Combining Texts

Ideas for 'Thinking About Mathematics', 'Leibniz' and 'Parts'

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2 ideas

10. Modality / B. Possibility / 1. Possibility
Early modern possibility is what occurs sometime; for Leibniz, it is what is not contradictory [Arthur,R]
     Full Idea: For Descartes, Hobbes and Spinoza, if a state of things is possible, it must occur at some time, whether past, present or future. For Leibniz possibility makes no reference to time; an individual is possible if its concept contains no contradiction.
     From: Richard T.W. Arthur (Leibniz [2014], 4 'Contingent')
     A reaction: It has always struck me as fallacious to say that anything that is possible must at some time occur. If '6' is possible on the die, what will constrain it to eventually come up when thrown? Mere non-contradiction doesn't imply possibility either.
10. Modality / E. Possible worlds / 3. Transworld Objects / a. Transworld identity
The limits of change for an individual depend on the kind of individual [Simons]
     Full Idea: What determines the limits of admissible change and secures the identity of a continuant is a matter of the kind of object in question.
     From: Peter Simons (Parts [1987], 9.6)
     A reaction: This gives some motivation for the sortal view of essence, which I find hard to take. However, if my statue were pulverised it would make good compost.