Sunday, December 6, 2009

Mathematical Fallacies and Paradoxes

This is essentially a history of mathematics, told with an emphasis on paradoxes and disputes that have happened over time in the mathematical world. At some times things are simplified so as to be accessible to the non-mathematical orientated reader, however there is some description that gets pretty full on - so I wonder how successful this book was in that regard.

It turns out, in my opinion, that some paradoxes and fallacies are more fun than others. My favourite from this book probably being

A civil-defence exercise will be held this week. In order to make sure that the civil-defence units are properly prepared, no one will know in advance on what day this exercise will take place.


which has it's counterpart in a man rings his wife and says she will receive an unexpected gift, a gold watch. She knows it will be unexpected, but now she expects a watch, so it can't be a watch... then it is.

these are more logical than mathematical - perhaps a more appropriate one is to define a number as "the lowest number that cannot be defined in less than 19 syllables", however this sentence (which can also define the number) has less than 19 syllables, so it can't be that number! awesome.

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