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All the ideas for 'Abstract Objects: a Case Study', 'talk' and 'Properties'

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24 ideas

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
In the iterative conception of sets, they form a natural hierarchy [Swoyer]
     Full Idea: In the iterative conception of sets, they form a natural hierarchy.
     From: Chris Swoyer (Properties [2000], 4.1)
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Logical Form explains differing logical behaviour of similar sentences [Swoyer]
     Full Idea: 'Logical Form' is a technical notion motivated by the observation that sentences with a similar surface structure may exhibit quite different logical behaviour.
     From: Chris Swoyer (Properties [2000], 4.2)
     A reaction: [Swoyer goes on to give some nice examples] The tricky question is whether each sentence has ONE logical form. Pragmatics warns us of the dangers. One needs to check numerous inferences from a given sentences, not just one.
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 / 5. Supervenience / a. Nature of supervenience
Supervenience is nowadays seen as between properties, rather than linguistic [Swoyer]
     Full Idea: Supervenience is sometimes taken to be a relationship between two fragments of language, but it is increasingly taken to be a relationship between pairs of families of properties.
     From: Chris Swoyer (Properties [2000], 7.17)
     A reaction: If supervenience is a feature of the world, rather than of our descriptions, then it cries out for explanation, just as any other regularities do. Personally I would have thought the best explanation of the supervenience of mind and body was obvious.
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 / D. Theories of Reality / 4. Anti-realism
Anti-realists can't explain different methods to measure distance [Swoyer]
     Full Idea: Anti-realists theories of measurement (like operationalism) cannot explain how we can use different methods to measure the same thing (e.g. lengths and distances in cosmology, geology, histology and atomic physics).
     From: Chris Swoyer (Properties [2000], 4.2)
     A reaction: Swoyer says that the explanation is that measurement aims at objective properties, the same in each of these areas. Quite good.
8. Modes of Existence / B. Properties / 1. Nature of Properties
Can properties have parts? [Swoyer]
     Full Idea: Can properties have parts?
     From: Chris Swoyer (Properties [2000], 6.4)
     A reaction: If powers are more fundamental than properties, with the latter often being complexes of the underlying powers, then yes they do. But powers don't. Presumably whatever is fundamental shouldn't have parts. Why?
If a property such as self-identity can only be in one thing, it can't be a universal [Swoyer]
     Full Idea: Some properties may not be universals, if they can only be exemplified by one thing, such as 'being identical with Socrates'.
     From: Chris Swoyer (Properties [2000])
     A reaction: I think it is absurd to think that self-identity is an intrinsic 'property', possessed by everything. That a=a is a convenience for logicians, meaning nothing in the world. And it is relational. The sharing of properties is indeed what needs explanation.
8. Modes of Existence / B. Properties / 5. Natural Properties
There are only first-order properties ('red'), and none of higher-order ('coloured') [Swoyer]
     Full Idea: 'Elementarism' is the view that there are first-order properties, but that there are no properties of any higher-order. There are first-order properties like various shades of red, but there is no higher-order property, like 'being a colour'.
     From: Chris Swoyer (Properties [2000], 7.1)
     A reaction: [He cites Bergmann 1968] Interesting. Presumably the programme is naturalistic (and hence congenial to me), and generalisations about properties are conceptual, while the properties themselves are natural.
8. Modes of Existence / B. Properties / 11. Properties as Sets
The best-known candidate for an identity condition for properties is necessary coextensiveness [Swoyer]
     Full Idea: The best-known candidate for an identity condition for properties is necessary coextensiveness.
     From: Chris Swoyer (Properties [2000], 6)
     A reaction: The necessity (in all possible worlds) covers renates and cordates. It is hard to see how one could assert the necessity without some deeper explanation. What makes us deny that actually coextensive renates and cordates have different properties?
8. Modes of Existence / D. Universals / 1. Universals
Various attempts are made to evade universals being wholly present in different places [Swoyer]
     Full Idea: The worry that a single thing could be wholly present in widely separated locations has led to trope theory, to the claim that properties are not located in their instances, or to the view that this treats universals as if they were individuals.
     From: Chris Swoyer (Properties [2000], 2.2)
     A reaction: I find it dispiriting to come to philosophy in the late twentieth century and have to inherit such a ridiculous view as that there are things that are 'wholly present' in many places.
8. Modes of Existence / E. Nominalism / 4. Concept Nominalism
Conceptualism says words like 'honesty' refer to concepts, not to properties [Swoyer]
     Full Idea: Conceptualists urge that words like 'honesty', which might seem to refer to properties, really refer to concepts. A few contemporary philosophers have defended conceptualism, and recent empirical work bears on it, but the view is no longer common.
     From: Chris Swoyer (Properties [2000], 1.1)
     A reaction: ..and that's all Swoyer says about this very interesting view! He only cites Cocchiarella 1986 Ch.3. The view leaves a lot of work to be done in explaining how nature is, and how our concepts connect to it, and arise in response to it.
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
If properties are abstract objects, then their being abstract exemplifies being abstract [Swoyer]
     Full Idea: If properties are abstract objects, then the property of being abstract should itself exemplify the property of being abstract.
     From: Chris Swoyer (Properties [2000], 2.2)
     A reaction: Swoyer links this observation with Plato's views on self-predication, and his Third Man Argument (which I bet originated with Aristotle in the Academy!). Do we have a regress of objects, as well as a regress of properties?
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
One might hope to reduce possible worlds to properties [Swoyer]
     Full Idea: One might hope to reduce possible worlds to properties.
     From: Chris Swoyer (Properties [2000], 4.1)
     A reaction: [He cites Zalta 1983 4.2, and Forrest 1986] I think we are dealing with nothing more than imagined possibilities, which are inferred from our understanding of the underlying 'powers' of the actual world (expressed as 'properties').
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
Behind the bare phenomenal facts there is nothing [Wright,Ch]
     Full Idea: Behind the bare phenomenal facts, as my tough-minded old friend Chauncey Wright, the great Harvard empiricist of my youth, used to say, there is nothing.
     From: Chauncey Wright (talk [1870]), quoted by William James - Pragmatism - eight lectures Lec 7
     A reaction: This is the best slogan for strong phenomenalism ever coined! It also seems to fit David Lewis's approach to philosophy, as the pure study of the mosaic of experiences.
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
Extreme empiricists can hardly explain anything [Swoyer]
     Full Idea: Extreme empiricists wind up unable to explain much of anything.
     From: Chris Swoyer (Properties [2000], 2.3)
     A reaction: This seems to be the major problem for empiricism, but I am not sure why inference to the best explanation should not be part of a sensible empirical approach. Thinking laws are just 'descriptions of regularities' illustrates the difficulty.
18. Thought / C. Content / 8. Intension
Intensions are functions which map possible worlds to sets of things denoted by an expression [Swoyer]
     Full Idea: Intensions are functions that assign a set to the expression at each possible world, ..so the semantic value of 'red' is the function that maps each possible world to the set of things in that world that are red.
     From: Chris Swoyer (Properties [2000], 4.2)
     A reaction: I am suddenly deeply alienated from this mathematical logicians' way of talking about what 'red' means! We need more psychology, not less. We call things red if we imagine them as looking red. Is imagination a taboo in analytical philosophy?
18. Thought / D. Concepts / 4. Structure of Concepts / e. Concepts from exemplars
Research suggests that concepts rely on typical examples [Swoyer]
     Full Idea: Recent empirical work on concepts says that many concepts have graded membership, and stress the importance of phenomena like typicality, prototypes, and exemplars.
     From: Chris Swoyer (Properties [2000], 4.2)
     A reaction: [He cites Rorsch 1978 as the start of this] I say the mind is a database, exactly corresponding to tables, fields etc. Prototypes sound good as the way we identify a given category. Universals are the 'typical' examples labelling areas (e.g. goat).
19. Language / C. Assigning Meanings / 3. Predicates
The F and G of logic cover a huge range of natural language combinations [Swoyer]
     Full Idea: All sorts of combinations of copulas ('is') with verbs, adverbs, adjectives, determiners, common nouns, noun phrases and prepositional phrases go over into the familiar Fs and Gs of standard logical notation.
     From: Chris Swoyer (Properties [2000], 1.2)
     A reaction: This is a nice warning of how misleading logic can be when trying to understand how we think about reality. Montague semantics is an attempt to tackle the problem. Numbers as adjectives are a clear symptom of the difficulties.
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
Maybe a proposition is just a property with all its places filled [Swoyer]
     Full Idea: Some say we can think of a proposition as a limiting case of a property, as when the two-place property '___ loves ___' can become the zero-placed property, or proposition 'that Sam loves Darla'.
     From: Chris Swoyer (Properties [2000], 7.6)
     A reaction: If you had a prior commitment to the idea that reality largely consists of bundles of properties, I suppose you might find this tempting.
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
If laws are mere regularities, they give no grounds for future prediction [Swoyer]
     Full Idea: If laws were mere regularities, then the fact that observed Fs have been Gs would give us no reason to conclude that those Fs we haven't encountered will also be Gs.
     From: Chris Swoyer (Properties [2000], 4.2)
     A reaction: I take this simple point to be very powerful. No amount of regularity gives grounds for asserting future patterns - one only has Humean habits. Causal mechanisms are what we are after.
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
Two properties can have one power, and one property can have two powers [Swoyer]
     Full Idea: If properties are identical when they confer the same capacities on their instances, different properties seem able to bestow the same powers (e.g. force), and one property can bestow different powers (attraction or repulsion).
     From: Chris Swoyer (Properties [2000], 4.2)
     A reaction: Interesting, but possibly a misunderstanding. Powers are basic, and properties are combinations of powers. A 'force' isn't a basic power, it is a consequence of various properties. Relational behaviours are also not basic powers, which are the source.