Combining Texts

All the ideas for 'Commentary on 'De Anima'', 'Knowledge and the Philosophy of Number' and 'Letters to Queen Charlotte'

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14 ideas

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
23623 Predicativism says only predicated sets exist [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
23624 The iterative conception has to appropriate Replacement, to justify the ordinals [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
23625 Limitation of Size justifies Replacement, but then has to appropriate Power Set [Hossack]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / d. and
23628 The connective 'and' can have an order-sensitive meaning, as 'and then' [Hossack]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
23627 'Before' and 'after' are not two relations, but one relation with two orders [Hossack]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / h. Ordinal infinity
23626 Transfinite ordinals are needed in proof theory, and for recursive functions and computability [Hossack]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
23026 We know mathematical axioms, such as subtracting equals from equals leaves equals, by a natural light [Leibniz]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
23621 Numbers are properties, not sets (because numbers are magnitudes) [Hossack]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
23622 We can only mentally construct potential infinities, but maths needs actual infinities [Hossack]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
13189 A necessary feature (such as air for humans) is not therefore part of the essence [Leibniz]
10. Modality / D. Knowledge of Modality / 1. A Priori Necessary
19432 Intelligible truth is independent of any external things or experiences [Leibniz]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
19430 We know objects by perceptions, but their qualities don't reveal what it is we are perceiving [Leibniz]
12. Knowledge Sources / D. Empiricism / 1. Empiricism
19431 There is nothing in the understanding but experiences, plus the understanding itself, and the understander [Leibniz]
22. Metaethics / B. Value / 2. Values / e. Death
16764 The soul conserves the body, as we see by its dissolution when the soul leaves [Toletus]