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    Every pure mathematical truth is a necessary truth. — Carmelics
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    Supports→Explanation is hyperintensional, meaning expressions flanking 'explains' cannot always be substituted with necessary equivalents salva veritate.

    Every pure mathematical truth is a necessary truth.

    Modality & PossibilityTruth & Knowledge
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    Modality & PossibilityTruth & Knowledge

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    Causation4 linkedPhilosophy of Language

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    Explanation is hyperintensional, meaning expressions flanking 'explains' cannot ...Not every mathematical truth explains every other mathematical truth.One pure mathematical truth can explain another mathematical truth.Therefore, necessary equivalence is insufficient to guarantee explanatory substi...

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    One pure mathematical truth can explain another mathematical truth.89%Not every mathematical truth explains every other mathematical truth.83%Every necessary truth is entailed by every proposition.81%In virtue of God's free will, mathematical truths are necessarily as t...80%

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    Explanation is plausibly hyperintensional: “explains” can be flanked by expressions that cannot be substituted with necessary equivalents salva veritate. One pure mathematical truth can explain another, but not every mathematical truth explains every other, even if every pure mathematical truth is a necessary truth (Baron, Colyvan, & Ripley 2020). Schneider (2011) argues that sometimes logical equivalents can explain each other, making a case that “because” is hyperintensional. \({\sim}{\sim

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