Infinity – Cantor's Archive

Constructivism

R.L. Wilder’s Constructivist Account of Early 20th Century Mathematics

This is the second part of my piece on Raymond Louis Wilder (1896–1982) and his philosophical, historical and anthropological account of mathematics. I suggest that the reader refer back to the introduction to my ‘Raymond L. Wilder’s Anthropology of Mathematics: Platonism and Applied Mathematics’for Wilder’s biographical

Infinity

There are Different Kinds of Infinities

From Brilliance to Madness

Complex Analysis

Beyond Infinity

Analytic Continuation and its Applications in Quantum Physics

Set Theory

When Cantor Taught us to Count

My theory stands as firm as a rock; every arrow directed against it will return quickly to its archer. — Georg Cantor

Infinity

Number Of Numbers: Infinite Weirdness

How many numbers of each type are there? Can two infinities be equal? Can one infinity be larger than another infinity?

Infinity

Hilbert’s Hotel: You’re Missing the Best Bit!

Infinity, enumerating the rationals and elegant solutions to innocuous problems.

Infinity

The Paradox of Infinity

As I finished reading The Fault in Our Stars by John Green, perhaps what stood out the most was the phrase, “Some infinities are bigger…

Infinity

Problems with infinity*

I had the pleasure of witnessing this interaction the other day: two kids were locked in a battle of wits to see who could think of the…