Combining Texts

All the ideas for 'The Definition of Good', 'Elements of Geometry' and 'Ethics of the Concern for Self as Freedom'

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21 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]
2. Reason / E. Argument / 6. Conclusive Proof
8623 Proof reveals the interdependence of truths, as well as showing their certainty [Euclid, by Frege]
4. Formal Logic / C. Predicate Calculus PC / 2. Tools of Predicate Calculus / c. Derivations rules of PC
13907 If you pick an arbitrary triangle, things proved of it are true of all triangles [Euclid, by Lemmon]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
6297 Euclid's geometry is synthetic, but Descartes produced an analytic version of it [Euclid, by Resnik]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
9603 An assumption that there is a largest prime leads to a contradiction [Euclid, by Brown,JR]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / m. One
9894 A unit is that according to which each existing thing is said to be one [Euclid]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
8738 Postulate 2 says a line can be extended continuously [Euclid, by Shapiro]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
22278 Euclid relied on obvious properties in diagrams, as well as on his axioms [Potter on Euclid]
8673 Euclid's parallel postulate defines unique non-intersecting parallel lines [Euclid, by Friend]
10250 Euclid needs a principle of continuity, saying some lines must intersect [Shapiro on Euclid]
10302 Euclid says we can 'join' two points, but Hilbert says the straight line 'exists' [Euclid, by Bernays]
14157 Modern geometries only accept various parts of the Euclid propositions [Russell on Euclid]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
1600 Euclid's common notions or axioms are what we must have if we are to learn anything at all [Euclid, by Roochnik]
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]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / c. Particularism
18671 The ground for an attitude is not a thing's 'goodness', but its concrete characteristics [Ewing]
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]