Combining Texts

All the ideas for 'Time Without Change', 'On Platonism in Mathematics' and 'Principles of Theoretical Logic'

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11 ideas

2. Reason / A. Nature of Reason / 9. Limits of Reason
People have had good reasons for thinking that the circle has been squared [Shoemaker]
4. Formal Logic / C. Predicate Calculus PC / 1. Predicate Calculus PC
The first clear proof of the consistency of the first order predicate logic was in 1928 [Hilbert/Ackermann, by Walicki]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Very few things in set theory remain valid in intuitionist mathematics [Bernays]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Restricted Platonism is just an ideal projection of a domain of thought [Bernays]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Mathematical abstraction just goes in a different direction from logic [Bernays]
7. Existence / D. Theories of Reality / 4. Anti-realism
Inability to measure equality doesn't make all lengths unequal [Shoemaker]
We couldn't verify the earth's rotation if everyone simultaneously fell asleep [Shoemaker]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Maybe billions of changeless years have elapsed since my last meal [Shoemaker]
26. Natural Theory / C. Causation / 9. General Causation / a. Constant conjunction
If things turn red for an hour and then explode, we wouldn't say the redness was the cause [Shoemaker]
27. Natural Reality / D. Time / 1. Nature of Time / e. Eventless time
If three regions 'freeze' every three, four and five years, after sixty years everything stops for a year [Shoemaker, by Lowe]
If three regions freeze every 3rd, 4th and 5th year, they all freeze together every 60 years [Shoemaker]