7 ideas
21563 | The 'no classes' theory says the propositions just refer to the members [Russell] |
Full Idea: The contention of the 'no classes' theory is that all significant propositions concerning classes can be regarded as propositions about all or some of their members. | |
From: Bertrand Russell (On 'Insolubilia' and their solution [1906], p.200) | |
A reaction: Apparently this theory has not found favour with later generations of theorists. I see it in terms of Russell trying to get ontology down to the minimum, in the spirit of Goodman and Quine. |
21565 | Richard's puzzle uses the notion of 'definition' - but that cannot be defined [Russell] |
Full Idea: In Richard's puzzle, we use the notion of 'definition', and this, oddly enough, is not definable, and is indeed not a definite notion at all. | |
From: Bertrand Russell (On 'Insolubilia' and their solution [1906], p.209) | |
A reaction: The background for this claim is his type theory, which renders certain forms of circular reference meaningless. |
21564 | Vicious Circle: what involves ALL must not be one of those ALL [Russell] |
Full Idea: The 'vicious-circle principle' says 'whatever involves an apparent variable must not be among the possible values of that variable', or (less exactly) 'whatever involves ALL must not be one of ALL which it involves. | |
From: Bertrand Russell (On 'Insolubilia' and their solution [1906], p.204) | |
A reaction: He offers this as a parallel to his 'no classes' principle. That referred to classes, but this refers to propositions, and specifically the Liar Paradox (which he calls the 'Epimenedes'). |
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? |
13550 | To be always happy is to lack knowledge of one half of nature [Seneca] |
Full Idea: To be always happy and to pass through life without any mental distress is to lack knowledge of one half of nature. | |
From: Seneca the Younger (On Providence [c.60], §4) | |
A reaction: These kind of paradoxes plague virtue theory, and any theory which aims at an ideal. Heaven, for example, seems to have no problems to solve, which spells boredom. The fascination of corrupt people is their superior knowledge of the world. |
13549 | Nothing bad can happen to a good man [Seneca] |
Full Idea: Nothing bad can happen to a good man. | |
From: Seneca the Younger (On Providence [c.60], §2) | |
A reaction: This is a pithy summary of a well know ancient attitude - one that is rejected by Aristotle, but defended by Socrates. It depends what you mean by 'bad' - but that is a rather modern response. |
13548 | The ocean changes in volume in proportion to the attraction of the moon [Seneca] |
Full Idea: The waves increase by degrees, approaching to the hour and day proportionately larger or smaller in volume as they are attracted by the star we call the moon, whose power controls the ocean's surge. | |
From: Seneca the Younger (On Providence [c.60], §1) | |
A reaction: ....just in case anyone thought that Isaac Newton had invented gravity. |