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All the ideas for 'Abstract Objects: a Case Study', 'Positions' and 'Russell's Ontological Development'

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9 ideas

1. Philosophy / H. Continental Philosophy / 6. Deconstruction
Deconstruction is not neutral; it intervenes [Derrida]
     Full Idea: Deconstruction, I have insisted, is not neutral. It intervenes.
     From: Jacques Derrida (Positions [1971], p.76)
     A reaction: This, I think, is because there is in Derrida, as in most French philosophers, a strong streak of Marxism, and a desire to change the world, rather than merely understanding it. Idea 8213 shows the sort of thing he wants to change.
2. Reason / C. Styles of Reason / 1. Dialectic
I try to analyse certain verbal concepts which block and confuse the dialectical process [Derrida]
     Full Idea: I have tried to analyse certain marks in writing which are undecidables, false verbal properties, which inhabit philosophical opposition, resisting and disorganising it, without ever constituting a third term, withour ever leaving room for a solution.
     From: Jacques Derrida (Positions [1971], p.40)
     A reaction: [I have simplified his sentence!] Much of Derrida seems to be a commentary on the Hegelian dialectic, and the project is presumably to figure out why philosophy is not advancing in the way we would like. Interesting...
2. Reason / D. Definition / 12. Paraphrase
Russell offered a paraphrase of definite description, to avoid the commitment to objects [Quine]
     Full Idea: Russell's theory involved defining a term not by presenting a direct equivalent of it, but by 'paraphrasis', providing equivalents of the sentences. In this way, reference to fictitious objects can be simulated without our being committed to the objects.
     From: Willard Quine (Russell's Ontological Development [1966], p.75)
     A reaction: I hadn't quite grasped that the modern strategy of paraphrase tracks back to Russell - though it now looks obvious, thanks to Quine. Paraphrase is a beautiful way of sidestepping ontological problems. See Frege on the moons of Jupiter.
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)
19. Language / A. Nature of Meaning / 7. Meaning Holism / a. Sentence meaning
Taking sentences as the unit of meaning makes useful paraphrasing possible [Quine]
     Full Idea: The new freedom that Russell confers by paraphrasis (of definite descriptions) is our reward for recognising that the unit of communication is the sentence and not the word.
     From: Willard Quine (Russell's Ontological Development [1966], p.75)
     A reaction: Since many people hardly ever speak a properly formed sentence, I take propositions to be better candidates for this. However, I don't see how we can reject the compositional view (the meanings are assembled).
Knowing a word is knowing the meanings of sentences which contain it [Quine]
     Full Idea: We can say that knowing words is knowing how to work out the meanings of sentences containing them. Dictionary definitions are mere clauses in a recursive definition of the meanings of sentences.
     From: Willard Quine (Russell's Ontological Development [1966], p.76)
     A reaction: Do you have to recursively define all the sentences that might contain the word, before you can fully know the meaning of the word? He seems to credit Russell with the holistic view of sentences (though I think that starts with Frege).