Combining Texts

All the ideas for 'Protocol Sentences', 'Philosophy of Mathematics' and 'Super Epistolam Pauli Apostoli'

expand these ideas     |    start again     |     specify just one area for these texts


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]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / f. Foundationalism critique
If we are rebuilding our ship at sea, we should jettison some cargo [Boolos on Neurath]
We must always rebuild our ship on the open sea; we can't reconstruct it properly in dry-dock [Neurath]
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]