Combining Texts

All the ideas for 'fragments/reports', 'Philosophy of Mathematics' and 'The Pragmatist Account of Truth'

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9 ideas

2. Reason / B. Laws of Thought / 3. Non-Contradiction
Man has an intense natural interest in the consistency of his own thinking [James]
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]
7. Existence / D. Theories of Reality / 8. Facts / c. Facts and truths
Realities just are, and beliefs are true of them [James]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism
We find satisfaction in consistency of all of our beliefs, perceptions and mental connections [James]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / G. Biology / 3. Evolution
Archelaus said life began in a primeval slime [Archelaus, by Schofield]