Combining Texts

All the ideas for 'fragments/reports', 'Thus Spake Zarathustra' and 'Set Theory and Its Philosophy'

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38 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated
18290 But what is the reasoning of the body, that it requires the wisdom you seek? [Nietzsche]
1. Philosophy / D. Nature of Philosophy / 8. Humour
18303 Reject wisdom that lacks laughter [Nietzsche]
3. Truth / A. Truth Problems / 7. Falsehood
18305 To love truth, you must know how to lie [Nietzsche]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
10702 Set theory's three roles: taming the infinite, subject-matter of mathematics, and modes of reasoning [Potter]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
10713 Usually the only reason given for accepting the empty set is convenience [Potter]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
13044 Infinity: There is at least one limit level [Potter]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
10708 Nowadays we derive our conception of collections from the dependence between them [Potter]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
13546 The 'limitation of size' principles say whether properties collectivise depends on the number of objects [Potter]
4. Formal Logic / G. Formal Mereology / 1. Mereology
10707 Mereology elides the distinction between the cards in a pack and the suits [Potter]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
10704 We can formalize second-order formation rules, but not inference rules [Potter]
5. Theory of Logic / H. Proof Systems / 3. Proof from Assumptions
10703 Supposing axioms (rather than accepting them) give truths, but they are conditional [Potter]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
10712 If set theory didn't found mathematics, it is still needed to count infinite sets [Potter]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
17882 It is remarkable that all natural number arithmetic derives from just the Peano Axioms [Potter]
8. Modes of Existence / A. Relations / 4. Formal Relations / a. Types of relation
13043 A relation is a set consisting entirely of ordered pairs [Potter]
9. Objects / B. Unity of Objects / 2. Substance / b. Need for substance
13042 If dependence is well-founded, with no infinite backward chains, this implies substances [Potter]
9. Objects / C. Structure of Objects / 8. Parts of Objects / b. Sums of parts
13041 Collections have fixed members, but fusions can be carved in innumerable ways [Potter]
10. Modality / A. Necessity / 1. Types of Modality
10709 Priority is a modality, arising from collections and members [Potter]
16. Persons / B. Nature of the Self / 7. Self and Body / a. Self needs body
20757 The powerful self behind your thoughts and feelings is your body [Nietzsche]
16. Persons / D. Continuity of the Self / 3. Reference of 'I'
18289 Forget the word 'I'; 'I' is performed by the intelligence of your body [Nietzsche]
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
18299 The will is constantly frustrated by the past [Nietzsche]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / d. Biological ethics
18297 We created meanings, to maintain ourselves [Nietzsche]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / f. Übermensch
18293 The noble man wants new virtues; the good man preserves what is old [Nietzsche]
22. Metaethics / B. Value / 2. Values / g. Love
18301 We only really love children and work [Nietzsche]
22. Metaethics / C. The Good / 2. Happiness / c. Value of happiness
18307 I want my work, not happiness! [Nietzsche]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
467 A virtue is a combination of intelligence, strength and luck [Ion]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
18291 Virtues can destroy one another, through jealousy [Nietzsche]
23. Ethics / C. Virtue Theory / 4. External Goods / c. Wealth
18287 People now find both wealth and poverty too much of a burden [Nietzsche]
23. Ethics / C. Virtue Theory / 4. External Goods / d. Friendship
18295 If you want friends, you must be a fighter [Nietzsche]
23. Ethics / F. Existentialism / 2. Nihilism
18286 The greatest experience possible is contempt for your own happiness, reason and virtue [Nietzsche]
24. Political Theory / A. Basis of a State / 1. A People / c. A unified people
18296 An enduring people needs its own individual values [Nietzsche]
24. Political Theory / B. Nature of a State / 3. Constitutions
18294 The state coldly claims that it is the people, but that is a lie [Nietzsche]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
18304 Saints want to live as they desire, or not to live at all [Nietzsche]
25. Social Practice / D. Justice / 3. Punishment / b. Retribution for crime
18300 Whenever we have seen suffering, we have wanted the revenge of punishment [Nietzsche]
25. Social Practice / F. Life Issues / 5. Sexual Morality
18302 Man and woman are deeply strange to one another! [Nietzsche]
28. God / A. Divine Nature / 2. Divine Nature
18292 I can only believe in a God who can dance [Nietzsche]
28. God / C. Attitudes to God / 5. Atheism
18298 Not being a god is insupportable, so there are no gods! [Nietzsche]
29. Religion / D. Religious Issues / 2. Immortality / d. Heaven
18288 Heaven was invented by the sick and the dying [Nietzsche]
18306 We don't want heaven; now that we are men, we want the kingdom of earth [Nietzsche]