Finitary Formal Systems Explained
A finitary formal system uses only finite operations, proofs, and expressions. It…
Finitary Arithmetic
Finitary arithmetic is a mathematical approach that emphasizes constructive methods, avoiding infinite…
Endomorphism: Preserving Structure in Mathematical Objects
An endomorphism is a structure-preserving function mapping a mathematical object to itself.…
Elimination of Quantifiers
A technique in mathematical logic to remove quantifiers from formulas, preserving logical…
Diagonalization Lemma
A crucial lemma in Gödel's incompleteness theorems. It states that for any…
Curry’s Paradox
Curry's paradox is a logical paradox that emerges from self-referential statements asserting…
Constructive Proof
A constructive proof shows a mathematical object exists by providing a method…
Constructive Mathematics
Constructive mathematics emphasizes mathematical objects that are provably constructible and computable. It…
Constructive Logic
Constructive logic emphasizes explicit proofs of existence, demanding a concrete construction rather…
Combinatory Logic
Combinatory logic is a branch of mathematical logic that aims to simplify…