Combining Texts

All the ideas for 'Realism in Mathematics', 'fragments/reports' and 'Reply to Sixth Objections'

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13 ideas

4. Formal Logic / F. Set Theory ST / 7. Natural Sets
Maddy replaces pure sets with just objects and perceived sets of objects [Maddy, by Shapiro]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
A natural number is a property of sets [Maddy, by Oliver]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
Intuition doesn't support much mathematics, and we should question its reliability [Maddy, by Shapiro]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
We know mind-independent mathematical truths through sets, which rest on experience [Maddy, by Jenkins]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
Two things being joined together doesn't prove they are the same [Descartes]
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 / D. Scepticism / 3. Illusion Scepticism
Only judgement decides which of our senses are reliable [Descartes]
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 / A. Divine Nature / 6. Divine Morality / d. God decrees morality
Ideas in God's mind only have value if he makes it so [Descartes]
28. God / C. Attitudes to God / 5. Atheism
Ethiopian gods have black hair, and Thracian gods have red hair [Xenophanes]
Mortals believe gods are born, and have voices and clothes just like mortals [Xenophanes]