Combining Texts

All the ideas for 'Against Coherence', 'Knowledge and the Philosophy of Number' and 'Inessential Aristotle: Powers without Essences'

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20 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]
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
15148 Powers give explanations, without being necessary for some class membership [Chakravartty]
9. Objects / D. Essence of Objects / 5. Essence as Kind
15145 A kind essence is the necessary and sufficient properties for membership of a class [Chakravartty]
9. Objects / D. Essence of Objects / 15. Against Essentialism
15147 Cluster kinds are explained simply by sharing some properties, not by an 'essence' [Chakravartty]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
21515 Incoherence may be more important for enquiry than coherence [Olsson]
21514 Coherence is the capacity to answer objections [Olsson]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / c. Coherentism critique
21496 Mere agreement of testimonies is not enough to make truth very likely [Olsson]
21499 Coherence is only needed if the information sources are not fully reliable [Olsson]
21502 A purely coherent theory cannot be true of the world without some contact with the world [Olsson]
21512 Extending a system makes it less probable, so extending coherence can't make it more probable [Olsson]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
15144 Explanation of causal phenomena concerns essential kinds - but also lack of them [Chakravartty]
26. Natural Theory / B. Natural Kinds / 4. Source of Kinds
15146 Some kinds, such as electrons, have essences, but 'cluster kinds' do not [Chakravartty]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
15151 Many causal laws do not refer to kinds, but only to properties [Chakravartty]