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All the ideas for 'Must We Believe in Set Theory?st1=George Boolos', 'Thus Spake Zarathustra' and 'A Materialist Theory of Mind (Rev)'

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38 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated
But what is the reasoning of the body, that it requires the wisdom you seek? [Nietzsche]
1. Philosophy / D. Nature of Philosophy / 8. Humour
Reject wisdom that lacks laughter [Nietzsche]
3. Truth / A. Truth Problems / 7. Falsehood
To love truth, you must know how to lie [Nietzsche]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
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
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
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
The iterative conception says sets are formed at stages; some are 'earlier', and must be formed first [Boolos]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Infinite natural numbers is as obvious as infinite sentences in English [Boolos]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities
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
Mathematics isn't surprising, given that we experience many objects as abstract [Boolos]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / a. Dispositions
To be realists about dispositions, we can only discuss them through their categorical basis [Armstrong]
8. Modes of Existence / D. Universals / 1. Universals
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
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
We deal with abstract objects all the time: software, poems, mistakes, triangles.. [Boolos]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
Armstrong suggests secondary qualities are blurred primary qualities [Armstrong, by Robinson,H]
16. Persons / B. Nature of the Self / 7. Self and Body / a. Self needs body
The powerful self behind your thoughts and feelings is your body [Nietzsche]
16. Persons / C. Self-Awareness / 1. Introspection
A mental state without belief refutes self-intimation; a belief with no state refutes infallibility [Armstrong, by Shoemaker]
16. Persons / D. Continuity of the Self / 3. Reference of 'I'
Forget the word 'I'; 'I' is performed by the intelligence of your body [Nietzsche]
17. Mind and Body / C. Functionalism / 4. Causal Functionalism
If pains are defined causally, and research shows that the causal role is physical, then pains are physical [Armstrong, by Lycan]
Armstrong and Lewis see functionalism as an identity of the function and its realiser [Armstrong, by Heil]
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
The will is constantly frustrated by the past [Nietzsche]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / d. Biological ethics
We created meanings, to maintain ourselves [Nietzsche]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / f. Übermensch
The noble man wants new virtues; the good man preserves what is old [Nietzsche]
22. Metaethics / B. Value / 2. Values / g. Love
We only really love children and work [Nietzsche]
22. Metaethics / C. The Good / 2. Happiness / c. Value of happiness
I want my work, not happiness! [Nietzsche]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Virtues can destroy one another, through jealousy [Nietzsche]
23. Ethics / C. Virtue Theory / 4. External Goods / c. Wealth
People now find both wealth and poverty too much of a burden [Nietzsche]
23. Ethics / C. Virtue Theory / 4. External Goods / d. Friendship
If you want friends, you must be a fighter [Nietzsche]
23. Ethics / F. Existentialism / 2. Nihilism
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
An enduring people needs its own individual values [Nietzsche]
24. Political Theory / B. Nature of a State / 3. Constitutions
The state coldly claims that it is the people, but that is a lie [Nietzsche]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
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
Whenever we have seen suffering, we have wanted the revenge of punishment [Nietzsche]
25. Social Practice / F. Life Issues / 5. Sexual Morality
Man and woman are deeply strange to one another! [Nietzsche]
28. God / A. Divine Nature / 2. Divine Nature
I can only believe in a God who can dance [Nietzsche]
28. God / C. Attitudes to God / 5. Atheism
Not being a god is insupportable, so there are no gods! [Nietzsche]
29. Religion / D. Religious Issues / 2. Immortality / d. Heaven
Heaven was invented by the sick and the dying [Nietzsche]
We don't want heaven; now that we are men, we want the kingdom of earth [Nietzsche]