Combining Texts

All the ideas for 'Croce and Collingwood', 'A New Kind of Science' and 'On Plural Reference and Set Theory'

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7 ideas

5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
A 'singulariser' converts a plural like 'number of' to a syntactically neutral form [Cartwright,H, by Hossack]
     Full Idea: Helen Cartwright calls 'a number of' a 'singulariser', an expression whose linguistic function is to convert to a syntactically neutral form an expression whose semantic value remains plural. It is a great convenience grammatically.
     From: report of Helen Cartwright (On Plural Reference and Set Theory [1993]) by Keith Hossack - Plurals and Complexes 2
     A reaction: Compare Hofweber's Idea 10004, suggesting it is a crucial psychological convenience for reasoning, as well as a 'grammatical' convenience.
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
At one level maths and nature are very similar, suggesting some deeper origin [Wolfram]
     Full Idea: At some rather abstract level one can immediately recognise one basic similarity between nature and mathematics ...this suggests that the overall similarity between mathematics and nature must have a deeper origin.
     From: Stephen Wolfram (A New Kind of Science [2002], p.772), quoted by Peter Watson - Convergence 17 'Philosophy'
     A reaction: Personally I think mathematics has been derived by abstracting from the patterns in nature, and then further extrapolating from those abstractions. So the puzzle in nature is not the correspondence with mathematics, but the patterns.
21. Aesthetics / A. Aesthetic Experience / 1. Aesthetics
By 1790 aestheticians were mainly trying to explain individual artistic genius [Kemp]
     Full Idea: By 1790 the idea that a central task for the aesthetician was to explain or at least adequately to describe the phenomenon of the individual artistic genius had definitely taken hold.
     From: Gary Kemp (Croce and Collingwood [2012], Intro)
     A reaction: Hence when Kant and Hegel write about art, though are only really thinking of the greatest art (which might be in touch with the sublime or Spirit etc.). Nowadays I think we expect accounts of art to cover modest amateur efforts as well.
21. Aesthetics / B. Nature of Art / 4. Art as Expression
Expression can be either necessary for art, or sufficient for art (or even both) [Kemp]
     Full Idea: Seeing art as expression has two components: 1) if something is a work of art, then it is expressive, 2) if something is expressive, then it is a work of art. So expression can be necessary or sufficient for art. (or both, for Croce and Collingwood).
     From: Gary Kemp (Croce and Collingwood [2012], 1)
     A reaction: I take the idea that art 'expresses' the feelings of an artist to be false. Artists are more like actors. Nearly all art has some emotional impact, which is of major importance, but I don't think 'expression' is a very good word for that.
We don't already know what to express, and then seek means of expressing it [Kemp]
     Full Idea: One cannot really know, or be conscious of, what it is that one is going to express, and then set about expressing it; indeed if one is genuinely conscious of it then one has already expressed it.
     From: Gary Kemp (Croce and Collingwood [2012], 1)
     A reaction: That pretty conclusively demolishes the idea that art is expression. I picture Schubert composing at the piano: he doesn't feel an emotion, and then hunt for its expression on the keyboard; he seeks out expressive phrases by playing.
The horror expressed in some works of art could equallly be expressed by other means [Kemp]
     Full Idea: The horror or terror of Edvard Much's 'The Scream' could in principle be expressed by different paintings, or even by works of music.
     From: Gary Kemp (Croce and Collingwood [2012], 1)
     A reaction: A very good simple point against the idea that the point of art is expression. It leaves out the very specific nature of each work of art!
27. Natural Reality / C. Space / 4. Substantival Space
Space and its contents seem to be one stuff - so space is the only existing thing [Wolfram]
     Full Idea: It seems plausible that both space and its contents should somehow be made of the same stuff - so that in a sense space becomes the only thing in the universe.
     From: Stephen Wolfram (A New Kind of Science [2002], p.474), quoted by Peter Watson - Convergence 17 'Philosophy'
     A reaction: I presume the concept of a 'field' is what makes this idea possible.