Combining Philosophers

All the ideas for Archimedes, Antoine Arnauld and Stephen R. Grimm

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5 ideas

4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
No one can conceive of a possible substance, apart from those which God has created [Arnauld]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
11. Knowledge Aims / A. Knowledge / 2. Understanding
'Grasping' a structure seems to be modal, because we must anticipate its behaviour [Grimm]
Unlike knowledge, you can achieve understanding through luck [Grimm]
You may have 'weak' understanding, if by luck you can answer a set of 'why questions' [Grimm]