Combining Texts

All the ideas for 'The iterative conception of Set', 'Human Freedom and Divine choice' and 'On 'Generation and Corruption''

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3 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII

18192	Do the Replacement Axioms exceed the iterative conception of sets? [Boolos, by Maddy]
	Full Idea: For Boolos, the Replacement Axioms go beyond the iterative conception.
	From: report of George Boolos (The iterative conception of Set [1971]) by Penelope Maddy - Naturalism in Mathematics I.3

8. Modes of Existence / B. Properties / 9. Qualities

16705	Whiteness isn't created in an alteration, because it is just this-being-white [Oresme]
	Full Idea: If it is said that whiteness begins to be through alteration, this does not hold, because whiteness is nothing other than this-being-white.
	From: Nicole Oresme (On 'Generation and Corruption' [1349], I.2), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 19.3
	A reaction: This innocent-looking remark is dynamite, because it rejects the separability of qualities, which threatens the doctrine of Transubstantiation.

9. Objects / D. Essence of Objects / 7. Essence and Necessity / a. Essence as necessary properties

13083	The essence is the necessary properties, and the concept includes what is contingent [Leibniz]
	Full Idea: Of the essence of a particular thing is what pertains to it necessarily and perpetually; of the concept of an individual thing on the other hand is what pertains to it contingently or per accidens.
	From: Gottfried Leibniz (Human Freedom and Divine choice [1690], Grua 383), quoted by Cover,J/O'Leary-Hawthorne,J - Substance and Individuation in Leibniz 3.3.1
	A reaction: This arbitrates on the apparent conflict between his remarks in Idea 13077 and Idea 10382. There seems to be a distinction between the 'concept' of a thing, and the 'complete concept', the latter including the contingent properties.