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Comment by igravious | Hacker News Reader

> The real world doesn't follow formal game rules.

Really?

Why not?

Infinite state/belief/world space. Infinite action space. It's not so much that there aren't rules (there are - physics), it's that the complexity of the full set of rules is exponential or super-exponential.

You can do math with continuous and infinite dimensional spaces.

And? This does not address my argument that the complexity is beyond-combinatorially explosive (infinite spaces). I'm not talking about the space of possible board states. I'm talking about merely the set of all possible actions.

EDIT: clarified my language to address below reply.

...and it's possible to train learning agents to sense and interact with a world described by high dimensional continuous vector spaces, for instance using conv nets (for sensing audio / video signals) and actor-critic to learn an continuous policy:

http://arxiv.org/abs/1509.02971

The fact that the (reinforcement) learning problem is hard or not is not directly related to whether the observation and action spaces are discrete or continuous.