Abstract
Luitzen Egbertus Jan Brouwer (1881–1966) was a Dutch mathematician well-known for his work in topology and his philosophy and development of “intuitionism” as a novel formof constructive mathematics. (For further information on Brouwer’s life and work cf. the biography by van Dalen, 2012.) Brouwer presented Popper’s papers “On the Theory of Deduction I, II” (Popper, 1948a, c) and “Functional Logic without Axioms or Primitive Rules of Inference” (Popper, 1947d) to the Royal Netherlands Academy of Sciences. They are reproduced in Chapters 4, 5 and 6 of this volume. In these papers Popper proves the non-definability of various negations weaker than intuitionistic negation. Brouwer reacts very positively to Popper’s articles on logic, in particular to his duality constructions and his novel definition of intuitionistic negation. His high estimation of Popper’s work on logic also shows in a letter that Brouwer wrote to Harold Jeffreys on the occasion of Popper’s application for an academic post.
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Binder, D., Piecha, T., Schroeder-Heister, P. (2022). Popper’s Correspondence with Luitzen Egbertus Jan Brouwer. In: Binder, D., Piecha, T., Schroeder-Heister, P. (eds) The Logical Writings of Karl Popper. Trends in Logic, vol 58. Springer, Cham. https://doi.org/10.1007/978-3-030-94926-6_22
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