>>>>>>> preserving operations)


    Some cases such as the Goldbach conjecture's truth or falsity >>>>>>>>>>> may
    require in infinite sequence of truth preserving operations as >>>>>>>>>>> their truthmaker. In these cases the truth or falsity remains >>>>>>>>>>> permanently unknown.


    Unless there is a meta-theory that can be discovered that
    allows the infinite chain to be reduced to a finite proof. >>>>>>>>>>

    You miss the point. True (or false) and unknowable.

    No, YOU miss the point, it could be:

    False (which in this case must be provable, since false means
    the existance of a counter example, that can be show to make the >>>>>>>> conjecture false in a finite number of steps.


    OK

    True, and provable in the Theory.

    True, and not provable in the Theory, but provable in a
    Meta-Theory that transfers knowledge to the Theory.

    True, and not provably anywhere, and thus unknowable.


    True by an infinite sequence of truth preserving operations,
    (thus having a truth-maker) yet unknowable.

    You don't seem to understand that the last two cases are decidedly >>>>>> different.

    I am saying that ONLY an infinite sequence shows that it is true.


    Which means you still don't understadn about the "System" part o fa
    Formal System.

    Like Godel's G, only has an infinite chain IN THE SYSTEM, so is
    unprovable in the system, but has a finite chain in the meta,

    I didn't know that the Goldbach conjecture had a finite chain in meta.
    No one else seems to know that.


    I didn't say it did, I said it MIGHT, and then it would be like
    Godel's G. I listed FOUR possible cases for the Goldbach conjecture,
    and only one of them leaves it unknowable, but two leave it unprovable
    or unrefutable in the system.

    It can be hard to find a meta-system to do the trick, since there
    could litterlaly be an infinite number of them,

    You seem to have a serious English comprehension issue.

    *For the last forty messages or so*
    I have only ever been talking about the one case where an
    ONLY infinite sequence of truth preserving operations shows
    that things such as the Goldbach conjecture are true, thus
    true and unknowable.



    Which is a case that is impossible to know about, and you get into the definitional question, do you mean only an infinite chain IN the system,
    or in ANY system, including all possible meta-systems. (WHich I am not
    sure is a possible answer).

    This goes to my comment about you not understanding the meaning of a
    formal system and how meta-systems work.

    If you are just asserting "unprovable" (as Incompleteness does), that
    leaves open the option of there being a meta-system (that might be
    known) that has a finite proof that is transferable to the system.

    Since you tend to confuse statements in system and in meta-ssytem, it is unclear which you are talking about.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Thu Jul 18 07:08:41 2024
    XPost: sci.logic

    On 7/18/24 12:04 AM, olcott wrote:
    On 7/17/2024 10:55 PM, Richard Damon wrote:
    On 7/17/24 11:36 PM, olcott wrote:
    On 7/17/2024 10:27 PM, Richard Damon wrote:
    On 7/17/24 11:19 PM, olcott wrote:
    On 7/17/2024 10:11 PM, Richard Damon wrote:
    On 7/17/24 10:46 PM, olcott wrote:
    On 7/17/2024 9:29 PM, Richard Damon wrote:
    On 7/17/24 10:21 PM, olcott wrote:
    On 7/17/2024 9:12 PM, Richard Damon wrote:
    On 7/17/24 9:33 PM, olcott wrote:
    On 7/17/2024 8:31 PM, Richard Damon wrote:
    On 7/17/24 8:49 PM, olcott wrote:
    On 7/17/2024 7:39 PM, Richard Damon wrote:
    On 7/17/24 8:02 PM, olcott wrote:
    On 7/16/2024 8:54 PM, olcott wrote:
    On 7/16/2024 8:11 PM, Richard Damon wrote:
    On 7/16/24 9:34 AM, olcott wrote:
    On 7/16/2024 6:53 AM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>> On 7/15/24 10:55 PM, olcott wrote:
    On 7/15/2024 9:18 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>> On 7/15/24 10:06 AM, olcott wrote:
    On 7/15/2024 3:48 AM, Mikko wrote: >>>>>>>>>>>>>>>>>>>>>>> On 2024-07-11 13:51:47 +0000, olcott said: >>>>>>>>>>>>>>>>>>>>>>>
    On 7/11/2024 2:07 AM, Mikko wrote: >>>>>>>>>>>>>>>>>>>>>>>>> On 2024-07-10 13:58:42 +0000, olcott said: >>>>>>>>>>>>>>>>>>>>>>>>>
    On 7/8/2024 7:37 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>> On 7/8/24 8:28 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Every expression of language that cannot be >>>>>>>>>>>>>>>>>>>>>>>>>>>> proven
    or refuted by any finite or infinite >>>>>>>>>>>>>>>>>>>>>>>>>>>> sequence of
    truth preserving operations connecting it to >>>>>>>>>>>>>>>>>>>>>>>>>>>> its
    meaning specified as a finite expression of >>>>>>>>>>>>>>>>>>>>>>>>>>>> language
    is rejected.


    So?

    Tarski's x like Godel's G are know to be true >>>>>>>>>>>>>>>>>>>>>>>>>>> by an infinite sequence of truth preserving >>>>>>>>>>>>>>>>>>>>>>>>>>> operations.


    Every time that you affirm your above error >>>>>>>>>>>>>>>>>>>>>>>>>> you prove
    yourself to be a liar.

    It is quite obvious that you are the liar. You >>>>>>>>>>>>>>>>>>>>>>>>> have not shown any error
    above.


    Richard said the infinite proofs derive knowledge >>>>>>>>>>>>>>>>>>>>>>>> and that infinite proofs never derive knowledge. >>>>>>>>>>>>>>>>>>>>>>>
    That is included in my "not shown above", in >>>>>>>>>>>>>>>>>>>>>>> particular the word "proofs".


    On 7/8/2024 7:37 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>  >
    Tarski's x like Godel's G are know to be true >>>>>>>>>>>>>>>>>>>>>> by an
    infinite sequence of truth preserving operations. >>>>>>>>>>>>>>>>>>>>>>  >

    We cannot know that anything is true by an infinite >>>>>>>>>>>>>>>>>>>>>> sequence of truth preserving operations as Richard >>>>>>>>>>>>>>>>>>>>>> falsely claims above.

    You are just mixing up your words because you don't >>>>>>>>>>>>>>>>>>>>> understd that wrores. amnd just making yourself >>>>>>>>>>>>>>>>>>>>> into a LIAR.

    Our KNOWLEDGE that the statement is true, comes >>>>>>>>>>>>>>>>>>>>> from a finite proof in the meta system. >>>>>>>>>>>>>>>>>>>>
    Thus zero knowledge comes from the infinite proof >>>>>>>>>>>>>>>>>>>> You spelled "known" incorrectly as "know" yet claimed >>>>>>>>>>>>>>>>>>>> that knowledge comes form an infinite proof. >>>>>>>>>>>>>>>>>>>>
    You can't even pay attention to your own words ??? >>>>>>>>>>>>>>>>>>>>

    There is no "infinite proof".


    On 7/8/2024 7:37 PM, Richard Damon wrote:
    *know to be true*
    *know to be true*
    *know to be true*
    *know to be true*
    *know to be true*
    by an infinite sequence of truth preserving operations. >>>>>>>>>>>>>>>>>>
    Nothing can ever be known to be true
    by an infinite sequence of truth preserving operations. >>>>>>>>>>>>>>>>>>

    Right, you just don't parse it right because you don't >>>>>>>>>>>>>>>>> understand english.

    the "by" refers to the closer referent.

    it is KNOW TO BE
    TRUE BY an infinite sequence of truth persevng operations. >>>>>>>>>>>>>>>>>
    The infinite sequence establish what makes it True, not >>>>>>>>>>>>>>>>> what make the truth known.


    In other words when you are caught with your hand in the >>>>>>>>>>>>>>>> cookie jar stealing cookies you deny:
    (a) That your hand is in the jar
    (b) That there is a jar
    (c) That there are any cookies

    On 7/8/2024 7:37 PM, Richard Damon wrote:
    ;
    Tarski's x like Godel's G are know to be true by an >>>>>>>>>>>>>>>>  > infinite sequence of truth preserving operations. >>>>>>>>>>>>>>>>  >


    *From immediately above* [somethings] are
    know to be true by an infinite sequence of truth >>>>>>>>>>>>>>> preserving operations.

    Nothing is
    known to be true by an infinite sequence of truth >>>>>>>>>>>>>>> preserving operations.


    But it is known to be (true by an infinite sequence of >>>>>>>>>>>>>> truth preserving operations)


    Some cases such as the Goldbach conjecture's truth or >>>>>>>>>>>>> falsity may
    require in infinite sequence of truth preserving operations as >>>>>>>>>>>>> their truthmaker. In these cases the truth or falsity remains >>>>>>>>>>>>> permanently unknown.


    Unless there is a meta-theory that can be discovered that >>>>>>>>>>>> allows the infinite chain to be reduced to a finite proof. >>>>>>>>>>>>

    You miss the point. True (or false) and unknowable.

    No, YOU miss the point, it could be:

    False (which in this case must be provable, since false means >>>>>>>>>> the existance of a counter example, that can be show to make >>>>>>>>>> the conjecture false in a finite number of steps.


    OK

    True, and provable in the Theory.

    True, and not provable in the Theory, but provable in a
    Meta-Theory that transfers knowledge to the Theory.

    True, and not provably anywhere, and thus unknowable.


    True by an infinite sequence of truth preserving operations, >>>>>>>>> (thus having a truth-maker) yet unknowable.

    You don't seem to understand that the last two cases are
    decidedly different.

    I am saying that ONLY an infinite sequence shows that it is true. >>>>>>>

    Which means you still don't understadn about the "System" part o
    fa Formal System.

    Like Godel's G, only has an infinite chain IN THE SYSTEM, so is
    unprovable in the system, but has a finite chain in the meta,

    I didn't know that the Goldbach conjecture had a finite chain in meta. >>>>> No one else seems to know that.


    I didn't say it did, I said it MIGHT, and then it would be like
    Godel's G. I listed FOUR possible cases for the Goldbach conjecture,
    and only one of them leaves it unknowable, but two leave it
    unprovable or unrefutable in the system.

    It can be hard to find a meta-system to do the trick, since there
    could litterlaly be an infinite number of them,

    You seem to have a serious English comprehension issue.

    *For the last forty messages or so*
    I have only ever been talking about the one case where an
    ONLY infinite sequence of truth preserving operations shows
    that things such as the Goldbach conjecture are true, thus
    true and unknowable.



    Which is a case that is impossible to know about, and you get into the
    definitional question,

    Not at all. That is the only case that I have been talking about

    I have only ever been talking about the one case where
    ONLY
    ONLY
    ONLY
    ONLY
    ONLY
    an infinite sequence of truth preserving operations shows
    that things such as the Goldbach conjecture are true, thus
    true and unknowable.

    I can repeat "ONLY" 500 more times if that would help
    you notice that I said it at least once.


    But that is under-specified. Is "Only" referring to the system the
    statement was made in, or in all possible meta-systems related to that
    systems? (and can such a claim for the infinite possible meta-systems be possibly made?)

    And now, it seems, that you are admitting that systems CAN be
    incomplete, because they can have statements that are true in them and
    not provable.

    That fact that some of these such statements can't even be known to be
    true, doesn't make that incompleteness wrong.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Thu Jul 18 22:30:39 2024
    XPost: sci.logic

    On 7/18/24 8:58 AM, olcott wrote:
    On 7/18/2024 6:08 AM, Richard Damon wrote:
    On 7/18/24 12:04 AM, olcott wrote:
    On 7/17/2024 10:55 PM, Richard Damon wrote:
    On 7/17/24 11:36 PM, olcott wrote:
    On 7/17/2024 10:27 PM, Richard Damon wrote:
    On 7/17/24 11:19 PM, olcott wrote:
    On 7/17/2024 10:11 PM, Richard Damon wrote:
    On 7/17/24 10:46 PM, olcott wrote:
    On 7/17/2024 9:29 PM, Richard Damon wrote:
    On 7/17/24 10:21 PM, olcott wrote:
    On 7/17/2024 9:12 PM, Richard Damon wrote:
    On 7/17/24 9:33 PM, olcott wrote:
    On 7/17/2024 8:31 PM, Richard Damon wrote:
    On 7/17/24 8:49 PM, olcott wrote:
    On 7/17/2024 7:39 PM, Richard Damon wrote:
    On 7/17/24 8:02 PM, olcott wrote:
    On 7/16/2024 8:54 PM, olcott wrote:
    On 7/16/2024 8:11 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>> On 7/16/24 9:34 AM, olcott wrote:
    On 7/16/2024 6:53 AM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>> On 7/15/24 10:55 PM, olcott wrote:
    On 7/15/2024 9:18 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>> On 7/15/24 10:06 AM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>> On 7/15/2024 3:48 AM, Mikko wrote: >>>>>>>>>>>>>>>>>>>>>>>>> On 2024-07-11 13:51:47 +0000, olcott said: >>>>>>>>>>>>>>>>>>>>>>>>>
    On 7/11/2024 2:07 AM, Mikko wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>> On 2024-07-10 13:58:42 +0000, olcott said: >>>>>>>>>>>>>>>>>>>>>>>>>>>
    On 7/8/2024 7:37 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 7/8/24 8:28 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Every expression of language that cannot >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> be proven
    or refuted by any finite or infinite >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> sequence of
    truth preserving operations connecting it >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> to its
    meaning specified as a finite expression >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> of language
    is rejected.


    So?

    Tarski's x like Godel's G are know to be >>>>>>>>>>>>>>>>>>>>>>>>>>>>> true by an infinite sequence of truth >>>>>>>>>>>>>>>>>>>>>>>>>>>>> preserving operations. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Every time that you affirm your above error >>>>>>>>>>>>>>>>>>>>>>>>>>>> you prove
    yourself to be a liar.

    It is quite obvious that you are the liar. >>>>>>>>>>>>>>>>>>>>>>>>>>> You have not shown any error >>>>>>>>>>>>>>>>>>>>>>>>>>> above.


    Richard said the infinite proofs derive knowledge >>>>>>>>>>>>>>>>>>>>>>>>>> and that infinite proofs never derive knowledge. >>>>>>>>>>>>>>>>>>>>>>>>>
    That is included in my "not shown above", in >>>>>>>>>>>>>>>>>>>>>>>>> particular the word "proofs". >>>>>>>>>>>>>>>>>>>>>>>>>

    On 7/8/2024 7:37 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>  >
    Tarski's x like Godel's G are know to be true >>>>>>>>>>>>>>>>>>>>>>>> by an
    infinite sequence of truth preserving >>>>>>>>>>>>>>>>>>>>>>>> operations.
    ;

    We cannot know that anything is true by an infinite >>>>>>>>>>>>>>>>>>>>>>>> sequence of truth preserving operations as Richard >>>>>>>>>>>>>>>>>>>>>>>> falsely claims above.

    You are just mixing up your words because you >>>>>>>>>>>>>>>>>>>>>>> don't understd that wrores. amnd just making >>>>>>>>>>>>>>>>>>>>>>> yourself into a LIAR.

    Our KNOWLEDGE that the statement is true, comes >>>>>>>>>>>>>>>>>>>>>>> from a finite proof in the meta system. >>>>>>>>>>>>>>>>>>>>>>
    Thus zero knowledge comes from the infinite proof >>>>>>>>>>>>>>>>>>>>>> You spelled "known" incorrectly as "know" yet claimed >>>>>>>>>>>>>>>>>>>>>> that knowledge comes form an infinite proof. >>>>>>>>>>>>>>>>>>>>>>
    You can't even pay attention to your own words ??? >>>>>>>>>>>>>>>>>>>>>>

    There is no "infinite proof".


    On 7/8/2024 7:37 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>> *know to be true*
    *know to be true*
    *know to be true*
    *know to be true*
    *know to be true*
    by an infinite sequence of truth preserving operations. >>>>>>>>>>>>>>>>>>>>
    Nothing can ever be known to be true
    by an infinite sequence of truth preserving operations. >>>>>>>>>>>>>>>>>>>>

    Right, you just don't parse it right because you >>>>>>>>>>>>>>>>>>> don't understand english.

    the "by" refers to the closer referent.

    it is KNOW TO BE
    TRUE BY an infinite sequence of truth persevng >>>>>>>>>>>>>>>>>>> operations.

    The infinite sequence establish what makes it True, >>>>>>>>>>>>>>>>>>> not what make the truth known.


    In other words when you are caught with your hand in the >>>>>>>>>>>>>>>>>> cookie jar stealing cookies you deny:
    (a) That your hand is in the jar
    (b) That there is a jar
    (c) That there are any cookies

    On 7/8/2024 7:37 PM, Richard Damon wrote:
    ;
    Tarski's x like Godel's G are know to be true by an >>>>>>>>>>>>>>>>>>  > infinite sequence of truth preserving operations. >>>>>>>>>>>>>>>>>>  >


    *From immediately above* [somethings] are
    know to be true by an infinite sequence of truth >>>>>>>>>>>>>>>>> preserving operations.

    Nothing is
    known to be true by an infinite sequence of truth >>>>>>>>>>>>>>>>> preserving operations.


    But it is known to be (true by an infinite sequence of >>>>>>>>>>>>>>>> truth preserving operations)


    Some cases such as the Goldbach conjecture's truth or >>>>>>>>>>>>>>> falsity may
    require in infinite sequence of truth preserving >>>>>>>>>>>>>>> operations as
    their truthmaker. In these cases the truth or falsity >>>>>>>>>>>>>>> remains
    permanently unknown.


    Unless there is a meta-theory that can be discovered that >>>>>>>>>>>>>> allows the infinite chain to be reduced to a finite proof. >>>>>>>>>>>>>>

    You miss the point. True (or false) and unknowable.

    No, YOU miss the point, it could be:

    False (which in this case must be provable, since false >>>>>>>>>>>> means the existance of a counter example, that can be show >>>>>>>>>>>> to make the conjecture false in a finite number of steps. >>>>>>>>>>>>

    OK

    True, and provable in the Theory.

    True, and not provable in the Theory, but provable in a >>>>>>>>>>>> Meta-Theory that transfers knowledge to the Theory.

    True, and not provably anywhere, and thus unknowable.


    True by an infinite sequence of truth preserving operations, >>>>>>>>>>> (thus having a truth-maker) yet unknowable.

    You don't seem to understand that the last two cases are
    decidedly different.

    I am saying that ONLY an infinite sequence shows that it is true. >>>>>>>>>

    Which means you still don't understadn about the "System" part o >>>>>>>> fa Formal System.

    Like Godel's G, only has an infinite chain IN THE SYSTEM, so is >>>>>>>> unprovable in the system, but has a finite chain in the meta,

    I didn't know that the Goldbach conjecture had a finite chain in >>>>>>> meta.
    No one else seems to know that.


    I didn't say it did, I said it MIGHT, and then it would be like
    Godel's G. I listed FOUR possible cases for the Goldbach
    conjecture, and only one of them leaves it unknowable, but two
    leave it unprovable or unrefutable in the system.

    It can be hard to find a meta-system to do the trick, since there
    could litterlaly be an infinite number of them,

    You seem to have a serious English comprehension issue.

    *For the last forty messages or so*
    I have only ever been talking about the one case where an
    ONLY infinite sequence of truth preserving operations shows
    that things such as the Goldbach conjecture are true, thus
    true and unknowable.



    Which is a case that is impossible to know about, and you get into
    the definitional question,

    Not at all. That is the only case that I have been talking about

    I have only ever been talking about the one case where
    ONLY
    ONLY
    ONLY
    ONLY
    ONLY
    an infinite sequence of truth preserving operations shows
    that things such as the Goldbach conjecture are true, thus
    true and unknowable.

    I can repeat "ONLY" 500 more times if that would help
    you notice that I said it at least once.


    But that is under-specified. Is "Only" referring to

    One thing in the whole universe.


    WHICH "Universe".

    The one that is the Formal System, or the collection of all possible
    Formal system so you include all the Meta-Systems?

    You still seem stuck on your lie that Formal systems need to be tied to
    "our universe", which they do not need to be.

    This just shows your fundamental misunderstanding about what you are
    talking about.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Thu Jul 18 22:40:48 2024
    XPost: sci.logic

    On 7/18/24 10:34 PM, olcott wrote:
    On 7/18/2024 9:30 PM, Richard Damon wrote:
    On 7/18/24 8:58 AM, olcott wrote:
    On 7/18/2024 6:08 AM, Richard Damon wrote:
    On 7/18/24 12:04 AM, olcott wrote:
    On 7/17/2024 10:55 PM, Richard Damon wrote:
    On 7/17/24 11:36 PM, olcott wrote:
    On 7/17/2024 10:27 PM, Richard Damon wrote:
    On 7/17/24 11:19 PM, olcott wrote:
    On 7/17/2024 10:11 PM, Richard Damon wrote:
    On 7/17/24 10:46 PM, olcott wrote:
    On 7/17/2024 9:29 PM, Richard Damon wrote:
    On 7/17/24 10:21 PM, olcott wrote:
    On 7/17/2024 9:12 PM, Richard Damon wrote:
    On 7/17/24 9:33 PM, olcott wrote:
    On 7/17/2024 8:31 PM, Richard Damon wrote:
    On 7/17/24 8:49 PM, olcott wrote:
    On 7/17/2024 7:39 PM, Richard Damon wrote:
    On 7/17/24 8:02 PM, olcott wrote:
    On 7/16/2024 8:54 PM, olcott wrote:
    On 7/16/2024 8:11 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>> On 7/16/24 9:34 AM, olcott wrote:
    On 7/16/2024 6:53 AM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>> On 7/15/24 10:55 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>> On 7/15/2024 9:18 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>> On 7/15/24 10:06 AM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>> On 7/15/2024 3:48 AM, Mikko wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>> On 2024-07-11 13:51:47 +0000, olcott said: >>>>>>>>>>>>>>>>>>>>>>>>>>>
    On 7/11/2024 2:07 AM, Mikko wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 2024-07-10 13:58:42 +0000, olcott said: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    On 7/8/2024 7:37 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 7/8/24 8:28 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    Every expression of language that cannot >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> be proven
    or refuted by any finite or infinite >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> sequence of
    truth preserving operations connecting >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> it to its
    meaning specified as a finite expression >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> of language
    is rejected.


    So?

    Tarski's x like Godel's G are know to be >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> true by an infinite sequence of truth >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> preserving operations. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

    Every time that you affirm your above >>>>>>>>>>>>>>>>>>>>>>>>>>>>>> error you prove
    yourself to be a liar. >>>>>>>>>>>>>>>>>>>>>>>>>>>>>
    It is quite obvious that you are the liar. >>>>>>>>>>>>>>>>>>>>>>>>>>>>> You have not shown any error >>>>>>>>>>>>>>>>>>>>>>>>>>>>> above.


    Richard said the infinite proofs derive >>>>>>>>>>>>>>>>>>>>>>>>>>>> knowledge
    and that infinite proofs never derive >>>>>>>>>>>>>>>>>>>>>>>>>>>> knowledge.

    That is included in my "not shown above", in >>>>>>>>>>>>>>>>>>>>>>>>>>> particular the word "proofs". >>>>>>>>>>>>>>>>>>>>>>>>>>>

    On 7/8/2024 7:37 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>>>>  >
    Tarski's x like Godel's G are know to be >>>>>>>>>>>>>>>>>>>>>>>>>> true by an
    infinite sequence of truth preserving >>>>>>>>>>>>>>>>>>>>>>>>>> operations.
    ;

    We cannot know that anything is true by an >>>>>>>>>>>>>>>>>>>>>>>>>> infinite
    sequence of truth preserving operations as >>>>>>>>>>>>>>>>>>>>>>>>>> Richard
    falsely claims above.

    You are just mixing up your words because you >>>>>>>>>>>>>>>>>>>>>>>>> don't understd that wrores. amnd just making >>>>>>>>>>>>>>>>>>>>>>>>> yourself into a LIAR.

    Our KNOWLEDGE that the statement is true, comes >>>>>>>>>>>>>>>>>>>>>>>>> from a finite proof in the meta system. >>>>>>>>>>>>>>>>>>>>>>>>
    Thus zero knowledge comes from the infinite proof >>>>>>>>>>>>>>>>>>>>>>>> You spelled "known" incorrectly as "know" yet >>>>>>>>>>>>>>>>>>>>>>>> claimed
    that knowledge comes form an infinite proof. >>>>>>>>>>>>>>>>>>>>>>>>
    You can't even pay attention to your own words ??? >>>>>>>>>>>>>>>>>>>>>>>>

    There is no "infinite proof".


    On 7/8/2024 7:37 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>> *know to be true*
    *know to be true*
    *know to be true*
    *know to be true*
    *know to be true*
    by an infinite sequence of truth preserving >>>>>>>>>>>>>>>>>>>>>> operations.

    Nothing can ever be known to be true >>>>>>>>>>>>>>>>>>>>>> by an infinite sequence of truth preserving >>>>>>>>>>>>>>>>>>>>>> operations.


    Right, you just don't parse it right because you >>>>>>>>>>>>>>>>>>>>> don't understand english.

    the "by" refers to the closer referent. >>>>>>>>>>>>>>>>>>>>>
    it is KNOW TO BE
    TRUE BY an infinite sequence of truth persevng >>>>>>>>>>>>>>>>>>>>> operations.

    The infinite sequence establish what makes it True, >>>>>>>>>>>>>>>>>>>>> not what make the truth known.


    In other words when you are caught with your hand in >>>>>>>>>>>>>>>>>>>> the
    cookie jar stealing cookies you deny:
    (a) That your hand is in the jar
    (b) That there is a jar
    (c) That there are any cookies

    On 7/8/2024 7:37 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>  >
    Tarski's x like Godel's G are know to be true by an >>>>>>>>>>>>>>>>>>>>  > infinite sequence of truth preserving operations. >>>>>>>>>>>>>>>>>>>>  >


    *From immediately above* [somethings] are >>>>>>>>>>>>>>>>>>> know to be true by an infinite sequence of truth >>>>>>>>>>>>>>>>>>> preserving operations.

    Nothing is
    known to be true by an infinite sequence of truth >>>>>>>>>>>>>>>>>>> preserving operations.


    But it is known to be (true by an infinite sequence of >>>>>>>>>>>>>>>>>> truth preserving operations)


    Some cases such as the Goldbach conjecture's truth or >>>>>>>>>>>>>>>>> falsity may
    require in infinite sequence of truth preserving >>>>>>>>>>>>>>>>> operations as
    their truthmaker. In these cases the truth or falsity >>>>>>>>>>>>>>>>> remains
    permanently unknown.


    Unless there is a meta-theory that can be discovered >>>>>>>>>>>>>>>> that allows the infinite chain to be reduced to a finite >>>>>>>>>>>>>>>> proof.


    You miss the point. True (or false) and unknowable. >>>>>>>>>>>>>>>
    No, YOU miss the point, it could be:

    False (which in this case must be provable, since false >>>>>>>>>>>>>> means the existance of a counter example, that can be show >>>>>>>>>>>>>> to make the conjecture false in a finite number of steps. >>>>>>>>>>>>>>

    OK

    True, and provable in the Theory.

    True, and not provable in the Theory, but provable in a >>>>>>>>>>>>>> Meta-Theory that transfers knowledge to the Theory. >>>>>>>>>>>>>>
    True, and not provably anywhere, and thus unknowable. >>>>>>>>>>>>>>

    True by an infinite sequence of truth preserving operations, >>>>>>>>>>>>> (thus having a truth-maker) yet unknowable.

    You don't seem to understand that the last two cases are >>>>>>>>>>>> decidedly different.

    I am saying that ONLY an infinite sequence shows that it is >>>>>>>>>>> true.


    Which means you still don't understadn about the "System" part >>>>>>>>>> o fa Formal System.

    Like Godel's G, only has an infinite chain IN THE SYSTEM, so >>>>>>>>>> is unprovable in the system, but has a finite chain in the meta, >>>>>>>>>
    I didn't know that the Goldbach conjecture had a finite chain >>>>>>>>> in meta.
    No one else seems to know that.


    I didn't say it did, I said it MIGHT, and then it would be like >>>>>>>> Godel's G. I listed FOUR possible cases for the Goldbach
    conjecture, and only one of them leaves it unknowable, but two >>>>>>>> leave it unprovable or unrefutable in the system.

    It can be hard to find a meta-system to do the trick, since
    there could litterlaly be an infinite number of them,

    You seem to have a serious English comprehension issue.

    *For the last forty messages or so*
    I have only ever been talking about the one case where an
    ONLY infinite sequence of truth preserving operations shows
    that things such as the Goldbach conjecture are true, thus
    true and unknowable.



    Which is a case that is impossible to know about, and you get into >>>>>> the definitional question,

    Not at all. That is the only case that I have been talking about

    I have only ever been talking about the one case where
    ONLY
    ONLY
    ONLY
    ONLY
    ONLY
    an infinite sequence of truth preserving operations shows
    that things such as the Goldbach conjecture are true, thus
    true and unknowable.

    I can repeat "ONLY" 500 more times if that would help
    you notice that I said it at least once.


    But that is under-specified. Is "Only" referring to

    One thing in the whole universe.


    WHICH "Universe".


    I quit


    Good idaea, since you clearly don't understand enough to continue.

    My question is quite honest, as "Universe" isn't a normal term in Formal
    Logic.

    It just shows your fundamental issue with how you are thinking.

    Is Godel's G only connected by an infinite sequence in "the universe"
    since that is all that exists in PA, or is MM part of the "universe",
    which means we have no idea how big the universe actually is, since we
    don't know (or actually we do know, and it is infinite) how many
    meta-systems could be attached to the system.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)