Combining Texts

Ideas for 'Defending the Axioms', 'Parts' and 'works'

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7 ideas

5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism

21493

Pure mathematics deals only with hypotheses, of which the reality does not matter [Peirce]

17620

Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]

5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence

19102

Bivalence is a regulative assumption of enquiry - not a law of logic [Peirce, by Misak]

5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names

12876

Philosophy is stuck on the Fregean view that an individual is anything with a proper name [Simons]

5. Theory of Logic / G. Quantification / 6. Plural Quantification

12845

Some natural languages don't distinguish between singular and plural [Simons]

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation

17605

Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]

17625

If two mathematical themes coincide, that suggest a single deep truth [Maddy]