Combining Texts

All the ideas for 'Abstract Objects: a Case Study', 'Frege's Distinction of Sense and Reference' and 'Letters to the Lord Marquis of Newcastle'

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8 ideas

5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
Ancient names like 'Obadiah' depend on tradition, not on where the name originated [Dummett]
     Full Idea: In the case of 'Obadiah', associated only with one act of writing a prophecy, ..it is the tradition which connects our use of the name with the man; where the actual name itself first came from has little to do with it.
     From: Michael Dummett (Frege's Distinction of Sense and Reference [1975], p.256)
     A reaction: Excellent. This seems to me a much more accurate account of reference than the notion of a baptism. In the case of 'Homer', whether someone was ever baptised thus is of no importance to us. The tradition is everything. Also Shakespeare.
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)
16. Persons / F. Free Will / 5. Against Free Will
If a man suddenly develops an intention of doing something, the cause is out of his control, not in his will [Hobbes]
     Full Idea: When first a man hath an appetite or will to something, to which immediately before he had no appetite or will, the cause of his will is not the will itself, but something else not in his own disposing.
     From: Thomas Hobbes (Letters to the Lord Marquis of Newcastle [1652])
Those actions that follow immediately the last appetite are voluntary [Hobbes]
     Full Idea: Those actions that follow immediately the last appetite are voluntary.
     From: Thomas Hobbes (Letters to the Lord Marquis of Newcastle [1652])
19. Language / B. Reference / 3. Direct Reference / b. Causal reference
The causal theory of reference can't distinguish just hearing a name from knowing its use [Dummett]
     Full Idea: The causal theory of reference, in a full-blown form, makes it impossible to distinguish between knowing the use of a proper name and simply having heard the name and recognising it as a name.
     From: Michael Dummett (Frege's Distinction of Sense and Reference [1975], p.254)
     A reaction: None of these things are all-or-nothing. I have an inkling of how to use it once I realise it is a name. Of course you could be causally connected to a name and not even realise that it was a name, so something more is needed.