Re Georgina Woodward's claims of "emergence":
Physical interactions in the universe always occur in the context of their environments. While the same fundamental variables (like energy, momentum, relative position, time) and the same fundamental law of nature relationships/rules are always there, a different environmental situation is representable as a different set of numbers for the variables in the equations/rules.
So the claim of "emergence" caused by an environmental situation is the claim that a set of numbers causes the "emergence" of something new. In a logical, rule-based system, this is clearly preposterous.
Emergentists always seem to be reluctant to, or unable to, specify exactly what it is that is supposed to emerge.
But in a logical, rule-based system you've got 2 choices: 1. (what we would represent as) a new number assignment (i.e. a new initial-value rule); and 2. (what we would represent as) a new rule, where a new rule is a new category of information (i.e. a new variable). Rules can be represented as equations, algorithms or number assignments.
In a logical rule-based system, the rules do not emerge as an output from the system: the rules are input to the system.
The rules are the basis for the universe-system's logical functioning. But where the rules come from, the source of the rules, is a different issue.