Your discovery of the contradiction caused me the greatest surprise and, I would almost say, consternation, since it has shaken the basis on which I intended to build arithmetic.
German philosopher, logician, and mathematician (1848–1925)
He rewrote the rules of logic itself — the first time anyone had done so since Aristotle — and in the process laid the foundation for analytic philosophy. Most of his colleagues ignored him.
Friedrich Ludwig Gottlob Frege was a German philosopher, logician, and mathematician who taught at the University of Jena from 1848 until his death in 1925. His Begriffsschrift developed modern logic, and his Foundations of Arithmetic became the seminal text of the logicist project — the attempt to ground mathematics in pure logic. In papers like "On Sense and Reference" and "The Thought", he argued for Platonism over psychologism, introduced the distinction between two types of meaning, and advanced descriptivism. Michael Dummett later identified Foundations as the moment philosophy took its…
Sourced, dated quotes from Gottlob Frege
Your discovery of the contradiction caused me the greatest surprise and, I would almost say, consternation, since it has shaken the basis on which I intended to build arithmetic.
A scientist can hardly meet with anything more undesirable than to have the foundations give way just as the work is finished. I was put in this position by a letter from Mr.
A judgment, for me is not the mere grasping of a thought, but the admission of its truth.
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.
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.
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