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" "Ein Philosoph, der keine Beziehung zur Geometrie hat, ist nur ein halber Philosoph, und ein Mathematiker, der keine philosophische Ader hat, ist nur ein halber Mathematiker.
Friedrich Ludwig Gottlob Frege (8 November 1848 – 26 July 1925) was a German mathematician, logician and philosopher considered to be one of the founders of modern logic. He made major contributions to the foundations of mathematics.
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Is it always permissible to speak of the extension of a concept, of a class? And if not, how do we recognize the exceptional cases? Can we always infer from the extension of one concept's coinciding with that of a second, that every object which falls under the first concept also falls under the second?
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