more from Rudolph Carnap

### Single Idea 13936

#### [catalogued under 6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism]

Full Idea

For the internal question like 'is there a prime number greater than a hundred?' the answers are found by logical analysis based on the rules for the new expressions. The answers here are analytic, i.e., logically true.

Clarification

See Idea 13933 for 'internal' questions

Gist of Idea

Questions about numbers are answered by analysis, and are analytic, and hence logically true

Source

Rudolph Carnap (Empiricism, Semantics and Ontology [1950], 2)

Book Reference

Carnap,Rudolph: 'Meaning and Necessity (2nd ed)' [Chicago 1988], p.209

Related Ideas

Idea 13933
Existence questions are 'internal' (within a framework) or 'external' (concerning the whole framework) **[Carnap]**

Idea 13236
Logical truth is much more important if mathematics rests on it, as logicism claims **[Beall/Restall]**

Idea 12521
We can only know a thing's powers when we have combined it with many things **[Locke]**