Combining Texts

All the ideas for 'Abstract Objects: a Case Study', 'There is No A Priori (and reply)' and 'The Disorder of Things'

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23 ideas

6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Mathematics is both necessary and a priori because it really consists of logical truths [Yablo]
     Full Idea: Mathematics seems necessary because the real contents of mathematical statements are logical truths, which are necessary, and it seems a priori because logical truths really are a priori.
     From: Stephen Yablo (Abstract Objects: a Case Study [2002], 10)
     A reaction: Yablo says his logicism has a Kantian strain, because numbers and sets 'inscribed on our spectacles', but he takes a different view (in the present Idea) from Kant about where the necessity resides. Personally I am tempted by an a posteriori necessity.
6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics
Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier [Yablo]
     Full Idea: Saying 'the number of Fs is 5', instead of using five quantifiers, puts the numeral in quantifiable position, which brings expressive advantages. 'There are more sheep in the field than cows' is an infinite disjunction, expressible in finite compass.
     From: Stephen Yablo (Abstract Objects: a Case Study [2002], 08)
     A reaction: See Hofweber with similar thoughts. This idea I take to be a key one in explaining many metaphysical confusions. The human mind just has a strong tendency to objectify properties, relations, qualities, categories etc. - for expression and for reasoning.
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
Concrete objects have few essential properties, but properties of abstractions are mostly essential [Yablo]
     Full Idea: Objects like me have a few essential properties, and numerous accidental ones. Abstract objects are a different story. The intrinsic properties of the empty set are mostly essential. The relations of numbers are also mostly essential.
     From: Stephen Yablo (Abstract Objects: a Case Study [2002], 01)
We are thought to know concreta a posteriori, and many abstracta a priori [Yablo]
     Full Idea: Our knowledge of concreta is a posteriori, but our knowledge of numbers, at least, has often been considered a priori.
     From: Stephen Yablo (Abstract Objects: a Case Study [2002], 02)
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
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.
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.
12. Knowledge Sources / A. A Priori Knowledge / 4. A Priori as Necessities
How could the mind have a link to the necessary character of reality? [Devitt]
     Full Idea: What non-experiential link to reality could support insights into its necessary character?
     From: Michael Devitt (There is No A Priori (and reply) [2005], 4)
     A reaction: The key to it, I think, is your theory of mind. If you are a substance dualist, then connecting to such deep things looks fine, but if you are a reductive physicalist then it looks absurdly hopeful.
12. Knowledge Sources / A. A Priori Knowledge / 11. Denying the A Priori
Some knowledge must be empirical; naturalism implies that all knowledge is like that [Devitt]
     Full Idea: It is overwhelmingly plausible that some knowledge is empirical. The attractive thesis of naturalism is that all knowledge is; there is only one way of knowing.
     From: Michael Devitt (There is No A Priori (and reply) [2005], 1)
     A reaction: How many ways for us to know seems to depend on what faculties we have. We lump our senses together under a single heading. The arrival of data is not the same as the arrival of knowledge. I'm unconvinced that naturalists like me must accept this.
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.
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
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.
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.
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.
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.
27. Natural Reality / G. Biology / 5. 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)
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?