Combining Texts

All the ideas for 'Philosophy of Mathematics', 'The Mirage of Social Justice' and 'Letters to Coste'

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7 ideas

2. Reason / A. Nature of Reason / 9. Limits of Reason
The universe is infinitely varied, so the Buridan's Ass dilemma could never happen [Leibniz]
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]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
There may be a world where dogs smell their game at a thousand leagues [Leibniz]
25. Social Practice / D. Justice / 1. Basis of justice
'Social justice' is a confused idea, and inequalities need no justification [Hayek, by Swift]