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Ideas for 'fragments/reports', 'The Fragmentation of Value' and 'Essay Conc Human Understanding (2nd Ed)'

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2 ideas

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Mathematics is just about ideas, so whether circles exist is irrelevant [Locke]
     Full Idea: All the discourses of mathematicians concerning conic sections etc. concern not the existence of any of those figures, but their demonstrations, which depend on their ideas, are the same, whether there be any square or circle existing in the world or no.
     From: John Locke (Essay Conc Human Understanding (2nd Ed) [1694], 4.04.08)
     A reaction: If the full-blown platonic circle really existed, we would have the epistemic problem not only of getting in causal contact with it, but also of knowing whether our idea of it was the correct idea. We can't know that, so we just work with our idea.
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
Every simple idea we ever have brings the idea of unity along with it [Locke]
     Full Idea: Amongst all the ideas we have… there is none more simple, than that of unity, or one… every idea in our understanding, every thought in our minds, brings this idea along with it.
     From: John Locke (Essay Conc Human Understanding (2nd Ed) [1694], 2.16.01)
     A reaction: If every idea we think of necessarily brings another idea along with it, that makes you suspect that the accompanying idea is innate. If I derive the concept of the sun from experience, do I also derive the idea that my concept is a unity?