display all the ideas for this combination of texts
12 ideas
1575 | For Aristotle logos is essentially the ability to talk rationally about questions of value [Roochnik on Aristotle] |
Full Idea: For Aristotle logos is the ability to speak rationally about, with the hope of attaining knowledge, questions of value. | |
From: comment on Aristotle (works [c.330 BCE]) by David Roochnik - The Tragedy of Reason p.26 |
16841 | Good inference has mechanism, precision, scope, simplicity, fertility and background fit [Lipton] |
Full Idea: Among the inferential virtues commonly cited are mechanism, precision, scope, simplicity, fertility or fruitfulness, and fit with background beliefs. | |
From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 08 'the guiding') | |
A reaction: [He cites Hempel, Kuhn, Quine, and Newton-Smith] I take the over-arching term 'coherence' to cover much of this, though a bolder hypothesis offers more than mere coherence. |
1589 | Aristotle is the supreme optimist about the ability of logos to explain nature [Roochnik on Aristotle] |
Full Idea: Aristotle is the great theoretician who articulates a vision of a world in which natural and stable structures can be rationally discovered. His is the most optimistic and richest view of the possibilities of logos | |
From: comment on Aristotle (works [c.330 BCE]) by David Roochnik - The Tragedy of Reason p.95 |
16854 | Contrary pairs entail contradictions; one member entails negation of the other [Lipton] |
Full Idea: All pairs of contraries entail a pair of contradictories, since one member of such a pair always entails the negation of the other. P&Q and not-P are contraries, but the first entails P, which is contradictory of not-P. | |
From: Peter Lipton (Inference to the Best Explanation (2nd) [2004], 09 'Is the best') |
9959 | 'Real' definitions give the essential properties of things under a concept [Mautner] |
Full Idea: A 'real definition' (as opposed to a linguistic one) is a statement which gives the essential properties of the things to which a given concept applies. | |
From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], 'definition') | |
A reaction: This is often seen as old-fashioned, Aristotelian, and impossible to achieve, but I like it and aspire to it. One can hardly be precise about which properties are 'essential' to something, but there are clear cases. Your 'gold' had better not be brass. |
8200 | Aristotelian definitions aim to give the essential properties of the thing defined [Aristotle, by Quine] |
Full Idea: A real definition, according to the Aristotelian tradition, gives the essence of the kind of thing defined. Man is defined as a rational animal, and thus rationality and animality are of the essence of each of us. | |
From: report of Aristotle (works [c.330 BCE]) by Willard Quine - Vagaries of Definition p.51 | |
A reaction: Compare Idea 4385. Personally I prefer the Aristotelian approach, but we may have to say 'We cannot identify the essence of x, and so x cannot be defined'. Compare 'his mood was hard to define' with 'his mood was hostile'. |
4385 | Aristotelian definition involves first stating the genus, then the differentia of the thing [Aristotle, by Urmson] |
Full Idea: For Aristotle, to give a definition one must first state the genus and then the differentia of the kind of thing to be defined. | |
From: report of Aristotle (works [c.330 BCE]) by J.O. Urmson - Aristotle's Doctrine of the Mean p.157 | |
A reaction: Presumably a modern definition would just be a list of properties, but Aristotle seeks the substance. How does he define a genus? - by placing it in a further genus? |
9961 | 'Contextual definitions' replace whole statements, not just expressions [Mautner] |
Full Idea: Usually in a definition the definiens (definition) can replace the definiendum (expression defined), but in a 'contextual definition' only the whole statement containing the definiens can replace the whole statement containing the definiendum. | |
From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], 'definition') | |
A reaction: These definitions are crucial to Frege's enterprise in the 'Grundlagen'. Logicians always want to achieve definition with a single neat operation, but in ordinary language we talk around a definition, giving a variety of possibilities (as in teaching). |
9958 | Recursive definition defines each instance from a previous instance [Mautner] |
Full Idea: An example of a recursive definition is 'y is an ancestor of x' is defined as 'y is a parent of x, or y is a parent of an ancestor of x'. | |
From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], 'definition') | |
A reaction: From this example I guess that 'ancestor' means 'friend'. Or have I misunderstood? I think we need to define 'grand-parent' as well, and then offer the definition of 'ancestor' with the words 'and so on...'. Essentially, it is mathematical induction. |
9960 | A stipulative definition lays down that an expression is to have a certain meaning [Mautner] |
Full Idea: A stipulative definition lays down that a given linguistic expression is to have a certain meaning; this is why they cannot be said to be correct or incorrect. | |
From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], 'definition') | |
A reaction: These are uncontroversial when they are explicitly made in writing by a single person. The tricky case is where they are implicitly made in conversation by a community. After a century or two these look like facts, their origin having been lost. |
9957 | Ostensive definitions point to an object which an expression denotes [Mautner] |
Full Idea: Ostensive definitions explain what an expression means by pointing to an object, action, event, etc. denoted by the expression. | |
From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], 'definition') | |
A reaction: These will need some context. If I define 'red' simply by pointing to a red square, you might conclude that 'red' means square. If I point to five varied red objects, you have to do the work of spotting the common ingredient. I can't mention 'colour'. |
6219 | The fallacy of composition is the assumption that what is true of the parts is true of the whole [Mautner] |
Full Idea: The fallacy of composition is an inference relying on the invalid principle that whatever is true of every part is also true of the whole; thus, we cannot assume that because the members of a committee are rational, that the committee as a whole is. | |
From: Thomas Mautner (Penguin Dictionary of Philosophy [1996], p.102) | |
A reaction: This is a very common and very significant fallacy, which is perpetrated by major philosophers like Aristotle (Idea 31), unlike most of the other informal fallacies. |