Ideas from 'Logicism and Ontological Commits. of Arithmetic' by Harold Hodes [1984], by Theme Structure
[found in 'Journal of Philosophy' (ed/tr ) [ ,]].
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3. Truth / F. Semantic Truth / 2. Semantic Truth
10018

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

10017

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

5. Theory of Logic / A. Overview of Logic / 7. SecondOrder Logic
10015

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

5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
10011

Identity is a level one relation with a secondorder definition

5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
10016

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

6. Mathematics / A. Nature of Mathematics / 3. Numbers / a. Numbers
10027

Mathematics is higherorder modal logic

6. Mathematics / A. Nature of Mathematics / 3. Numbers / q. Arithmetic
10026

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

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
10021

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

10022

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

7. Existence / D. Theories of Reality / 6. Fictionalism
10023

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