green numbers give full details.

back to list of philosophers

expand these ideas
Ideas of Harold Hodes, by Text
[American, fl. 1990, Professor at Cornell University.]
1984

Logicism and Ontological Commits. of Arithmetic


p.124

10011

Identity is a level one relation with a secondorder definition


p.139

10021

It is claimed that numbers are objects which essentially represent cardinality quantifiers


p.149

10027

Mathematics is higherorder modal logic

p.131

p.131

10016

When an 'interpretation' creates a model based on truth, this doesn't include Fregean 'sense'

p.131

p.131

10017

Truth in a model is more tractable than the general notion of truth

p.131

p.131

10015

Higherorder logic may be unintelligible, but it isn't set theory

p.132

p.132

10018

Truth is quite different in interpreted set theory and in the skeleton of its language

p.142

p.142

10022

Numerical terms can't really stand for quantifiers, because that would make them firstlevel

p.146

p.146

10023

Talk of mirror images is 'encoded fictions' about real facts

p.148

p.148

10026

Arithmetic must allow for the possibility of only a finite total of objects
