Tag: mathematical

Finitary Formal Systems Explained

A finitary formal system uses only finite operations, proofs, and expressions. It…

Steven Haynes

Finitary Arithmetic

Finitary arithmetic is a mathematical approach that emphasizes constructive methods, avoiding infinite…

Steven Haynes

Endomorphism: Preserving Structure in Mathematical Objects

An endomorphism is a structure-preserving function mapping a mathematical object to itself.…

Steven Haynes

Elimination of Quantifiers

A technique in mathematical logic to remove quantifiers from formulas, preserving logical…

Steven Haynes

Diagonalization Lemma

A crucial lemma in Gödel's incompleteness theorems. It states that for any…

Steven Haynes

Curry’s Paradox

Curry's paradox is a logical paradox that emerges from self-referential statements asserting…

Steven Haynes

Constructive Proof

A constructive proof shows a mathematical object exists by providing a method…

Steven Haynes

Constructive Mathematics

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

Steven Haynes

Constructive Logic

Constructive logic emphasizes explicit proofs of existence, demanding a concrete construction rather…

Steven Haynes

Combinatory Logic

Combinatory logic is a branch of mathematical logic that aims to simplify…

Steven Haynes