green numbers give full details.

back to list of philosophers

expand these ideas
Ideas of Charles Parsons, by Text
[American, fl. 1980, Professor at Columbia University, then Harvard University.]
1965

Frege's Theory of Numbers


p.194

17447

Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Heck]

1971

A Plea for Substitutional Quantification

p.156

p.156

9468

On the substitutional interpretation, '(∃x) Fx' is true iff a closed term 't' makes Ft true

p.156

p.156

9469

Substitutional existential quantifier may explain the existence of linguistic entities

p.159 n8

p.159

9470

Modal logic is not an extensional language

1980

Mathematical Intuition

p.152

p.106

18201

General principles can be obvious in mathematics, but bold speculations in empirical science

2009

Review of Tait 'Provenance of Pure Reason'

§2

p.224

13417

If a mathematical structure is rejected from a physical theory, it retains its mathematical status

§2

p.225

13418

The old problems with the axiom of choice are probably better ascribed to the law of excluded middle

§4

p.237

13419

If functions are transfinite objects, finitists can have no conception of them
