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But obviously sometimes sentences areBut when we talk about "decidability" this is actually
decidable, and sometimes not. Since
this depends on "True" and "L".
Actually modern logic does it much simpler,Tarski "proved" that True(L,x) cannot be consistently defined
you don't need to prescribe or explain what
a "True" and "L" does, in that you repeat
nonsense like for example:No we specify the whole foundation of every True(L,x)
> A truth maker is any sequence of truth preserving operations
> that links an expression x of language L to its semantic meaning
> in language L. The lack of such a connection in L to x or ~x
> means that x is not a truth-bearer in L.
Its much much easier to define a "logic".
You just take a language of sentences S.
And define a "logic" L as a subset of S.
You can imagine that L was defined as follows:I have no idea what the Hell A e S means.
L := { A e S | True(L, A) }
But this is not necessarely the case how L is
conceived, or how L comes into being.
So a logic L is just a set of sentences. YouThe foundation of analytic truth is a set of sentences
don't need the notion truth maker or truth bearer
at all, all you need to say you have some L ⊆ S.
You can then study such L's. For example:I don't go through all that convoluted mess.
- classical logic
- intuitionistic logic
- etc..
olcott schrieb:--On 7/24/2024 3:34 PM, Mild Shock wrote:But truth bearer has another meaning.>
The more correct terminology is anyway
truth maker, you have to shift away the
>
focus from the formula and think it is
a truth bearer, this is anyway wrong,
since you have two additional parameters
your "True" and your language "L".
>
So all that we see here in expression such as:
>
[~] True(L, [~] A)
>
Is truth making, and not truth bearing.
In recent years truth making has received
some attention, there are interesting papers
concerning truth makers. And it has
>
even a SEP article:
>
Truthmakers
https://plato.stanford.edu/entries/truthmakers/
>
Because the received view has never gotten past Quine's
nonsense rebuttal of the analytic synthetic distinction
no other expert on truth-maker theory made much progress.
>
{true on the basis of meaning expressed in language}
conquers any of Quine's gibberish.
>
A truth maker is any sequence of truth preserving operations
that links an expression x of language L to its semantic meaning
in language L. The lack of such a connection in L to x or ~x
means that x is not a truth-bearer in L.
>A world of truthmakers?>
https://philipp.philosophie.ch/handouts/2005-5-5-truthmakers.pdf
>
This seems at least reasonably plausible yet deals with things besides
{true on the basis of meaning expressed in language}
>olcott schrieb:>
>
> The key difference is that we no long use the misnomer
> "undecidable" sentence and instead call it for what it
> really is an expression that is not a truth bearer, or
> proposition in L.
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