# Alexander the Great Sutton Publishing, Inc., 1997 Wood, Michael.

He once wrote "To isolate mathematics from the practical demands ofthe sciences is to invite the sterility of a cow shut away from the bulls."

Cayley was one of the most prolificmathematicians in history;a list of the branches of mathematics he pioneered willseem like an exaggeration.

## Alexander The GreatPaper instructions:

### Alexander the Great was a great ruler.

(He also showed that the rationals have the same cardinalityas the integers; and that the reals have the same cardinalityas the points of N-space and as the power-set of the integers.)Although there are infinitely many distinct transfinite numbers,Cantor conjectured that , the cardinality ofthe reals, was the second smallest transfinite number.

### Alexander the Great inspired his soldiers to crave more.

He defined equality between cardinal numbers based on theexistence of a bijection, and was the first to demonstrate thatthe real numbers have a higher cardinal number than theintegers.

## Another good example of a conqueror is Alexander the great.

(This was of little use in ocean navigation since a ship's rockingprevents the required delicate observations.)His astronomical discoveries also included sunspots and lunar craters.

## That is why I chose he book Alexander the Great, by J.R.

For his experimental methods and discoveries,his laws of motion, and for (eventually) helpingto spread Copernicus' heliocentrism, Galileo may have beenthe most influential scientist ever; heranks #12 on Hart's list of the Most Influential Persons in History.

## Hamilton does a very good job with the story of Alexander the Great.

He was a great inventor: in addition to being first to conceiveof the pendulum clock, he developed a new type of pump,and the best telescope, thermometer, hydrostatic balance,and cannon sector of his day.