#dedekind — Public Fediverse posts

I have the greatest admiration for the theorems and proofs of transfinite set theory, what we've called Cantor's transfinite set theory.

I taught it for years, wrote restatements for my students, and wrote a piece viewing it in the perspective of historical thinking about the infinite.
http://nrs.harvard.edu/urn-3:HUL.InstRepos:3715468

Now I've learned that #Cantor deliberately suppressed the role of #Dedekind in some of his work, particularly the proof that the set of real numbers is larger than the sets of natural and rational numbers. This was the first glimpse of the infinite hierarchy of infinite cardinalities.
https://www.quantamagazine.org/the-man-who-stole-infinity-20260225/

Cantor had the first germ of the proof, so props for that. But Dedekind helped him clarify it and Cantor published the clarified version without credit to Dedekind. I respect the math as much as ever but am now dealing with a serious case of flawed-hero syndrome.

First, make amends. Kudos to Dedekind. Second, give thanks. Kudos to the sleuths who turned up the empirical evidence of Cantor's #plagiarism -- Emmy Noether, Ivor Grattan-Guinness, José Ferreirós, and (decisively) Demian Goos.

Also thanks to Joseph Howlett for the Quanta article summarizing the evidence -- and in passing for calling Leopold #Kronecker an ideologue. Exactly!

#Infinity #Mathematics #SetTheory

The Man Who Stole Infinity, by Joseph Howlett
https://www.quantamagazine.org/the-man-who-stole-infinity-20260225/
Demian Goos finally tracked down Dedekind's copies of letters he sent to Cantor, showing that Cantor on at least two occasions published papers on orders of infinity, based in part on Dedekind's work, without crediting him. The letters had been preserved by Dedekind's heirs, and were made available to Goos by Karin Richter.
#mathematics #infinity #continuum #Cantor #Dedekind

The Man Who Stole Infinity, by Joseph Howlett
https://www.quantamagazine.org/the-man-who-stole-infinity-20260225/
Demian Goos finally tracked down Dedekind's copies of letters he sent to Cantor, showing that Cantor on at least two occasions published papers on orders of infinity, based in part on Dedekind's work, without crediting him. The letters had been preserved by Dedekind's heirs, and were made available to Goos by Karin Richter.
#mathematics #infinity #continuum #Cantor #Dedekind

The Man Who Stole Infinity, by Joseph Howlett
https://www.quantamagazine.org/the-man-who-stole-infinity-20260225/
Demian Goos finally tracked down Dedekind's copies of letters he sent to Cantor, showing that Cantor on at least two occasions published papers on orders of infinity, based in part on Dedekind's work, without crediting him. The letters had been preserved by Dedekind's heirs, and were made available to Goos by Karin Richter.
#mathematics #infinity #continuum #Cantor #Dedekind

The Man Who Stole Infinity, by Joseph Howlett
https://www.quantamagazine.org/the-man-who-stole-infinity-20260225/
Demian Goos finally tracked down Dedekind's copies of letters he sent to Cantor, showing that Cantor on at least two occasions published papers on orders of infinity, based in part on Dedekind's work, without crediting him. The letters had been preserved by Dedekind's heirs, and were made available to Goos by Karin Richter.
#mathematics #infinity #continuum #Cantor #Dedekind

The Man Who Stole Infinity, by Joseph Howlett
https://www.quantamagazine.org/the-man-who-stole-infinity-20260225/
Demian Goos finally tracked down Dedekind's copies of letters he sent to Cantor, showing that Cantor on at least two occasions published papers on orders of infinity, based in part on Dedekind's work, without crediting him. The letters had been preserved by Dedekind's heirs, and were made available to Goos by Karin Richter.
#mathematics #infinity #continuum #Cantor #Dedekind

“How The Square Root Of 2 Became A Number”, Quanta (https://www.quantamagazine.org/how-the-square-root-of-2-became-a-number-20240621/).

On HN: https://news.ycombinator.com/item?id=40750230

#Numbers #IrrationalNumbers #Mathematics #Maths #PythagorasTheorem #Dedekind #Cantor #History #Reals #Irrationals

Now at #ICFCA2023: #Late #Breaking Talk by Christian on《Breaking the Barrier: A Computation of the Ninth #Dedekind Number》#WorldRecord #FCA #Applied #Discrete #Maths https://www.kde.cs.uni-kassel.de/icfca2023/latebreaking.html