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2 ideas
19091 | Seeing reality mathematically makes it an object of thought, not of experience [Macbeth] |
Full Idea: As mathematically understood, the world is not an object of experience but instead an object of thought. | |
From: Danielle Macbeth (Pragmatism and Objective Truth [2007], p.183) | |
A reaction: Since I am keen on citing biology to show that science does not have to be mathematical, this nicely shows that there is something wrong with a science which places a large gap between itself and the world. |
21917 | The four explanations: objects by causes, concepts by ground, maths by spacetime, ethics by motive [Schopenhauer, by Lewis,PB] |
Full Idea: There are four forms of explanation, depending on their topic. Causes explain objects. Grounding explains concepts, Points and moments explain mathematics. Motives explain ethics. | |
From: report of Arthur Schopenhauer (Fourfold Root of Princ of Sufficient Reason [1813], §43 p.214) by Peter B. Lewis - Schopenhauer 3 | |
A reaction: [My compression of Lewis's summary. I'm particularly pleased with this. I have done Schopenhauer a huge favour, should anyone ever visit this website]. The quirky account of mathematics derives from Kant. I greatly admire this whole idea. |