Ideas from 'Truth by Convention' by Willard Quine [1935], by Theme Structure

[found in 'Ways of Paradox and other essays' by Quine,Willard [Harvard 1976,0-674-94837-8]].

Click on the Idea Number for the full details    |     back to texts     |     expand these ideas

1. Philosophy / F. Analytic Philosophy / 1. Analysis
If if time is money then if time is not money then time is money then if if if time is not money...
2. Reason / D. Definition / 7. Contextual Definition
Definition by words is determinate but relative; fixing contexts could make it absolute
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
Quine quickly dismisses If-thenism
5. Theory of Logic / C. Ontology of Logic / 4. Logic by Convention
Logic needs general conventions, but that needs logic to apply them to individual cases
Claims that logic and mathematics are conventional are either empty, uninteresting, or false
Logic isn't conventional, because logic is needed to infer logic from conventions
If a convention cannot be communicated until after its adoption, what is its role?
6. Mathematics / A. Nature of Mathematics / 5. Geometry
If analytic geometry identifies figures with arithmetical relations, logicism can include geometry
6. Mathematics / B. Foundations for Mathematics / 2. Axioms for Geometry
There are four different possible conventional accounts of geometry
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
If mathematics follows from definitions, then it is conventional, and part of logic