50 ideas
19648 | Since Kant we think we can only access 'correlations' between thinking and being [Meillassoux] |
Full Idea: The central notion of philosophy since Kant is 'correlation' - that we only ever have access to the correlation between thinking and being, and never to either term considered apart from the other. | |
From: Quentin Meillassoux (After Finitude; the necessity of contingency [2006], 1) | |
A reaction: Meillassoux's charge is that philosophy has thereby completely failed to grasp the scientific revolution, which has used mathematics to make objectivity possible. Quine and Putnam would be good examples of what he has in mind. |
19674 | The Copernican Revolution decentres the Earth, but also decentres thinking from reality [Meillassoux] |
Full Idea: The Copernican Revolution is not so much the decentring of observers in the solar system, but (by the mathematizing of nature) the decentring of thought relative to the world within the process of knowledge. | |
From: Quentin Meillassoux (After Finitude; the necessity of contingency [2006], 5) | |
A reaction: In other words, I take it, the Copernican Revolution was the discovery of objectivity. That is a very nice addition to my History of Ideas collection. |
19657 | In Kant the thing-in-itself is unknowable, but for us it has become unthinkable [Meillassoux] |
Full Idea: The major shift that has occurred in the conception of thought from Kant's time to ours is from the unknowability of the thing-in-itself to its unthinkability. | |
From: Quentin Meillassoux (After Finitude; the necessity of contingency [2006], 2) | |
A reaction: Meillassoux is making the case that philosophy is alienating us more and more from the triumphant realism of the scientific revolution. He says thinking has split from being. He's right. Modern American pragmatists are the worst (not Peirce!). |
19675 | Since Kant, philosophers have claimed to understand science better than scientists do [Meillassoux] |
Full Idea: Ever since Kant, to think science as a philosopher has been to claim that science harbours a meaning other than the one delivered by science itself. | |
From: Quentin Meillassoux (After Finitude; the necessity of contingency [2006], 5) | |
A reaction: The point is that science discovered objectivity (via the mathematising of nature), and Kant utterly rejected objectivity, by enmeshing the human mind in every possible scientific claim. This makes Meillassoux and I very cross. |
17621 | What matters in mathematics is its objectivity, not the existence of the objects [Dummett] |
Full Idea: As Kreisel has remarked, what is important is not the existence of mathematical objects, but the objectivity of mathematical statements. | |
From: Michael Dummett (Frege Philosophy of Language (2nd ed) [1973], Ch.14) | |
A reaction: [see Maddy 2011:115 for the history of this idea] It seems rather unclear where Frege stands on objectivity. Maddy embraces it, following up this idea, and Tyler Burge's fat book on objectivity. |
19649 | Since Kant, objectivity is defined not by the object, but by the statement's potential universality [Meillassoux] |
Full Idea: Since Kant, objectivity is no longer defined with reference to the object in itself, but rather with reference to the possible universality of an objective statement. | |
From: Quentin Meillassoux (After Finitude; the necessity of contingency [2006], 1) | |
A reaction: Meillassoux disapproves of this, as a betrayal by philosophers of the scientific revolution, which gave us true objectivity (e.g. about how the world was before humanity). |
19666 | If we insist on Sufficient Reason the world will always be a mystery to us [Meillassoux] |
Full Idea: So long as we continue to believe that there is a reason why things are the way they are rather than some other way, we will construe this world is a mystery, since no such reason will every be vouchsafed to us. | |
From: Quentin Meillassoux (After Finitude; the necessity of contingency [2006], 4) | |
A reaction: Giving up sufficient reason sounds like a rather drastic response to this. Put it like this: Will we ever be able to explain absolutely everything? No. So will the world always be a little mysterious to us? Yes, obviously. Is that a problem? No! |
19656 | Non-contradiction is unjustified, so it only reveals a fact about thinking, not about reality? [Meillassoux] |
Full Idea: The principle of non-contradiction itself is without reason, and consequently it can only be the norm for what is thinkable by us, rather than for what is possible in the absolute sense. | |
From: Quentin Meillassoux (After Finitude; the necessity of contingency [2006], 2) | |
A reaction: This is not Meillassoux's view, but describes the modern heresy of 'correlationism', which ties all assessments of how reality is to our capacity to think about it. Personally I take logical non-contradiction to derive from non-contradiction in nature. |
10835 | True sentences says the appropriate descriptive thing on the appropriate demonstrative occasion [Austin,JL] |
Full Idea: A sentence is said to be true when the historic state of affairs to which it is correlated by the demonstrative conventions (the one to which it 'refers') is of a type with which the sentence used in making it is correlated by the descriptive conventions. | |
From: J.L. Austin (Truth [1950], §3) | |
A reaction: This is correspondence by convention rather than correspondence by mapping. Personally I prefer some sort of mapping account, despite all the difficulty and vagueness of specifying what maps onto what. |
10836 | Correspondence theorists shouldn't think that a country has just one accurate map [Austin,JL] |
Full Idea: Correspondence theorists too often talk as one would who held that every map is either accurate or inaccurate; that every country can have but one accurate map. | |
From: J.L. Austin (Truth [1950], n 24) | |
A reaction: A well-made point, for those who intuitively hang on to correspondence as not only good common sense, but also some sort of salvation for a realist view of the world which might give us certainty in epistemology. |
19663 | We can allow contradictions in thought, but not inconsistency [Meillassoux] |
Full Idea: For contemporary logicians, it is not non-contradiction that provides the criterion for what is thinkable, but rather inconsistency. | |
From: Quentin Meillassoux (After Finitude; the necessity of contingency [2006], 3) | |
A reaction: The point is that para-consistent logic might permit isolated contradictions (as true) within a system, but it is only contradiction across the system (inconsistencies) which make the system untenable. |
19664 | Paraconsistent logics are to prevent computers crashing when data conflicts [Meillassoux] |
Full Idea: Paraconsistent logics were only developed in order to prevent computers, such as expert medical systems, from deducing anything whatsoever from contradictory data, because of the principle of 'ex falso quodlibet'. | |
From: Quentin Meillassoux (After Finitude; the necessity of contingency [2006], 3) |
19665 | Paraconsistent logic is about statements, not about contradictions in reality [Meillassoux] |
Full Idea: Paraconsistent logics are only ever dealing with contradictions inherent in statements about the world, never with the real contradictions in the world. | |
From: Quentin Meillassoux (After Finitude; the necessity of contingency [2006], 3) | |
A reaction: Thank goodness for that! I can accept that someone in a doorway is both in the room and not in the room, but not that they are existing in a real state of contradiction. I fear that a few daft people embrace the logic as confirming contradictory reality. |
10537 | The ordered pairs <x,y> can be reduced to the class of sets of the form {{x},{x,y}} [Dummett] |
Full Idea: A classic reduction is the class of ordered pairs <x,y> being reduced to the class of sets of the form {{x},{x,y}}. | |
From: Michael Dummett (Frege Philosophy of Language (2nd ed) [1973], Ch.14) |
10542 | To associate a cardinal with each set, we need the Axiom of Choice to find a representative [Dummett] |
Full Idea: We may suppose that with each set is associated an object as its cardinal number, but we have no systematic way, without appeal to the Axiom of Choice, of selecting a representative set of each cardinality. | |
From: Michael Dummett (Frege Philosophy of Language (2nd ed) [1973], Ch.14) |
19677 | What is mathematically conceivable is absolutely possible [Meillassoux] |
Full Idea: We must establish the thesis that what is mathematically conceivable is absolutely possible. | |
From: Quentin Meillassoux (After Finitude; the necessity of contingency [2006], 5) | |
A reaction: The truth of this thesis would permanently establish mathematics as the only possible language of science. Personally I have no idea how you could prove or assess such a thesis. It is a lovely speculation, though. 'The structure of the possible' (p,127) |
10554 | Intuitionists find the Incompleteness Theorem unsurprising, since proof is intuitive, not formal [Dummett] |
Full Idea: In the intuitionist view, the notion of an intuitive proof cannot be expected to coincide with that of a proof in a formal system, and Gödel's incompleteness theorem is thus unsurprising from an intuitionist point of view. | |
From: Michael Dummett (Frege Philosophy of Language (2nd ed) [1973], Ch.14) |
10552 | Intuitionism says that totality of numbers is only potential, but is still determinate [Dummett] |
Full Idea: From the intuitionist point of view natural numbers are mental constructions, so their totality is only potential, but it is neverthless a fully determinate totality. | |
From: Michael Dummett (Frege Philosophy of Language (2nd ed) [1973], Ch.14) | |
A reaction: This could only be if the means of constructing the numbers was fully determinate, so how does that situation come about? |
19659 | The absolute is the impossibility of there being a necessary existent [Meillassoux] |
Full Idea: We maintain that it is absolutely necessary that every entity might not exist. ...The absolute is the absolute impossibility of a necessary being. | |
From: Quentin Meillassoux (After Finitude; the necessity of contingency [2006], 3) | |
A reaction: This is the main thesis of his book. The usual candidates for necessary existence are God, and mathematical objects. I am inclined to agree with Meillassoux. |
19662 | It is necessarily contingent that there is one thing rather than another - so something must exist [Meillassoux] |
Full Idea: It is necessary that there be something rather than nothing because it is necessarily contingent that there is something rather than something else. | |
From: Quentin Meillassoux (After Finitude; the necessity of contingency [2006], 3) | |
A reaction: The great charm of metaphysics is the array of serious answers to the question of why there is something rather than nothing. You'll need to read Meillassoux's book to understand this one. |
19654 | We must give up the modern criterion of existence, which is a correlation between thought and being [Meillassoux] |
Full Idea: It is incumbent upon us to break with the ontological requisite of the moderns, according to which 'to be is to be a correlate'. | |
From: Quentin Meillassoux (After Finitude; the necessity of contingency [2006], 2) | |
A reaction: He blames Kant for this pernicious idea, which has driven philosophy away from realist science, when it should be supporting and joining it. As a realist I agree, and find Meillassoux very illuminating on the subject. |
10515 | Ostension is possible for concreta; abstracta can only be referred to via other objects [Dummett, by Hale] |
Full Idea: Dummett distinguishes, roughly, between those concrete objects which can be possible objects of ostension, and abstract objects which can only be referred to by functional expressions whose argument is some other object. | |
From: report of Michael Dummett (Frege Philosophy of Language (2nd ed) [1973], Ch.14) by Bob Hale - Abstract Objects Ch.3.II | |
A reaction: At least someone has proposed a theory! Hale gives a nice critical discussion of the proposal. It is a moot point whether in the second case, when you pick out the 'other object', you are thereby able to refer to some new abstract object. |
10544 | The concrete/abstract distinction seems crude: in which category is the Mistral? [Dummett] |
Full Idea: The dichotomy between concrete and abstract objects comes to seem far too crude: to which of the two categories should we assign the Mistral, for instance? | |
From: Michael Dummett (Frege Philosophy of Language (2nd ed) [1973], Ch.14) | |
A reaction: He has previously given colours and points as difficult borderline cases. We can generalise this particular problem case as the question of whether a potentiality or possibility is abstract or concrete. |
10546 | We don't need a sharp concrete/abstract distinction [Dummett] |
Full Idea: There is no reason for wanting a sharp distinction between concrete and abstract objects. | |
From: Michael Dummett (Frege Philosophy of Language (2nd ed) [1973], Ch.14) | |
A reaction: This rather depends on your ontology. If you are happy for reality to be full of weird non-physical entities, then the blurring won't bother you. If the boundary is blurred but still real, it is a very interesting one. |
10540 | We can't say that light is concrete but radio waves abstract [Dummett] |
Full Idea: If abstractions were defined by whether they could affect human sense-organs, light-waves would be concrete but radio waves abstract. | |
From: Michael Dummett (Frege Philosophy of Language (2nd ed) [1973], Ch.14) | |
A reaction: This is a pretty good baseline example. No account should draw an abstract/concrete line through the electromagnetic spectrum. |
10548 | The context principle for names rules out a special philosophical sense for 'existence' [Dummett] |
Full Idea: The dictum that a name has meaning only in the context of a sentence repudiates the conception of a special philosophical sense of 'existence', which claims that numbers do not exist while affirming existential statements about them. | |
From: Michael Dummett (Frege Philosophy of Language (2nd ed) [1973], Ch.14) | |
A reaction: He refers to Frege's Context Principle. Personally I would say you could make plenty of 'affirmations' about arithmetic without them having to be 'existential'. I can say there 'is' a number between 6 and 8, without huge existential claims. |
10281 | The objects we recognise the world as containing depends on the structure of our language [Dummett] |
Full Idea: What objects we recognise the world as containing depends upon the structure of our language. | |
From: Michael Dummett (Frege Philosophy of Language (2nd ed) [1973], Ch.14) | |
A reaction: The background to this claim is the Fregean idea that there are no objects for us if there are no concepts. Dummett is adding that there are no concepts if there is no language. I say animals have concepts and recognise objects. |
10532 | We can understand universals by studying predication [Dummett] |
Full Idea: It is by the study of the character of predication that we shall come to understand the essential nature of universals. | |
From: Michael Dummett (Frege Philosophy of Language (2nd ed) [1973], Ch.14) | |
A reaction: I haven't founded a clearer manifesto for linguistic philosophy than that! Personally I find it highly dubious, given the shifting nature of linguistic forms, and the enormous variation between remote languages. |
10534 | 'Nominalism' used to mean denial of universals, but now means denial of abstract objects [Dummett] |
Full Idea: The original sense of 'nominalism' is the denial of universals, that is the denial of reference to either predicates or to abstract nouns. The modern sense (of Nelson Goodman) is the denial of the existence of abstract objects. | |
From: Michael Dummett (Frege Philosophy of Language (2nd ed) [1973], Ch.14) | |
A reaction: This is why you find loads of modern philosophers vigorous attacking nominalism, only to gradually realise that they don't actually believe in universals, as traditionally understood. It's hard to keep up, when words shift their meaning. |
10541 | Concrete objects such as sounds and smells may not be possible objects of ostension [Dummett] |
Full Idea: We cannot simply distinguish concrete objects as objects of ostension, if it literally involves a pointing gesture, as this would exclude a colourless gas, a sound or a smell. | |
From: Michael Dummett (Frege Philosophy of Language (2nd ed) [1973], Ch.14) | |
A reaction: He shifts to verbal ostension as a result, since we can talk of 'this smell'. On p.491 he suggests that affecting our senses is a sufficient condition to be concrete, but not a necessary one. |
10545 | Abstract objects may not cause changes, but they can be the subject of change [Dummett] |
Full Idea: To say that an abstract object cannot be the cause of change seems plausible enough, but the thesis that it cannot be the subject of change is problematic. The shape of an object can change, or the number of sheep on a hill. | |
From: Michael Dummett (Frege Philosophy of Language (2nd ed) [1973], Ch.14) | |
A reaction: This seems a pretty crucial difficulty for the standard notion of abstracta as non-causal. I would say that it is an acid which could eat away the whole edifice if you thought about it for long enough. He shifts shape-change to the physical object. |
10555 | If we can intuitively apprehend abstract objects, this makes them observable and causally active [Dummett] |
Full Idea: For intuitionists, it ceases to be true that abstract objects are not observable and cannot be involved in causal interaction, since such intuitive apprehension of them may be regarded as just such an interaction. | |
From: Michael Dummett (Frege Philosophy of Language (2nd ed) [1973], Ch.14) | |
A reaction: I would say that since abstract objects can be involved in causal interactions, in the mind, and since the mind is entirely physical (oh yes), this makes abstract objects entirely physical, which may come as a shock to some people. |
10543 | Abstract objects must have names that fall within the range of some functional expression [Dummett] |
Full Idea: For an object to be abstract, we require only that an understanding of any name of that object involves a recognition that the object is in the range of some functional expression. | |
From: Michael Dummett (Frege Philosophy of Language (2nd ed) [1973], Ch.14) | |
A reaction: I'm not sure I understand this, but a function must involve a relation between some objects, such that a unique object is consequently picked out. |
10320 | If a genuine singular term needs a criterion of identity, we must exclude abstract nouns [Dummett, by Hale] |
Full Idea: Dummett's best argument for excluding abstract nouns relies upon the entirely Fregean requirement that with any genuine singular term there must be associated a criterion of identity. | |
From: report of Michael Dummett (Frege Philosophy of Language (2nd ed) [1973]) by Bob Hale - Abstract Objects Ch.2.II | |
A reaction: This sounds a rather rigid test. Must the criteria be logically precise, or must you just have some vague idea of what you are talking about? |
10547 | Abstract objects can never be confronted, and need verbal phrases for reference [Dummett] |
Full Idea: An abstract object can be referred to only by means of a verbal phrase, ...and no confrontation with an abstract object is possible. | |
From: Michael Dummett (Frege Philosophy of Language (2nd ed) [1973], Ch.14) | |
A reaction: So does this mean that animals are incapable of entertaining abstract concepts? Some research suggests otherwise. Does a dog understand what a 'walk' is, without use of the word? Dummett disgracefully neglects animals in his theories. |
10531 | There is a modern philosophical notion of 'object', first introduced by Frege [Dummett] |
Full Idea: The notion of 'object', as it is now commonly used in philosophical contexts, is a modern notion, one first introduced by Frege. | |
From: Michael Dummett (Frege Philosophy of Language (2nd ed) [1973], Ch.14) | |
A reaction: If we say 'objects exist', I think it is crucial that if we are going to introduce 'object' as a term of art, then 'exist' had better stick to normal usage. If that drifts into a term of art as well (incorporating 'subsist', or some such) we have no hope! |
19660 | Possible non-being which must be realised is 'precariousness'; absolute contingency might never not-be [Meillassoux] |
Full Idea: My term 'precariousness' designates a possibility of not-being which must eventually be realised. By contrast, absolute contingency designates a pure possibility; one which may never be realised. | |
From: Quentin Meillassoux (After Finitude; the necessity of contingency [2006], 3) | |
A reaction: I thoroughly approve of this distinction, because I have often enountered the assumption that all contingency is precariousness, and I have never seen why that should be so. In Aquinas's Third Way, for example. The 6 on a die may never come up. |
19671 | The idea of chance relies on unalterable physical laws [Meillassoux] |
Full Idea: The very notion of chance is only conceivable on condition that there are unalterable physical laws. | |
From: Quentin Meillassoux (After Finitude; the necessity of contingency [2006], 4) | |
A reaction: Laws might be contingent, even though they never alter. Chance in horse racing relies on the stability of whole institution of horse racing. |
19651 | Unlike speculative idealism, transcendental idealism assumes the mind is embodied [Meillassoux] |
Full Idea: What distinguishes transcendental idealism from speculative idealism is the fact that the former does not posit the existence of the transcendental subject apart from its bodily individuation. | |
From: Quentin Meillassoux (After Finitude; the necessity of contingency [2006], 1) | |
A reaction: These modern French philosophers explain things so much more clearly than the English! The 'speculative' version is seen in Berkeley. On p.17 he says transcendental idealism is 'civilised', and speculative idealism is 'uncouth'. |
19647 | The aspects of objects that can be mathematical allow it to have objective properties [Meillassoux] |
Full Idea: All aspects of the object that can give rise to a mathematical thought rather than to a perception or a sensation can be meaningfully turned into the properties of the thing not only as it is with me, but also as it is without me. | |
From: Quentin Meillassoux (After Finitude; the necessity of contingency [2006], 1) | |
A reaction: This is Meillassoux's spin on the primary/secondary distinction, which he places at the heart of the scientific revolution. Cartesian dualism offers a separate space for the secondary qualities. He is appalled when philosophers reject the distinction. |
19652 | How can we mathematically describe a world that lacks humans? [Meillassoux] |
Full Idea: How is mathematical discourse able to describe a reality where humanity is absent? | |
From: Quentin Meillassoux (After Finitude; the necessity of contingency [2006], 1) | |
A reaction: He is referring to the prehistoric world. He takes this to be a key question about the laws of nature. We extrapolate mathematically from the experienced world, relying on the stability of the laws. Must they be necessary to be stable? No, it seems. |
19668 | Hume's question is whether experimental science will still be valid tomorrow [Meillassoux] |
Full Idea: Hume's question can be formulated as follows: can we demonstrate that the experimental science which is possible today will still be possible tomorrow? | |
From: Quentin Meillassoux (After Finitude; the necessity of contingency [2006], 4) | |
A reaction: Could there be deep universal changes going on in nature which science could never, even in principle, detect? |
19650 | The transcendental subject is not an entity, but a set of conditions making science possible [Meillassoux] |
Full Idea: The transcendental subject simply cannot be said to exist; which is to say that the subject is not an entity, but rather a set of conditions rendering objective scientific knowledge of entities possible. | |
From: Quentin Meillassoux (After Finitude; the necessity of contingency [2006], 1) | |
A reaction: Meillassoux treats this as part of the Kantian Disaster, which made an accurate account of the scientific revolution impossible for philosophers. Kant's ego seems to have primarily an epistemological role. |
19168 | Concepts only have a 'functional character', because they map to truth values, not objects [Dummett, by Davidson] |
Full Idea: Real functions map objects onto objects, but concepts map objects onto truth value, ...so Dummett says that concepts are not functions, but that they have a 'functional character'. | |
From: report of Michael Dummett (Frege Philosophy of Language (2nd ed) [1973]) by Donald Davidson - Truth and Predication 6 |
10549 | Since abstract objects cannot be picked out, we must rely on identity statements [Dummett] |
Full Idea: Since we cannot pick an abstract object out from its surrounding, all that we need to master is the use of statements of identity between objects of a certain kind. | |
From: Michael Dummett (Frege Philosophy of Language (2nd ed) [1973], Ch.14) | |
A reaction: This is the necessary Fregean preliminary to using a principle of abstraction to identify two objects which are abstract (when the two objects are in an equivalence relation). Presumably circular squares and square circles are identical? |
10516 | A realistic view of reference is possible for concrete objects, but not for abstract objects [Dummett, by Hale] |
Full Idea: Dummett claims that a realistic conception of reference can be sustained for concrete objects (possible objects of ostension), but breaks down for (putative) names of (pure) abstract objects. | |
From: report of Michael Dummett (Frege Philosophy of Language (2nd ed) [1973], Ch.14) by Bob Hale - Abstract Objects Ch.3.II | |
A reaction: An extremely hard claim to evaluate, because a case must first be made for abstract objects which are fundamentally different in kind. Realistic reference must certainly deal with these hard cases. Field rejects Dummett's abstract points. |
19667 | If the laws of nature are contingent, shouldn't we already have noticed it? [Meillassoux] |
Full Idea: The standard objection is that if the laws of nature were actually contingent, we would already have noticed it. | |
From: Quentin Meillassoux (After Finitude; the necessity of contingency [2006], 4) | |
A reaction: Meillassoux offers a sustained argument that the laws of nature are necessarily contingent. In Idea 19660 he distinguishes contingencies that must change from those that merely could change. |
19670 | Why are contingent laws of nature stable? [Meillassoux] |
Full Idea: We must ask how we are to explain the manifest stability of physical laws, given that we take these to be contingent? | |
From: Quentin Meillassoux (After Finitude; the necessity of contingency [2006], 4) | |
A reaction: Meissalloux offers a very deep and subtle answer to this question... It is based on the possibilities of chaos being an uncountable infinity... It is a very nice question, which physicists might be able to answer, without help from philosophy. |
19653 | The ontological proof of a necessary God ensures a reality external to the mind [Meillassoux] |
Full Idea: Since Descartes conceives of God as existing necessarily, whether I exist to think of him or not, Descartes assures me of a possible access to an absolute reality - a Great Outdoors that is not a correlate of my thought. | |
From: Quentin Meillassoux (After Finitude; the necessity of contingency [2006], 2) | |
A reaction: His point is that the ontological argument should be seen as part of the scientific revolution, and not an anomaly within it. Interesting. |
19658 | Now that the absolute is unthinkable, even atheism is just another religious belief (though nihilist) [Meillassoux] |
Full Idea: Once the absolute has become unthinkable, even atheism, which also targets God's inexistence in the manner of an absolute, is reduced to a mere belief, and hence to a religion, albeit of the nihilist kind. | |
From: Quentin Meillassoux (After Finitude; the necessity of contingency [2006], 2) | |
A reaction: An interesting claim. Rather hard to agree or disagree, though the idea that atheism must qualify as a religion seems odd. If it is unqualified it does have the grand quality of a religion, but if it is fallibilist it just seems like an attitude. |