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]