Berkeley and General Mathematical Ideas
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TexteLangue : français Détails de publication : 2010.
Ressources en ligne : Abrégé : In the Principles of human knowledge, Berkeley clearly denies the existence of abstract general ideas. He assumes, however, the existence of general ideas or, more exactly, of determinate ideas with a general meaning. In this way, he explains the generality of certain demonstrations. He chooses the example of the idea of a triangle within a geometrical demonstration. But can he likewise account for algebraic demonstrations and ideas, and in particular for the idea of quantity?
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In the Principles of human knowledge, Berkeley clearly denies the existence of abstract general ideas. He assumes, however, the existence of general ideas or, more exactly, of determinate ideas with a general meaning. In this way, he explains the generality of certain demonstrations. He chooses the example of the idea of a triangle within a geometrical demonstration. But can he likewise account for algebraic demonstrations and ideas, and in particular for the idea of quantity?
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