Combining Texts

All the ideas for 'The Philosophy of Logic', 'fragments/reports' and 'Zettel'

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12 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
A philosopher is outside any community of ideas [Wittgenstein]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
'This sentence is false' sends us in a looping search for its proposition [Wittgenstein, by Fogelin]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
Very large sets should be studied in an 'if-then' spirit [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
Indispensability strongly supports predicative sets, and somewhat supports impredicative sets [Putnam]
We must quantify over numbers for science; but that commits us to their existence [Putnam]
13. Knowledge Criteria / C. External Justification / 2. Causal Justification
Causes of beliefs are irrelevant to their contents [Wittgenstein]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
If we succeed in speaking the truth, we cannot know we have done it [Xenophanes]
13. Knowledge Criteria / E. Relativism / 1. Relativism
If God had not created honey, men would say figs are sweeter [Xenophanes]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / e. The One
The basic Eleatic belief was that all things are one [Xenophanes, by Plato]
28. God / A. Divine Nature / 2. Divine Nature
Xenophanes said the essence of God was spherical and utterly inhuman [Xenophanes, by Diog. Laertius]
28. God / C. Attitudes to God / 5. Atheism
Mortals believe gods are born, and have voices and clothes just like mortals [Xenophanes]
Ethiopian gods have black hair, and Thracian gods have red hair [Xenophanes]