more from Charles Chihara

### Single Idea 8759

#### [catalogued under 6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory]

Full Idea

Chihara's system is similar to simple type theory; he replaces each type with variables over open sentences, replaces membership (or predication) with satisfaction, and replaces quantifiers over level 1+ variables with constructability quantifiers.

Gist of Idea

We can replace type theory with open sentences and a constructibility quantifier

Source

report of Charles Chihara (Constructibility and Mathematical Existence [1990]) by Stewart Shapiro - Thinking About Mathematics 9.2

Book Reference

Shapiro,Stewart: 'Thinking About Mathematics' [OUP 2000], p.242

A Reaction

This is interesting for showing that type theory may not be dead. The revival of supposedly dead theories is the bread-and-butter of modern philosophy.