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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:Like ZFC redefined the foundation of all sets I redefine
Formal systems kind of sort of has some vague idea of what TrueTarski proved that True is undefineable in certain formal systems.
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.
Your definition is not expressible in F, at least not as a definition.
the foundation of all formal systems.
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