Combining Texts

All the ideas for 'Philosophical Explanations', 'The Art of the Infinite' and 'Concluding Unscientific Postscript'

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23 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / d. Philosophy as puzzles
7578 I conceived it my task to create difficulties everywhere [Kierkegaard]
1. Philosophy / D. Nature of Philosophy / 8. Humour
22047 Wherever there is painless contradiction there is also comedy [Kierkegaard]
3. Truth / A. Truth Problems / 2. Defining Truth
22092 Kierkegaard's truth draws on authenticity, fidelity and honesty [Kierkegaard, by Carlisle]
3. Truth / A. Truth Problems / 3. Value of Truth
15999 Pure truth is for infinite beings only; I prefer endless striving for truth [Kierkegaard]
3. Truth / A. Truth Problems / 8. Subjective Truth
20313 The highest truth we can get is uncertainty held fast by an inward passion [Kierkegaard]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
15717 Using Choice, you can cut up a small ball and make an enormous one from the pieces [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
15712 1 and 0, then add for naturals, subtract for negatives, divide for rationals, take roots for irrationals [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
15711 The rationals are everywhere - the irrationals are everywhere else [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
15714 'Commutative' laws say order makes no difference; 'associative' laws say groupings make no difference [Kaplan/Kaplan]
15715 'Distributive' laws say if you add then multiply, or multiply then add, you get the same result [Kaplan/Kaplan]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
3570 Maybe knowledge is belief which 'tracks' the truth [Nozick, by Williams,M]
13. Knowledge Criteria / C. External Justification / 4. Tracking the Facts
2748 A true belief isn't knowledge if it would be believed even if false. It should 'track the truth' [Nozick, by Dancy,J]
14. Science / C. Induction / 3. Limits of Induction
15713 The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan]
16. Persons / B. Nature of the Self / 2. Ethical Self
20742 The real subject is ethical, not cognitive [Kierkegaard]
23. Ethics / F. Existentialism / 1. Existentialism
7579 While big metaphysics is complete without ethics, personal philosophy emphasises ethics [Kierkegaard]
7581 Speculative philosophy loses the individual in a vast vision of humanity [Kierkegaard]
23. Ethics / F. Existentialism / 6. Authentic Self
20314 People want to lose themselves in movements and history, instead of being individuals [Kierkegaard]
7582 Becoming what one is is a huge difficulty, because we strongly aspire to be something else [Kierkegaard]
28. God / A. Divine Nature / 2. Divine Nature
7586 God does not think or exist; God creates, and is eternal [Kierkegaard]
28. God / B. Proving God / 3. Proofs of Evidence / d. Religious Experience
20312 God cannot be demonstrated objectively, because God is a subject, only existing inwardly [Kierkegaard]
28. God / C. Attitudes to God / 2. Pantheism
7580 Pantheism destroys the distinction between good and evil [Kierkegaard]
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
7583 Faith is the highest passion in the sphere of human subjectivity [Kierkegaard]
7584 Without risk there is no faith [Kierkegaard]