This paper discusses how the infinite set of real numbers between 0 and 1 could be represented by a countably infinite tree structure which would avoid Cantor’s diagonalization argument that the set ...

For thousands of years, philosophers have pondered cardinality: knowing “how many.” Using a series of crude estimates, the ancient Greek mathematician Archimedes worked out the approximate number of ...

ABSTRACT: A 2023 paper discussed how the real numbers between 0 and 1 could be represented by an infinite tree structure called the “infinity tree”, which contains only a countably infinite number of ...