With a surprising new proof, two young mathematicians have found a bridge across the finite-infinite divide, helping at the same time to map this strange boundary. The boundary does not pass between ...

While the concept of infinity may seem mysterious, mathematicians have developed processes to reason the strange properties of infinity. Mathematician Emily Riehl has been challenged to explain ...

What largeness and structural assumptions on A ⊆ [ℝ]ω can guarantee the existence of a non-empty perfect set P ⊆ ℝ such that [P]ω ⊆ A? Such a set P is called A-homogeneous. We show that even if A is ...

Adrian Moore continues his exploration of two and a half millennia of philosophical thought on infinity. Discover the brilliant but tortured German mathematician, Georg Cantor, who devised a way of ...