18 ideas
6859 | Analytic philosophy has much higher standards of thinking than continental philosophy [Williamson] |
Full Idea: Certain advances in philosophical standards have been made within analytic philosophy, and there would be a serious loss of integrity involved in abandoning them in the way required to participate in current continental philosophy. | |
From: Timothy Williamson (Interview with Baggini and Stangroom [2001], p.151) | |
A reaction: The reply might be to concede the point, but say that the precision and rigour achieved are precisely what debar analytical philosophy from thinking about the really interesting problems. One might as well switch to maths and have done with it. |
6862 | Fuzzy logic uses a continuum of truth, but it implies contradictions [Williamson] |
Full Idea: Fuzzy logic is based on a continuum of degrees of truth, but it is committed to the idea that it is half-true that one identical twin is tall and the other twin is not, even though they are the same height. | |
From: Timothy Williamson (Interview with Baggini and Stangroom [2001], p.154) | |
A reaction: Maybe to be shocked by a contradiction is missing the point of fuzzy logic? Half full is the same as half empty. The logic does not say the twins are different, because it is half-true that they are both tall, and half-true that they both aren't. |
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. |
6858 | Formal logic struck me as exactly the language I wanted to think in [Williamson] |
Full Idea: As soon as I started learning formal logic, that struck me as exactly the language that I wanted to think in. | |
From: Timothy Williamson (Interview with Baggini and Stangroom [2001]) | |
A reaction: It takes all sorts… It is interesting that formal logic might be seen as having the capacity to live up to such an aspiration. I don't think the dream of an ideal formal language is dead, though it will never encompass all of reality. Poetic truth. |
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. |
6863 | Close to conceptual boundaries judgement is too unreliable to give knowledge [Williamson] |
Full Idea: If one is very close to a conceptual boundary, then one's judgement will be too unreliable to constitute knowledge, and therefore one will be ignorant. | |
From: Timothy Williamson (Interview with Baggini and Stangroom [2001], p.156) | |
A reaction: This is the epistemological rather than ontological interpretation of vagueness. It sounds very persuasive, but I am reluctant to accept that reality is full of very precise boundaries which we cannot quite discriminate. |
6861 | What sort of logic is needed for vague concepts, and what sort of concept of truth? [Williamson] |
Full Idea: The problem of vagueness is the problem of what logic is correct for vague concepts, and correspondingly what notions of truth and falsity are applicable to vague statements (does one need a continuum of degrees of truth, for example?). | |
From: Timothy Williamson (Interview with Baggini and Stangroom [2001], p.153) | |
A reaction: This certainly makes vagueness sound like one of the most interesting problems in all of philosophy, though also one of the most difficult. Williamson's solution is that we may be vague, but the world isn't. |
6860 | How can one discriminate yellow from red, but not the colours in between? [Williamson] |
Full Idea: If one takes a spectrum of colours from yellow to red, it might be that given a series of colour samples along that spectrum, each sample is indiscriminable by the naked eye from the next one, though samples at either end are blatantly different. | |
From: Timothy Williamson (Interview with Baggini and Stangroom [2001], p.151) | |
A reaction: This seems like a nice variant of the Sorites paradox (Idea 6008). One could demonstrate it with just three samples, where A and C seemed different from each other, but other comparisons didn't. |
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'. |