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Most of the arts, as painting, sculpture, and music, have emotional appeal to the general public. This is because these arts can be experienced by some one or more of our senses. Such is not true of the art of mathematics; this art can be appreciated only by mathematicians, and to become a mathematician requires a long period of intensive training. The community of mathematicians is similar to an imaginary community of musical composers whose only satisfaction is obtained by the interchange among themselves of the musical scores they compose.
In H. Eves, Mathematical Circles Squared, Boston: Prindle, Weber and Schmidt, 1972.
Galileo's Siderius Nuncius
This is the title page of the Siderius Nuncius (Starry Messenger) of Galileo (1564-1642), published in 1610. The page reads, "The Starry Messenger, Revealing great, unusual, and remarkable spectacles, opening these to the consideration of every man, and especially of philosophers and astronomers; as observed by Galileo Galilei, Gentleman of Florence, Professor of Mathematics in the University of Padua, with the aid of a spyglass, lately invented by him, In the surface of the Moon, in innumerable Fixed Stars, in Nebulae, and above all in four planets swiftly revolving about Jupiter at differing distances and periods, and known to no one before the author recently perceived them and decided that they should be named The Medicean Stars." This book was a report on Galileo's first investigations with a telescope, although the telescope was certainly not "invented" by him. The discussion of the moons of Jupiter was influential in gaining acceptance for the Copernican theory of the solar system.
This page gives Galileo's initial sketches of the surface of the moon, with various craters, and the line between darkness and light clearly visible.