Combining Texts

All the ideas for 'Realism in Mathematics', 'The Structure of Paradoxes of Self-Reference' and 'Ethics of the Concern for Self as Freedom'

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

20 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
7426 Critical philosophy is what questions domination at every level [Foucault]
1. Philosophy / H. Continental Philosophy / 1. Continental Philosophy
7423 Philosophy and politics are fundamentally linked [Foucault]
2. Reason / A. Nature of Reason / 2. Logos
7420 When logos controls our desires, we have actually become the logos [Foucault]
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]
5. Theory of Logic / L. Paradox / 1. Paradox
13373 Typically, paradoxes are dealt with by dividing them into two groups, but the division is wrong [Priest,G]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / b. König's paradox
13368 The 'least indefinable ordinal' is defined by that very phrase [Priest,G]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / c. Berry's paradox
13370 'x is a natural number definable in less than 19 words' leads to contradiction [Priest,G]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / d. Richard's paradox
13369 By diagonalization we can define a real number that isn't in the definable set of reals [Priest,G]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / c. Burali-Forti's paradox
13366 The least ordinal greater than the set of all ordinals is both one of them and not one of them [Priest,G]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / e. Mirimanoff's paradox
13367 The next set up in the hierarchy of sets seems to be both a member and not a member of it [Priest,G]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
13371 If you know that a sentence is not one of the known sentences, you know its truth [Priest,G]
13372 There are Liar Pairs, and Liar Chains, which fit the same pattern as the basic Liar [Priest,G]
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]
13. Knowledge Criteria / E. Relativism / 1. Relativism
7424 Saying games of truth were merely power relations would be a horrible exaggeration [Foucault]
16. Persons / E. Rejecting the Self / 2. Self as Social Construct
7422 A subject is a form which can change, in (say) political or sexual situations [Foucault]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / b. Defining ethics
7419 Ethics is the conscious practice of freedom [Foucault]
24. Political Theory / C. Ruling a State / 1. Social Power
7425 The aim is not to eliminate power relations, but to reduce domination [Foucault]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
7418 The idea of liberation suggests there is a human nature which has been repressed [Foucault]