3 ideas
21570 | Numbers are just verbal conveniences, which can be analysed away [Russell] |
Full Idea: Numbers are nothing but a verbal convenience, and disappear when the propositions that seem to contain them are fully written out. | |
From: Bertrand Russell (Is Mathematics purely Linguistic? [1952], p.301) | |
A reaction: This is the culmination of the process which began with his 1905 theory of definite descriptions. The intervening step was Wittgenstein's purely formal account of the logical connectives. |
1556 | By nature people are close to one another, but culture drives them apart [Hippias] |
Full Idea: I regard you all as relatives - by nature, not by convention. By nature like is akin to like, but convention is a tyrant over humankind and often constrains people to act contrary to nature. | |
From: Hippias (fragments/reports [c.430 BCE]), quoted by Plato - Protagoras 337c8 |
7319 | If we give up synonymy, we have to give up significance, meaning and sense [Grice/Strawson] |
Full Idea: If we are to give up the notion of sentence-synonymy as senseless, we must give up the notion of sentence-significance (of a sentence having meaning) as senseless too. But then perhaps we might as well give up the notion of sense. | |
From: P Grice / P Strawson (In Defense of a Dogma [1956]), quoted by Alexander Miller - Philosophy of Language 4.2 | |
A reaction: This is very prescient. Nearly all American philosophers seem to embrace Quine's view of analyticity (the philosophical equivalent of Americans putting a man on the moon?), but have they digested the implications (which Quine later largely admits)? |