• Re: True on the basis of meaning --- Tarski

    From Mikko@21:1/5 to olcott on Tue May 14 13:09:02 2024
    On 2024-05-13 14:34:12 +0000, olcott said:

    On 5/13/2024 3:52 AM, Mikko wrote:
    On 2024-05-12 17:19:48 +0000, olcott said:

    On 5/12/2024 10:33 AM, Mikko wrote:
    On 2024-05-12 14:22:25 +0000, olcott said:

    On 5/12/2024 2:42 AM, Mikko wrote:
    On 2024-05-11 04:27:03 +0000, olcott said:

    On 5/10/2024 10:49 PM, Richard Damon wrote:
    On 5/10/24 11:35 PM, olcott wrote:
    On 5/10/2024 10:16 PM, Richard Damon wrote:
    On 5/10/24 10:36 PM, olcott wrote:
    The entire body of expressions that are {true on the basis of their >>>>>>>>>>> meaning} involves nothing more or less than stipulated relations between
    finite strings.


    You do know that what you are describing when applied to Formal Systems
    are the axioms of the system and the most primitively provable theorems.


    YES and there are axioms that comprise the verbal model of the >>>>>>>>> actual world, thus Quine was wrong.

    You don't understand what Quite was talking about,


    I don't need to know anything about what he was talking about
    except that he disagreed with {true on the basis or meaning}.
    I don't care or need to know how he got to an incorrect answer.



    You don't seem to understand what "Formal Logic" actually means. >>>>>>>>>>

    Ultimately it is anchored in stipulated relations between finite >>>>>>>>> strings (AKA axioms) and expressions derived from applying truth >>>>>>>>> preserving operations to these axioms.

    Which you don't seem to understand what that means.


    I understand this much more deeply than you do.

    In and about formal logic there is no valid deep understanding. Only >>>>>> a shallow understanding can be valid.


    It turns out that ALL {true on the basis of meaning} that includes
    ALL of logic and math has its entire foundation in relations between >>>>> finite strings. Some are stipulated to be true (axioms) and some
    are derived by applying truth preserving operations to these axioms.

    Usually the word "true" is not used when talking about uninterpreted
    formal systems. Axioms and what can be inferred from axioms are called >>>> "theorems". Theorems can be true in some interpretations and false in
    another. If the system is incosistent then there is no interpretation
    where all axioms are true.


    I am not talking about how these things are usually spoken of. I am
    talking about my unique contribution to the actual philosophical
    foundation of {true on the basis of meaning}.

    What matters is that you are not talking about those things as they
    are usually spoken of. The consequence is that nobody is going to
    understand you, and the consequence of that probably is that you
    cannot contribute.

    This is entirely comprised of relations between finite strings:
    some of which are stipulated to have the semantic value of Boolean
    true, and others derived from applying truth preserving operations
    to these finite string.

    Most of that doesn't require any stipulations about semantics but
    can be done with finite strings and their relations. Semantics is
    only needed to choose interesting problems and, if a problem can
    be solved, to interprete the solution.

    The only way that a system of formalized natural language can
    possibly know that {dogs} <are> {animals} is that it must be told.

    Correct.

    See also Davidson's truth conditional semantics. https://en.wikipedia.org/wiki/Truth-conditional_semantics

    That page does not say much and most of what it says is about defects
    of that approach.

    The only way that "dogs are animals" acquires semantic
    meaning is the stipulated relation: {dogs} <are> {animals}.

    That assumption only relates the two terms but does not say anyting
    else about their meanings. It permits to infer that features of some
    dogs are features of some animals and that features or all animanls
    are featrues of all dogs but says nothing abut what reatures dogs
    and animals can have.

    --
    Mikko

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Mikko@21:1/5 to olcott on Tue May 14 12:16:26 2024
    On 2024-05-13 14:34:12 +0000, olcott said:

    On 5/13/2024 3:52 AM, Mikko wrote:
    On 2024-05-12 17:19:48 +0000, olcott said:

    On 5/12/2024 10:33 AM, Mikko wrote:
    On 2024-05-12 14:22:25 +0000, olcott said:

    On 5/12/2024 2:42 AM, Mikko wrote:
    On 2024-05-11 04:27:03 +0000, olcott said:

    On 5/10/2024 10:49 PM, Richard Damon wrote:
    On 5/10/24 11:35 PM, olcott wrote:
    On 5/10/2024 10:16 PM, Richard Damon wrote:
    On 5/10/24 10:36 PM, olcott wrote:
    The entire body of expressions that are {true on the basis of their >>>>>>>>>>> meaning} involves nothing more or less than stipulated relations between
    finite strings.


    You do know that what you are describing when applied to Formal Systems
    are the axioms of the system and the most primitively provable theorems.


    YES and there are axioms that comprise the verbal model of the >>>>>>>>> actual world, thus Quine was wrong.

    You don't understand what Quite was talking about,


    I don't need to know anything about what he was talking about
    except that he disagreed with {true on the basis or meaning}.
    I don't care or need to know how he got to an incorrect answer.



    You don't seem to understand what "Formal Logic" actually means. >>>>>>>>>>

    Ultimately it is anchored in stipulated relations between finite >>>>>>>>> strings (AKA axioms) and expressions derived from applying truth >>>>>>>>> preserving operations to these axioms.

    Which you don't seem to understand what that means.


    I understand this much more deeply than you do.

    In and about formal logic there is no valid deep understanding. Only >>>>>> a shallow understanding can be valid.


    It turns out that ALL {true on the basis of meaning} that includes
    ALL of logic and math has its entire foundation in relations between >>>>> finite strings. Some are stipulated to be true (axioms) and some
    are derived by applying truth preserving operations to these axioms.

    Usually the word "true" is not used when talking about uninterpreted
    formal systems. Axioms and what can be inferred from axioms are called >>>> "theorems". Theorems can be true in some interpretations and false in
    another. If the system is incosistent then there is no interpretation
    where all axioms are true.


    I am not talking about how these things are usually spoken of. I am
    talking about my unique contribution to the actual philosophical
    foundation of {true on the basis of meaning}.

    What matters is that you are not talking about those things as they
    are usually spoken of. The consequence is that nobody is going to
    understand you, and the consequence of that probably is that you
    cannot contribute.

    This is entirely comprised of relations between finite strings:
    some of which are stipulated to have the semantic value of Boolean
    true, and others derived from applying truth preserving operations
    to these finite string.

    Most of that doesn't require any stipulations about semantics but
    can be done with finite strings and their relations. Semantics is
    only needed to choose interesting problems and, if a problem can
    be solved, to interprete the solution.


    The only way that a system of formalized natural language can
    possibly know that {dogs} <are> {animals} is that it must be told.
    See also Davidson's truth conditional semantics. https://en.wikipedia.org/wiki/Truth-conditional_semantics

    The only way that "dogs are animals" acquires semantic
    meaning is the stipulated relation: {dogs} <are> {animals}.


    This is approximately equivalent to proofs from axioms.

    It shouod be exactly equivalent.

    It is not exactly the same thing because an infinite sequence of
    inference steps may sometimes be required.

    Infinite sequences create more problem than they solve. For example,
    you can prove that 1 = 2 with the infinite sequence


    For real world things that are never required. The various
    conjectures seem to require an infinite sequence of inference steps.

    That is not known. There are real world problems that are not yet
    solved without an infinite seqeunce of inference steps and there
    remains the possibility that some of them, or one that is not yet
    thought to be a problem but will be, that cannot be solved without
    an infinite sequence of inference steps.

    Anyway, whether real world problems are solvable without an infinite
    sequence of inference steps is irrelevanto to the topic "True on the
    basis of meaning".

    --
    Mikko

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Mikko@21:1/5 to olcott on Wed May 15 11:43:03 2024
    On 2024-05-14 15:18:22 +0000, olcott said:

    On 5/14/2024 4:16 AM, Mikko wrote:
    On 2024-05-13 14:34:12 +0000, olcott said:

    On 5/13/2024 3:52 AM, Mikko wrote:
    On 2024-05-12 17:19:48 +0000, olcott said:

    On 5/12/2024 10:33 AM, Mikko wrote:
    On 2024-05-12 14:22:25 +0000, olcott said:

    On 5/12/2024 2:42 AM, Mikko wrote:
    On 2024-05-11 04:27:03 +0000, olcott said:

    On 5/10/2024 10:49 PM, Richard Damon wrote:
    On 5/10/24 11:35 PM, olcott wrote:
    On 5/10/2024 10:16 PM, Richard Damon wrote:
    On 5/10/24 10:36 PM, olcott wrote:
    The entire body of expressions that are {true on the basis of their
    meaning} involves nothing more or less than stipulated relations between
    finite strings.


    You do know that what you are describing when applied to Formal Systems
    are the axioms of the system and the most primitively provable theorems.


    YES and there are axioms that comprise the verbal model of the >>>>>>>>>>> actual world, thus Quine was wrong.

    You don't understand what Quite was talking about,


    I don't need to know anything about what he was talking about >>>>>>>>> except that he disagreed with {true on the basis or meaning}. >>>>>>>>> I don't care or need to know how he got to an incorrect answer. >>>>>>>>>


    You don't seem to understand what "Formal Logic" actually means. >>>>>>>>>>>>

    Ultimately it is anchored in stipulated relations between finite >>>>>>>>>>> strings (AKA axioms) and expressions derived from applying truth >>>>>>>>>>> preserving operations to these axioms.

    Which you don't seem to understand what that means.


    I understand this much more deeply than you do.

    In and about formal logic there is no valid deep understanding. Only >>>>>>>> a shallow understanding can be valid.


    It turns out that ALL {true on the basis of meaning} that includes >>>>>>> ALL of logic and math has its entire foundation in relations between >>>>>>> finite strings. Some are stipulated to be true (axioms) and some >>>>>>> are derived by applying truth preserving operations to these axioms. >>>>>>
    Usually the word "true" is not used when talking about uninterpreted >>>>>> formal systems. Axioms and what can be inferred from axioms are called >>>>>> "theorems". Theorems can be true in some interpretations and false in >>>>>> another. If the system is incosistent then there is no interpretation >>>>>> where all axioms are true.


    I am not talking about how these things are usually spoken of. I am
    talking about my unique contribution to the actual philosophical
    foundation of {true on the basis of meaning}.

    What matters is that you are not talking about those things as they
    are usually spoken of. The consequence is that nobody is going to
    understand you, and the consequence of that probably is that you
    cannot contribute.

    This is entirely comprised of relations between finite strings:
    some of which are stipulated to have the semantic value of Boolean
    true, and others derived from applying truth preserving operations
    to these finite string.

    Most of that doesn't require any stipulations about semantics but
    can be done with finite strings and their relations. Semantics is
    only needed to choose interesting problems and, if a problem can
    be solved, to interprete the solution.


    The only way that a system of formalized natural language can
    possibly know that {dogs} <are> {animals} is that it must be told.
    See also Davidson's truth conditional semantics.
    https://en.wikipedia.org/wiki/Truth-conditional_semantics

    The only way that "dogs are animals" acquires semantic
    meaning is the stipulated relation: {dogs} <are> {animals}.


    This is approximately equivalent to proofs from axioms.

    It shouod be exactly equivalent.

    It is not exactly the same thing because an infinite sequence of
    inference steps may sometimes be required.

    Infinite sequences create more problem than they solve. For example,
    you can prove that 1 = 2 with the infinite sequence


    For real world things that are never required. The various
    conjectures seem to require an infinite sequence of inference steps.

    That is not known. There are real world problems that are not yet
    solved without an infinite seqeunce of inference steps and there
    remains the possibility that some of them, or one that is not yet
    thought to be a problem but will be, that cannot be solved without
    an infinite sequence of inference steps.

    Anyway, whether real world problems are solvable without an infinite
    sequence of inference steps is irrelevanto to the topic "True on the
    basis of meaning".


    My whole purpose with this whole thread is to show exactly how epistemological antinomies can be recognized and rejected thus
    not form the basis for any undecidability proofs or Tarski's
    undefinability theorem.

    There are provable sentences of the form A -> B where A is some
    hypthesis and B is an epistemological antimńomy. How are these
    true statments handled when B is rejected?

    --
    Mikko

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Mikko@21:1/5 to olcott on Thu May 16 11:59:38 2024
    On 2024-05-15 14:31:47 +0000, olcott said:

    On 5/15/2024 3:43 AM, Mikko wrote:
    On 2024-05-14 15:18:22 +0000, olcott said:

    On 5/14/2024 4:16 AM, Mikko wrote:
    On 2024-05-13 14:34:12 +0000, olcott said:

    On 5/13/2024 3:52 AM, Mikko wrote:
    On 2024-05-12 17:19:48 +0000, olcott said:

    On 5/12/2024 10:33 AM, Mikko wrote:
    On 2024-05-12 14:22:25 +0000, olcott said:

    On 5/12/2024 2:42 AM, Mikko wrote:
    On 2024-05-11 04:27:03 +0000, olcott said:

    On 5/10/2024 10:49 PM, Richard Damon wrote:
    On 5/10/24 11:35 PM, olcott wrote:
    On 5/10/2024 10:16 PM, Richard Damon wrote:
    On 5/10/24 10:36 PM, olcott wrote:
    The entire body of expressions that are {true on the basis of their
    meaning} involves nothing more or less than stipulated relations between
    finite strings.


    You do know that what you are describing when applied to Formal Systems
    are the axioms of the system and the most primitively provable theorems.


    YES and there are axioms that comprise the verbal model of the >>>>>>>>>>>>> actual world, thus Quine was wrong.

    You don't understand what Quite was talking about,


    I don't need to know anything about what he was talking about >>>>>>>>>>> except that he disagreed with {true on the basis or meaning}. >>>>>>>>>>> I don't care or need to know how he got to an incorrect answer. >>>>>>>>>>>


    You don't seem to understand what "Formal Logic" actually means. >>>>>>>>>>>>>>

    Ultimately it is anchored in stipulated relations between finite >>>>>>>>>>>>> strings (AKA axioms) and expressions derived from applying truth >>>>>>>>>>>>> preserving operations to these axioms.

    Which you don't seem to understand what that means.


    I understand this much more deeply than you do.

    In and about formal logic there is no valid deep understanding. Only >>>>>>>>>> a shallow understanding can be valid.


    It turns out that ALL {true on the basis of meaning} that includes >>>>>>>>> ALL of logic and math has its entire foundation in relations between >>>>>>>>> finite strings. Some are stipulated to be true (axioms) and some >>>>>>>>> are derived by applying truth preserving operations to these axioms. >>>>>>>>
    Usually the word "true" is not used when talking about uninterpreted >>>>>>>> formal systems. Axioms and what can be inferred from axioms are called >>>>>>>> "theorems". Theorems can be true in some interpretations and false in >>>>>>>> another. If the system is incosistent then there is no interpretation >>>>>>>> where all axioms are true.


    I am not talking about how these things are usually spoken of. I am >>>>>>> talking about my unique contribution to the actual philosophical >>>>>>> foundation of {true on the basis of meaning}.

    What matters is that you are not talking about those things as they >>>>>> are usually spoken of. The consequence is that nobody is going to
    understand you, and the consequence of that probably is that you
    cannot contribute.

    This is entirely comprised of relations between finite strings:
    some of which are stipulated to have the semantic value of Boolean >>>>>>> true, and others derived from applying truth preserving operations >>>>>>> to these finite string.

    Most of that doesn't require any stipulations about semantics but
    can be done with finite strings and their relations. Semantics is
    only needed to choose interesting problems and, if a problem can
    be solved, to interprete the solution.


    The only way that a system of formalized natural language can
    possibly know that {dogs} <are> {animals} is that it must be told.
    See also Davidson's truth conditional semantics.
    https://en.wikipedia.org/wiki/Truth-conditional_semantics

    The only way that "dogs are animals" acquires semantic
    meaning is the stipulated relation: {dogs} <are> {animals}.


    This is approximately equivalent to proofs from axioms.

    It shouod be exactly equivalent.

    It is not exactly the same thing because an infinite sequence of >>>>>>> inference steps may sometimes be required.

    Infinite sequences create more problem than they solve. For example, >>>>>> you can prove that 1 = 2 with the infinite sequence


    For real world things that are never required. The various
    conjectures seem to require an infinite sequence of inference steps.

    That is not known. There are real world problems that are not yet
    solved without an infinite seqeunce of inference steps and there
    remains the possibility that some of them, or one that is not yet
    thought to be a problem but will be, that cannot be solved without
    an infinite sequence of inference steps.

    Anyway, whether real world problems are solvable without an infinite
    sequence of inference steps is irrelevanto to the topic "True on the
    basis of meaning".


    My whole purpose with this whole thread is to show exactly how
    epistemological antinomies can be recognized and rejected thus
    not form the basis for any undecidability proofs or Tarski's
    undefinability theorem.

    There are provable sentences of the form A -> B where A is some
    hypthesis and B is an epistemological antimńomy. How are these
    true statments handled when B is rejected?


    *Already addressed in great depth in my prior reply*

    You seem to use that or something similar when you don't know.
    But I wouldn't ask the question if the answer were already told.

    True(L,x) returns true when x is derived from a set of truth preserving operations from finite string expressions of language that have been stipulated to have the semantic value of Boolean true.

    In my example A -> B is provable, i.e., derived from a set of truth
    preserving operations from a set of truth preserving operations from
    finite string expressions of language that have been stipulated to have
    the semantic value of Boolean true. Therefore you say that True(L, A->B)
    is true, don't you?

    False(L,x) is
    defined as True(L,~x).

    In my example, ~(A -> B) is not true so True(~(A -> B)) is false
    and therefore False(A -> B) is false.

    Every expression such that True(L,x)==false and False(L,x)==false
    is rejected as a type mismatch error.

    As in my example Ture(L, A -> B) is not false (unless ture==false),
    so A -> B is not rejected.

    So how do you reject B without rejecting A -> B?

    --
    Mikko

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Mikko@21:1/5 to olcott on Fri May 17 18:56:13 2024
    On 2024-05-16 16:00:59 +0000, olcott said:

    On 5/15/2024 3:43 AM, Mikko wrote:
    On 2024-05-14 15:18:22 +0000, olcott said:

    On 5/14/2024 4:16 AM, Mikko wrote:
    On 2024-05-13 14:34:12 +0000, olcott said:

    On 5/13/2024 3:52 AM, Mikko wrote:
    On 2024-05-12 17:19:48 +0000, olcott said:

    On 5/12/2024 10:33 AM, Mikko wrote:
    On 2024-05-12 14:22:25 +0000, olcott said:

    On 5/12/2024 2:42 AM, Mikko wrote:
    On 2024-05-11 04:27:03 +0000, olcott said:

    On 5/10/2024 10:49 PM, Richard Damon wrote:
    On 5/10/24 11:35 PM, olcott wrote:
    On 5/10/2024 10:16 PM, Richard Damon wrote:
    On 5/10/24 10:36 PM, olcott wrote:
    The entire body of expressions that are {true on the basis of their
    meaning} involves nothing more or less than stipulated relations between
    finite strings.


    You do know that what you are describing when applied to Formal Systems
    are the axioms of the system and the most primitively provable theorems.


    YES and there are axioms that comprise the verbal model of the >>>>>>>>>>>>> actual world, thus Quine was wrong.

    You don't understand what Quite was talking about,


    I don't need to know anything about what he was talking about >>>>>>>>>>> except that he disagreed with {true on the basis or meaning}. >>>>>>>>>>> I don't care or need to know how he got to an incorrect answer. >>>>>>>>>>>


    You don't seem to understand what "Formal Logic" actually means. >>>>>>>>>>>>>>

    Ultimately it is anchored in stipulated relations between finite >>>>>>>>>>>>> strings (AKA axioms) and expressions derived from applying truth >>>>>>>>>>>>> preserving operations to these axioms.

    Which you don't seem to understand what that means.


    I understand this much more deeply than you do.

    In and about formal logic there is no valid deep understanding. Only >>>>>>>>>> a shallow understanding can be valid.


    It turns out that ALL {true on the basis of meaning} that includes >>>>>>>>> ALL of logic and math has its entire foundation in relations between >>>>>>>>> finite strings. Some are stipulated to be true (axioms) and some >>>>>>>>> are derived by applying truth preserving operations to these axioms. >>>>>>>>
    Usually the word "true" is not used when talking about uninterpreted >>>>>>>> formal systems. Axioms and what can be inferred from axioms are called >>>>>>>> "theorems". Theorems can be true in some interpretations and false in >>>>>>>> another. If the system is incosistent then there is no interpretation >>>>>>>> where all axioms are true.


    I am not talking about how these things are usually spoken of. I am >>>>>>> talking about my unique contribution to the actual philosophical >>>>>>> foundation of {true on the basis of meaning}.

    What matters is that you are not talking about those things as they >>>>>> are usually spoken of. The consequence is that nobody is going to
    understand you, and the consequence of that probably is that you
    cannot contribute.

    This is entirely comprised of relations between finite strings:
    some of which are stipulated to have the semantic value of Boolean >>>>>>> true, and others derived from applying truth preserving operations >>>>>>> to these finite string.

    Most of that doesn't require any stipulations about semantics but
    can be done with finite strings and their relations. Semantics is
    only needed to choose interesting problems and, if a problem can
    be solved, to interprete the solution.


    The only way that a system of formalized natural language can
    possibly know that {dogs} <are> {animals} is that it must be told.
    See also Davidson's truth conditional semantics.
    https://en.wikipedia.org/wiki/Truth-conditional_semantics

    The only way that "dogs are animals" acquires semantic
    meaning is the stipulated relation: {dogs} <are> {animals}.


    This is approximately equivalent to proofs from axioms.

    It shouod be exactly equivalent.

    It is not exactly the same thing because an infinite sequence of >>>>>>> inference steps may sometimes be required.

    Infinite sequences create more problem than they solve. For example, >>>>>> you can prove that 1 = 2 with the infinite sequence


    For real world things that are never required. The various
    conjectures seem to require an infinite sequence of inference steps.

    That is not known. There are real world problems that are not yet
    solved without an infinite seqeunce of inference steps and there
    remains the possibility that some of them, or one that is not yet
    thought to be a problem but will be, that cannot be solved without
    an infinite sequence of inference steps.

    Anyway, whether real world problems are solvable without an infinite
    sequence of inference steps is irrelevanto to the topic "True on the
    basis of meaning".


    My whole purpose with this whole thread is to show exactly how
    epistemological antinomies can be recognized and rejected thus
    not form the basis for any undecidability proofs or Tarski's
    undefinability theorem.

    There are provable sentences of the form A -> B where A is some
    hypthesis and B is an epistemological antimńomy. How are these
    true statments handled when B is rejected?

    Epistemological antinomies have no truth value and implication
    requires a pair of truth bearers that have a Boolean value thus
    your expression is rejected as a type mismatch error.

    So if X is true and Y something complicated we cannot trust that
    X or Y is true without analyzing that Y?

    --
    Mikko

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Mikko@21:1/5 to olcott on Sat May 18 10:46:45 2024
    On 2024-05-17 17:28:19 +0000, olcott said:

    On 5/17/2024 10:56 AM, Mikko wrote:
    On 2024-05-16 16:00:59 +0000, olcott said:

    On 5/15/2024 3:43 AM, Mikko wrote:
    On 2024-05-14 15:18:22 +0000, olcott said:

    On 5/14/2024 4:16 AM, Mikko wrote:
    On 2024-05-13 14:34:12 +0000, olcott said:

    On 5/13/2024 3:52 AM, Mikko wrote:
    On 2024-05-12 17:19:48 +0000, olcott said:

    On 5/12/2024 10:33 AM, Mikko wrote:
    On 2024-05-12 14:22:25 +0000, olcott said:

    On 5/12/2024 2:42 AM, Mikko wrote:
    On 2024-05-11 04:27:03 +0000, olcott said:

    On 5/10/2024 10:49 PM, Richard Damon wrote:
    On 5/10/24 11:35 PM, olcott wrote:
    On 5/10/2024 10:16 PM, Richard Damon wrote:
    On 5/10/24 10:36 PM, olcott wrote:
    The entire body of expressions that are {true on the basis of their
    meaning} involves nothing more or less than stipulated relations between
    finite strings.


    You do know that what you are describing when applied to Formal Systems
    are the axioms of the system and the most primitively provable theorems.


    YES and there are axioms that comprise the verbal model of the >>>>>>>>>>>>>>> actual world, thus Quine was wrong.

    You don't understand what Quite was talking about, >>>>>>>>>>>>>>

    I don't need to know anything about what he was talking about >>>>>>>>>>>>> except that he disagreed with {true on the basis or meaning}. >>>>>>>>>>>>> I don't care or need to know how he got to an incorrect answer. >>>>>>>>>>>>>


    You don't seem to understand what "Formal Logic" actually means.


    Ultimately it is anchored in stipulated relations between finite
    strings (AKA axioms) and expressions derived from applying truth
    preserving operations to these axioms.

    Which you don't seem to understand what that means. >>>>>>>>>>>>>>

    I understand this much more deeply than you do.

    In and about formal logic there is no valid deep understanding. Only
    a shallow understanding can be valid.


    It turns out that ALL {true on the basis of meaning} that includes >>>>>>>>>>> ALL of logic and math has its entire foundation in relations between
    finite strings. Some are stipulated to be true (axioms) and some >>>>>>>>>>> are derived by applying truth preserving operations to these axioms.

    Usually the word "true" is not used when talking about uninterpreted >>>>>>>>>> formal systems. Axioms and what can be inferred from axioms are called
    "theorems". Theorems can be true in some interpretations and false in
    another. If the system is incosistent then there is no interpretation
    where all axioms are true.


    I am not talking about how these things are usually spoken of. I am >>>>>>>>> talking about my unique contribution to the actual philosophical >>>>>>>>> foundation of {true on the basis of meaning}.

    What matters is that you are not talking about those things as they >>>>>>>> are usually spoken of. The consequence is that nobody is going to >>>>>>>> understand you, and the consequence of that probably is that you >>>>>>>> cannot contribute.

    This is entirely comprised of relations between finite strings: >>>>>>>>> some of which are stipulated to have the semantic value of Boolean >>>>>>>>> true, and others derived from applying truth preserving operations >>>>>>>>> to these finite string.

    Most of that doesn't require any stipulations about semantics but >>>>>>>> can be done with finite strings and their relations. Semantics is >>>>>>>> only needed to choose interesting problems and, if a problem can >>>>>>>> be solved, to interprete the solution.


    The only way that a system of formalized natural language can
    possibly know that {dogs} <are> {animals} is that it must be told. >>>>>>> See also Davidson's truth conditional semantics.
    https://en.wikipedia.org/wiki/Truth-conditional_semantics

    The only way that "dogs are animals" acquires semantic
    meaning is the stipulated relation: {dogs} <are> {animals}.


    This is approximately equivalent to proofs from axioms.

    It shouod be exactly equivalent.

    It is not exactly the same thing because an infinite sequence of >>>>>>>>> inference steps may sometimes be required.

    Infinite sequences create more problem than they solve. For example, >>>>>>>> you can prove that 1 = 2 with the infinite sequence


    For real world things that are never required. The various
    conjectures seem to require an infinite sequence of inference steps. >>>>>>
    That is not known. There are real world problems that are not yet
    solved without an infinite seqeunce of inference steps and there
    remains the possibility that some of them, or one that is not yet
    thought to be a problem but will be, that cannot be solved without >>>>>> an infinite sequence of inference steps.

    Anyway, whether real world problems are solvable without an infinite >>>>>> sequence of inference steps is irrelevanto to the topic "True on the >>>>>> basis of meaning".


    My whole purpose with this whole thread is to show exactly how
    epistemological antinomies can be recognized and rejected thus
    not form the basis for any undecidability proofs or Tarski's
    undefinability theorem.

    There are provable sentences of the form A -> B where A is some
    hypthesis and B is an epistemological antimńomy. How are these
    true statments handled when B is rejected?

    Epistemological antinomies have no truth value and implication
    requires a pair of truth bearers that have a Boolean value thus
    your expression is rejected as a type mismatch error.

    So if X is true and Y something complicated we cannot trust that
    X or Y is true without analyzing that Y?


    The lack of any sequence of truth preserving operations from
    expressions of language that have been stipulated to be true
    --set of finite string semantic meanings that form an accurate
    --model of the general knowledge of the actual world.
    to x or ~x indicates that x is not a truth bearer and must
    be rejected as a type mismatch error in any formal system of
    bivalent logic.

    *This seems to screen out any any all undecidable inputs*

    In my example X is one of those statements that are true according
    to what is said above. Y is a syntactically correct formulat but
    so compicated that to determine its truth value would require a
    considerable effort.

    I asked whether one must analyze Y in order to determine whether
    X or Y is true. You didn't answer.

    --
    Mikko

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