The claim conflates probability-1 convergence with rational obligation: almost-sure events in measure theory need not ground practical rational requirements, as Cain's objection to dominance reasoning in infinite decision theory demonstrates.
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Measure theory(the mathematical framework being discussed)
A branch of mathematics that deals with measuring the size or probability of sets of numbers, used to handle infinity and continuous quantities precisely.
Probability-1 convergence(describing a type of mathematical certainty)
A mathematical concept meaning something happens with absolute certainty (probability of 100%) according to the rules of statistics and measure theory.
Rational obligation(describing what reason demands of us)
Something you are logically required or duty-bound to do based on reason and good decision-making.
dominance reasoning(game theory)
A form of iterative reasoning in game theory where players eliminate dominated actions from consideration, which may reduce the game and render further moves dominated