Lewis Carroll AUTHOR OF Alice in Wonderland

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Lewis CarrollAUTHOR OF Alice in Wonderland

• Logic with

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Lewis Carroll, the author of Alices
Adventures in Wonderland and Through the Looking
Glass, was actually a mathematics teacher. As
a hobby, Carroll wrote stories that contain
amusing examples of logic. His works reflect
his passion for mathematics! Consider the
following quote from a conversation which
occurred during the Mad Hatters Tea Party
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then you should say what you mean! the March
Hare went on
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I DO, Alice hastily replied at least I MEAN
what I SAY - - thats the same thing, you
know...
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Oh Really? !!! ? ? ? ? ? ? ? ? ? ?
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Not the same thing a BIT! said the Hatter,
Why, you might just as well say that I see
what I eat is the same thing as I eat what I
see!
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You might just as well say, added the March
Hare, that I like what I get is the
same thing as I get what I like!
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You might just as well say, added the Doormouse
who seemed to be talking in his sleep,
that I breathe when I sleep is the same
thing as I sleep when I breathe!
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It is the same thing with you, said the Hatter
and here the conversation dropped and
the party sat silent for a minute.
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(No Transcript)
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Geometry ? Logic ?

PROOFS!
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The Reversibility Test The reverse of a
definition must be true. IF the reverse of a
statement which is being offered is false, THEN
the statement is not a good definition! Example
A 45 degree angle is an acute angle IF an
angle is acute THEN the angle measures 45
degrees FALSE! (Be careful!!!)
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How to write a proof in Geometry.
By Alice I. W. 1. First, gather all
facts and choose a direction. 2. IF You
SAY what you mean to say
and keep on the path you
chose 3. Then You will MEAN
what you said
and not something else!
4. Nowdoesnt THAT make sense?