XPost: sci.math, comp.theory
On 12/23/23 11:59 AM, olcott wrote:
*This cannot be understood outside of the philosophy of logic*
Most importantly analytical truthmaker theory must be understood.
*This is true by definition* Within the body of analytical truth of the analytic/synthetic distinction every element of the body of analytic knowledge (BOAK) is true entirely on the basis of its connection to the semantic meanings that make it true.
Right, and the body of analytical truth accepts that this connection is
allowed to be infinite in length. Analytical KNOWLEDGE requires the
connection to be finite in length, so Analytical Truth accepts that
there can be TRUTHS that might not be KNOWABLE.
This proves that Gödel's 1931 Incompleteness and Tarski's Undefinability Theorem cannot apply to the body of analytical knowledge (BOAK). Lacking
this connection excludes an expression from the BOAK, thus undecidable expressions cannot exist within the BOAK.
No, the BOAK knows that there are TRUTHS in the BOAT that can't be in BOAK.
So, if you mean there can;t be something that is KNOWN that can't be
proven, yes, you are right, but the analytical system based on all
knowledge includes the analitcal rules to allow other statements to be
TRUE (even if not Provable), so your "BOAK" isn't complete,
Now, if you mean a system that has just every statement in BOAK but NO
rules to allow determination of new truths, such a system is absoultely WORTHLESS.
True(x) is defined by the above, within the BOAK thus refuting Tarski.
Every element of the BOAK has a provability connection to its semantic meanings truthmaker within the BOAK thus refuting both Tarski and Gödel
that say this cannot correctly and consistently accomplished.
But if your system BOAK doesn't allow any determination of new Truths,
then it doesn't meet the requirement of Tarski to apply.
In fact, it seems you are trying to define Logic as a dead subject, as
nothing new can be ever known.
*This is similar to Wittgenstein* https://www.liarparadox.org/Wittgenstein.pdf
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