Combining Texts

All the ideas for 'Philosophy of Mathematics', 'Notes on Logic' and 'Whose Justice? Which Rationality?'

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7 ideas

2. Reason / D. Definition / 8. Impredicative Definition
Predicative definitions only refer to entities outside the defined collection [Horsten]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
7. Existence / D. Theories of Reality / 8. Facts / d. Negative facts
Facts can be both positive and negative [Wittgenstein, by Potter]
13. Knowledge Criteria / E. Relativism / 4. Cultural relativism
Relativism can be seen as about the rationality of different cultural traditions [MacIntyre, by Kusch]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
Liberals debate how conservative or radical to be, but don't question their basics [MacIntyre]