Combining Texts

All the ideas for 'Precis of 'Limits of Abstraction'', 'The Architecture of Mathematics' and 'Summa Contra Gentiles'

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8 ideas

1. Philosophy / A. Wisdom / 2. Wise People
22115 Wise people should contemplate and discuss the truth, and fight against falsehood [Aquinas]
2. Reason / D. Definition / 2. Aims of Definition
10528 Definitions concern how we should speak, not how things are [Fine,K]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
10529 If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K]
10530 Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
10190 From the axiomatic point of view, mathematics is a storehouse of abstract structures [Bourbaki]
17. Mind and Body / A. Mind-Body Dualism / 4. Occasionalism
20700 Without God's influence every operation would stop, so God causes everything [Aquinas]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
10527 An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]
27. Natural Reality / D. Time / 1. Nature of Time / f. Eternalism
15202 Eternity coexists with passing time, as the centre of a circle coexists with its circumference [Aquinas]