It requires boys to come non-STEM fields, also.

b) If the state of the mind changes due to observation, this only creates new information if it also changes the state of the world implicitly. That means it is not disjoint from the state of the world.

a) If the mind's state is a deterministic function of the world, there is no stochasticity, and there is no new uncertainty and hence no new information. So new information requires the mind is stochastic.

Let's treat the state of the mind and the state of the world as random variables. Information is only created through new stochastic events, which alter these states. (Why? If an observer had full information, it not having full information later requires that something unknown happened.)

I see the statement being true requires either a) the mind is deterministic or b) not part of the world.

Can't tell whether this is trivial or ingenious.

That enemy box metaphor explains it well.

Sind die Beeren noch gefroren?

Ja, denn zwei Zahlen sind nur ungleich wenn eine dritte dazwischen passt. Zwischen 0.999... und 1.0 passt aber nix.

the hobbit is great for that age. totally appropriate. my sons both loved it then.

lotr can wait a few more years…