Combining Philosophers

Ideas for Charles Parsons, Ashvaghosha and Michael Morris

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6 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
23451 Counting needs to distinguish things, and also needs the concept of a successor in a series [Morris,M]
23460 To count, we must distinguish things, and have a series with successors in it [Morris,M]
17447 Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
23452 Discriminating things for counting implies concepts of identity and distinctness [Morris,M]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
18201 General principles can be obvious in mathematics, but bold speculations in empirical science [Parsons,C]
6. Mathematics / C. Sources of Mathematics / 8. Finitism
13419 If functions are transfinite objects, finitists can have no conception of them [Parsons,C]