8 ideas
| 11257 | The Pythagoreans were the first to offer definitions [Politis, by Politis] |
| Full Idea: Aristotle praises the Pythagoreans for being the first to offer definitions. | |
| From: report of Vassilis Politis (Aristotle and the Metaphysics [2004]) by Vassilis Politis - Aristotle and the Metaphysics 2.4 | |
| A reaction: This sounds like a hugely important step in the development of Greek philosophy which is hardly ever mentioned. |
| 11235 | 'True of' is applicable to things, while 'true' is applicable to words [Politis] |
| Full Idea: It is crucial not to confuse 'true' with 'true of'. 'True of' is applicable to things, while 'true' is applicable to words. | |
| From: Vassilis Politis (Aristotle and the Metaphysics [2004], 1.4) | |
| A reaction: A beautifully simple distinction which had never occurred to me, and which (being a thoroughgoing realist) I really like. |
| 21597 | Logical connectives have the highest precision, yet are infected by the vagueness of true and false [Russell, by Williamson] |
| Full Idea: Russell says the best chance of avoiding vagueness are the logical connectives. ...But the vagueness of 'true' and 'false' infects the logical connectives too. All words are vague. Russell concludes that all language is vague. | |
| From: report of Bertrand Russell (Vagueness [1923]) by Timothy Williamson - Vagueness 2.4 | |
| A reaction: This relies on the logical connectives being defined semantically, in terms of T and F, but that is standard. Presumably the formal uninterpreted syntax is not vague. |
| 11277 | Maybe 'What is being? is confusing because we can't ask what non-being is like [Politis] |
| Full Idea: We may be unfamiliar with the question 'What is being?' because there appear to be no contrastive questions of the form: how do beings differ from things that are not beings? | |
| From: Vassilis Politis (Aristotle and the Metaphysics [2004], 4.1) | |
| A reaction: We can, of course, contrast actual beings with possible beings, or imaginary beings, or even logically impossible beings, but in those cases 'being' strikes me as an entirely inappropriate word. |
| 9051 | Since natural language is not precise it cannot be in the province of logic [Russell, by Keefe/Smith] |
| Full Idea: Russell takes it that logic assumes precision, and since natural language is not precise it cannot be in the province of logic at all. | |
| From: report of Bertrand Russell (Vagueness [1923]) by R Keefe / P Smith - Intro: Theories of Vagueness §1 | |
| A reaction: I find this view congenial. It seems to me that the necessary prelude to logic is to do everything you can to eliminate ambiguity and vagueness from the sentences at issue. We want the proposition, or logical form. If there isn't one, forget it? |
| 9054 | Vagueness is only a characteristic of representations, such as language [Russell] |
| Full Idea: Vagueness and precision alike are characteristics which can only belong to a representation, of which language is an example. | |
| From: Bertrand Russell (Vagueness [1923], p.62) | |
| A reaction: Russell was the first to tackle the question of vagueness, and he may have got it right. If we are unable to decide which set an object belongs in (red or orange) that is a problem for our conceptual/linguistic scheme. The object still has a colour! |
| 11248 | Necessary truths can be two-way relational, where essential truths are one-way or intrinsic [Politis] |
| Full Idea: An essence is true in virtue of what the thing is in itself, but a necessary truth may be relational, as the consequence of the relation between two things and their essence. The necessary relation may be two-way, but the essential relation one-way. | |
| From: Vassilis Politis (Aristotle and the Metaphysics [2004], 2.3) | |
| A reaction: He is writing about Aristotle, but has in mind Kit Fine 1994 (qv). Politis cites Plato's answer to the Euthyphro Question as a good example. The necessity comes from the intrinsic nature of goodness/piety, not from the desire of the gods. |
| 468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
| Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice. | |
| From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where? |