 | Houston Stewart Chamberlain - 1914 - 554 lapas
...REPUBLIC, 525 B and C, 527 B and DE 145. Hereon cf. especially Whitehead, UNIVERSAL ALGEBRA, 1891 : " Mathematics in its widest signification is the development...formal, necessary, deductive reasoning. . . . The ideal of mathematics should be to erect a calculus to facilitate reasoning in connection with every... | |
 | Robert Édouard Moritz - 1914 - 434 lapas
...SMITH, WB Quoted by Keyser, CJ in Lectures on Science, Philosophy and Art (New York, 1908), p. IS. 122. Mathematics in its widest signification is the development...all types of formal, necessary, deductive reasoning. WHITEHEAD, AN Universal Algebra (Cambridge, 1898), Preface, p. vi. 123. Mathematics in general is fundamentally... | |
 | Ronald Calinger - 1996 - 380 lapas
...necessary conclusions. (Benjamin Peirce)11 The essence of mathematics lies in its freedom. (Cantor)12 Mathematics, in its widest signification, is the development...all types of formal, necessary, deductive reasoning. (Whitehead)13 Logic merely sanctions the conquests of the intuition. (Hadamard)14 You will note that... | |
 | Howard Whitley Eves - 1997 - 370 lapas
...would be to say that it deals with foem, in a very general sense of the term." (EW Hobson, 118) (c) "Mathematics in its widest signification is the development...types of formal, necessary, deductive reasoning." (AN Whitehead, 122) (d) "A mathematical science is any body of propositions which is capable of an... | |
 | I. Grattan-Guinness - 2000 - 716 lapas
...signification' as 'the development of all types of formal, necessary, deductive reasoning', so that 'the sole concern of mathematics is the inference of proposition from proposition' (p. vi). He did not furnish any extended philosophical discussions; but he had obviously not washed... | |
 | W. Mays - 2002 - 272 lapas
...the notion of a mathematical calculus in the very general sense of a deductive system. He tells us : 'Mathematics in its widest signification is the development...types of formal, necessary, deductive reasoning', that its sole concern 'is the inference of proposition from proposition'.2 It is clear that Whitehead... | |
 | Martin Daunton - 2005 - 444 lapas
...project, would provide an even stronger statement about mathematics at the end of the Victorian period: Mathematics in its widest signification is the development...inference of proposition from proposition . . . The ideal of mathematics should be to erect a calculus to facilitate reasoning in connection with every... | |
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Mathematics in its widest signification is the development of all types of formal, necessary, deductive reasoning. 