Arthur Schopenhauer book The World as Will and Representation
Volume I, Book I http://books.google.com/books?id=US0bhPS4h2UC&pg=PA79 <br class="br">The World as Will and Representation (1819; 1844; 1859)
"The Departments of Mathematics, and their Mutual Relations," Journal of Speculative Philosophy, Vol. 5, p. 164. Reported in Moritz (1914)
Journals
Arthur Schopenhauer book The World as Will and Representation
Volume I, Book I http://books.google.com/books?id=US0bhPS4h2UC&pg=PA79 <br class="br">The World as Will and Representation (1819; 1844; 1859)
James Joseph Sylvester (1814–1897) English mathematician
Reported in: Memorabilia Mathematica by Robert Edouard Moritz, quote #129.
James Martin (author) (1933–2013) British information technology consultant and writer
James Martin (1993, p. 17) as cited in: " CIS330 Object Oriented Approach Ch2 http://webcadnet.blogspot.nl/2011/04/cis330-object-oriented-approach-text_3598.html" webcadnet.blogspot.nl. 2011/04/16
Werner Heisenberg (1901–1976) German theoretical physicist
Das Naturgesetz und die Struktur der Materie (1967), as translated in Natural Law and the Structure of Matter (1981), p. 34
Gottlob Frege (1848–1925) mathematician, logician, philosopher
Vol. 2, p. 127. Replying to Bertrand Russell's letter about Russell's Paradox; quoted in The Stanford Encyclopedia of Philosophy http://plato.stanford.edu/entries/russell-paradox/ <br class="br">Grundgesetze der Arithmetik, 1893 and 1903
Leonhard Euler (1707–1783) Swiss mathematician
As quoted in Fundamentals of Teaching Mathematics at University Level (2000) by Benjamin Baumslag, p. 214
Richard Hamming (1915–1998) American mathematician and information theorist
Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)
“Mathematics, under this definition, belongs to every enquiry, moral as well as physical.”
Benjamin Peirce Linear Associative Algebra
§ 1.
Linear Associative Algebra (1882)
Context: The sphere of mathematics is here extended, in accordance with the derivation of its name, to all demonstrative research, so as to include all knowledge strictly capable of dogmatic teaching. Mathematics is not the discoverer of laws, for it is not induction; neither is it the framer of theories, for it is not hypothesis; but it is the judge over both, and it is the arbiter to which each must refer its claims; and neither law can rule nor theory explain without the sanction of mathematics. It deduces from a law all its consequences, and develops them into the suitable form for comparison with observation, and thereby measures the strength of the argument from observation in favor of a proposed law or of a proposed form of application of a law.
Mathematics, under this definition, belongs to every enquiry, moral as well as physical. Even the rules of logic, by which it is rigidly bound, could not be deduced without its aid. The laws of argument admit of simple statement, but they must be curiously transposed before they can be applied to the living speech and verified by, observation.
Isaac Asimov (1920–1992) American writer and professor of biochemistry at Boston University, known for his works of science fiction …
"Thinking About Thinking" in Magazine of Fantasy and Science Fiction, January 1975
General sources
John R. Commons (1862–1945) United States institutional economist and labor historian
Source: Legal foundations of capitalism. 1924, p. 1; Lead paragraph first chapter on Mechanism, Scarcity, Working Rules