mathematical foundations

Primitive Recursive Relations

A primitive recursive relation is a type of relation definable using primitive recursive functions. These relations represent a subset of…

4 days ago

Impredicative Definitions in Mathematics and Logic

An impredicative definition defines an object in terms of a totality to which the object itself belongs. This can lead…

4 days ago

Finitary Formal Systems Explained

A finitary formal system uses only finite operations, proofs, and expressions. It relies on objects constructible in a finite number…

4 days ago

Constructive Logic

Constructive logic emphasizes explicit proofs of existence, demanding a concrete construction rather than indirect reasoning. It's a foundational approach in…

4 days ago