This article is an enhanced version of my previous work, "Introduction to Dimensional Symbol Number Theory: What is the 'a;b' Notation That Crosses the Wall of Infinity?". In the introductory article, ...
Mathematical theorems are mysterious entities. In the mathematics we learn at school, we accept facts such as “the sum of the interior angles of a triangle is 180 degrees,” “there are infinitely many ...
A week after OpenAI made headlines with an A.I.-generated proof, a new “declaration” by 16 experts raises concerns that the technology threatens math as a discipline. By Siobhan Roberts Recently there ...
A transfinite type theory with type variables, (Studies in logic and the foundations of mathematics)
Keep the news in the Wayback Machine. Sign Fight for the Future's letter. Please Don't Scroll Past This Can you chip in? The Internet Archive partners with libraries, archives, and institutions across ...
(1) MANY attempts are now being made to formulate a system of geometry suitable to the immature minds of schoolboys, which will on one hand develop their reasoning faculties by some kind of logical ...
Descriptive set theorists study the niche mathematics of infinity. Now, they’ve shown that their problems can be rewritten in the concrete language of algorithms. All of modern mathematics is built on ...
For the past several years, America has been using its young people as lab rats in a sweeping, if not exactly thought-out, education experiment. Schools across the country have been lowering standards ...
It might have escaped lay people at the time, but for some observers the ascension of Leo XIV as head of the Catholic Church this year was a reminder that the last time a Pope Leo sat in St. Peter’s ...
Is the pope a mathematician? Yes, actually – and his training may help him grapple with the infinite
Humans are finite creatures. Our brains have a finite number of neurons and we interact with a finite number of people during our finite lifetime. Yet humans have the remarkable ability to conceive of ...
Some results have been hidden because they may be inaccessible to you
Show inaccessible results