|
14248
|
We could accept the integers as primitive, then use sets to construct the rest [Cohen]
|
|
Full Idea:
A very reasonable position would be to accept the integers as primitive entities and then use sets to form higher entities.
|
|
From:
Paul J. Cohen (Set Theory and the Continuum Hypothesis [1966], 5.4), quoted by Oliver,A/Smiley,T - What are Sets and What are they For?
|
|
A reaction:
I find this very appealing, and the authority of this major mathematician adds support. I would say, though, that the integers are not 'primitive', but pick out (in abstraction) consistent features of the natural world.
|
|
19347
|
Substance needs independence, unity, and stability (for individuation); also it is a subject, for predicates [Perkins]
|
|
Full Idea:
For individuation, substance needs three properties: independence, to separate it from other things; unity, to call it one thing, rather than an aggregate; and permanence or stability over time. Its other role is as subject for predicates.
|
|
From:
Franklin Perkins (Leibniz: Guide for the Perplexed [2007], 3.1)
|
|
A reaction:
Perkins is describing the Aristotelian view, which is taken up by Leibniz. 'Substance' is not a controversial idea, if we see that it only means that the world is full of 'things'. It is an unusual philosopher wholly totally denies that.
|