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Single Idea 14604

[filed under theme 6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics ]

Full Idea

Science represents our best systematic understanding of the world, and if a certain notion proves unneeded in our best attempt at that, this provides strong evidence that what this notion concerns is not ontologically basic.

Gist of Idea

If a notion is ontologically basic, it should be needed in our best attempt at science

Source

Jonathan Schaffer (Causation and Laws of Nature [2008], 3.2)

Book Ref

'Contemporary Debates in Metaphysics', ed/tr. Sider/Hawthorne/Zimmerman [Blackwell 2008], p.92


A Reaction

But is the objective of science to find out what is 'ontologically basic'? If scientists can't get a purchase on a question, they have no interest in it. What are electrons made of?


The 8 ideas from 'Causation and Laws of Nature'

Three types of reduction: Theoretical (of terms), Definitional (of concepts), Ontological (of reality) [Schaffer,J]
Analysis aims at secure necessary and sufficient conditions [Schaffer,J]
Individuation aims to count entities, by saying when there is one [Schaffer,J]
'Reification' occurs if we mistake a concept for a thing [Schaffer,J]
If a notion is ontologically basic, it should be needed in our best attempt at science [Schaffer,J]
Tropes are the same as events [Schaffer,J]
Only ideal conceivability could indicate what is possible [Schaffer,J]
T adds □p→p for reflexivity, and is ideal for modeling lawhood [Schaffer,J]