Combining Texts

All the ideas for 'Philosophy of Mathematics', '03: Book of Leviticus' and 'Tonk, Plonk and Plink'

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6 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]
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
Analytic explanation is wholes in terms of parts; synthetic is parts in terms of wholes or contexts [Belnap]
22. Metaethics / B. Value / 2. Values / g. Love
Thou shalt love thy neighbour as thyself [Anon (Leviticus)]