Aron Bodelsson

The Collatz Conjecture—A New Perspective?

The Collatz Conjecture sets up a simple procedure: given a positive integer \(n\), if it is even divide it by two, \(n/2\) and if it is odd multiply it by three and add one, \(3n + 1\). Repeat this indefinitely. The conjecture states that all sequences of numbers generated by

History as First Science

Is everything history? Well, yes, except for the future; but the future is not an object of science because it cannot be empirically investigated. However, the history of physics is the history of wanting to transcend time.