Combining Texts

Ideas for 'Introduction to 'Properties'', 'Mathematical Physics' and 'fragments/reports'

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2 ideas

18. Thought / E. Abstraction / 3. Abstracta by Ignoring
Maths deals with quantities of physical significance, ignoring irrelevant features [Geroch]
     Full Idea: Mathematics can serve to provide a framework within which one deals only with quantities of physical significance, ignoring other, irrelevant things.
     From: Robert Geroch (Mathematical Physics [1985], p.1), quoted by Charles Chihara - A Structural Account of Mathematics 9.8
     A reaction: This is a modern physicist espousing abstractionism, as derided and dismissed by Frege and Geach. It's common sense, really.
18. Thought / E. Abstraction / 5. Abstracta by Negation
Abstractions lack causes, effects and spatio-temporal locations [Mellor/Oliver]
     Full Idea: Abstract entities (such as sets) are usually understood as lacking causes, effects, and spatio-temporal location.
     From: DH Mellor / A Oliver (Introduction to 'Properties' [1997], §10)
     A reaction: This seems to beg some questions. Has the ideal of 'honour' never caused anything? Young men dream of pure velocity.