Combining Texts

All the ideas for 'Philosophical Essay on Probability', 'Knowledge and the Philosophy of Number' and 'Elbow Room: varieties of free will'

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20 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
3798 An overexamined life is as bad as an unexamined one [Dennett]
2. Reason / A. Nature of Reason / 9. Limits of Reason
3801 Rationality requires the assumption that things are either for better or worse [Dennett]
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]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / c. Possible but inconceivable
3802 Why pronounce impossible what you cannot imagine? [Dennett]
13. Knowledge Criteria / C. External Justification / 2. Causal Justification
3795 Causal theories require the "right" sort of link (usually unspecified) [Dennett]
13. Knowledge Criteria / C. External Justification / 7. Testimony
7458 The reliability of witnesses depends on whether they benefit from their observations [Laplace, by Hacking]
16. Persons / A. Concept of a Person / 4. Persons as Agents
3797 I am the sum total of what I directly control [Dennett]
16. Persons / F. Free Will / 1. Nature of Free Will
3800 You can be free even though force would have prevented you doing otherwise [Dennett, by PG]
3803 Can we conceive of a being with a will freer than our own? [Dennett]
16. Persons / F. Free Will / 2. Sources of Free Will
3791 Awareness of thought is a step beyond awareness of the world [Dennett]
3794 Foreknowledge permits control [Dennett]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
3441 If a supreme intellect knew all atoms and movements, it could know all of the past and the future [Laplace]
17. Mind and Body / B. Behaviourism / 3. Intentional Stance
3796 The active self is a fiction created because we are ignorant of our motivations [Dennett]