Combining Texts

All the ideas for 'Philosophy of Mathematics', 'reports' and 'Beitrage'

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8 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]
16. Persons / E. Rejecting the Self / 4. Denial of the Self
Individuals don't exist, but are conventional names for sets of elements [Buddha]
18. Thought / E. Abstraction / 2. Abstracta by Selection
We form the image of a cardinal number by a double abstraction, from the elements and from their order [Cantor]
29. Religion / C. Spiritual Disciplines / 3. Buddhism
The Buddha believed the gods would eventually disappear, and Nirvana was much higher [Buddha, by Armstrong,K]
Life is suffering, from which only compassion, gentleness, truth and sobriety can save us [Buddha]