-“Mathematics is the only good metaphysics” – Lord Kelvin

-“To create a healthy philosophy you should renounce metaphysics but be a good mathematician” – Bertrand Russell (in a lecture, 1935)

-“The notion of infinity is our greatest friend; it is also the greatest enemy of our peace of mind… Weierstrass taught us to believe that we had at last thoroughly tamed and domesticated this unruly element. Such however is not the case; it has broken loose again. Hilbert and Brouwer have set out to tame it once more. For how long? We wonder.” (James Pierpont, Bulletin of the American Mathematical Society, 1928)

“The Great Architect of the Universe now begins to appear as a mathematician” (James Hopwood Jeans)

-“Dr. J. Bronowski among others has pointed out that mathematics, which most of us see as the most factual of all sciences, constitutes the most colossal metaphor imaginable, and must be judged, aesthetically as well as intellectually, in terms of the success of this metaphor” (Norbert Wiener)

-“*Hanc marginis exiguitas non caperet*” – (Pierre Fermat on a margin of Diophantus’ ‘Arithmetica’, claiming he has the proof that x^n + y^n = z^n has no whole number solutions if n>2) [I shall add: I have a marvellous proof of the Riemann Hypothesis, but *hanc Web-Page exiguitas non caperet*…..]

-“The very possibility of mathematical science seems an insoluble contradiction… if… all the propositions which it enunciates may be derived in order by the rules of formal logic, how is that mathematics is not reduced to a giant tautology?” – (Henri Poincare’)

-“Bad statistics can turn mathematics into an opinion”

BRANCHES:

-Calculus

-Logic

–Statistics

-Topology

-Number Theory

–Trigonometry

MATHEMATICIANS:

–George Boole (1815-1864)

–Leopold Kronecker (1823-1891)

-Bernhard Riemann (1826-1866)

-Georg Cantor (1845-1918)

–Gottlob Frege (1848-1925)

-David Hilbert (1862-1943)

-Bertrand Russell (1872-1970)

–L. E. J. Brouwer (1881-1966)

–Norbert Wiener (1894-1964)

-Kurt Gödel (1906-1978)

–G.H Hardy (1877-1947)

–Joseph Bernard Kruskal Jr. (1928-2010)

–Edsger W. Dijkstra (1930-2002)

OTHER:

–History of mathematics