Something that is proven by logic has only one answer. There are no differing opinions/measurements/data possible. Disagreeing with it is the same as agreeing w

Something that is proven by logic has only one answer. There are no differing opinions/measurements/data possible. Disagreeing with it is the same as agreeing with "true == false". Unless you can find (and proof) a mistake in the proof. I don't think you're "not allowed" to disagree. You just take the consequences of claiming that "true == false". May main point is calling this a dogma seems uncalled for. You can call particular mathematical conventions or notations a dogma if you like, after all those things are based on opinions (see e.g. pi day vs tau day).