Combining Philosophers

All the ideas for Hermarchus, G.E.M. Anscombe and Euclid

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24 ideas

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]
15. Nature of Minds / B. Features of Minds / 5. Qualia / b. Qualia and intentionality
7439 The qualities involved in sensations are entirely intentional [Anscombe, by Armstrong]
16. Persons / F. Free Will / 3. Constraints on the will
8353 Freedom involves acting according to an idea [Anscombe]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
8352 To believe in determinism, one must believe in a system which determines events [Anscombe]
20. Action / B. Preliminaries of Action / 1. Intention to Act / a. Nature of intentions
20041 Intentional actions are those which are explained by giving the reason for so acting [Anscombe]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
8070 It would be better to point to failings of character, than to moral wrongness of actions [Anscombe]
23. Ethics / D. Deontological Ethics / 1. Deontology
8065 'Ought' and 'right' are survivals from earlier ethics, and should be jettisoned [Anscombe]
8069 Between Aristotle and us, a Judaeo-Christian legal conception of ethics was developed [Anscombe]
25. Social Practice / F. Life Issues / 6. Animal Rights
6005 Animals are dangerous and nourishing, and can't form contracts of justice [Hermarchus, by Sedley]
26. Natural Theory / C. Causation / 5. Direction of causation
8351 With diseases we easily trace a cause from an effect, but we cannot predict effects [Anscombe]
26. Natural Theory / C. Causation / 6. Causation as primitive
4777 The word 'cause' is an abstraction from a group of causal terms in a language (scrape, push..) [Anscombe]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
10363 Causation is relative to how we describe the primary relata [Anscombe, by Schaffer,J]
26. Natural Theory / C. Causation / 8. Particular Causation / c. Conditions of causation
8350 Since Mill causation has usually been explained by necessary and sufficient conditions [Anscombe]