Carroll, Lewis

Carroll, Lewis, Throughthe Looking Glass And What Alice Found There (New York Puffin Books reissue edition, 1996). 

Carrel, Alexis. Man the Unknown. Harper Brothers, New York. 1939. Carroll, Lewis. Alice s Adventures in Wonderland and Through the Looking-Glass. The Macmillan Company, New York. 1962. 

Carroll, Lewis. The Complete Works of Lewis Carroll. The Modern Library, New York. 1936. 

IS. Carroll, Lewie, Bellman in The Hunting of the Snark, p. 11. Peter Pauper Press, Mt. Vernon, N. Y. 

When I lift my gimlet for that first taste, and admire its color—a pale crystal green, like a legendary jewel—I m reminded of Lewis Carroll s Alice and her healthy sense of adventure. When confronted with a bottle with a label that instructed her to down it, she did Alice ventured to taste it, and finding it very nice (it had, in fact, a sort of mixed flavour of cherry-tart, custard, pine-apple, roast turkey, toffee, and hot buttered toast), she very soon finished it off. ... 

Licentia poetica The second Of in the title may be considered by some to be superfluous. It was added only in honor of Lewis Carroll and to be compatible with his use of Iambic meter. 

Figure 1.7 The Mad Hatter s Tea Party. (From Lewis Carroll s Alice in Wonderland.)...

Excessive exposure to inorganic mercury, particularly in its elemental form, creates a psychological condition called erethism. Victims suffer from excessive timidity and self-consciousness, inability to concentrate, loss of memory, and other psychological changes. From at least the seventeenth and well into the nineteenth century, mercury was used to cure felt, and workers exposed during that process could acquire erethism. Lewis Carroll s character the Mad Hatter was no doubt based on the fact that hatters exposed to mercury could in fact go mad. The phrase mad as a hatter was in common use at the time Alice s Adventures in Wonderland was written. 

Lewis Carroll proposed a solution that did not satisfy some of modern scientists. There exists a lot of attempts to improve the problem statement (Eisenberg and Sullivan, 1996 Falk and Samuel-Cahn, 2001 Guy, 1993 Portnoy, 1994) reduction from infinite plane to a bounded set, to a compact symmetric space, etc. But the elimination of paradox destroys the essence of Carroll s problem. If we follow the paradox and try to give a meaning to "points are taken at random on an infinite plane" then we replace cr-additivity of the probability measure by finite-additivity and come to the applied probability theory for finite-additive probabilities. Of course, this theory for abstract probability spaces would be too poor, and some additional geometric and algebraic structures are necessary to build rich enough theory. 

Lewis Carroll s Pillow Problem 58 (Carroll, 1958) "Three points are taken at random on an infinite plane. Find the chance of their being the vertices of an... 

Carroll, L. (Dodgson C. L.)., Mathematical Recreations of Lewis Carroll Pillow Problems and a Tangled Tale. Dover (1958). 

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