3 ideas
10245 | One geometry cannot be more true than another [Poincaré] |
Full Idea: One geometry cannot be more true than another; it can only be more convenient. | |
From: Henri Poincaré (Science and Method [1908], p.65), quoted by Stewart Shapiro - Philosophy of Mathematics | |
A reaction: This is the culminating view after new geometries were developed by tinkering with Euclid's parallels postulate. |
8825 | It seems impossible to logically deduce physical knowledge from indubitable sense data [Kim] |
Full Idea: It is agreed on all hands that the classical epistemological project, conceived as one of deductively validating physical knowledge from indubitable sensory data, cannot succeed. | |
From: Jaegwon Kim (What is 'naturalized epistemology'? [1988], p.304) | |
A reaction: This is the 'Enlightenment Project', which had a parallel in morality. Kim refers to the difficulty as 'The Humean Predicament'. Hume also hoped that induction might be deductive. One obvious move is to expand from 'deduction' to 'reason'. |
23223 | The word 'respect' ranges from mere non-interference to the highest levels of reverence [Blackburn] |
Full Idea: The word 'respect' seems to span a spectrum from simply not interfering, passing by on the other side, through admiration, right up to reverence and deference. This makes it uniquely well placed for ideological purposes. | |
From: Simon Blackburn (Religion and Respect [2005], p.2) | |
A reaction: Most people understand the world perfectly well, but only when they fully understand the context. I've taken to distinguishing conditional from unconditional forms of respect. Everyone is entitled to the unconditional form, which has limits. |