8 ideas
22293 | Hilbert said (to block paradoxes) that mathematical existence is entailed by consistency [Hilbert, by Potter] |
Full Idea: Hilbert proposed to circuvent the paradoxes by means of the doctrine (already proposed by Poincaré) that in mathematics consistency entails existence. | |
From: report of David Hilbert (On the Concept of Number [1900], p.183) by Michael Potter - The Rise of Analytic Philosophy 1879-1930 19 'Exist' | |
A reaction: Interesting. Hilbert's idea has struck me as weird, but it makes sense if its main motive is to block the paradoxes. Roughly, the idea is 'it exists if it isn't paradoxical'. A low bar for existence (but then it is only in mathematics!). |
17644 | Metaphysical realism is committed to there being one ultimate true theory [Putnam] |
Full Idea: What makes the metaphysical realist a 'metaphysical' realist is his belief that there is somewhere 'one true theory' (two theories which are true and complete descriptions of the world would be mere notational variants of each other). | |
From: Hilary Putnam (Why there isn't a ready-made world [1981], 'Causation') | |
A reaction: This is wrong!!!!! Commitment to one reality doesn't imply that only one comprehensive theory is possible. Theory-making (at least in any human language, or in mathematics) is an inherently limited activity. |
17648 | It is an illusion to think there could be one good scientific theory of reality [Putnam] |
Full Idea: The idea of a coherent theory of the noumena; consistent, systematic, and arrived at by 'the scientific method' seems to me to be chimerical. | |
From: Hilary Putnam (Why there isn't a ready-made world [1981], 'Failure') | |
A reaction: I sort of agree with this, but it definitely doesn't make me an anti-realist. |
17643 | Shape is essential relative to 'statue', but not essential relative to 'clay' [Putnam] |
Full Idea: Relative to the description 'that statue', a certain shape is an essential property of the object; relative to the description 'that piece of clay', the shape not an essential property (but being clay is). | |
From: Hilary Putnam (Why there isn't a ready-made world [1981], 'Intro') | |
A reaction: Relative to the description 'that loathsome object', is the statue essentially loathsome? Asserting the essence of an object is a response to the object, not a response to a description of it. This is not the solution to the statue problem. |
17642 | The old view that sense data are independent of mind is quite dotty [Putnam] |
Full Idea: Moore and Russell held the strange view that 'sensibilia' (sense data) are mind-independent entities: a view so dotty, on the face of it, that few analytic philosophers like to be reminded that this is how analytic philosophy started. | |
From: Hilary Putnam (Why there isn't a ready-made world [1981], 'Intro') | |
A reaction: I suspect the view was influenced by the anti-psychologism of Frege, and his idea that all the other concepts are mind-independent, living by their own rules in a 'third realm'. Personally I think analytic philosophy needs more psychology, not less. |
13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
Full Idea: In a single day there lies open to men of learning more than there ever does to the unenlightened in the longest of lifetimes. | |
From: Posidonius (fragments/reports [c.95 BCE]), quoted by Seneca the Younger - Letters from a Stoic 078 | |
A reaction: These remarks endorsing the infinite superiority of the educated to the uneducated seem to have been popular in late antiquity. It tends to be the religions which discourage great learning, especially in their emphasis on a single book. |
17645 | An alien might think oxygen was the main cause of a forest fire [Putnam] |
Full Idea: Imagine a Venusian lands on Earth and observes a forest fire, and says 'I know what caused that - the atmosphere is saturated with oxygen!'. Thus one man's 'background condition' can easily be another man's 'cause'. | |
From: Hilary Putnam (Why there isn't a ready-made world [1981], 'Causation') | |
A reaction: You can't sweep 'the' cause of a fire away so easily. There is always oxygen on Earth, but only occasional forest fires. The oxygen doesn't 'trigger' the fire (i.e. it isn't the proximate cause). |
20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |
Full Idea: Posidonius defined time thus: it is an interval of motion, or the measure of speed and slowness. | |
From: report of Posidonius (fragments/reports [c.95 BCE]) by John Stobaeus - Anthology 1.08.42 | |
A reaction: Hm. Can we define motion or speed without alluding to time? Looks like we have to define them as a conjoined pair, which means we cannot fully understand either of them. |