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Post by xxxxxxxxx on Jul 5, 2021 20:25:48 GMT
"A" is defined through its repetition through "=" in "A=A".
"=" is undefined except through "=(A)=" where "=" is defined through its repetition through "A". An example of this would be "equality results in equality".
The middle term allows for the repetition of one phenomenon through another with this repetition resulting in identity. However this repetition is the continuity of a singular phenomenon thus necessitating identity being grounded in its individual expression or singularness.
As such both "A" and "=" are define through their relations, with "A=A" and "=(A)=" being dependent upon eachother, thus reducing the truth value to "A=" or "A equals" or "A is". This reduction results from identity being strictly monadic in the respect it gains its identity through a singular expression or rather expression of its singularness. In simpler terms identity is expressed through its monadicity with this monadicity being grounded in its continuity through repetition.
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Post by Eugene 2.0 on Jul 9, 2021 21:17:32 GMT
Quite same Pierce told. He said that A is A is not the example of analyticity, because this time (A=A) we know that one formula can be replaced by itself.
"is" in 'A is A' is "A is A" two, since we should know how this f: let "f(x)=y" means "f(A)=A", then "A=A" is function. While to consider "A=A" or "f(A)=A", we have to understand "_=_" or what we have to put to f(x)=y to have a proper formula. And that "=" hasn't been identified yet: to identify it we must know previously that "_=_" works. However, having no previous examples like A=A how will we imply this?! While - the paradox occurs - to know A=A we have to know f(x)=y firstly... So, here's a circle, and no circles have no exit from them.
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