Combining Texts

All the ideas for 'Leibniz', 'Modes of Extension: comment on Fine' and 'Lectura'

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4 ideas

9. Objects / B. Unity of Objects / 1. Unifying an Object / a. Intrinsic unification
'Unity' is a particularly difficult word, because things can have hidden unity [Duns Scotus]
     Full Idea: I believe that 'unity' is one of the more difficult words in philosophy, for there are in things many hidden (occultae) unities that are obscure to us.
     From: John Duns Scotus (Lectura [1298], I.17.2.4), quoted by Robert Pasnau - Metaphysical Themes 1274-1671
     A reaction: Some examples would be nice. Do the Earth and the Moon form a unity, because of gravity? How ponders whether whiteness and a white man are unified.
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
The Identity of Indiscernibles is really the same as the verification principle [Jolley]
     Full Idea: Various writers have noted that the Identity of Indiscernibles is really tantamount to the verification principle.
     From: Nicholas Jolley (Leibniz [2005], Ch.3)
     A reaction: Both principles are false, because they are the classic confusion of epistemology and ontology. The fact that you cannot 'discern' a difference between two things doesn't mean that there is no difference. Things beyond verification can still be discussed.
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
Any equivalence relation among similar things allows the creation of an abstractum [Simons]
     Full Idea: Whenever we have an equivalence relation among things - such as similarity in a certain respect - we can abstract under the equivalence and consider the abstractum.
     From: Peter Simons (Modes of Extension: comment on Fine [2008], p.19)
     A reaction: This strikes me as dressing up old-fashioned psychological abstractionism in the respectable clothing of Fregean equivalences (such as 'directions'). We can actually do what Simons wants without the precision of partitioned equivalence classes.
Abstraction is usually seen as producing universals and numbers, but it can do more [Simons]
     Full Idea: Abstraction as a cognitive tool has been associated predominantly with the metaphysics of universals and of mathematical objects such as numbers. But it is more widely applicable beyond this standard range. I commend its judicious use.
     From: Peter Simons (Modes of Extension: comment on Fine [2008], p.21)
     A reaction: Personally I think our view of the world is founded on three psychological principles: abstraction, idealisation and generalisation. You can try to give them rigour, as 'equivalence classes', or 'universal quantifications', if it makes you feel better.