Combining Texts

All the ideas for 'Truth and the Past', 'The Disorder of Things' and 'On Euclidean Geometry'

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29 ideas

5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
Undecidable statements result from quantifying over infinites, subjunctive conditionals, and the past tense [Dummett]
     Full Idea: I once wrote that there are three linguistic devices that make it possible for us to frame undecidable statements: quantification over infinity totalities, as expressed by word such as 'never'; the subjunctive conditional form; and the past tense.
     From: Michael Dummett (Truth and the Past [2001], 4)
     A reaction: Dummett now repudiates the third one. Statements containing vague concepts also appear to be undecidable. Personally I have no problems with deciding (to a fair extent) about 'never x', and 'if x were true', and 'it was x'.
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
The truth of an axiom must be independently recognisable [Frege]
     Full Idea: It is part of the concept of an axiom that it can be recognised as true independently of other truths.
     From: Gottlob Frege (On Euclidean Geometry [1900], 183/168), quoted by Tyler Burge - Frege on Knowing the Foundations 4
     A reaction: Frege thinks the axioms of arithmetic all reside in logic.
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / b. The Heap paradox ('Sorites')
Surely there is no exact single grain that brings a heap into existence [Dummett]
     Full Idea: There is surely no number n such that "n grains of sand do not make a heap, although n+1 grains of sand do" is true.
     From: Michael Dummett (Truth and the Past [2001], 4)
     A reaction: It might be argued that there is such a number, but no human being is capable of determing it. Might God know the value of n? On the whole Dummett's view seems the most plausible.
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Intuitionists rely on the proof of mathematical statements, not their truth [Dummett]
     Full Idea: The intuitionist account of the meaning of mathematical statements does not employ the notion of a statement's being true, but only that of something's being a proof of the statement.
     From: Michael Dummett (Truth and the Past [2001], 2)
     A reaction: I remain unconvinced that anyone could give an account of proof that didn't discreetly employ the notion of truth. What are we to make of "we suspect this is true, but no one knows how to prove it?" (e.g. Goldbach's Conjecture).
7. Existence / B. Change in Existence / 1. Nature of Change
A 'Cambridge Change' is like saying 'the landscape changes as you travel east' [Dummett]
     Full Idea: The idea of 'Cambridge Change' is like saying 'the landscape changes as you travel east'.
     From: Michael Dummett (Truth and the Past [2001], 5)
     A reaction: The phrase was coined in Oxford. It is a useful label with which realists can insult solipsists, idealists and other riff-raff. Four Dimensionalists seem to see time in this way. Events sit there, and we travel past them. But there are indexical events.
7. Existence / D. Theories of Reality / 4. Anti-realism
I no longer think what a statement about the past says is just what can justify it [Dummett]
     Full Idea: In distinguishing between what can establish a statement about the past as true and what it is that that statement says, we are repudiating antirealism about the past.
     From: Michael Dummett (Truth and the Past [2001], 3)
     A reaction: This is a late shift of ground from the champion of antirealism. If Dummett's whole position is based on a 'justificationist' theory of meaning, he must surely have a different theory of meaning now for statements about the past?
7. Existence / E. Categories / 1. Categories
All descriptive language is classificatory [Dupré]
     Full Idea: Classification pervades any descriptive use of language whatever.
     From: John Dupré (The Disorder of Things [1993], 1)
     A reaction: This is because, as Aristotle well knew, language consists almost entirely of universals (apart from the proper names). Language just is classification.
7. Existence / E. Categories / 2. Categorisation
We should aim for a classification which tells us as much as possible about the object [Dupré]
     Full Idea: The most important desideratum of a classificatory scheme is that assigning an object to a particular classification tell us as much as possible about that object.
     From: John Dupré (The Disorder of Things [1993], Ch 1)
     A reaction: We should probably say that the aim is a successful explanation, rather than a heap of information. If we are totally baffled by a particular type of object, it is presumably important to group the instances together, to focus the bafflement.
9. Objects / D. Essence of Objects / 8. Essence as Explanatory
Natural kinds don't need essentialism to be explanatory [Dupré]
     Full Idea: The importance of natural kinds for explanation does not depend on a doctrine of essences.
     From: John Dupré (The Disorder of Things [1993], 3)
     A reaction: He suggest as the alternative that laws do the explaining, employing natural kinds. He allows that individual essences might be explanatory.
9. Objects / D. Essence of Objects / 10. Essence as Species
A species might have its essential genetic mechanism replaced by a new one [Dupré]
     Full Idea: Contradicting one of the main points of essentialism, there is no reason in principle why a species should not survive the demise of its current genetic mechanisms (some other species coherence gradually taking over).
     From: John Dupré (The Disorder of Things [1993], 2)
     A reaction: I would say that this meant that the species had a new essence, because I don't take what is essential to be the same as what is necessary. The new genetics would replace the old as the basic explanation of the species.
It seems that species lack essential properties, so they can't be natural kinds [Dupré]
     Full Idea: It is widely agreed among biologists that no essential property can be found to demarcate species, so that if an essential property is necessary for a natural kind, species are not natural kinds.
     From: John Dupré (The Disorder of Things [1993], 2)
     A reaction: This uses 'essential' to mean 'necessary', but I would use 'essential' to mean 'deeply explanatory'. Biological species are, nevertheless, dubious members of an ontological system. Vegetables are the problem.
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
The existence of a universe without sentience or intelligence is an unintelligible fantasy [Dummett]
     Full Idea: The existence of a universe from which sentience was permanently absent is an unintelligible fantasy. What exists is what can be known to exist. What is true is what can be known to be true. Reality is what can be experienced and known.
     From: Michael Dummett (Truth and the Past [2001], 5)
     A reaction: This strikes me as nonsense. The fact that we cannot think about a universe without introducing a viewpoint does not mean that we cannot 'intellectually imagine' its existence devoid of viewpoints. Nothing could ever experience a star's interior.
14. Science / A. Basis of Science / 4. Prediction
The possibility of prediction rests on determinism [Dupré]
     Full Idea: Determinism is the metaphysical underlay of the possibility of prediction.
     From: John Dupré (The Disorder of Things [1993], Intro)
     A reaction: Not convinced. There might be micro-indeterminacies which iron out into macro-regularities.
18. Thought / C. Content / 5. Twin Earth
Presumably molecular structure seems important because we never have the Twin Earth experience [Dupré]
     Full Idea: It is surely the absence of experiences like the one Putnam describes that makes it reasonable to attach to molecular structure at least most of the importance that Putnam ascribes to it.
     From: John Dupré (The Disorder of Things [1993], 1)
     A reaction: That is, whenever we experience water-like stuff, it always turns out to have the same molecular structure. Twin Earth is a nice thought experiment, except that XZY is virtually inconceivable.
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Verification is not an individual but a collective activity [Dummett]
     Full Idea: Verification is not an individual but a collective activity.
     From: Michael Dummett (Truth and the Past [2001], 3)
     A reaction: This generates problems. Are deceased members of the community included? (Yes, says Dummett). If someone speaks to angels (Blake!), do they get included? Is a majority necessary? What of weird loners? Etc.
19. Language / C. Assigning Meanings / 6. Truth-Conditions Semantics
Truth-condition theorists must argue use can only be described by appeal to conditions of truth [Dummett]
     Full Idea: To demonstrate the necessity of a truth-conditional theory of meaning, a proponent of such a theory must argue that use cannot be described without appeal to the conditions for the truth of statements.
     From: Michael Dummett (Truth and the Past [2001], 1)
     A reaction: Unlike Dummett, I find that argument rather appealing. How do you decide the possible or appropriate use for a piece of language, if you don't already know what it means. Basing it all on social conventions means it could be meaningless ritual.
The truth-conditions theory must get agreement on a conception of truth [Dummett]
     Full Idea: It is not enough for the truth-condition theorist to argue that we need the concept of truth: he must show that we should have the same conception of truth that he has.
     From: Michael Dummett (Truth and the Past [2001], 2)
     A reaction: Davidson invites us to accept Tarski's account of truth. It invites the question of what the theory would be like with a very robust correspondence account of truth, or a flabby rather subjective coherence view, or the worst sort of pragmatic view.
26. Natural Theory / B. Natural Kinds / 1. Natural Kinds
Phylogenetics involves history, and cladism rests species on splits in lineage [Dupré]
     Full Idea: The phylogenetic conception of classification reflects the facts of evolutionary history. Cladism insists that every taxonomic distinction should reflect an evolutionary event of lineage bifurcation.
     From: John Dupré (The Disorder of Things [1993], 1)
     A reaction: Devitt attacks cladism nicely. It rules out species change without bifurcation, and it insists on species change even in a line which remains unchanged after a split.
Kinds don't do anything (including evolve) because they are abstract [Dupré]
     Full Idea: A kind, being an abstract object, cannot do anything, including evolve.
     From: John Dupré (The Disorder of Things [1993], 2)
     A reaction: Maybe. We might have an extensional view of the kind, so that 'gold' is the set of extant gold atoms. But possible gold atoms are also gold, and defunct ones too. Virtually every word in English is abtract if you think about it long enough.
26. Natural Theory / B. Natural Kinds / 7. Critique of Kinds
Natural kinds are decided entirely by the intentions of our classification [Dupré]
     Full Idea: The question of which natural kind a thing belongs to ....can be answered only in relation to some specification of the goal underlying the intent to classify the object.
     From: John Dupré (The Disorder of Things [1993], Intro)
     A reaction: I don't think I believe this. The situation is complex, and our intents are relevant, but to find an intent which no longer classifies tigers into the same category is wilful silliness.
Borders between species are much less clear in vegetables than among animals [Dupré]
     Full Idea: The richest source of illustrations is the vegetable kingdom, where specific differences tend to be much less clear than among animals, and considerable developmental plasticity is the rule.
     From: John Dupré (The Disorder of Things [1993], 1)
     A reaction: Nice. Just as the idea that laws of nature are mathematical suits physics, but founders on biology, so natural kinds founder in an area of biology to which we pay less attention. He cites prickly pears and lilies. I'm thinking oranges, satsumas etc.
Even atoms of an element differ, in the energy levels of their electrons [Dupré]
     Full Idea: Even if we claim that it is really isotopes not atoms that are the natural kinds (thus divorcing chemistry from ordinary language), atoms are said to differ with respect to such features as energy levels of the electrons.
     From: John Dupré (The Disorder of Things [1993], 2)
     A reaction: So we can't just pick out the features of one atom, and say that is the essence. Essence always involves some selection. I say the essence arises from the explanation of the atom's behaviour.
Ecologists favour classifying by niche, even though that can clash with genealogy [Dupré]
     Full Idea: To the extent that the occupants of a particular niche do not coincide with the members of a particular genealogical line, a possibility widely acknowledged to occur, ecologists must favour a method of classification lacking genealogical grounding.
     From: John Dupré (The Disorder of Things [1993], 2)
     A reaction: Zoo keepers probably classify by cages, or which zoo owns what, but that doesn't mean that they reject genealogy. Don't assume ecologists are rejecting any underlying classification that differs from theirs. Compare classification by economists.
Cooks, unlike scientists, distinguish garlic from onions [Dupré]
     Full Idea: It would be a severe culinary misfortune if no distinction were drawn between garlic and onions, a distinction that is not reflected in scientific taxonomy.
     From: John Dupré (The Disorder of Things [1993], 1)
     A reaction: Not every persuasive. We distinguish some cows from others because they taste better, but no one thinks that is a serious way in which to classify cows.
Wales may count as fish [Dupré]
     Full Idea: The claim that whales are not fish is a debatable one
     From: John Dupré (The Disorder of Things [1993], 1)
     A reaction: A very nice challenge to an almost unquestioned orthodoxy.
27. Natural Reality / D. Time / 1. Nature of Time / f. Eternalism
Maybe past (which affects us) and future (which we can affect) are both real [Dummett]
     Full Idea: Maybe both the past and the future are real, determined by our current temporal perspective. Past is then events capable of having a causal influence upon events near us, and future is events we can affect, but from which we receive no information.
     From: Michael Dummett (Truth and the Past [2001], 5)
     A reaction: This is the Four-Dimensional view, which is opposed to Presentism. Might immediate unease is that it gives encouragement to fortune-tellers, whom I have always dismissed with 'You can't see the future, because it doesn't exist'.
27. Natural Reality / D. Time / 2. Passage of Time / k. Temporal truths
The present cannot exist alone as a mere boundary; past and future truths are rendered meaningless [Dummett]
     Full Idea: The idea that only the present is real cannot be sustained. St Augustine pointed out that the present has no duration; it is a mere boundary between past and future, and dependent on them. It also denies truth-value to statements about past or future.
     From: Michael Dummett (Truth and the Past [2001], 5)
     A reaction: To defend Presentism, I suspect that one must focus entirely on the activities of consciousness and short-term memory. All truths, of past or future, must refer totally to such mental events. But what could an event be if there is no enduring time?
27. Natural Reality / G. Biology / 5. Species
Species are the lowest-level classification in biology [Dupré]
     Full Idea: Species are, by definition, the lowest-level classificatory unit, or basal taxonomic unit, for biological organisms.
     From: John Dupré (The Disorder of Things [1993], 2)
     A reaction: I think this is the 'infima species' for Aristotelians. What about 'male' and 'female' in each species?
The theory of evolution is mainly about species [Dupré]
     Full Idea: Species are what the theory of evolution is centrally about.
     From: John Dupré (The Disorder of Things [1993], 2)