 Defenders of  premise (2)  will claim, very plausibly, that the implication of T that rational belief is not closed under conjunction is completely innocuous. Isn’t it obvious, for example, that it would not be rational for a fallible human being to believe that all of their many beliefs are true, even if each of those beliefs were rational? Others (e.g., Oppy 1994: 151), however, regard the conclusion that rational belief is not closed under conjunction as unacceptable and will for that reason reject premise (2). So even if it can be shown that omni-theism is very probably false, it still won’t be obvious to everyone that it is rationally permissible to be a local atheist about omni-theism and thus it still won’t be obvious to everyone that strong agnosticism about omni-theism is false.