Combining Texts

All the ideas for 'Wisdom', 'Sets and Numbers' and 'Utilitarianism and the Virtues'

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16 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated
The devil was wise as an angel, and lost no knowledge when he rebelled [Whitcomb]
3. Truth / A. Truth Problems / 3. Value of Truth
We should speak the truth, but also preserve and pursue it [Foot]
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 / C. The Good / 1. Goodness / g. Consequentialism
Consequentialists can hurt the innocent in order to prevent further wickedness [Foot]
Why might we think that a state of affairs can be morally good or bad? [Foot]
Good outcomes are not external guides to morality, but a part of virtuous actions [Foot]
The idea of a good state of affairs has no role in the thought of Aristotle, Rawls or Scanlon [Foot]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
Morality is seen as tacit legislation by the community [Foot]
23. Ethics / E. Utilitarianism / 5. Rule Utilitarianism
For consequentialism, it is irrational to follow a rule which in this instance ends badly [Foot]