Every problem that is interesting is also soluble.

Corollary #1

Inherently insoluble problems are inherently boring.

Corollary #2

In the long run, the distinction between what is interesting and what is boring is not a matter of subjective taste but an objective fact.

Corollary #3

The problem of why every problem that is interesting is also soluble, is soluble.

A journey of a thousand miles begins, obviously, with a single step. But isn’t it equally obvious that a step of a single metre must begin with a single millimetre? And before you can begin the last micron of that millimetre, don’t you have to get through 999 other microns first? And so ad infinitum? That “ad infinitum” bit is what worried the philosopher Zeno of Elea. Can our every action really consist of sub-actions each consisting of sub-sub-actions ... so that before we can move at all, we have to perform a literally infinite number of distinct, consecutive actions?