Philosophy of Mathematics

Recent Posts For Philosophy of Mathematics

Soundness in Logic

Soundness ensures that a logical system's derived theorems are always true under…

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Objectual Quantifiers in Formal Logic

Objectual quantifiers are a type of quantifier in formal logic that specifically…

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The Indispensability Argument in Philosophy of Mathematics

This argument posits that if mathematical entities are essential for our most…

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Hilbert’s Program

An ambitious project by David Hilbert to formalize all mathematics and prove…

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Frege’s Theorem

Frege's theorem establishes that arithmetic is reducible to logic. It demonstrates how…

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Free Choice Sequence

A sequence of numbers where each element is chosen without any predetermined…

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Constructive Mathematics

Constructive mathematics emphasizes mathematical objects that are provably constructible and computable. It…

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Bad Company Objection

The bad company objection challenges mathematical abstractionism by highlighting the difficulty in…

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Aristotelian Comprehension Schema

The Aristotelian comprehension schema, represented as (∃x)Φ → (∃Y)(∀x)(Yx ↔ Φ) in…

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Abstraction Principle

An abstraction principle is a formula stating that two abstract objects are…

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