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24 ideas
1667 | Premises must be true, primitive and immediate, and prior to and explanatory of conclusions [Aristotle] |
Full Idea: Demonstrative understanding must proceed from items which are true and primitive and immediate and more familiar and prior to and explanatory of the conclusions. | |
From: Aristotle (Posterior Analytics [c.327 BCE], 71b22) |
24068 | Demonstration is more than entailment, as the explanatory order must match the causal order [Aristotle, by Koslicki] |
Full Idea: Aristotle's demonstration encompasses more than deductive entailment, in that the explanatory order of priority represented in a successful demonstration must mirror precisely the causal order of priority in the phenomena in question. | |
From: report of Aristotle (Posterior Analytics [c.327 BCE]) by Kathrin Koslicki - Form, Matter and Substance 4.5 | |
A reaction: Interesting. I presume this is correct, but is not an aspect I had registered. In Metaphysics his essentialist explanations are causal, so it all hangs together. |
17310 | Aristotle gets asymmetric consequence from demonstration, which reflects real causal priority [Aristotle, by Koslicki] |
Full Idea: In Aristotle's system, the relevant notion of asymmetric consequence that is operative in his model of scientific explanation is that of demonstration. ...It is a theoretical/linguistic reflection of an asymmetric real-world relation of causal priority. | |
From: report of Aristotle (Posterior Analytics [c.327 BCE]) by Kathrin Koslicki - Varieties of Ontological Dependence 7.3 n7 | |
A reaction: The asymmetry is required for explanation, and for grounding. |
21359 | Aristotle doesn't actually apply his theory of demonstration to his practical science [Leroi on Aristotle] |
Full Idea: There is a conflict between the syllogistic theory of demonstration of the Posterior Analytics, with its austere programme of certainties, and how Aristotle actually does science. | |
From: comment on Aristotle (Posterior Analytics [c.327 BCE]) by Armand Marie LeRoi - The Lagoon: how Aristotle invented science 104 | |
A reaction: Leroi observes that there are no demonstrations anywhere in the biological writings. Biology probably lends itself least to such an approach. |
12365 | We can know by demonstration, which is a scientific deduction leading to understanding [Aristotle] |
Full Idea: We know things through demonstration, by which I mean a scientific deduction, and by 'scientific' I mean a deduction by possessing which we understand something. | |
From: Aristotle (Posterior Analytics [c.327 BCE], 71b17) | |
A reaction: This is a distinctively Aristotelian account of what science aims at, and which seems to have dropped out of modern accounts of science, which are still under the influence of logical positivism. Time to revive it. |
10918 | Demonstrative understanding rests on necessary features of the thing in itself [Aristotle] |
Full Idea: If demonstrative understanding proceeds from necessary principles, and whatever holds of an object in itself is necessary, then it is clear that demonstrative deductions will proceed from certain items of this sort. | |
From: Aristotle (Posterior Analytics [c.327 BCE], 74b05-) | |
A reaction: This is the characterization of the essence of something in terms of what counts as a good explanation of that thing. Although explanation is a bit subjective, I like this approach, because you will dig down to the source of the powers of the thing. |
12374 | Demonstrations must be necessary, and that depends on the middle term [Aristotle] |
Full Idea: If you understand something demonstratively, it must hold from necessity, so it is plain that your demonstration must proceed through a middle term which is necessary. | |
From: Aristotle (Posterior Analytics [c.327 BCE], 75a13) | |
A reaction: How can a middle 'term' be necessary, if it is not a proposition? Presumably Socrates is necessarily a man, and men are necessarily mortal, so it is the predication which is necessary. |
12148 | Demonstrations are syllogisms which give explanations [Aristotle] |
Full Idea: Demonstrations are probative deductions [sullogismos] which give the explanation [aitias] and the reason why. | |
From: Aristotle (Posterior Analytics [c.327 BCE], 85b24) | |
A reaction: This notion seems to have slipped out of modern philosophy of science, because (while scientists have just pressed on) philosophers of science have raised so many sceptical questions that they have, I would say, lost the plot. |
1680 | Demonstration is better with fewer presuppositions, and it is quicker if these are familiar [Aristotle] |
Full Idea: A demonstration is superior if it depends on fewer suppositions or propositions - for if these are familiar, knowledge will come more quickly, and this is preferable. | |
From: Aristotle (Posterior Analytics [c.327 BCE], 86a35) |
12147 | The principles of demonstrations are definitions [Aristotle] |
Full Idea: The principles of demonstrations are definitions. | |
From: Aristotle (Posterior Analytics [c.327 BCE], 90b25) | |
A reaction: This I take to be a key idea linking Aristotle's desire to understand the world, by using demonstrations to reach good explanations. Definitions turn out to rest on essences, so our understanding of the world rests on essences. |
12383 | There must be definitions before demonstration is possible [Aristotle] |
Full Idea: There is no demonstration of anything of which there is no definition. Definitions are of what something is, i.e. of its essence, but all demonstrations clearly suppose and assume what a thing is. | |
From: Aristotle (Posterior Analytics [c.327 BCE], 90b30) | |
A reaction: Note that while essentialism rests on definitions, the job is not yet complete once the definitions are done. With good definitions, it should be easy to show how the pieces of the jigsaw fit together. |
1691 | Aim to get definitions of the primitive components, thus establishing the kind, and work towards the attributes [Aristotle] |
Full Idea: Divide a whole into its primitives, then try to get definitions of these. Thus you establish the kind, and then study the attributes through the primitive common items. | |
From: Aristotle (Posterior Analytics [c.327 BCE], 96b16) |
1674 | All demonstration is concerned with existence, axioms and properties [Aristotle] |
Full Idea: All demonstrative science [apodeiktike episteme] is concerned with three things: what it posits to exist (the kind), the axioms (primitives basic to demonstration), and the attributes. | |
From: Aristotle (Posterior Analytics [c.327 BCE], 76b12) |
1679 | Universal demonstrations are about thought; particular demonstrations lead to perceptions [Aristotle] |
Full Idea: Universal demonstrations are objects of thought, particular demonstrations terminate in perception. | |
From: Aristotle (Posterior Analytics [c.327 BCE], 86a30) |
12371 | A demonstration is a deduction which proceeds from necessities [Aristotle] |
Full Idea: A demonstration is a deduction which proceeds from necessities. | |
From: Aristotle (Posterior Analytics [c.327 BCE], 73a24) | |
A reaction: Elsewhere he tells us that demonstration that brings understanding (Idea 12365), so this is an interesting gloss. He says that the middle term of the syllogism gives the understanding, but necessities reside in the whole propositions of the premisses. |
1683 | We learn universals from many particulars [Aristotle] |
Full Idea: It is from many particulars that the universal becomes plain. Universals are valuable because they make the explanation plain. | |
From: Aristotle (Posterior Analytics [c.327 BCE], 88a05) |
12380 | Universals are valuable because they make the explanations plain [Aristotle] |
Full Idea: Universals are valuable because they make the explanations plain. | |
From: Aristotle (Posterior Analytics [c.327 BCE], 88a06) | |
A reaction: Everything in Aristotle comes back to human capacity to understand. There seems to be an ideal explanation consisting entirely of particulars, but humans are not equipped to grasp it. We think in a broad brush way. |
12367 | What is most universal is furthest away, and the particulars are nearest [Aristotle] |
Full Idea: What is most universal is furthest away, and the particulars are nearest. | |
From: Aristotle (Posterior Analytics [c.327 BCE], 72a05) | |
A reaction: This is the puzzle that bother Aristotle about explanation, that we can only grasp the universals, when we want to explain the particulars. |
12385 | Are particulars explained more by universals, or by other particulars? [Aristotle] |
Full Idea: Which of the middle terms is explanatory for the particulars - the one which is primitive in the direction of the universal, or the one which is primitive in the direction of the particular? | |
From: Aristotle (Posterior Analytics [c.327 BCE], 99b09) | |
A reaction: I'm not clear about this, but it shows Aristotle wrestling with the issue of whether explanations are of particulars or universals, and whether they employ particulars as well as employing universals. The particular must be defined! |
1689 | Explanation is of the status of a thing, inferences to it, initiation of change, and purpose [Aristotle] |
Full Idea: There are four sorts of explanation: what it is to be something, that if certain items hold it is necessary for this to hold, what initiated the change, and the purpose. | |
From: Aristotle (Posterior Analytics [c.327 BCE], 94a21) | |
A reaction: This might be summed up as: 'we want to know the essence, the necessary conditions, the cause, and the purpose'. Can anyone improve on that as the aims of explanation? The second explanation (necessary preconditions) isn't in 'Physics' - Idea 8332. |
1686 | What we seek and understand are facts, reasons, existence, and identity [Aristotle] |
Full Idea: The things we seek are equal in number to those we understand: the fact, the reason why, if something is, and what something is. | |
From: Aristotle (Posterior Analytics [c.327 BCE], 89b24) |
12357 | Explanation and generality are inseparable [Aristotle, by Wedin] |
Full Idea: For Aristotle, explanation and generality are fellow-travellers. | |
From: report of Aristotle (Posterior Analytics [c.327 BCE]) by Michael V. Wedin - Aristotle's Theory of Substance X.11 | |
A reaction: This isn't 'lawlike' explanation, but it is interestingly close to it. It seems to be based on the fact that predicates are universals, so we can only state truths in general terms. |
1669 | The foundation or source is stronger than the thing it causes [Aristotle] |
Full Idea: Something always holds better because of that because of which it holds - e.g. that because of which we love something is better loved. | |
From: Aristotle (Posterior Analytics [c.327 BCE], 72a30) |
1678 | Universals give better explanations, because they are self-explanatory and primitive [Aristotle] |
Full Idea: Universals are more explanatory (for something which holds in itself is itself explanatory of itself; and universals are primitive; hence universals are explanatory) - so universal demonstrations are better. | |
From: Aristotle (Posterior Analytics [c.327 BCE], 85b25) |