Combining Philosophers

All the ideas for Archimedes, Gregory Vlastos and Lynne Rudder Baker

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8 ideas

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
     Full Idea: Archimedes gave a sort of definition of 'straight line' when he said it is the shortest line between two points.
     From: report of Archimedes (fragments/reports [c.240 BCE]) by Gottfried Leibniz - New Essays on Human Understanding 4.13
     A reaction: Commentators observe that this reduces the purity of the original Euclidean axioms, because it involves distance and measurement, which are absent from the purest geometry.
9. Objects / B. Unity of Objects / 3. Unity Problems / c. Statue and clay
Clay is intrinsically and atomically the same as statue (and that lacks 'modal properties') [Rudder Baker]
     Full Idea: Arguments for statue being the clay are: that the clay is intrinsically like the statue, that the clay has the same atoms as the statue', that objects don't have modal properties such as being necessarily F, and the reference of 'property' changes.
     From: Lynne Rudder Baker (Why Constitution is not Identity [1997], II)
     A reaction: [my summary of the arguments she identifies - see text for details] Rudder Baker attempts to refute all four of these arguments, in defence of constitution as different from identity.
The clay is not a statue - it borrows that property from the statue it constitutes [Rudder Baker]
     Full Idea: I argue that a lump of clay borrows the property of being a statue from the statue. The lump is a statue because, and only because, there is something that the lump constitutes that is a statue.
     From: Lynne Rudder Baker (Why Constitution is not Identity [1997], n9)
     A reaction: It is skating on very thin metaphysical ice to introduce the concept of 'borrowing' a property. I've spent the last ten minutes trying to 'borrow' some properties, but without luck.
9. Objects / B. Unity of Objects / 3. Unity Problems / d. Coincident objects
Is it possible for two things that are identical to become two separate things? [Rudder Baker]
     Full Idea: A strong intuition shared by many philosophers is that some things that are in fact identical might not have been identical.
     From: Lynne Rudder Baker (Why Constitution is not Identity [1997], IV)
     A reaction: This flies in the face of the Kripkean view that if Hesperus=Phosphorus then the identity is necessary. I don't think I have an intuition that some given thing might have been two things - indeed the thought seems totally weird. Amoeba? Statue/clay?
9. Objects / C. Structure of Objects / 6. Constitution of an Object
Constitution is not identity, as consideration of essential predicates shows [Rudder Baker]
     Full Idea: I want to resuscitate an essentialist argument against the view that constitution is identity, of the form 'x is essentially F, y is not essentially F, so x is not y'.
     From: Lynne Rudder Baker (Why Constitution is not Identity [1997], Intro)
     A reaction: The point is that x might be essentially F and y only accidentally F. Thus a statue is essentially so, but a lump if clay is not essentially a statue. Another case where 'necessary' would do instead of 'essentially'.
The constitution view gives a unified account of the relation of persons/bodies, statues/bronze etc [Rudder Baker]
     Full Idea: Constitution-without-identity is superior to constitution-as-identity in that it provides a unified view of the relation between persons and bodies, statues and pieces of bronze, and so on.
     From: Lynne Rudder Baker (Why Constitution is not Identity [1997], IV)
     A reaction: I have a problem with the intrinsic dualism of this whole picture. Clay needs shape, statues need matter - there aren't two 'things' here which have a 'relation'.
Statues essentially have relational properties lacked by lumps [Rudder Baker]
     Full Idea: The statue has relational properties which the lump of clay does not have essentially.
     From: Lynne Rudder Baker (Why Constitution is not Identity [1997], V)
     A reaction: She has in mind relations to the community of artistic life. I don't think this is convincing. Is something only a statue if it is validated by an artistic community? That sounds like relative identity, which she doesn't like.
25. Social Practice / D. Justice / 3. Punishment / b. Retribution for crime
In early Greece the word for punishment was also the word for vengeance [Vlastos]
     Full Idea: Down to the last third of the fifth century, 'timoria', whose original and always primary sense is "vengeance", is THE word for "punishment".
     From: Gregory Vlastos (Socrates: Ironist and Moral Philosopher [1991], p.186)