more from Theodore Sider

Single Idea 13722

[catalogued under 5. Theory of Logic / B. Logical Consequence / 3. Deductive Consequence |-]

Full Idea

A 'theorem' is defined as the last line of a proof in which each line is either an axiom or follows from earlier lines by a rule.

Gist of Idea

A 'theorem' is an axiom, or the last line of a legitimate proof


Theodore Sider (Logic for Philosophy [2010], 9.7)

Book Reference

Sider,Theodore: 'Logic for Philosophy' [OUP 2010], p.250

A Reaction

In other words, theorems are the axioms and their implications.