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Confusion concerning first-order logic and Russell’s paradox

I perceive the distinction between ZFC (set principle with out God) and L (first order logic).
I perceive Russell’s paradox in ZFC. It tells that there is not any well-ordering of $Bbb{N}$ that’s injective or surjective.
And I additionally know that Russell’s paradox just isn’t a contradiction (contradiction is fake).
However why is it not thought of an inconsistency?

A:

Within the Hilbert-Heyting calculus, phrases are closed formulation. Thus the operator $varphi(psi)$ replaces solely $psi$ and $varphi$ by $psi$, for any substitutions $varphi$ and $psi$, and the judgment $varphi(psi)vdashpsi$ represents a derivation within the calculus.
The calculus offers a direct algebraic characterisation of consistency:

Definition A principle is inconsistent iff there exists no $varphi$ such that $vdashvarphi(varphi)$.

It’s identified that each inconsistent principle within the calculus is self-inconsistent, by a easy induction on the complexity of the components.
Russell’s paradox doesn’t match into this framework. Whereas it may be formulated as a contradiction, it may be given a normal proof (inside ZFC) that it can’t be formulated as a logical contradiction, as per the intuitive clarification I gave. Thus, it can’t be dominated out by the calculus or any direct and elementary reasoning inside ZFC.
I’m not very acquainted with formal logics or semantics, however I feel I can let you know that Russell’s paradox (or usually, a derivable contradiction) can’t be derived inside ZFC even in the event you begin with ZFC, which could recommend that it isn’t derivable inside ZFC. (I might be unsuitable about this.)

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Is it protected to alter the socket of a thread in Perl?

I am very new to Perl and I am attempting to know the way it works. Is it protected to alter the socket of a thread in Perl?

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