While reading Atten's "On Brouwer" I found a copy of Brouwer's "Consciousness, Philosophy, and Mathematics".

The "law of the excluded middle", the "either this or the contrary" has limited validity, to the point that it can be a fallacy.
Thanks for your attention in this matter.
#brouwer #intuitionism #mathematics #logic #philosophy
Brouwer, L. E. J. "Consciousness, Philosophy, and Mathematics." Proceedings of the Tenth International Congress of Philosophy. Vol. 2. 1949.
http://www.thatmarcusfamily.org/philosophy/Course_Websites/Readings/Brouwer%20-%20Consciousness%20Philosophy%20Mathematics.pdf

When reading about Brouwer's concept of Two-ity and how that's related to the problem of real numbers I had the vague idea that I had seen something similar before ... Peircean Thirdness.

That's not fully correct but it touches a few deep common points. And things that I failed to understand the significance of when reading Susan Haack Deviant Logic. Brower, Peirce, there is a lot to explore.

Other people had similar thoughts.
#SusanHaack #Brouwer #CSPeirce #logic

https://faculty.washington.edu/conormw/Papers/Peirce_Brouwer.pdf

𝗕𝗿𝗼𝘂𝘄𝗲𝗿 𝗲𝗻 𝗩𝗮𝗻 𝗱𝗲 𝗩𝗲𝗹𝗱𝗲 𝘄𝗶𝗻𝗻𝗲𝗻 𝗯𝗿𝗼𝗻𝘀 𝗼𝗽 𝗘𝗞 𝗯𝗲𝗮𝗰𝗵𝘃𝗼𝗹𝗹𝗲𝘆𝗯𝗮𝗹

Alexander Brouwer en Steven van de Velde hebben ten koste van hun landgenoten Stefan Boermans en Yorick de Groot de bronzen medaille gewonnen op het EK beachvolleybal. Brouwer en Van de Velde werkten in de tweede set in Düsseldorf drie matchpoints weg en waren in de beslissende set de sterkste: 11-21...

https://www.rtl.nl/nieuws/sport/artikel/5521578/brouwer-en-van-de-velde-winnen-brons-op-ek-beachvolleybal

#Brouwer #VanDeVelde #EKBeachvolleybal