Buridan's Ass Paradox I wouldn't count this as a paradox, but it is an interesting problem.
If we leave the example scenario as an ass and hay, it opens the door to all kinds of cheap tricks to solve the problem, using the mechanics/determinism of the universe, biology, etc. The same applies to any "practical" scenario; you can always find a fudge somewhere in the reality of the situation.
To avoid that, I like to reduce the problem down to an isolated, logical system. There exists (in conceptual/mathematical space) an entity which is driven to "eat" cells to avoid death. It will always "eat" the cell closest to it, It's placed at a coordinate on a unit grid (i.e. we're agreed that this space is not infinitely divisible, etc) and two identical cells are placed at equal distances from the entity.
The question now becomes about the process by which a) the entity becomes aware of cells (i.e. how it knows they're there, how it calculates the distance, whether and how it stores this knowledge, etc) and b) how it makes the decision to approach a cell.
These processes need to be further refined. For example, the entity could be programmed to approach the first cell that qualifies as being the closest cell (i.e. it keeps an internal database sorted by distance and just chooses the first), but this solution is conditional; it depends on the assumption that the entity is a) programmed and b) programmed in this way.
So I imagine the solution comes subsequent to identifying a situation where the conditions and processes are disconnected from the scenario/situation.
Any thoughts?