more from Peter Smith

Single Idea 10074

[catalogued under 5. Theory of Logic / E. Structures of Logic / 5. Functions in Logic]

Full Idea

A 'total function' is one which maps every element of a domain to exactly one corresponding value in another set.

Gist of Idea

A 'total function' maps every element to one element in another set


Peter Smith (Intro to Gödel's Theorems [2007], 02.1)

Book Reference

Smith,Peter: 'An Introduction to Gödel's Theorems' [CUP 2007], p.8

Related Ideas

Idea 13700 A 'total' function must always produce an output for a given domain [Sider]

Idea 13811 A 'total' function ranges over the whole domain, a 'partial' function over appropriate inputs [Bostock]