The cross-cultural Persian group AXIOM OF CHOICE join host Tom Schnabel in an interview to discuss their new release, Unfolding. Formed in l992, Axiom of Choice set out to define a new sound within ...

The Axiom of Choice became one of the most feared and contested ideas in mathematics. It created elegant theorems and nightmares. From Zermelo to Gödel, we explore how brilliant minds wrestled with ...

The Axiom of Choice states that given any collection of sets, it is possible to choose one element from each set. This seems self-evident, but accepting this definition leads to numerous bizarre ...

An argument often given for adopting the Axiom of Choice as an axiom is that it has a lot of obviously true consequences. This looks like a legitimate application of the practice of Inference to the ...

We combine a variety of constructive methods (including forcing, realizability, asymmetric interpretation), to obtain consistency results concerning combinatory logic with extensionality and (forms of ...

A new era is born.