Proof c&c
WebMar 7, 2016 · A proof checker helps us verify that we are using sentences and following the rules. If we choose ~B v (~C v D) as the sentence, we can get a proof like the following. This proof shows a way to handle the cases in both of the premises by formally eliminating the "V" connective through subproofs. Consider the two cases in the first premise. Webℵ0 is the cardinality of the set of natural numbers, ℵ0 = N . c is the cardinality of the continuum, i.e. the set of real numbers c = R . I know that P(A) = 2 A. This means that the cardinality of the power set of a set is 2 raised to the power of the cardinality of that set. This basically means that to prove 2ℵ0 = c, I need to ...
Proof c&c
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