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For a third facet, identify every mathematical predicate N with the set T(N) of objects, events, or statements for which N holds true; then asserting the necessity of N for S is equivalent to claiming that T(N) is a superset of T(S), while asserting the sufficiency of S for N is equivalent to claiming that T(S) is a subset of T(N).
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In propositional logic, affirming the consequent (also known as converse error, fallacy of the converse, or confusion of necessity and sufficiency) is a formal fallacy (or an invalid form of argument) that is committed when, in the context of an indicative conditional statement, it is stated that because the consequent is true, therefore the ...
Possibility theory is a mathematical theory for dealing with certain types of uncertainty and is an alternative to probability theory.It uses measures of possibility and necessity between 0 and 1, ranging from impossible to possible and unnecessary to necessary, respectively.
For this reason, or perhaps for their familiarity and simplicity, necessity and possibility are often casually treated as the subject matter of modal logic. Moreover, it is easier to make sense of relativizing necessity, e.g. to legal, physical, nomological , epistemic , and so on, than it is to make sense of relativizing other notions.
The sufficiency principle says that if is a sufficient statistic for , and if in two experiments with data and we have = , then the evidence about given by the two experiments is the same. However, upon further consideration Birnbaum rejected both his conditionality principle and the likelihood principle. [ 4 ]
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