Khinshan Khan Math Research Mr.Rubinstein Lewis Carroll's Concepts Explained Charles Lutwidge Dodgson is best known by his pseudonym ‘Lewis Carroll’, the author of the famous Alice in Wonderland. He was a mathematician, professor, logician and much more. Even though his books like Alice in Wonderland showed new, radical at the time concepts, he was a conservative and firm believer of the original Euclidean ways. However, he does touch on some topics that are interesting even [approximately] a century and a half later, for example, he had [most likely] worked out Zeno’s Paradox, and continued on to making his own based around a race between Achilles and a Tortoise. His book Alice in Wonderland lightly touches on topics like proportions, symbolic logic, and bases. And he publishes in the February monthly packet of 1880 a riddle. …show more content…
Carroll shows the controversy with his famous riddle of what the Tortoise asked Achilles after he had caught up: “So you’ve got to the end of our race-course?” said the Tortoise. “Even though it does consist of an infinite series of distances? I thought some wiseacre or other had proved that the thing couldn’t be done?” “It can be done,” said Achilles. “It has been done! Solvitur ambulando [It has been solved by walking]. You see the distances were constantly diminishing; and so–” “But if they had been constantly increasing?” The Tortoise interrupted. This riddle is actually actually more complicated than it seems. It hits 2 birds with one stone. It’s premised on Zeno’s paradox and then it requires the mathematician to figure whether or not Achilles can complete