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On 2024-08-22 13:23:39 +0000, olcott said:Then According to your reasoning ZFC is wrong because
On 8/22/2024 7:06 AM, Mikko wrote:You cannot redefine the foundation of all formal systems. Every formalOn 2024-08-21 12:47:37 +0000, olcott said:>
>>>
Formal systems kind of sort of has some vague idea of what True
means. Tarski "proved" that there is no True(L,x) that can be
consistently defined.
https://en.wikipedia.org/wiki/ Tarski%27s_undefinability_theorem#General_form
>
*The defined predicate True(L,x) fixed that*
Unless expression x has a connection (through a sequence
of true preserving operations) in system F to its semantic
meanings expressed in language L of F then x is simply
untrue in F.
>
Whenever there is no sequence of truth preserving from
x or ~x to its meaning in L of F then x has no truth-maker
in F and x not a truth-bearer in F. We never get to x is
undecidable in F.
Tarski proved that True is undefineable in certain formal systems.
Your definition is not expressible in F, at least not as a definition.
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Like ZFC redefined the foundation of all sets I redefine
the foundation of all formal systems.
system has the foundation it has and that cannot be changed. Formal
systems are eternal and immutable.
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