|Omniscience: the ability to know all statements. - Logical problem even the understanding of a logically true statement could could cause the requirement, that all logical consequences are known. E.g. Knowing the calculation rules would logically require that all the results are known.|
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Knowledge / implication / Nozick: if knowledge of something involves the knowledge of it implied,then we know* almost nothing - you can not know all the implications - when the knowledge of the implications is needed, then knowledge is closed under implication - this is the position of the skepticism - anti-skepticism: knowledge is not closed under (known) implication: you do not need to know^ all the implications - but we know a lot - among other things, we know that we are not in a tank.
Philosophical Explanations Oxford 1981
The Nature of Rationality 1994