Euclid's Elements as a Game

"If video games had been around in 350 BC, Euclid would have made a video game," Devlin told me. The thirteen books of Euclid's Elements would have been the supplemental material, a PDF file that you could read if you wanted to. "People think I'm joking—I absolutely mean that. Euclid would not have written a textbook, he would have designed a video game." Peek at any of his proofs, Devlin said, and you'll quickly find that the great Greek mathematician, often called the father of geometry, ...

 Geometry Sets the Mind Right

Geometry enlightens the intellect and sets one's mind right. All its proofs are very clear and orderly. It is hardly possible for errors to enter into geometrical reasoning, because it is well arranged and orderly. Thus, the mind that constantly applies itself to geometry is not likely to fall into error. In this convenient way, the person who knows geometry acquires intelligence. It has been assumed that the followmg statement was written Upon Plato's door: 'No one who is not a geometrician ...

 Science and Education Feed One Another

The progress of the sciences secures the progress of the art of instruction, which again accelerates in its turn that of the sciences; and this reciprocal influence, the action of which is incessantly increased, must be ranked in the number of the most prolific and powerful causes of the improvement of the human race. At present, a young man, upon finishing his studies and quitting our schools, may know more of the principles of mathematics than Newton acquired by profound study, or discovere...

 Greeks and Romans Lacked the Virtue of Doubt

The Greek and Roman antiquarians, and even their literati and philosophers, are chargeable with a total neglect of that spirit of doubt which subjects to a rigorous investigation both sacts, and the proofs that establish them. In reading their accounts of the history of events or of manners, of the productions and phenomena of nature, or of the works and processes of the arts, we are astonished at the composure with which they relate the most palpable absurdities, and the most fulsome and dis...

 Knowledge Increases

The progress of the sciences secures the progress of the art of instruction, which again accelerates in its turn that of the sciences; and this reciprocal influence, the action of which is incessantly increased, must be ranked in the number of the most prolific and powerful causes of the improvement of the human race. At present, a young man, upon finishing his studies and quitting our schools, may know more of the principles of mathematics than Newton acquired by profound study, or discovere...