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I hope I may claim in the present work to have made it probable that the laws of arithmetic are analytic judgments and consequently a priori. Arithmetic thus becomes simply a development of logic, and every proposition of arithmetic a law of logic, albeit a derivative one. To apply arithmetic in the physical sciences is to bring logic to bear on observed facts; calculation becomes deduction.

— Gottlob Frege

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More quotes by Gottlob Frege

A judgment, for me is not the mere grasping of a thought, but the admission of its truth.

Gottlob Frege (1892)

Every good mathematician is at least half a philosopher, and every good philosopher is at least half a mathematician.

to Frege in: A. A. B. Aspeitia (2000)

Without some affinity in human ideas art would certainly be impossible; but it can never be exactly determined how far the intentions of the poet are realized.

Gottlob Frege (1892)

A philosopher who has no connection to geometry is only half a philosopher, and a mathematician who has no philosophical vein is only half a mathematician.

Since it is only in the context of a proposition that words have any meaning, our problem becomes this: To define the sense of a proposition in which a number-word occurs.

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