Combining Texts

All the ideas for 'fragments/reports', 'On Nature Itself (De Ipsa Natura)' and 'Knowledge and the Philosophy of Number'

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19 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 / 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]
7. Existence / A. Nature of Existence / 3. Being / d. Non-being
18933 Not-Being obviously doesn't exist, and the five modes of Being are all impossible [Gorgias, by Diog. Laertius]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
12756 Substance is a force for acting and being acted upon [Leibniz]
14. Science / D. Explanation / 2. Types of Explanation / h. Explanations by function
12755 Final causes can help with explanations in physics [Leibniz]
17. Mind and Body / A. Mind-Body Dualism / 3. Panpsychism
12760 Something rather like souls (though not intelligent) could be found everywhere [Leibniz]
19. Language / F. Communication / 1. Rhetoric
9866 Gorgias says rhetoric is the best of arts, because it enslaves without using force [Gorgias, by Plato]
5864 Destroy seriousness with laughter, and laughter with seriousness [Gorgias]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism
12759 There are atoms of substance, but no atoms of bulk or extension [Leibniz]
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / a. Early Modern matter
12718 Secondary matter is active and complete; primary matter is passive and incomplete [Leibniz]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
11854 If there is some trace of God in things, that would explain their natural force [Leibniz]
27. Natural Reality / A. Classical Physics / 1. Mechanics / c. Forces
12758 It is plausible to think substances contain the same immanent force seen in our free will [Leibniz]
28. God / C. Attitudes to God / 2. Pantheism
19408 To say that nature or the one universal substance is God is a pernicious doctrine [Leibniz]