Since Carroll was a mathematician at Christ Church, it has been suggested that there are many references and mathematical concepts in both this story and Through the LookingGlass examples include In chapter 1, "Down the RabbitHole", in the midst of shrinking, Alice waxes philosophic concerning what final size she will end up as, perhaps "going out altogether, like a candle" this pondering reflects the concept of a limit. In chapter 2, "The Pool of Tears", Alice tries to perform multiplication but produces some odd results "Let me see four times five is twelve, and four times six is thirteen, and four times seven isoh dear! I shall never get to twenty at that rate!" This explores the representation of numbers using different bases and positional numeral systems 4 5 12 in base 18 notation, 4 6 13 in base 21 notation, and 4 7 could be 14 in base 24 notation. Continuing this sequence, going up three bases each time, the result will continue to be less than 20 in the corresponding base notation. (After 4 12 19 in Base 39, the product would be 4 13 1A in Base 42, then 1B, 1C, 1D, and so on.) In chapter 7, "A Mad TeaParty", the March Hare, the Hatter, and the Dormouse give several examples in which the semantic value of a sentence A is not the same value of the converse of A (for example, "Why, you might just as well say that I see what I eat is the same thing as I eat what I see!") in logic and mathematics, this is discussing a converse relation. Also in chapter 7,...

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