Combining Texts

Ideas for 'Ethical Studies', 'Word and Object' and 'Empiricism, Semantics and Ontology'

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4 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers

17905

Any progression will do nicely for numbers; they can all then be used to measure multiplicity [Quine]

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics

9556	Nearly all of mathematics has to quantify over abstract objects [Quine]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism

13936

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

8748	Logical positivists incorporated geometry into logicism, saying axioms are just definitions [Carnap, by Shapiro]