Combining Texts

All the ideas for 'Philosophy of Mathematics', 'Critical Common-Sensism' and 'works'

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7 ideas

2. Reason / D. Definition / 8. Impredicative Definition
10882 Predicative definitions only refer to entities outside the defined collection [Horsten]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
10884 A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
10885 Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10881 The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
14797 Vagueness is a neglected but important part of mathematical thought [Peirce]
14798 All communication is vague, and is outside the principle of non-contradiction [Peirce]
13. Knowledge Criteria / B. Internal Justification / 3. Evidentialism / b. Evidentialism
6587 It is always wrong to believe things on insufficient evidence [Clifford]