4 ideas
4298 | All items of possible human knowledge are interconnected, and can be reached by inference [Descartes] |
Full Idea: All the items of knowledge that lie within the reach of the human mind are linked together with a marvellous bond, and can be derived from each other by necessary inferences. | |
From: René Descartes (unfinished dialogue [1649]) | |
A reaction: It does seem that God ought to be able to infer all empirical facts from first principles. But how do you get started? |
22329 | Logic is highly general truths abstracted from reality [Russell, by Glock] |
Full Idea: In 1911 Russell held that the propositions of logic are supremely general truths about the most pervasive traits of reality, to which we have access by abstraction from non-logical propositions. | |
From: report of Bertrand Russell (Philosophical Implications of Mathematical logic [1911]) by Hans-Johann Glock - What is Analytic Philosophy? 2.4 | |
A reaction: Glock says the rival views were Mill's inductions, psychologism, and Frege's platonism. Wittgenstein converted Russell to a fifth view, that logic is empty tautologies. I remain resolutely attached to Russell's abstraction view. |
490 | Everything happens by reason and necessity [Leucippus] |
Full Idea: Nothing happens at random; everything happens out of reason and by necessity. | |
From: Leucippus (fragments/reports [c.435 BCE], B002), quoted by (who?) - where? |
21569 | It is good to generalise truths as much as possible [Russell] |
Full Idea: It is a good thing to generalise any truth as much as possible. | |
From: Bertrand Russell (Philosophical Implications of Mathematical logic [1911], p.289) | |
A reaction: An interesting claim, which seems to have a similar status to Ockham's Razor. Its best justification is pragmatic, and concerns strategies for coping with a big messy world. Russell's defence is in 'as much as possible'. |