Combining Texts

All the ideas for 'Realism in Mathematics', 'Intro to 'Rationality in Greek Thought'' and 'works'

expand these ideas     |    start again     |     specify just one area for these texts

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6 ideas

2. Reason / A. Nature of Reason / 1. On Reason

23249

The early philosophers thought that reason has its own needs and desires [Frede,M]

4. Formal Logic / F. Set Theory ST / 7. Natural Sets

8755	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

10718

A natural number is a property of sets [Maddy, by Oliver]

6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics

8756	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

17733

We know mind-independent mathematical truths through sets, which rest on experience [Maddy, by Jenkins]

24. Political Theory / D. Ideologies / 8. Socialism

23137

Liberty without socialism is injustice; socialism without liberty is brutality [Bakunin]