Combining Texts

Ideas for 'Thinking About Mathematics', 'Every Thing Must Go' and 'Scattered Objects'

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3 ideas

9. Objects / B. Unity of Objects / 1. Unifying an Object / c. Unity as conceptual
Things are abstractions from structures [Ladyman/Ross]
     Full Idea: Individual things are locally focused abstractions from modal structure.
     From: J Ladyman / D Ross (Every Thing Must Go [2007], 3.4)
     A reaction: I am a fan of the role of abstraction in our understanding of the world, despite my limited progress in trying to explicate the idea. I can't decide whether or not there are any things. A bit basic, that!
9. Objects / B. Unity of Objects / 3. Unity Problems / a. Scattered objects
Clearly a pipe can survive being taken apart [Cartwright,R]
     Full Idea: There is at the moment a pipe on my desk. Its stem has been removed but it remains a pipe for all that; otherwise no pipe could survive a thorough cleaning.
     From: Richard Cartwright (Scattered Objects [1974], p.175)
     A reaction: To say that the pipe survives dismantling is not to say that it is fully a pipe during its dismantled phase. He gives a further example of a book in two volumes.
Bodies don't becomes scattered by losing small or minor parts [Cartwright,R]
     Full Idea: If a branch falls from a tree, the tree does not thereby become scattered, and a human body does not become scattered upon loss of a bit of fingernail.
     From: Richard Cartwright (Scattered Objects [1974], p.184)
     A reaction: This sort of observation draws me towards essentialism. A body is scattered if you divide it in a major way, but not if you separate off a minor part. It isn't just a matter of size, or even function. We have broader idea of what is essential.