Combining Philosophers

All the ideas for Rescher,N/Oppenheim,P, Crawford L. Elder and Jeffrey H. Sicha

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9 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
The essence of natural numbers must reflect all the functions they perform [Sicha]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
To know how many, you need a numerical quantifier, as well as equinumerosity [Sicha]
Counting puts an initial segment of a serial ordering 1-1 with some other entities [Sicha]
8. Modes of Existence / B. Properties / 1. Nature of Properties
Properties only have identity in the context of their contraries [Elder]
9. Objects / B. Unity of Objects / 3. Unity Problems / c. Statue and clay
Maybe we should give up the statue [Elder]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
A whole must have one characteristic, an internal relation, and a structure [Rescher/Oppenheim]
9. Objects / D. Essence of Objects / 6. Essence as Unifier
The loss of an essential property means the end of an existence [Elder]
9. Objects / D. Essence of Objects / 9. Essence and Properties
Essential properties by nature occur in clusters or packages [Elder]
Essential properties are bound together, and would be lost together [Elder]