Combining Texts

Ideas for 'Logicism and Ontological Commits. of Arithmetic', 'Introduction to the Philosophy of History' and 'Short History of Modern Philosophy'

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4 ideas

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

10027

Mathematics is higher-order modal logic [Hodes]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic

10026

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

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 [Hodes]

10022

Numerical terms can't really stand for quantifiers, because that would make them first-level [Hodes]