Combining Texts

All the ideas for 'Super Epistolam Pauli Apostoli', 'Philosophy of Mathematics' and 'Philosophy without Intuitions'

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7 ideas

2. Reason / D. Definition / 8. Impredicative Definition
Predicative definitions only refer to entities outside the defined collection [Horsten]
2. Reason / E. Argument / 7. Thought Experiments
So-called 'though experiments' are just philosophers observing features of the world [Cappelen]
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]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
The word 'intuitive' often plays not role at all in arguments, and can be removed [Cappelen]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
If the soul achieves well-being in another life, it doesn't follow that I do [Aquinas]