#infinity — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #infinity, aggregated by home.social.
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#Jesus said to give to #Caesar what is Caesar's. When you think about the #temporary nature of the world & the objects in it including your own body then you may come to the same conclusion as #MissKitty. It meant to give Caesar nothing. The only permanence is #infinity. I usually call it #God.
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#CallforPapers for our journal #Artology: Studies in Art
✒️ Scholarly responses, critical reflections, and theoretical engagements with #WJTMitchell’s recently published essay: “Art and Infinity: #AntonyGormley’s Infinite Cube” and/or the broader theme of #Art & #Infinity, as well as submissions for the Open Section
📅 Submissions due by August 30, 2026 for publication in the fall
💎 #DiamondOpenAccess - no APCs
👉🏻 More info here: https://riviste.unimi.it/index.php/artology/announcement/view/1021?mtm_campaign=mastodon
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#MissKittyRaw Since I'm standing in this temporary sandbox don't I want to make the best #sandcastle that I can? Come on, we are standing in the middle of #Infinity! Do you agree? You must end up agreeing eventually because whenever you get to the #TrumanShow wall door you will get there. 🔦🔦🔦
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Ça y est, je commence à m'habituer à la sculpture de
Corvus Belli
et aux armures de Pano. C'est vraiment très réussi et cohérent. Les fiches de conception des unités sont très pratiques pour suivre le schéma officiel ou adapter le sien.
#infinitythegame #wargame #escarmouche #infinity #corvusbelli #Panoceania #nerdlings -
You are the building manager in an infinitely long underground shopping mall. All the store fronts are taken. You receive an offer that you cannot refuse, asking you to make room for one more store. How do you do it?
#hilbertshotel #osaka #namba #japan #shopping #shotengai #infinity #mathematics
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#MissKittyWide Humans struggle with the idea of stillness. Of going in. The #paradox of motionlessness. The paradox of going in to be greater than all of the without. Which direction is north in #Infinity? The most profound version of letting the game come to you. #Sadhana
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A quotation from Douglas Adams
It is known that there are an infinite number of worlds, simply because there is an infinite amount of space for them to be in. However, not every one of them is inhabited. Therefore, there must be a finite number of inhabited worlds. Any finite number divided by infinity is as near to nothing as makes no odds, so the average population of all the planets in the Universe can be said to be zero. From this it follows that the population of the whole Universe is also zero, and that any people you may meet from time to time are merely the products of a deranged imagination.
Douglas Adams (1952-2001) English author, humorist, screenwriter
Hitchhiker’s Guide No. 2, The Restaurant at the End of the Universe, ch. 19 (1980)More about this quote: wist.info/adams-douglas/35143/
#quote #quotes #quotation #qotd #douglasadams #hitchhikersguide #therestaurantattheendoftheuniverse #aliens #existence #imagination #infinity #math #people #reality #solipsism #universe
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A quotation from Douglas Adams
It is known that there are an infinite number of worlds, simply because there is an infinite amount of space for them to be in. However, not every one of them is inhabited. Therefore, there must be a finite number of inhabited worlds. Any finite number divided by infinity is as near to nothing as makes no odds, so the average population of all the planets in the Universe can be said to be zero. From this it follows that the population of the whole Universe is also zero, and that any people you may meet from time to time are merely the products of a deranged imagination.
Douglas Adams (1952-2001) English author, humorist, screenwriter
Hitchhiker’s Guide No. 2, The Restaurant at the End of the Universe, ch. 19 (1980)More about this quote: wist.info/adams-douglas/35143/
#quote #quotes #quotation #qotd #douglasadams #hitchhikersguide #therestaurantattheendoftheuniverse #aliens #existence #imagination #infinity #math #people #reality #solipsism #universe
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A quotation from Douglas Adams
It is known that there are an infinite number of worlds, simply because there is an infinite amount of space for them to be in. However, not every one of them is inhabited. Therefore, there must be a finite number of inhabited worlds. Any finite number divided by infinity is as near to nothing as makes no odds, so the average population of all the planets in the Universe can be said to be zero. From this it follows that the population of the whole Universe is also zero, and that any people you may meet from time to time are merely the products of a deranged imagination.
Douglas Adams (1952-2001) English author, humorist, screenwriter
Hitchhiker’s Guide No. 2, The Restaurant at the End of the Universe, ch. 19 (1980)More about this quote: wist.info/adams-douglas/35143/
#quote #quotes #quotation #qotd #douglasadams #hitchhikersguide #therestaurantattheendoftheuniverse #aliens #existence #imagination #infinity #math #people #reality #solipsism #universe
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A quotation from Douglas Adams
It is known that there are an infinite number of worlds, simply because there is an infinite amount of space for them to be in. However, not every one of them is inhabited. Therefore, there must be a finite number of inhabited worlds. Any finite number divided by infinity is as near to nothing as makes no odds, so the average population of all the planets in the Universe can be said to be zero. From this it follows that the population of the whole Universe is also zero, and that any people you may meet from time to time are merely the products of a deranged imagination.
Douglas Adams (1952-2001) English author, humorist, screenwriter
Hitchhiker’s Guide No. 2, The Restaurant at the End of the Universe, ch. 19 (1980)More about this quote: wist.info/adams-douglas/35143/
#quote #quotes #quotation #qotd #douglasadams #hitchhikersguide #therestaurantattheendoftheuniverse #aliens #existence #imagination #infinity #math #people #reality #solipsism #universe
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A quotation from Douglas Adams
It is known that there are an infinite number of worlds, simply because there is an infinite amount of space for them to be in. However, not every one of them is inhabited. Therefore, there must be a finite number of inhabited worlds. Any finite number divided by infinity is as near to nothing as makes no odds, so the average population of all the planets in the Universe can be said to be zero. From this it follows that the population of the whole Universe is also zero, and that any people you may meet from time to time are merely the products of a deranged imagination.
Douglas Adams (1952-2001) English author, humorist, screenwriter
Hitchhiker’s Guide No. 2, The Restaurant at the End of the Universe, ch. 19 (1980)More about this quote: wist.info/adams-douglas/35143/
#quote #quotes #quotation #qotd #douglasadams #hitchhikersguide #therestaurantattheendoftheuniverse #aliens #existence #imagination #infinity #math #people #reality #solipsism #universe
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What's to worry? #MissKitty is only 17 hours down. LOL. I will repatriate those hours! 😹🤦🏻♀️😹 Booyah! I keep trying to help with #infinity cuz it is that concept that gives me #hope that allows for the #faith which is #seeing #something that is not there yet. That's what faith is. #Manifesting ~Selah~
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RE: https://mastodon.social/@cmconseils/116516075172146575
Meanwhile, in the hospital next door to Escher's picture gallery, Mrs. Escher is about to receive some interesting news...
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“Something that doesn’t actually exist can still be useful”*…
Gregory Barber on ultrafinitism, a philosophy that rejects the infinite. Ultrafinitism has long been dismissed as mathematical heresy, but it is also producing new insights in math and beyond…
Doron Zeilberger is a mathematician who believes that all things come to an end. That just as we are limited beings, so too does nature have boundaries — and therefore so do numbers. Look out the window, and where others see reality as a continuous expanse, flowing inexorably forward from moment to moment, Zeilberger sees a universe that ticks. It is a discrete machine. In the smooth motion of the world around him, he catches the subtle blur of a flip-book.
To Zeilberger, believing in infinity is like believing in God. It’s an alluring idea that flatters our intuitions and helps us make sense of all sorts of phenomena. But the problem is that we cannot truly observe infinity, and so we cannot truly say what it is. Equations define lines that carry on off the chalkboard, but to where? Proofs are littered with suggestive ellipses. These equations and proofs are, according to Zeilberger — a longtime professor at Rutgers University and a famed figure in combinatorics — both “very ugly” and false. It is “completely nonsense,” he said, huffing out each syllable in a husky voice that seemed worn out from making his point.
As a matter of practicality, infinity can be scrubbed out, he contends. “You don’t really need it.” Mathematicians can construct a form of calculus without infinity, for instance, cutting infinitesimal limits out of the picture entirely. Curves might look smooth, but they hide a fine-grit roughness; computers handle math just fine with a finite allowance of digits. (Zeilberger lists his own computer, which he named “Shalosh B. Ekhad,” as a collaborator on his papers.) With infinity eliminated, the only thing lost is mathematics that was “not worth doing at all,” Zeilberger said.
Most mathematicians would say just the opposite — that it’s Zeilberger who spews complete nonsense. Not just because infinity is so useful and so natural to our descriptions of the universe, but because treating sets of numbers (like the integers) as actual, infinite objects is at the very core of mathematics, embedded in its most fundamental rules and assumptions.
At the very least, even if mathematicians don’t want to think about infinity as an actual entity, they acknowledge that sequences, shapes, and other mathematical objects have the potential to grow indefinitely. Two parallel lines can in theory go on forever; another number can always be added to the end of the number line.
Zeilberger disagrees. To him, what matters is not whether something is possible in principle, but whether it is actually feasible. What this means, in practice, is that not only is infinity suspect, but extremely large numbers are as well. Consider “Skewes’ number,” eee79. This is an exceptionally large number, and no one has ever been able to write it out in decimal form. So what can we really say about it? Is it an integer? Is it prime? Can we find such a number anywhere in nature? Could we ever write it down? Perhaps, then, it is not a number at all.
This raises obvious questions, such as where, exactly, we will find the end point. Zeilberger can’t say. Nobody can. Which is the first reason that many dismiss his philosophy, known as ultrafinitism. “When you first pitch the idea of ultrafinitism to somebody, it sounds like quackery — like ‘I think there’s a largest number’ or something,” said Justin Clarke-Doane, a philosopher at Columbia University.
“A lot of mathematicians just find the whole proposal preposterous,” said Joel David Hamkins, a set theorist at the University of Notre Dame. Ultrafinitism is not polite talk at a mathematical society dinner. Few (one might say an ultrafinite number) work on it. Fewer still are card-carrying members, like Zeilberger, willing to shout their views out into the void. That’s not just because ultrafinitism is contrarian, but because it advocates for a mathematics that is fundamentally smaller, one where certain important questions can no longer be asked.
And yet it gives Hamkins and others a good deal to think about. From one angle, ultrafinitism can be seen as a more realistic mathematics. It is math that better reflects the limits of what people can create and verify; it may even better reflect the physical universe. While we might be inclined to think of space and time as eternally expansive and divisible, the ultrafinitist would argue that these are assumptions that science has increasingly brought into question — much as, Zeilberger might say, science brought doubt to God’s doorstep.
“The world that we’re describing needs to be honest through and through,” said Clarke-Doane, who in April 2025 convened a rare gathering of experts to explore ultrafinitist ideas. “If there might only be finitely many things, then we’d better also be using a math that doesn’t just assume that there are infinitely many things at the get-go.” To him, “it sure seems like that should be part of the menu in the philosophy of math.”
For mathematicians to take it seriously, though, ultrafinitists first need to agree on what they’re talking about — to turn arguments that sound like “bluster,” as Hamkins puts it, into an official theory. Mathematics is steeped in formal systems and common frameworks. Ultrafinitism, meanwhile, lacks such structure.
It is one thing to tackle problems piecemeal. It is quite another to rewrite the logical foundations of mathematics itself. “I don’t think the reason ultrafinitism has been dismissed is that people have good arguments against it,” Clarke-Doane said. “The feeling is that, oh, well, it’s hopeless.”
That’s a problem that some ultrafinitists are still trying to address.
Zeilberger, meanwhile, is prepared to abandon mathematical ideals in favor of a mathematics that’s inherently messy — just like the world is. He is less a man of foundational theories than a man of opinions, of which he lists 195 on his website. “I cannot be a tenured professor without doing this crackpot stuff,” he said. But one day, he added, mathematicians will look back and see that this crackpot, like those of yore who questioned gods and superstitions, was right. “Luckily, heretics are no longer burned at the stake.”…
Read on for the history of ultrafinitism, the critical dialogue surrounding it, and its implications: “What Can We Gain by Losing Infinity?” from @gregbarber.bsky.social in @quantamagazine.bsky.social.
* Ian Stewart (whose point was somewhat different from Zeilberger’s :-), Infinity: A Very Short Introduction
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As we engage the endless, we might spare a thought for a man whose work touched on the infinitesimal, Isaac Barrow; he died on this date in 1677. A theologian and mathematician, he played a key role in the development of infinitesimal calculus (in particular, for a proof of the fundamental theorem of calculus). Barrow was the inaugural holder of the prestigious Lucasian Professorship of Mathematics at the University of Cambridge, a post later held by his student, Isaac Newton (who, of course, shares primary credit for the development of calculus with Gottfried Wilhelm Leibniz).
#calculus #culture #DoronZeilberger #GregoryBarber #history #infinitesimalCalculus #infinity #IsaacBarrow #IsaacNewton #Leibniz #Mathematics #philosophy #Science #ultrafinitism -
https://www.europesays.com/it/469461/ i Forrester in partenza per Monte Carlo #Anticipazioni #beautiful #brooke #Canale5 #deacon #DonDiamont #Entertainment #infinity #Intrattenimento #IT #Italia #Italy #JacquelineWood #KatherineKellyLang #LisaYamada #logan #luna #Mediaset #PrincipatoDiMonaco #SeanKanan #Soap #steffy #ThorstenKaye #tv
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The #redshift is reported as this wonderful #synchronicity, serendipity, aren't they so fucking smart. In #infinity, everybody is an absolute #moron or a brilliant #genius. There's no in between. You decide. If you can only go to the edge of your map and then start digging or climbing or ...
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#MissKittyWide Shit's pretty #weird y'all. You start thinking about #infinity and what's #real and what's not and what's #permanent and what's #temporary. Permanent equaling real and temporary equaling #imaginary. And then thinking about two people having the conversation and one person was...
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#MissKittyWide Shit's pretty #weird y'all. You start thinking about #infinity and what's #real and what's not and what's #permanent and what's #temporary. Permanent equaling real and temporary equaling #imaginary. And then thinking about two people having the conversation and one person was...
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#MissKittyWide Shit's pretty #weird y'all. You start thinking about #infinity and what's #real and what's not and what's #permanent and what's #temporary. Permanent equaling real and temporary equaling #imaginary. And then thinking about two people having the conversation and one person was...
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Anunciadas las novedades de Infinity y Warcrow del mes de Mayo
https://powerups.es/anunciadas-las-novedades-de-infinity-y-warcrow-del-mes-de-mayo/
#JuegosDeMesa #Noticias #CorvusBelli #Infinity #InfinityEssentials #Novedades #Warcrow #Wargames
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https://www.europesays.com/es/502570/ piscina infinity, vistas al puerto y lujo absoluto en Ibiza #absoluto #casa #Celebrities #comprado #Entertainment #Entretenimiento #ES #España #Famosos #gorro #Ibiza #infinity #lujo #millones #Piscina #puerto #Spain #tamara #vistas
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кому нужны все эти избыточные рифмы-переклички? 【 Ещё работа перекликается со связками ключей на вентиляторах от Айрис Тулиату, которые можно было увидеть и услышать летом 2021 года в квир-галерее «Фрагмент»: https://fragment.gallery/exhibitions/25-i-hear-your-keys-clinking-tenant-of-culture-paul-barsch-georgia-dickie-aniara/installation_shots/ ⦾ https://eclipse.athensbiennale.org/en/artists/iris-touliatou.html #rhyme #JuanCasemiro #IrisTouliatou #keys #fans #kineticsculpture #infinity #Fragment 】
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Does infinity exist, or is it a tool that mathematics use?
Most people encounter infinity as a symbol ∞ and treat it as shorthand for something very large. In mathematics, this is not what infinity means.https://cosym.org/2026/03/18/does-infinity-exist/?utm_source=mastodon&utm_medium=jetpack_social
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Excited for #JCON EUROPE 2026? See Sharat Chander at #JCON2026 in Cologne talking about 'Java: To #Infinity and Beyond'
As #Java celebrates 30 years of ongoing #innovation, the next 30 years and beyond look even #brighter. To take into …
🎟️ http://2026.europe.jcon.one/tickets
Free for #JUG members -
Excited for #JCON EUROPE 2026? See Sharat Chander at #JCON2026 in Cologne talking about 'Java: To #Infinity and Beyond'
As #Java celebrates 30 years of ongoing #innovation, the next 30 years and beyond look even #brighter. To take into …
🎟️ http://2026.europe.jcon.one/tickets
Free for #JUG members -
Excited for #JCON EUROPE 2026? See Sharat Chander at #JCON2026 in Cologne talking about 'Java: To #Infinity and Beyond'
As #Java celebrates 30 years of ongoing #innovation, the next 30 years and beyond look even #brighter. To take into …
🎟️ http://2026.europe.jcon.one/tickets
Free for #JUG members -
Excited for #JCON EUROPE 2026? See Sharat Chander at #JCON2026 in Cologne talking about 'Java: To #Infinity and Beyond'
As #Java celebrates 30 years of ongoing #innovation, the next 30 years and beyond look even #brighter. To take into …
🎟️ http://2026.europe.jcon.one/tickets
Free for #JUG members -
Excited for #JCON EUROPE 2026? See Sharat Chander at #JCON2026 in Cologne talking about 'Java: To #Infinity and Beyond'
As #Java celebrates 30 years of ongoing #innovation, the next 30 years and beyond look even #brighter. To take into …
🎟️ http://2026.europe.jcon.one/tickets
Free for #JUG members -
I don't have a box. #Infinity. We're going to be talking about that a lot shortly. #Disciplines are #diving #boards into the #truth. They offer no truth themselves.
RE: https://bsky.app/profile/did:plc:au6wklsz57fmdbtvvh63xxiv/post/3mg5ql7cpys2x -
“I am never forget the day I first meet the great Lobachevsky. / In one word he told me secret of success in mathematics: / Plagiarize!”*…
Georg Cantor and Richard DedekindIn an 1874 paper, Georg Cantor proved that there are different sizes of infinity and changed math forever. But as Joseph Howlett reports, a trove of newly unearthed letters shows that it was also an act of plagiarism…
When Demian Goos followed Karin Richter into her office on March 12 of last year, the first thing he noticed was the bust. It sat atop a tall pedestal in the corner of the room, depicting a bald, elderly gentleman with a stoic countenance. Goos saw no trace of the anxious, lonely man who had obsessed him for over a year.
Instead, this was Georg Cantor as history saw him. An intellectual giant: steadfast, strong-willed, determined to bring about a mathematical revolution over the clamorous objections of his peers.
It was here, at the University of Halle in Germany, that Cantor launched his revolution 150 years ago. Here, in 1874, he published one of the most important papers in math’s 4,000-year history. That paper crystallized a concept that had long been viewed as a mathematical malignancy to be shunned at all costs: infinity. It forced mathematicians to question some of their longest-held assumptions, rocking mathematics to its very foundations. And it gave rise to a new field of study that would eventually bring about a rewriting of the entire subject.
Now Goos, a 35-year-old mathematician and journalist, had come to Halle — a five-hour train ride from his home in Mainz — to look at some letters from Cantor’s estate. He’d seen a scan of one and was pretty sure he knew what the others would say. But he wanted to see them in person.
Richter — who, like Cantor, had spent her entire career here, first as a research mathematician and then, after retiring, as a lecturer on the history of mathematics — gestured for Goos to sit. She lifted a thin blue binder from the scattered piles of books and papers on her desk. Inside were dozens of plastic sheet protectors, each one containing an old, handwritten letter.
Goos began flipping through, contemplating the letters with the relish of an archaeologist entering a long-lost tomb. Then he reached a particular page and froze. He struggled to catch his breath.
It wasn’t the handwriting. At this point in his research on Cantor, he’d become accustomed to the strange, nearly indecipherable Gothic script known as kurrentschrift, which Germans used until around 1900.
It wasn’t the signature. He knew that the German mathematician Richard Dedekind had been a key player in Cantor’s quest to understand infinity and solidify math’s foundations, and that the two had exchanged many letters.
It was the date: November 30, 1873.
He’d never seen this letter before. No one had. It was believed to be lost, destroyed in the tumult of World War II or perhaps by Cantor himself.
This was the letter that had the power to rewrite Cantor’s legacy. The letter that proved once and for all that Cantor’s famous 1874 paper, the one that would go on to reshape all of mathematics, had been an act of plagiarism…
The extraordinary story of unearthing this extraordinary story: “The Man Who Stole Infinity,” from @quantamagazine.bsky.social.
See also: “How Can Infinity Come in Many Sizes?“
* Tom Lehrer (not just a glorious songwriter, but also a gifted mathematician), “Lobachevsky” (referring to the mathematician Nikolai Ivanovich Lobachevsky— “not intended as a slur on [Lobachevsky’s] character [but chosen]”solely for prosodic reasons”)
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As we confer credit where credit is due, we might spare a thought for Charles-Jean Étienne Gustave Nicolas, baron de la Vallée Poussin; he died on this date in 1962. A Belgian mathematician, he is best known for proving the prime number theorem (which formalized the intuitive idea that primes become less common as they become larger by precisely quantifying the rate at which this occurs). So great was the contribution that the King of Belgium ennobled him with the title of baron.
#Cantor #culture #DemianGoos #GeorgCantor #history #infinity #KarinRichter #Mathematics #primeNumberTheorem #primeNumbers #RichardDedekind #Science #TomLehrer #ValléePoussin #ValleePoussin -
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:3715468Now 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!
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L’infinito non è un concetto unico: grazie alla teoria degli insiemi, si scopre che esistono infiniti di dimensioni diverse.
Mentre i numeri naturali sono un infinito "numerabile", i numeri reali formano un infinito più grande, "non numerabile", dimostrando che non tutti gli infiniti sono uguali.
https://www.quantamagazine.org/how-can-infinity-come-in-many-sizes-20260223/
#matematica #mathematics #science #scienza #infinito #infinity
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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 -
Our games club in Wood Green, London N22 was buzzing last night again. #warhammer #OldWorld #Infinity #BoltAction #1918 #SipAndPaint
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So we have { 1, 2 } ∈ Fin₁ ⊆ Fin₁ₐ ⊆ Fin₂ ⊆ Fin₃ ⊆ Fin₄ ⊆ Fin₅ ⊆ Fin₆ ⊆ Fin₇
If a set is in Fin₁ then it is considered finite by all the other definitions.
But since the axiom of choice is equivalent to saying every set can be well-ordered, if we accept it VII-finite sets are equinumerous with a finite ordinal and so Fin₇ ⊆ Fin₁ and so the differences between these definitions collapse and ZF becomes ZFC, which is a widely accepted basis for Set Theory.
My consultation with math resources was inspired by a blog post:
https://www.infinitelymore.xyz/p/what-is-the-infinite
#Metamath #ZFC #SetTheory #AxiomOfChoice #FiniteSet #Infinity
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E U P H O R I A 永遠の – 孤独な少女、愛らしい少女
#ambient #electronic #experimental #hypnagogic #infinity #infinityseries #mallsoft #phaserwave #slushwave #space #Chile
CC BY (#CreativeCommons Attribution) #ccmusic
https://noproblematapes.bandcamp.com/album/--83 -
Das ✍️ Gedicht stammt aus dem 📕 Büchlein 🎶 "Worte wie die 🌅 Morgenröte", welches ich einmal geschenkt bekam. Das sind wunderbare 🎵 Wortmelodien mit einem faszinierenden Tiefgang. 🌌
#poetry #Poesie #Wortmelodien #Gedicht #Seele #Seelenwesen #Zukunft #Vergangenheit #Lesen #Buch #Kunst #art #Kultur #culture #hope #Urvertrauen #Natur #nature #beinghuman #dream #dreaming #infinity #Hoffnungsgeschichten #Zauberworte #Traumzeitwirbelsturm #DUBISTdasUNIVERSUM
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Above the hotel is a glowing infinity symbol. The size of countably infinite sets, like all natural numbers {1,2,3, .... ∞ } is denoted by Aleph Nought ℵ0 shown on the two flags.
Each print is printed by hand in indigo, lavendar, mint green and dark navy blue ink on Japanese kozo (or mulberry) paper, 8” x 10” (20.3 cm by 25.4 cm).
#linocut #sciart #mathart #histsci #mathematics #printmaking #HilbertsGrandHotel #DavidHilbert #infinity #paradox 🧵3/3
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für mich heisst das: ich habe ganz konkrete Nachteile bei #Raiffeisen. Zum Beispiel kann ich nicht so einfach weg-wechseln von dem schlimmen #bexio.
(da #Infinity bLink nutzt, müsste ich manuelle Exports machen aus Raiffeisen für die Zahlungsbewegungen)
