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The Mathematician Who Tried to Persuade the Catholic Church of Two Infinities

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Last updated: November 5, 2025 5:03 am
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The Mathematician Who Tried to Persuade the Catholic Church of Two Infinities
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It may need escaped lay individuals on the time, however for some observers the ascension of Leo XIV as head of the Catholic Church this yr was a reminder that the final time a Pope Leo sat in St. Peter’s Chair within the Vatican, from 1878 to 1903, the fashionable view of infinity was born. Georg Cantor’s fully unique “naïve” set concept precipitated each revolution and revolt in mathematical circles, with some embracing his concepts and others rejecting them.

Cantor was deeply disenchanted with the adverse reactions, in fact, however by no means together with his personal concepts. Why? As a result of he held agency to the idea that he had a major line to absolutely the—that his concepts got here direct from l’mind divino (the divine mind). And, just like the Blues Brothers Jake and Elwood, that he was on a mission from God. So when he soured on the mathematical neighborhood in 1883, he sought new audiences in Pope Leo XIII’s Catholic Church.

This was throughout Cantor’s later years, a time throughout which his thoughts grew to become fouled. He developed what I name an Isaac Newton advanced: a loathsome and pathological hatred for publishing that’s knowledgeable by the paranoid certainty that your contemporaries are out to sabotage you. Both they’re a bunch of backstabbing haters unaware of your work, or, far worse, they’re jealous of your genius and selfishly despise you due to it. (Newton himself swore off publishing for years due to criticism of his early work.)

“My very own inclinations don’t urge me to publish,” Cantor wrote in 1887, echoing Newton from two centuries earlier than. “And I gladly go away this exercise to others.”

For the subsequent a number of years, Cantor is more and more centered on new audiences and tries to make inroads with Catholic authorities. The Eighties are a time when the Catholic Church is turning into extra all for scientific discovery than ever earlier than. Leo XIII, who grew to become pope in 1878, takes a particular curiosity in science, particularly cosmology. Science is a method ahead, he claims, and he maintains an astronomical observatory on the Vatican—one whose development he personally oversees. He fills it with the very best fashionable tools and retains skilled astronomers on employees.

Cantor thinks the church has so much to supply and that set concept has so much to supply in return. He desires the Catholic church to turn out to be conscious of his views as a result of set concept is a approach to perceive the infinite nature of the divine—maybe even the thoughts of God, mirrored in math. Isn’t that price contemplating?

It’s a tough promote.

Cantor shares his work with Cardinal Johannes Franzelin of the Vatican Council, one of many main Jesuit theologians of his day. Franzelin writes Cantor a letter on Christmas Day 1885, saying he’s gratified to obtain Cantor’s work. “What tremendously pleases me,” he says, is that it “seems to take not a hostile, however certainly a good place with regard to Christianity and Catholic ideas.” Having stated that, Franzelin provides, Cantor’s concepts most likely couldn’t be defended and “in a sure sense, though the writer doesn’t seem to mean it, would comprise the error of pantheism.”

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