#counterexample — Public Fediverse posts

A 216-Character Counterexample Ends an 87-Year-Old Math Conjecture

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https://1ban.news/jacobian-conjecture-counterexample/

#1ban #jacobian #conjecture #counterexample #science #research

A 216-Character Counterexample Ends an 87-Year-Old Math Conjecture

Follow @1ban_news for daily coverage.

https://1ban.news/jacobian-conjecture-counterexample/

#1ban #jacobian #conjecture #counterexample #science #research

A digestion of the Jacobian conjecture counterexample

https://terrytao.wordpress.com/2026/07/21/a-digestion-of-the-jacobian-conjecture-counterexample/

Comments: https://news.ycombinator.com/item?id=48998362

#HackerNews #JacobianConjecture #Mathematics #Counterexample #TerryTao #Research

A digestion of the Jacobian conjecture counterexample

https://terrytao.wordpress.com/2026/07/21/a-digestion-of-the-jacobian-conjecture-counterexample/

Comments: https://news.ycombinator.com/item?id=48998362

#HackerNews #JacobianConjecture #Mathematics #Counterexample #TerryTao #Research

Apparently somebody posted a #counterexample to the Jacobian conjecture on X last night (found by an LLM). I won’t link that junk site, but somebody added it to Wikipedia already if you care:

https://en.wikipedia.org/wiki/Jacobian_conjecture#Counterexample

Some initial thoughts in a 🧵

Should this person get any academic credit for it? I think “no” or very little, because there is no proof of work. Did this person advance human understanding of math? Little.

#math #LLMs #ai

Apparently somebody posted a #counterexample to the Jacobian conjecture on X last night (found by an LLM). I won’t link that junk site, but somebody added it to Wikipedia already if you care:

https://en.wikipedia.org/wiki/Jacobian_conjecture#Counterexample

Some initial thoughts in a 🧵

Should this person get any academic credit for it? I think “no” or very little, because there is no proof of work. Did this person advance human understanding of math? Little.

#math #LLMs #ai

Claude Fable produced a counterexample to the Jacobian Conjecture

https://xcancel.com/__alpoge__/status/2079028340955197566

Comments: https://news.ycombinator.com/item?id=48973869

#HackerNews #ClaudeFable #JacobianConjecture #counterexample #mathematics #research #innovation

Claude Fable produced a counterexample to the Jacobian Conjecture

https://xcancel.com/__alpoge__/status/2079028340955197566

Comments: https://news.ycombinator.com/item?id=48973869

#HackerNews #ClaudeFable #JacobianConjecture #counterexample #mathematics #research #innovation

RE: https://mastodonapp.uk/@brainsmatter/116643574474947035

#Erdős
#PlanarUnitDistanceProblem
#proof
#conjecture
#counterexample
#maths

A quotation from Douglas Adams

These are life’s little learning experiences. You know what a learning experience is is one of those things that says, “You know that thing you just did? Don’t do that.”

Douglas Adams (1952-2001) English author, humourist, screenwriter
Interview (2001-04-05) by Brendan Buhler, “Man of the Galaxy,” Daily Nexus, University of California, Santa Barbara

More info about this quote: wist.info/adams-douglas/29190/

#quote #quotes #quotation #qotd #douglasadams #counterexample #experience #learn #learning #lesson #prudence #warning #wisdom

"The result demonstrates that “the unknotting number is chaotic and unpredictable and really exciting to study,” she added. The paper is “like waving a flag that says, we don’t understand this.”"

https://www.quantamagazine.org/a-simple-way-to-measure-knots-has-come-unraveled-20250922/

#Mathematics #Knots #Conjectures #CounterExample

"The result demonstrates that “the unknotting number is chaotic and unpredictable and really exciting to study,” she added. The paper is “like waving a flag that says, we don’t understand this.”"

https://www.quantamagazine.org/a-simple-way-to-measure-knots-has-come-unraveled-20250922/

#Mathematics #Knots #Conjectures #CounterExample

5/

A presentation on [2] by Breznau is available at https://www.youtube.com/watch?v=Hr4K5WdV8tI (archived: https://web.archive.org/web/20240107183600/https://www.youtube.com/watch?v=Hr4K5WdV8tI )

where a clear #counterexample (a key finding which does not suffer from uncertainty) is also provided -
to remark how, although #HiddenUncertainty into non-trivial data and models is a frequent issue scientists need to be aware of, important cases exist where core findings are evident and unambiguous:
human-driven #ClimateChange is a key one

(screenshot: https://www.youtube.com/watch?v=Hr4K5WdV8tI&t=134s )

5/

A presentation on [2] by Breznau is available at https://www.youtube.com/watch?v=Hr4K5WdV8tI (archived: https://web.archive.org/web/20240107183600/https://www.youtube.com/watch?v=Hr4K5WdV8tI )

where a clear #counterexample (a key finding which does not suffer from uncertainty) is also provided -
to remark how, although #HiddenUncertainty into non-trivial data and models is a frequent issue scientists need to be aware of, important cases exist where core findings are evident and unambiguous:
human-driven #ClimateChange is a key one

(screenshot: https://www.youtube.com/watch?v=Hr4K5WdV8tI&t=134s )