9 ideas
8203 | All the arithmetical entities can be reduced to classes of integers, and hence to sets [Quine] |
Full Idea: The arithmetic of ratios and irrational and imaginary numbers can all be reduced by definition to the theory of classes of positive integers, and this can in turn be reduced to pure set theory. | |
From: Willard Quine (Vagaries of Definition [1972], p.53) | |
A reaction: This summarises Quine's ontology of mathematics, which tries to eliminate virtually everything, but has to affirm the existence of sets. Can you count sets and their members, if the sets are used to define the numbers? |
3296 | Sense-data are a false objectification of what is essentially subjective [Nagel] |
Full Idea: The private object or sense datum view is an instance of the false objectification of what is essentially subjective. | |
From: Thomas Nagel (Subjective and Objective [1979], p.207) |
3295 | Inner v outer brings astonishment that we are a particular person [Nagel] |
Full Idea: The problem of reconciling the objective and subjective points of view takes its purest form in a sense of incredulity that one should be anyone in particular. | |
From: Thomas Nagel (Subjective and Objective [1979], p.206) | |
A reaction: Nice observation. This idea has always struck me forcibly, and seems to be one of those basic intuitions which motivates philosophy, and yet the subject has almost nothing to say about it. Of course you are you, or you wouldn't be amazed by it… |
3293 | If you assert that we have an ego, you can still ask if that future ego will be me [Nagel] |
Full Idea: The metaphysical ego, if it is a continuing individual with its identity over time, is just one more thing about which the same problem can be raised - will that ego still be me? | |
From: Thomas Nagel (Subjective and Objective [1979], p.200) | |
A reaction: You can worry too much about some philosophical questions. If it is me now, and it has continuing individual identity over time, I'm not going to lose sleep over the possibility that it might nevertheless somehow cease to be me. I'm overrated. |
3292 | The most difficult problem of free will is saying what the problem is [Nagel] |
Full Idea: The most difficult problem of free will is saying what the problem is. | |
From: Thomas Nagel (Subjective and Objective [1979], p.198) |
8202 | Meaning is essence divorced from things and wedded to words [Quine] |
Full Idea: Meaning is essence divorced from the thing and wedded to the word. | |
From: Willard Quine (Vagaries of Definition [1972], p.51) | |
A reaction: Quine's strategy is that a demolition of essences will be a definition of meaning. Personally I would like to defend essences, though I admit to finding meaning tricky. That is because essences are external, but meanings are in minds. |
8201 | The distinction between meaning and further information is as vague as the essence/accident distinction [Quine] |
Full Idea: The distinction between what belongs to the meaning of a word and what counts as further information is scarcely clearer than the distinction between the essence of a thing and its accidents. | |
From: Willard Quine (Vagaries of Definition [1972], p.51) | |
A reaction: In lots of cases the distinction between essence and accident strikes me as totally clear. Tricky borderline cases don't destroy a distinction. That bachelors are married is clearly not 'further information'. |
7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
Full Idea: The six perfections are of giving, morality, patience, vigour, meditation, and wisdom. | |
From: Nagarjuna (Mahaprajnaparamitashastra [c.120], 88) | |
A reaction: What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate'). |
3294 | As far as possible we should become instruments to realise what is best from an eternal point of view [Nagel] |
Full Idea: The right thing to do is to turn oneself as far as possible into an instrument for the realisation of what is best 'sub specie aeternitatis'. | |
From: Thomas Nagel (Subjective and Objective [1979], p.204) |