Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'Must We Believe in Set Theory?' and 'The Myth of Sisyphus'

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25 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated
9247 Life will be lived better if it has no meaning [Camus]
1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
6707 Suicide - whether life is worth living - is the one serious philosophical problem [Camus]
1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
9245 To an absurd mind reason is useless, and there is nothing beyond reason [Camus]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
10482 The logic of ZF is classical first-order predicate logic with identity [Boolos]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
10492 A few axioms of set theory 'force themselves on us', but most of them don't [Boolos]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
10485 Naïve sets are inconsistent: there is no set for things that do not belong to themselves [Boolos]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
10484 The iterative conception says sets are formed at stages; some are 'earlier', and must be formed first [Boolos]
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
9244 Logic is easy, but what about logic to the point of death? [Camus]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
17447 Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
10491 Infinite natural numbers is as obvious as infinite sentences in English [Boolos]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities
10483 Mathematics and science do not require very high orders of infinity [Boolos]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
10490 Mathematics isn't surprising, given that we experience many objects as abstract [Boolos]
8. Modes of Existence / D. Universals / 1. Universals
10488 It is lunacy to think we only see ink-marks, and not word-types [Boolos]
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
10487 I am a fan of abstract objects, and confident of their existence [Boolos]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
10489 We deal with abstract objects all the time: software, poems, mistakes, triangles.. [Boolos]
16. Persons / F. Free Will / 1. Nature of Free Will
9249 Whether we are free is uninteresting; we can only experience our freedom [Camus]
16. Persons / F. Free Will / 6. Determinism / b. Fate
9253 The human heart has a tiresome tendency to label as fate only what crushes it [Camus]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
9250 Discussing ethics is pointless; moral people behave badly, and integrity doesn't need rules [Camus]
22. Metaethics / B. Value / 2. Values / g. Love
9252 The more one loves the stronger the absurd grows [Camus]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
9251 One can be virtuous through a whim [Camus]
23. Ethics / F. Existentialism / 2. Nihilism
9243 If we believe existence is absurd, this should dictate our conduct [Camus]
6708 Happiness and the absurd go together, each leading to the other [Camus]
23. Ethics / F. Existentialism / 7. Existential Action
9242 Essential problems either risk death, or intensify the passion of life [Camus]
9246 Danger and integrity are not in the leap of faith, but in remaining poised just before the leap [Camus]
25. Social Practice / F. Life Issues / 4. Suicide
9248 It is essential to die unreconciled and not of one's own free will [Camus]