24 ideas
19740 | A very hungry man cannot choose between equidistant piles of food [Aristotle] |
Full Idea: The man who, though exceedingly hungry and thirsty, and both equally, yet being equidistant from food and drink, is therefore bound to stay where he is. | |
From: Aristotle (On the Heavens [c.336 BCE], 296b33) | |
A reaction: This is, of course, Buridan's famous Ass, but this quotation has the advantage of precedence, and also of being expressed in an original quotation (which does not exist for Buridan). |
21695 | The set scheme discredited by paradoxes is actually the most natural one [Quine] |
Full Idea: Each proposed revision of set theory is unnatural, because the natural scheme is the unrestricted one that the antinomies discredit. | |
From: Willard Quine (The Ways of Paradox [1961], p.16) | |
A reaction: You can either takes this free-far-all version of set theory, and gradually restrain it for each specific problem, or start from scratch and build up in safe steps. The latter is (I think) the 'iterated' approach. |
21693 | Russell's antinomy challenged the idea that any condition can produce a set [Quine] |
Full Idea: In the case of Russell's antinomy, the tacit and trusted pattern of reasoning that is found wanting is this: for any condition you can formulate, there is a class whose members are the things meeting the condition. | |
From: Willard Quine (The Ways of Paradox [1961], p.11) | |
A reaction: This is why Russell's Paradox is so important for set theory, which in turn makes it important for the foundations of mathematics. |
21691 | Antinomies contradict accepted ways of reasoning, and demand revisions [Quine] |
Full Idea: An 'antinomy' produces a self-contradiction by accepted ways of reasoning. It establishes that some tacit and trusted pattern of reasoning must be made explicit and henceforward be avoided or revised. | |
From: Willard Quine (The Ways of Paradox [1961], p.05) | |
A reaction: Quine treats antinomies as of much greater importance than mere paradoxes. It is often possible to give simple explanations of paradoxes, but antinomies go to the root of our belief system. This was presumably Kant's intended meaning. |
21690 | Whenever the pursuer reaches the spot where the pursuer has been, the pursued has moved on [Quine] |
Full Idea: The Achilles argument is that (if the front runner keeps running) each time the pursuer reaches a spot where the pursuer has been, the pursued has moved a bit beyond. | |
From: Willard Quine (The Ways of Paradox [1961], p.03) | |
A reaction: Quine is always wonderfully lucid, and this is the clearest simple statement of the paradox. |
21689 | A barber shaves only those who do not shave themselves. So does he shave himself? [Quine] |
Full Idea: In a certain village there is a barber, who shaves all and only those men in the village who do not shave themselves. So does the barber shave himself? The barber shaves himself if and only if he does not shave himself. | |
From: Willard Quine (The Ways of Paradox [1961], p.02) | |
A reaction: [Russell himself quoted this version of his paradox, from an unnamed source] Quine treats his as trivial because it only concerns barbers, but the full Russell paradox is a major 'antinomy', because it concerns sets. |
21694 | Membership conditions which involve membership and non-membership are paradoxical [Quine] |
Full Idea: With Russell's antinomy, ...each tie the trouble comes of taking a membership condition that itself talks in turn of membership and non-membership. | |
From: Willard Quine (The Ways of Paradox [1961], p.13) | |
A reaction: Hence various stipulations to rule out vicious circles or referring to sets of the 'wrong type' are invoked to cure the problem. The big question is how strong to make the restrictions. |
21692 | If we write it as '"this sentence is false" is false', there is no paradox [Quine] |
Full Idea: If we supplant the sentence 'this sentence is false' with one saying what it refers to, we get '"this sentence is false" is false'. But then the whole outside sentence attributes falsity no longer to itself but to something else, so there is no paradox. | |
From: Willard Quine (The Ways of Paradox [1961], p.07) | |
A reaction: Quine is pointing us towards type theory and meta-languages to solve the problem. We now have the Revenge Liar, and the problem has not been fully settled. |
7658 | Obviously there can't be a functional anaylsis of qualia if they are defined by intrinsic properties [Dennett] |
Full Idea: If you define qualia as intrinsic properties of experiences considered in isolation from all their causes and effects, logically independent of all dispositional properties, then they are logically guaranteed to elude all broad functional analysis. | |
From: Daniel C. Dennett (Sweet Dreams [2005], Ch.8) | |
A reaction: This is a good point - it seems daft to reify qualia and imagine them dangling in mid-air with all their vibrant qualities - but that is a long way from saying there is nothing more to qualia than functional roles. Functions must be exlained too. |
7655 | The work done by the 'homunculus in the theatre' must be spread amongst non-conscious agencies [Dennett] |
Full Idea: All the work done by the imagined homunculus in the Cartesian Theater must be distributed among various lesser agencies in the brain, none of which is conscious. | |
From: Daniel C. Dennett (Sweet Dreams [2005], Ch.3) | |
A reaction: Dennett's account crucially depends on consciousness being much more fragmentary than most philosophers claim it to be. It is actually full of joints, which can come apart. He may be right. |
7657 | Intelligent agents are composed of nested homunculi, of decreasing intelligence, ending in machines [Dennett] |
Full Idea: As long as your homunculi are more stupid and ignorant than the intelligent agent they compose, the nesting of homunculi within homunculi can be finite, bottoming out, eventually, with agents so unimpressive they can be replaced by machines. | |
From: Daniel C. Dennett (Sweet Dreams [2005], Ch.6) | |
A reaction: [Dennett first proposed this in 'Brainstorms' 1978]. This view was developed well by Lycan. I rate it as one of the most illuminating ideas in the modern philosophy of mind. All complex systems (like aeroplanes) have this structure. |
7656 | I don't deny consciousness; it just isn't what people think it is [Dennett] |
Full Idea: I don't maintain, of course, that human consciousness does not exist; I maintain that it is not what people often think it is. | |
From: Daniel C. Dennett (Sweet Dreams [2005], Ch.3) | |
A reaction: I consider Dennett to be as near as you can get to an eliminativist, but he is not stupid. As far as I can see, the modern philosopher's bogey-man, the true total eliminativist, simply doesn't exist. Eliminativists usually deny propositional attitudes. |
7654 | What matters about neuro-science is the discovery of the functional role of the chemistry [Dennett] |
Full Idea: Neuro-science matters because - and only because - we have discovered that the many different neuromodulators and other chemical messengers that diffuse throughout the brain have functional roles that make important differences. | |
From: Daniel C. Dennett (Sweet Dreams [2005], Ch.1) | |
A reaction: I agree with Dennett that this is the true ground for pessimism about spectacular breakthroughs in artificial intelligence, rather than abstract concerns about irreducible features of the mind like 'qualia' and 'rationality'. |
398 | Each thing that has a function is for the sake of that function [Aristotle] |
Full Idea: Each thing that has a function is for the sake of that function. | |
From: Aristotle (On the Heavens [c.336 BCE], 286a08) | |
A reaction: This is the central idea of Aristotle's Ethics. Did it originate with Plato, or Socrates, the young pupil Aristotle? I suspect the strong influence of Aristotle on later Plato. A major idea. Functions link the facts to life. |
394 | An unworn sandal is in vain, but nothing in nature is in vain [Aristotle] |
Full Idea: We say of a sandal which is not worn that it is in vain; God and nature, however, do nothing in vain. | |
From: Aristotle (On the Heavens [c.336 BCE], 271a33) |
396 | There has to be some goal, and not just movement to infinity [Aristotle] |
Full Idea: There has to be some goal, and not just movement to infinity. | |
From: Aristotle (On the Heavens [c.336 BCE], 277a26) |
16102 | Aether moves in circles and is imperishable; the four elements perish, and move in straight lines [Aristotle, by Gill,ML] |
Full Idea: For Aristotle, aether and the four sublunary elements obey different physical laws. Aether moves naturally in a circle and, unlike its lower counterparts, is not a source of perishability. The four sublunary elements move naturally in straight lines. | |
From: report of Aristotle (On the Heavens [c.336 BCE]) by Mary Louise Gill - Aristotle on Substance Ch.2 | |
A reaction: I think it is anachronistic for Gill to talk of 'obeying' and 'laws'. She should have said that they have different 'natures'. We can be amused by Greek errors, until we stare hard at the problems they were trying to solve. |
17463 | An element is what bodies are analysed into, and won't itself divide into something else [Aristotle] |
Full Idea: An element is a body into which other bodies may be analyzed, present in them potentially or in actuality (which of these is still disputable), and not itself divisible into bodies different in form. That is what all men mean by element. | |
From: Aristotle (On the Heavens [c.336 BCE], 302a05), quoted by Weisberg/Needham/Hendry - Philosophy of Chemistry 1.1 | |
A reaction: This is the classic definition of an element, which endured for a long time, and has been replaced by an 'actual components' view. Obviously analysis nowadays goes well beyond the atoms. |
399 | If the more you raise some earth the faster it moves, why does the whole earth not move? [Aristotle] |
Full Idea: If you raise some earth and release it, it moves and won't stay put, and the more you raise it the faster it moves, so why does the whole earth not move? | |
From: Aristotle (On the Heavens [c.336 BCE], 294a12) |
20918 | Void is a kind of place, so it can't explain place [Aristotle] |
Full Idea: It is absurd to explain place by the void, as though this latter were not itself some kind of place. | |
From: Aristotle (On the Heavens [c.336 BCE], 309b24) | |
A reaction: Presumably this is aimed at Democritus. |
402 | The Earth must be spherical, because it casts a convex shadow on the moon [Aristotle] |
Full Idea: A lunar eclipse always has a convex dividing line, so, if it is eclipsed by the interposition of the earth, the circumference of the earth, being spherical, is responsible for the shape. | |
From: Aristotle (On the Heavens [c.336 BCE], 297b29) |
403 | The earth must be round and of limited size, because moving north or south makes different stars visible [Aristotle] |
Full Idea: Clearly the earth is round and not of great size, because when we move north or south we find that very different stars are visible. | |
From: Aristotle (On the Heavens [c.336 BCE], 297b30) |
1498 | Everyone agrees that the world had a beginning, but thinkers disagree over whether it will end [Aristotle] |
Full Idea: All thinkers agree that the world had a beginning, but some claim that, having come into existence, it is everlasting. | |
From: Aristotle (On the Heavens [c.336 BCE], 279b12) |
395 | It seems possible that there exists a limited number of other worlds apart from this one [Aristotle] |
Full Idea: One might indeed be puzzled whether, just as the world about us exists, nothing prevents there being others as well, certainly more than one, though not an unlimited number | |
From: Aristotle (On the Heavens [c.336 BCE], 274a26) |