Combining Philosophers

All the ideas for Thales, Euclid and H. Paul Grice

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31 ideas

1. Philosophy / B. History of Ideas / 2. Ancient Thought
1597 Thales was the first western thinker to believe the arché was intelligible [Roochnik on Thales]
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
22140 The greatest philosophers are methodical; it is what makes them great [Grice]
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]
10. Modality / B. Possibility / 8. Conditionals / c. Truth-function conditionals
13856 Conditionals are truth-functional, but we must take care with misleading ones [Grice, by Edgington]
8948 The odd truth table for material conditionals is explained by conversational conventions [Grice, by Fisher]
13767 Conditionals might remain truth-functional, despite inappropriate conversational remarks [Edgington on Grice]
10. Modality / B. Possibility / 8. Conditionals / f. Pragmatics of conditionals
10990 Conditionals are truth-functional, but unassertable in tricky cases? [Grice, by Read]
14277 A person can be justified in believing a proposition, though it is unreasonable to actually say it [Grice, by Edgington]
10. Modality / C. Sources of Modality / 5. Modality from Actuality
3013 Nothing is stronger than necessity, which rules everything [Thales, by Diog. Laertius]
19. Language / A. Nature of Meaning / 3. Meaning as Speaker's Intention
7752 Only the utterer's primary intention is relevant to the meaning [Grice]
7751 Meaning needs an intention to induce a belief, and a recognition that this is the speaker's intention [Grice]
7753 We judge linguistic intentions rather as we judge non-linguistic intentions, so they are alike [Grice]
19. Language / A. Nature of Meaning / 6. Meaning as Use
22330 Grice said patterns of use are often semantically irrelevant, because it is a pragmatic matter [Grice, by Glock]
19. Language / F. Communication / 5. Pragmatics / b. Implicature
18045 Grice's maxim of quality says do not assert what you believe to be false [Grice, by Magidor]
18044 Grice's maxim of manner requires one to be as brief as possible [Grice, by Magidor]
10991 Key conversational maxims are 'quality' (assert truth) and 'quantity' (leave nothing out) [Grice, by Read]
18046 Grice's maxim of quantity says be sufficiently informative [Grice, by Magidor]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / c. Ultimate substances
1494 Thales said water is the first principle, perhaps from observing that food is moist [Thales, by Aristotle]
27. Natural Reality / A. Classical Physics / 1. Mechanics / a. Explaining movement
1713 Thales must have thought soul causes movement, since he thought magnets have soul [Thales, by Aristotle]
29. Religion / A. Polytheistic Religion / 2. Greek Polytheism
1742 Thales said the gods know our wrong thoughts as well as our evil actions [Thales, by Diog. Laertius]