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A recent article: Joseph Howlett ''The Man Who Stole Infinity'', Quanta Magazine, Feb. 25, 2026 appeared with the abstract:

Georg Cantor proved that there are different sizes of infinity and changed math forever. A trove of newly unearthed letters shows that it was also an act of plagiarism.

Will history of math be rewritten or it is just hype?

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    $\begingroup$ I vote for closing this question, what do you want that is not already in that article? $\endgroup$ Commented yesterday
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    $\begingroup$ @Mauricio, you seem to be assuming that the article is accurate. It may well be; I have not read it. But Quanta Magazine is notorious for being sensationalist at times. Therefore your assumption is merely a hypothesis (possible a correct one!). That's what the OP is asking about. There could be other reasons to close this question but your objection does not seem to be one of them. $\endgroup$ Commented yesterday
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    $\begingroup$ @MikhailKatz I agree that Quanta is sensationalist. Nevertheless the user should provide a more precise question, citing the article and asking for verification of specific points would be adequate for everybody. We should avoid users just dumping a document and asking "is is true"? $\endgroup$ Commented yesterday
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    $\begingroup$ I read the paper. My opinion on Cantor and Dedekind did not change. But my opinion on Quanta Magazine changed dramatically: I lost all respect to them. $\endgroup$ Commented yesterday
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    $\begingroup$ @Georg Essl: on my opinion, this Quanta publication needs a refutation, and this place is as good as any for this purpose. $\endgroup$ Commented yesterday

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I read the paper. Let me cite it:

"That was the honor code of the time"

Unfortunately nowadays there is no such thing as a "honor code". I would not care what some blogger wrote (btw, the Quanta Magazine paper does not give a working link to what he wrote). Nowadays Internet bloggers cannot resist the temptation of using sensational titles. This has a simple explanation: a blogger's income directly depends on the number of clicks. So even some decent bloggers use this kind of titles.

But until now, Quanta Magazine had all my respect. On my opinion, it ruined its reputation by this article. Mainly by the title and abstract (the paper itself has some interesting contents). The title and abstract is the only thing which "general public" reads (see the comments to the question, for example).

Of course, it is interesting that Dedekind's letter was found and published. But the word "plagiarism" is completely out of place here. I cite the article again:

Cantor proved all these great theorems, but Dedekind was probably the greater mathematician.”

This is the opinion of most mathematicians. During their lifetime, Dedekind had much higher status than Cantor, they were friends, and corresponded, so Dedekind could be generous towards his younger colleague.

Cantor's reputation is NOT based on the theorem on the countability of the set of algebraic numbers, which Dedekind communicated to him. The revolution that he made begins with the discovery that a continuum is not countable, and this discovery is due to him, as far as we know. It matters little that Dedekind proposed a more elegant proof of this.

Another thing is that "general public" tends to promote a cult of the great, and to credit everything to them. Let me cite the article again:

Every branch of science needs a hero,” Ferreirós said. “Chemistry has Lavoisier, mechanics has Newton, relativity has Einstein. There’s always this one, only one. But that’s always a lie.

On the other hand "general public" likes the stories. of "plagiarism": Newton stole the law of gravitation from Hooke and the Newton-Leibniz formula from Gregory. Lobachevski stole the idea from Schweikart, Einstein from Poincare and Hilbert. And so on.

So we have yet another story of this kind.

Remark. I also read the paper of Jose Ferreiros, "On the relations between George Cantor and Richard Dedekind, Historia math. 20 (1993) 343-363, which is linked in the Quanta Magazine article. All facts were known in 1993, and it offers a much more balanced exposition of events. The only new thing which Quanta reports is the actual discovery of two letters of Dedekind, whose contents was reconstructed from other sources long ago anyway.

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    $\begingroup$ Frege plagiarized the Stoics philpapers.org/archive/BOBFPT.pdf) is a recent case about which a non-expert could like to hear expert arguments and opinions... $\endgroup$ Commented yesterday
  • $\begingroup$ There is a story that Newton's "standing on the shoulders of giants" was a dig at Hooke, who was reportedly relatively short. $\endgroup$ Commented yesterday
  • $\begingroup$ @Henry: there is this same story from Hooke's point of view: "If I did not see so far as some others, this was because giants stood on my shoulders". $\endgroup$ Commented 12 hours ago
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    $\begingroup$ I disagree that the word "plagiarism" is out of place. Cantor took Dedekind's proof of the countability of the algebraic numbers almost verbatim from the letter and didn't source it. It was also the (nominally) main theorem of the paper. The other proof was also streamlined by Dedekind, and Cantor again took it without credit. That's plagiarism. What is out of place is saying that Cantor "stole" the concept of infinity from Dedekind. $\endgroup$ Commented 9 hours ago
  • $\begingroup$ For what it's worth, Quanta probably did not deserve all your respect up until this point either. Maybe their coverage of mathematics history has been faultless so far, but there have been some eyebrow-raising hype articles relating to, e.g., quantum computing and string theory, and doubling-down after publication. $\endgroup$ Commented 6 hours ago
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Apart from the obnoxious title, the only serious objection that I see to Howlett's article is that one needs to determine "the citation standards in 1870 mathematics in Germany regarding these details around Cantor and Dedekind". I think Dedekind's reaction to Cantor publishing his result on algebraic numbers in 1874 without acknowledgment suggests that, in fact, Cantor did not live up to such standards. Namely, Dedekind's reaction seems to be one of shock: he stopped communicating with Cantor for several years, and whenever the correspondence resumed, he made sure to keep copies of whatever letters he sent to Cantor (which he did not do previously).

Cantor saw himself (and only himself) as the Heavens' messenger as far as his set theory is concerned, which is probably how he justified such actions to himself. This does not mean that his actions are justifiable by a more objective standard. The discovery of Dedekind's 1873 letter definitively establishing his priority is clearly an event of major historical significance, and not merely a detail completing an already satisfactory picture.

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  • $\begingroup$ I agree with the last paragraph, especially since there were some (e.g. Meschkowski) who explicitly repudiated Dugac's suggestion that Cantor plagiarized Dedekind. $\endgroup$ Commented 2 hours ago

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