9 ideas
2676 | Didactic argument starts from the principles of the subject, not from the opinions of the learner [Aristotle] |
Full Idea: Didactic arguments are those which reason from the principles appropriate to each branch of learning and not from the opinions of the answerer (for he who is learning must take things on trust). | |
From: Aristotle (Sophistical Refutations [c.331 BCE], 165b01) |
2675 | Reasoning is a way of making statements which makes them lead on to other statements [Aristotle] |
Full Idea: Reasoning is based on certain statements made in such a way as necessarily to cause the assertion of things other than those statements and as a result of those statements. | |
From: Aristotle (Sophistical Refutations [c.331 BCE], 165a01) |
2677 | Dialectic aims to start from generally accepted opinions, and lead to a contradiction [Aristotle] |
Full Idea: Dialectical arguments are those which, starting from generally accepted opinions, reason to establish a contradiction. | |
From: Aristotle (Sophistical Refutations [c.331 BCE], 165b03) |
2674 | Competitive argument aims at refutation, fallacy, paradox, solecism or repetition [Aristotle] |
Full Idea: Those who compete and contend in argument aim at five objects: refutation, fallacy, paradox, solecism, and the reduction of one's opponent to a state of babbling, that is, making him say the same thing over and over again. | |
From: Aristotle (Sophistical Refutations [c.331 BCE], 165b15) |
16967 | 'Are Coriscus and Callias at home?' sounds like a single question, but it isn't [Aristotle] |
Full Idea: If you ask 'Are Coriscus and Callias at home or not at home?', whether they are both at home or not there, the number of propositions is more than one. For if the answer is true, it does not follow that the question is a single one. | |
From: Aristotle (Sophistical Refutations [c.331 BCE], 176a08) | |
A reaction: [compressed] Aristotle is saying that some questions should not receive a 'yes' or 'no' answer, because they are equivocal. Arthur Prior cites this passage, on 'and'. Ordinary use of 'and' need not be the logical use of 'and'. |
10190 | From the axiomatic point of view, mathematics is a storehouse of abstract structures [Bourbaki] |
Full Idea: From the axiomatic point of view, mathematics appears as a storehouse of abstract forms - the mathematical structures. | |
From: Nicholas Bourbaki (The Architecture of Mathematics [1950], 221-32), quoted by Fraser MacBride - Review of Chihara's 'Structural Acc of Maths' p.79 | |
A reaction: This seems to be the culmination of the structuralist view that developed from Dedekind and Hilbert, and was further developed by philosophers in the 1990s. |
16463 | Adams says actual things have haecceities, but not things that only might exist [Adams,RM, by Stalnaker] |
Full Idea: Adams favours haecceitism about actual things but no haecceities for things that might exist but don't. | |
From: report of Robert Merrihew Adams (Actualism and Thisness [1981]) by Robert C. Stalnaker - Mere Possibilities 4.2 | |
A reaction: This contrasts with Plantinga, who proposes necessary essences for everything, even for what might exist. Plantinga sounds crazy to me, Adams merely interesting but not too plausible. |
16149 | Generic terms like 'man' are not substances, but qualities, relations, modes or some such thing [Aristotle] |
Full Idea: 'Man', and every generic term, denotes not an individual substance but a quality or relation or mode or something of the kind. | |
From: Aristotle (Sophistical Refutations [c.331 BCE], 179a01) | |
A reaction: This is Aristotle's denial that species constitutes the essence of anything. I take 'man' to be a categorisation of individuals, and is ontologically nothing at all in its own right. |
11840 | Only if two things are identical do they have the same attributes [Aristotle] |
Full Idea: It is only to things which are indistinguishable and one in essence [ousia] that all the same attributes are generally held to belong. | |
From: Aristotle (Sophistical Refutations [c.331 BCE], 179a37) | |
A reaction: This simply IS Leibniz's Law (to which I shall from now on quietly refer to as 'Aristotle's Law'). It seems that it just as plausible to translate 'ousia' as 'being' rather than 'essence'. 'Indistinguishable' and 'one in ousia' are not the same. |