Combining Texts

All the ideas for 'fragments/reports', 'Sets and Numbers' and 'The Anti-Christ'

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22 ideas

1. Philosophy / B. History of Ideas / 2. Ancient Thought
All intelligent Romans were Epicureans [Nietzsche]
3. Truth / A. Truth Problems / 3. Value of Truth
Truth has had to be fought for, and normal life must be sacrificed to achieve it [Nietzsche]
One must never ask whether truth is useful [Nietzsche]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
The master science is physical objects divided into sets [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set theory (unlike the Peano postulates) can explain why multiplication is commutative [Maddy]
Standardly, numbers are said to be sets, which is neat ontology and epistemology [Maddy]
Numbers are properties of sets, just as lengths are properties of physical objects [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
Sets exist where their elements are, but numbers are more like universals [Maddy]
Number theory doesn't 'reduce' to set theory, because sets have number properties [Maddy]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
If mathematical objects exist, how can we know them, and which objects are they? [Maddy]
6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
Number words are unusual as adjectives; we don't say 'is five', and numbers always come first [Maddy]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
Philosophy grasps the limits of human reason, and values are beyond it [Nietzsche]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / f. Übermensch
Christianity is at war with the higher type of man, and excommunicates his basic instincts [Nietzsche]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / d. Virtue theory critique
Virtues must be highly personal; if not, it is merely respect for a concept [Nietzsche]
23. Ethics / D. Deontological Ethics / 1. Deontology
Each person should devise his own virtues and categorical imperative [Nietzsche]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / G. Biology / 3. Evolution
Archelaus said life began in a primeval slime [Archelaus, by Schofield]
28. God / A. Divine Nature / 4. Divine Contradictions
A God who cures us of a head cold at the right moment is a total absurdity [Nietzsche]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
Christianity is a revolt of things crawling on the ground against elevated things [Nietzsche]
29. Religion / B. Monotheistic Religion / 5. Bible
The story in Genesis is the story of God's fear of science [Nietzsche]
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
'Faith' means not wanting to know what is true [Nietzsche]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
The great lie of immortality destroys rationality and natural instinct [Nietzsche]