Is Maxwell's demon "governed by natural law" (https://fqxi.org/community/articles/display/234)?:
1. The universe runs on "fundamental level" information:
Fundamental-level information in the universe seems to exist as natural categories e.g. mass, position and velocity (speed and direction). And information also seems to exist as the numbers that apply to these categories.
2. Maxwell's demon acquires "higher level", algorithmic information:
IF the number representing the particle speed is greater than a cut-off number, AND IF the numbers representing the particle's extrapolated direction positions the particle within the set of numbers representing the chamber door plane (THEN the demon acts to open the chamber door, letting the particle through).
3. The information that Maxwell's demon acquires is the type of higher-level algorithmic information that living things acquire. This highly-structured higher-level information is not a logical consequence of fundamental-level information; however, higher-level information is necessarily built on top of fundamental-level information.
4. But these higher-level true-or-false conditions are information that has no reason to exist unless it provides the basis for "higher-level outcomes": opening the chamber door was not a logical consequence of laws of nature because laws of nature do not operate on true-or-false conditions; also, opening the chamber door was not a logical consequence of the true-or-false conditions.
5. Maxwell's demon is not "governed by natural law".