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21416 | Philosophers should not offer multiple proofs - suggesting the weakness of each of them [Kant] |
Full Idea: It is a highly unphilosophic expedient to resort to a number of proofs for one and the same proposition, consoling oneself that the multitude of reasons makes up for the inadequacy of any one of them taken by itself. | |
From: Immanuel Kant (Metaphysics of Morals II:Doctrine of Virtue [1797], 403 Intro XIII) | |
A reaction: This makes philosophical proofs sound very mathematical in character, whereas I think most reasons for a proposition given in philosophy are more like evidence, which can clearly accumulate in a rational way. Some maths proofs are better than others. |
3603 | Methodical thinking is cautious, analytical, systematic, and panoramic [Descartes, by PG] |
Full Idea: Descartes' four principles for his method of thinking are: be cautious, analyse the problem, be systematic from simple to complex, and keep an overview of the problem | |
From: report of René Descartes (A Discourse on Method [1637], §2.18) by PG - Db (ideas) |