Combining Texts

All the ideas for 'The Value of Knowledge and the Pursuit of Understanding', 'Knowledge and the Philosophy of Number' and 'Explaining Explanation'

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17 ideas

1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
17082 Paradox: why do you analyse if you know it, and how do you analyse if you don't? [Ruben]
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]
11. Knowledge Aims / A. Knowledge / 2. Understanding
19261 Understanding is seeing coherent relationships in the relevant information [Kvanvig]
14. Science / A. Basis of Science / 4. Prediction
17087 The 'symmetry thesis' says explanation and prediction only differ pragmatically [Ruben]
14. Science / D. Explanation / 1. Explanation / a. Explanation
17081 Usually explanations just involve giving information, with no reference to the act of explanation [Ruben]
14. Science / D. Explanation / 1. Explanation / c. Direction of explanation
17092 An explanation needs the world to have an appropriate structure [Ruben]
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
17090 Most explanations are just sentences, not arguments [Ruben]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
17094 The causal theory of explanation neglects determinations which are not causal [Ruben]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
17088 Reducing one science to another is often said to be the perfect explanation [Ruben]
14. Science / D. Explanation / 4. Explanation Doubts / a. Explanation as pragmatic
17089 Facts explain facts, but only if they are conceptualised or named appropriately [Ruben]