If the claim's force depends specifically on ZF/ZFC axiomatics, it is a contingent artifact of one foundational choice rather than a necessary truth about cardinality itself, undermining its use in broader theological arguments about divine power.
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(Central to comparing infinite sets and establishing that no universal set exists.)
A measure of the size of a set, indicating the number of elements it contains.
contingent(De Interpretatione 12–13)
Equated with 'possible'; on the two-sided interpretation, contingency excludes necessity (possibility implies non-necessity).
necessary truth(Mill's empiricist reinterpretation of modal concepts)
A proposition whose denial seems inconceivable, explained by Mill not as a metaphysical fact but as a result of psychological association making the proposition deeply ingrained.