| Warm-up problem | Try this next | Ask NRICH | Read all about it | Last week's solution | dfg |
For this statement, we need not understand what a 'tove' or 'wabe' is, but we do need to understand the conjunctions (twas, and, in) and how negation affects them. We use De Morgan's Law, which says that for two statements A and B $$ \lnot(A\cap B) = \lnot(A) \cup \lnot(B) $$ So let us denote A as "it was great", and B as "the slithy toves Did gyre and gimble in the wabe". We then see that $\lnot A$ is the statement "it was not great". And $\lnot B$ is the statement "at least one slithy tove did not gyre and gimble in the wabe". Combining these together, we find that: "Either it was not great, or at least one slithy tove did not gyre and gimble in the wabe" |
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