Mathematics for the Million Quotes

“The language of mathematics differs from that of everyday life, because it is essentially a rationally planned language. The languages of size have no place for private sentiment, either of the individual or of the nation. They are international languages like the binomial nomenclature of natural history. In dealing with the immense complexity of his social life man has not yet begun to apply inventiveness to the rational planning of ordinary language when describing different kinds of institutions and human behavior. The language of everyday life is clogged with sentiment, and the science of human nature has not advanced so far that we can describe individual sentiment in a clear way. So constructive thought about human society is hampered by the same conservatism as embarrassed the earlier naturalists. Nowadays people do not differ about what sort of animal is meant by Cimex or Pediculus, because these words are used only by people who use them in one way. They still can and often do mean a lot of different things when they say that a mattress is infested with bugs or lice. The study of a man's social life has not yet brought forth a Linnaeus. So an argument about the 'withering away of the State' may disclose a difference about the use of the dictionary when no real difference about the use of the policeman is involved. Curiously enough, people who are most sensible about the need for planning other social amenities in a reasonable way are often slow to see the need for creating a rational and international language.”
― Lancelot Hogben, Mathematics for the Million: How to Master the Magic of Numbers

“Fig. 148. Cartesian Equation of the Cone Mid-point of base as Origin. The distance (d) between two points (P1 and P2) in 3-dimensional space (Fig. 147) is given by: d2 = (x2 − x1)2 + (y2 − y1)2 + (z2 − z1)2 It is sometimes easier to obtain the Cartesian equation of a figure by first defining it in cylindrical co-ordinates and substituting: y = r sin A; x = r cos A Figs. 148 and 149 disclose the genesis of Cartesian equations which describe the cone and the sphere:”
― Lancelot Hogben, Mathematics for the Million: How to Master the Magic of Numbers