Combining Philosophers

All the ideas for Euclid, Kretzmann/Stump and Peter F. Strawson

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33 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
7920 Descriptive metaphysics aims at actual structure, revisionary metaphysics at a better structure [Strawson,P]
1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
7922 Descriptive metaphysics concerns unchanging core concepts and categories [Strawson,P]
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
7921 Close examination of actual word usage is the only sure way in philosophy [Strawson,P]
2. Reason / E. Argument / 6. Conclusive Proof
8623 Proof reveals the interdependence of truths, as well as showing their certainty [Euclid, by Frege]
3. Truth / C. Correspondence Truth / 2. Correspondence to Facts
10842 The fact which is stated by a true sentence is not something in the world [Strawson,P]
10843 Facts aren't exactly true statements, but they are what those statements say [Strawson,P]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / a. Tarski's truth definition
10844 The statement that it is raining perfectly fits the fact that it is raining [Strawson,P]
3. Truth / F. Semantic Truth / 2. Semantic Truth
10841 The word 'true' always refers to a possible statement [Strawson,P]
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]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
8358 There are no rules for the exact logic of ordinary language, because that doesn't exist [Strawson,P]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / c. Theory of definite descriptions
6413 'The present King of France is bald' presupposes existence, rather than stating it [Strawson,P, by Grayling]
8354 Russell asks when 'The King of France is wise' would be a true assertion [Strawson,P]
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]
9. Objects / A. Existence of Objects / 2. Abstract Objects / b. Need for abstracta
16980 We need a logical use of 'object' as predicate-worthy, and an 'ontological' use [Strawson,P]
9. Objects / D. Essence of Objects / 3. Individual Essences
16979 It makes no sense to ask of some individual thing what it is that makes it that individual [Strawson,P]
14. Science / A. Basis of Science / 2. Demonstration
22110 Demonstration provides depth of understanding and explanation (rather than foundations) [Kretzmann/Stump]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / d. Other minds by analogy
9282 I can only apply consciousness predicates to myself if I can apply them to others [Strawson,P]
16. Persons / B. Nature of the Self / 7. Self and Body / a. Self needs body
9263 A person is an entity to which we can ascribe predicates of consciousness and corporeality [Strawson,P]
19. Language / A. Nature of Meaning / 6. Meaning as Use
8356 The meaning of an expression or sentence is general directions for its use, to refer or to assert [Strawson,P]
19. Language / B. Reference / 3. Direct Reference / c. Social reference
10430 Reference is mainly a social phenomenon [Strawson,P, by Sainsbury]
19. Language / B. Reference / 4. Descriptive Reference / b. Reference by description
10448 If an expression can refer to anything, it may still instrinsically refer, but relative to a context [Bach on Strawson,P]
19. Language / B. Reference / 5. Speaker's Reference
8355 Expressions don't refer; people use expressions to refer [Strawson,P]
8357 If an utterance fails to refer then it is a pseudo-use, though a speaker may think they assert something [Strawson,P]
19. Language / C. Assigning Meanings / 3. Predicates
9281 The idea of a predicate matches a range of things to which it can be applied [Strawson,P]