“That logic, as a science, is susceptible of very wide applications is admitted; but it is equally certain that its ultimate forms and processes are mathematical.”
Source: 1850s, An Investigation of the Laws of Thought (1854), p. 12; Cited in: William Stanley Jevons (1887) The Principles of Science: : A Treatise on Logic and Scientific Method. p. 155
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George Boole39
English mathematician, philosopher and logician 1815–1864Related quotes
Leo Strauss (1899–1973) Classical philosophy specialist and father of neoconservativism
"Why We Remain Jews" (1962)
Context: Science, as the positivist understands it, is susceptible of infinite progress. That you learn in every elementary school today, I believe. Every result of science is provisional and subject to future revision, and this will never change. In other words, fifty thousand years from now there will still be results entirely different from those now, but still subject to revision. Science is susceptible of infinite progress. But how can science be susceptible of infinite progress if its object does not have an inner infinity? The belief admitted by all believers in science today — that science is by its nature essentially progressive, and eternally progressive — implies, without saying it, that being is mysterious. And here is the point where the two lines I have tried to trace do not meet exactly, but where they come within hailing distance. And, I believe, to expect more in a general way, of people in general, would be unreasonable.
Richard Hamming (1915–1998) American mathematician and information theorist
Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)
Bertrand Russell (1872–1970) logician, one of the first analytic philosophers and political activist
Source: 1910s, Introduction to Mathematical Philosophy (1919), Ch. 18: Mathematics and Logic
Herbert Kroemer (1928) Nobel laureate in physics
in his Nobel Lecture http://nobelprize.org/nobel_prizes/physics/laureates/2000/kroemer-lecture.html, Quasi-Electric Fields and Band Offsets: Teaching Electrons New Tricks, 8 December 2000, at Aula Magna, Stockholm University.
George Peacock (1791–1858) Scottish mathematician
Vol. II: On Symbolical Algebra and its Applications to the Geometry of Position (1845) Preface, p. iii
A Treatise on Algebra (1842)
Simon Kuznets (1901–1985) economist
Source: Modern economic growth,(1966), p. 487, as cited in: Peter Temin, Gianni Toniolo (2008) The World Economy between the Wars. p. 7
Albrecht Dürer (1471–1528) German painter, printmaker, mathematician, and theorist
As quoted in Dictionary of Scientific Biography (1970 - 1990) edited by M Steck.
“Pure mathematics is in its way the poetry of logical ideas.”
Albert Einstein (1879–1955) German-born physicist and founder of the theory of relativity
1930s, Obituary for Emmy Noether (1935)
Context: Pure mathematics is, in its way, the poetry of logical ideas. One seeks the most general ideas of operation which will bring together in simple, logical and unified form the largest possible circle of formal relationships. In this effort toward logical beauty spiritual formulas are discovered necessary for the deeper penetration into the laws of nature.
Alan Chalmers book What Is This Thing Called Science?
Introduction, p. xix.
What Is This Thing Called Science? (Third Edition; 1999)