37 ideas
| 2956 | There is nothing so obvious that a philosopher cannot be found to deny it [Lockwood] |
| Full Idea: There is nothing so obvious that a philosopher cannot be found to deny it. | |
| From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.73) | |
| A reaction: [Idea of Varro] Just as unreliable witnesses are the bane of a murder enquiry, so bad philosophers throw a cloud of obscurity roundphilosophy. If 9999 people thought 2+2=4, but there is always one who thinks something different. |
| 2963 | There may only be necessary and sufficient conditions (and counterfactuals) because we intervene in the world [Lockwood] |
| Full Idea: Perhaps notions of necessary and sufficient conditions, and counterfactual considerations, are in some way grounded in awareness of ourselves as active interveners and experimenters in the world, not passive spectators. | |
| From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.155) |
| 2958 | No one has ever succeeded in producing an acceptable non-trivial analysis of anything [Lockwood] |
| Full Idea: I cannot think of a single philosophically interesting concept that has been successfully and nontrivially analysed to most people's satisfaction. | |
| From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.121) |
| 8623 | Proof reveals the interdependence of truths, as well as showing their certainty [Euclid, by Frege] |
| Full Idea: Euclid gives proofs of many things which anyone would concede to him without question. ...The aim of proof is not merely to place the truth of a proposition beyond doubt, but also to afford us insight into the dependence of truths upon one another. | |
| From: report of Euclid (Elements of Geometry [c.290 BCE]) by Gottlob Frege - Grundlagen der Arithmetik (Foundations) §02 | |
| A reaction: This connects nicely with Shoemaker's view of analysis (Idea 8559), which I will adopt as my general view. I've always thought of philosophy as the aspiration to wisdom through the cartography of concepts. |
| 2959 | If something is described in two different ways, is that two facts, or one fact presented in two ways? [Lockwood] |
| Full Idea: Do the statements 'Sir Percy Blakeney is in Paris' and 'The Scarlet Pimpernel is in Paris' express different facts, or the same fact under different modes of presentation? | |
| From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.129) |
| 13907 | If you pick an arbitrary triangle, things proved of it are true of all triangles [Euclid, by Lemmon] |
| Full Idea: Euclid begins proofs about all triangles with 'let ABC be a triangle', but ABC is not a proper name. It names an arbitrarily selected triangle, and if that has a property, then we can conclude that all triangles have the property. | |
| From: report of Euclid (Elements of Geometry [c.290 BCE]) by E.J. Lemmon - Beginning Logic 3.2 | |
| A reaction: Lemmon adds the proviso that there must be no hidden assumptions about the triangle we have selected. You must generalise the properties too. Pick a triangle, any triangle, say one with three angles of 60 degrees; now generalise from it. |
| 6297 | Euclid's geometry is synthetic, but Descartes produced an analytic version of it [Euclid, by Resnik] |
| Full Idea: Euclid's geometry is a synthetic geometry; Descartes supplied an analytic version of Euclid's geometry, and we now have analytic versions of the early non-Euclidean geometries. | |
| From: report of Euclid (Elements of Geometry [c.290 BCE]) by Michael D. Resnik - Maths as a Science of Patterns One.4 | |
| A reaction: I take it that the original Euclidean axioms were observations about the nature of space, but Descartes turned them into a set of pure interlocking definitions which could still function if space ceased to exist. |
| 9603 | An assumption that there is a largest prime leads to a contradiction [Euclid, by Brown,JR] |
| Full Idea: Assume a largest prime, then multiply the primes together and add one. The new number isn't prime, because we assumed a largest prime; but it can't be divided by a prime, because the remainder is one. So only a larger prime could divide it. Contradiction. | |
| From: report of Euclid (Elements of Geometry [c.290 BCE]) by James Robert Brown - Philosophy of Mathematics Ch.1 | |
| A reaction: Not only a very elegant mathematical argument, but a model for how much modern logic proceeds, by assuming that the proposition is false, and then deducing a contradiction from it. |
| 9894 | A unit is that according to which each existing thing is said to be one [Euclid] |
| Full Idea: A unit is that according to which each existing thing is said to be one. | |
| From: Euclid (Elements of Geometry [c.290 BCE], 7 Def 1) | |
| A reaction: See Frege's 'Grundlagen' §29-44 for a sustained critique of this. Frege is good, but there must be something right about the Euclid idea. If I count stone, paper and scissors as three, each must first qualify to be counted as one. Psychology creeps in. |
| 8738 | Postulate 2 says a line can be extended continuously [Euclid, by Shapiro] |
| Full Idea: Euclid's Postulate 2 says the geometer can 'produce a finite straight line continuously in a straight line'. | |
| From: report of Euclid (Elements of Geometry [c.290 BCE]) by Stewart Shapiro - Thinking About Mathematics 4.2 | |
| A reaction: The point being that this takes infinity for granted, especially if you start counting how many points there are on the line. The Einstein idea that it might eventually come round and hit you on the back of the head would have charmed Euclid. |
| 22278 | Euclid relied on obvious properties in diagrams, as well as on his axioms [Potter on Euclid] |
| Full Idea: Euclid's axioms were insufficient to derive all the theorems of geometry: at various points in his proofs he appealed to properties that are obvious from the diagrams but do not follow from the stated axioms. | |
| From: comment on Euclid (Elements of Geometry [c.290 BCE]) by Michael Potter - The Rise of Analytic Philosophy 1879-1930 03 'aim' | |
| A reaction: I suppose if the axioms of a system are based on self-evidence, this would licence an appeal to self-evidence elsewhere in the system. Only pedants insist on writing down what is obvious to everyone! |
| 8673 | Euclid's parallel postulate defines unique non-intersecting parallel lines [Euclid, by Friend] |
| Full Idea: Euclid's fifth 'parallel' postulate says if there is an infinite straight line and a point, then there is only one straight line through the point which won't intersect the first line. This axiom is independent of Euclid's first four (agreed) axioms. | |
| From: report of Euclid (Elements of Geometry [c.290 BCE]) by Michèle Friend - Introducing the Philosophy of Mathematics 2.2 | |
| A reaction: This postulate was challenged in the nineteenth century, which was a major landmark in the development of modern relativist views of knowledge. |
| 10250 | Euclid needs a principle of continuity, saying some lines must intersect [Shapiro on Euclid] |
| Full Idea: Euclid gives no principle of continuity, which would sanction an inference that if a line goes from the outside of a circle to the inside of circle, then it must intersect the circle at some point. | |
| From: comment on Euclid (Elements of Geometry [c.290 BCE]) by Stewart Shapiro - Philosophy of Mathematics 6.1 n2 | |
| A reaction: Cantor and Dedekind began to contemplate discontinuous lines. |
| 10302 | Euclid says we can 'join' two points, but Hilbert says the straight line 'exists' [Euclid, by Bernays] |
| Full Idea: Euclid postulates: One can join two points by a straight line; Hilbert states the axiom: Given any two points, there exists a straight line on which both are situated. | |
| From: report of Euclid (Elements of Geometry [c.290 BCE]) by Paul Bernays - On Platonism in Mathematics p.259 |
| 14157 | Modern geometries only accept various parts of the Euclid propositions [Russell on Euclid] |
| Full Idea: In descriptive geometry the first 26 propositions of Euclid hold. In projective geometry the 1st, 7th, 16th and 17th require modification (as a straight line is not a closed series). Those after 26 depend on the postulate of parallels, so aren't assumed. | |
| From: comment on Euclid (Elements of Geometry [c.290 BCE]) by Bertrand Russell - The Principles of Mathematics §388 |
| 1600 | Euclid's common notions or axioms are what we must have if we are to learn anything at all [Euclid, by Roochnik] |
| Full Idea: The best known example of Euclid's 'common notions' is "If equals are subtracted from equals the remainders are equal". These can be called axioms, and are what "the man who is to learn anything whatever must have". | |
| From: report of Euclid (Elements of Geometry [c.290 BCE], 72a17) by David Roochnik - The Tragedy of Reason p.149 |
| 2969 | How does a direct realist distinguish a building from Buckingham Palace? [Lockwood] |
| Full Idea: It is one thing to see a building, and another to see it as a building, and yet another to see it as Buckingham Palace. How does the commonsense realist think that this is accomplished? | |
| From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.302) |
| 2970 | Dogs seem to have beliefs, and beliefs require concepts [Lockwood] |
| Full Idea: Dogs surely have beliefs, and beliefs call for some concepts or other. | |
| From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.312) |
| 2961 | Empiricism is a theory of meaning as well as of knowledge [Lockwood] |
| Full Idea: Empiricism is not just a theory of knowledge; it is also a theory meaning. | |
| From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.149) |
| 2960 | Commonsense realism must account for the similarity of genuine perceptions and known illusions [Lockwood] |
| Full Idea: Commonsense realism has to account for the subjective similarity of the genuine perception of a green surface and the experience of, say, an after-image. | |
| From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.142) |
| 2952 | A 1988 estimate gave the brain 3 x 10-to-the-14 synaptic junctions [Lockwood] |
| Full Idea: It is estimated by Gierer (1988) that the human cerebral cortex alone contains about 300,000,000,000,000 synaptic junctions. | |
| From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.46) | |
| A reaction: As we grasp the vastness of this number, and the fact that the junctions are all active, the idea that a brain does something astonishing is not quite so surprising. |
| 2964 | How come unconscious states also cause behaviour? [Lockwood] |
| Full Idea: Anyone who thinks phenomenal qualities are inseparable from our awareness of them, must think subconscious mental states are totally devoid of phenomenal qualities! So how can these states cause behaviour in the way conscious states do? | |
| From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.166) | |
| A reaction: I agree with this thought, though it is beautifully unprovable. We would need to respond to a red traffic light, without having consciously registered its presence. It is is just increasingly clear that we register information pre-consciously. |
| 2951 | Could there be unconscious beliefs and desires? [Lockwood] |
| Full Idea: I cannot make intuitive sense of there existing a being who possessed genuine beliefs and desires, but who, or which, lacked the capacity for consciousness altogether. | |
| From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.44) | |
| A reaction: This is part of the recent move (which strikes me as correct) to see qualia and intentionality as inseparable. We might well, though, need to adopt the 'intentional stance' to a sophisticated robot. But am I aware of all of my beliefs? |
| 2953 | Fish may operate by blindsight [Lockwood] |
| Full Idea: If one asks 'what does the world look like to a fish?' the answer may be 'it doesn't look like anything; fish find their way about by blindsight.' | |
| From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.56) | |
| A reaction: This strikes me as a real possibility, not just a wild speculation. It seems pretty obvious to me that I operate by blindsight in many aspects of my behaviour. Piano-playing would be impossible if all qualia had to be processed. |
| 2967 | We might even learn some fundamental physics from introspection [Lockwood] |
| Full Idea: I am suggesting that introspective psychology might have a contribution to make to fundamental physics. | |
| From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.176) | |
| A reaction: I'm a fan of introspection, as a source of genuine information. |
| 2966 | Can phenomenal qualities exist unsensed? [Lockwood] |
| Full Idea: Halting the slide into panpsychism is the major advantage of holding that phenomenal qualities can exist unsensed. | |
| From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.170) | |
| A reaction: Presumably unsensed phenomenal qualities would explain the discovery that we seem to make decisions before we are conscious of what we intend to do. That result certainly implied that consciousness had no real function. |
| 2955 | If mental events occur in time, then relativity says they are in space [Lockwood] |
| Full Idea: If we assume that mental events are located in time, then it follows immediately, given special relativity, that they are also in space. | |
| From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.73) | |
| A reaction: A powerful point. Of course, there might (you never know) be something which exists in time but not space (and thoughts clearly exist in time), but (as in Hume's argument against miracles), dualism will overthrow your other basic beliefs about nature. |
| 2950 | Only logical positivists ever believed behaviourism [Lockwood] |
| Full Idea: Philosophical behaviourism is an absurd theory. Practically the only philosophers who ever held it, at any rate in its crude form, were certain logical positivists. | |
| From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.25) | |
| A reaction: I presume Lockwood's target here is eliminativist behaviourism, as opposed to methodological behaviourism (which is a reasonable practice to adopt), and 'black box' behaviourism (which has been superseded by functionalism). |
| 2954 | Identity theory likes the identity of lightning and electrical discharges [Lockwood] |
| Full Idea: A favourite example of identity theorists is the identification of flashes of lightning with electrical discharges. | |
| From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.71) | |
| A reaction: Personally I prefer the analogy of the mind being like a waterfall - a non-mysterious physical process which has dramatic properties of its own. If minds must keep busy in order to be minds, they must be processes. |
| 16362 | An identity statement aims at getting the hearer to merge two mental files [Lockwood] |
| Full Idea: The purpose of an identity statement is to get the hearer to merge these files or bodies of information into one. | |
| From: Michael Lockwood (Identity and Reference [1971], p.209), quoted by François Recanati - Mental Files 4.1 | |
| A reaction: Lockwood is a pioneer, in seeing 'Hesperus is Phosphorus' and 'Scott is the author of 'Waverley'' in terms of how the mind works. Mental files seem to me to explain a huge amount. Recanati proposes 'linking' rather than 'merging'. |
| 2971 | Perhaps logical positivism showed that there is no dividing line between science and metaphysics [Lockwood] |
| Full Idea: If the logical positivists established anything it is that there is no way of demarcating science from metaphysics. | |
| From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.313) | |
| A reaction: So many problems arise for philosophers because of the passion for 'demarcating' things. Close study, experiments, statistics and measurements occur in every walk of life. |
| 4054 | I may exist before I become a person, just as I exist before I become an adult [Lockwood] |
| Full Idea: It makes perfectly good sense to say that I existed before I became a person, just as I existed before I became an adult, or a philosopher. | |
| From: Michael Lockwood (When Does a Life Begin? [1985], p.13) | |
| A reaction: The word 'I' needs thought here. I was once a non-adult, but was I ever a non-person? 'Person' is not a clear concept, despite what many philosophers since Locke may think. |
| 4056 | If the soul is held to leave the body at brain-death, it should arrive at the time of brain-creation [Lockwood] |
| Full Idea: Any Christian who feels that body and soul go their separate ways at brain death ought in consistency to hold that they come together only at the point when whatever is destroyed at brain death first came into being. | |
| From: Michael Lockwood (When Does a Life Begin? [1985], p.24) | |
| A reaction: Hence Christians probably focus less on brain-death than do doctors and the rest of us. |
| 4055 | It isn't obviously wicked to destroy a potential human being (e.g. an ununited egg and sperm) [Lockwood] |
| Full Idea: A week-old embryo without a brain may be a potential human being, but so are a sperm and an ovum that are about to meet in a dish, and it wouldn't be wicked to keep those apart. | |
| From: Michael Lockwood (When Does a Life Begin? [1985], p.19) | |
| A reaction: Sounds fine, but it may be a slippery slope. Is it acceptable to deny a place at music school to a potentially great musician? |
| 2962 | Maybe causation is a form of rational explanation, not an observation or a state of mind [Lockwood] |
| Full Idea: It is tempting to see the concept of causation as a product of reason rather than of perception or introspection; something that reason brings to bear on the data of sense, by way of imposing an explanatory order on them. | |
| From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.154) |
| 2949 | We have the confused idea that time is a process of change [Lockwood] |
| Full Idea: Somehow we have got it into our heads that time itself is a process of change. | |
| From: Michael Lockwood (Mind, Brain and the Quantum [1989], p.12) |
| 1558 | Clearly the gods ignore human affairs, or they would have given us justice [Thrasymachus] |
| Full Idea: The gods pay no attention to human affairs; if they did, they would not have ignored justice, which is the greatest good for men; for we see that men do not act with justice. | |
| From: Thrasymachus (fragments/reports [c.426 BCE], B8), quoted by Hermias - Notes on Plato's 'Phaedrus' 239.22 |