Source: The Number-System of Algebra, (1890), p. 86; Reported in Moritz (1914, 282)
“The concept of 'number' in its most elementary sense as the signless integer appears to be an immediate abstraction from quantitative reality subjected to processes of counting and measurement. Vulgar fractions arise from division of a quantity into equal parts. But in what sense is zero a number? Are there negative numbers? Are there numbers corresponding to incommensurable ratios? Each question requires for its solution a fresh exercise of that kind of creative imagination which we call mathematical abstraction.”
100 Years of Mathematics: a Personal Viewpoint (1981)
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George Frederick James Temple 21
British mathematician 1901–1992Related quotes
"Paul Erdős and the Rise of Statistical Thinking in Elementary Number Theory" https://www.youtube.com/watch?v=5cU0g9dI1S8&t=9m40s (July, 2013) Erdős Centennial Conference, Budapest.
Source: Mathematics and the Physical World (1959), p. 51.
Bateson (1978) " Number is Different from Quantity http://www.oikos.org/batesnumber.htm". In: CoEvolution Quarterly, Spring 1978, pp. 44-46
Source: Mathematical Thought from Ancient to Modern Times (1972), p. 252.
As expressed in "The Mathematical Philosophy of Giuseppe Peano" by Hubert C. Kennedy, in Philosophy of Science Vol. 30, No. 3 (July 1963)
Peano axioms
“Number is different from quantity.”
Source: Mind and Nature, a necessary unity, 1988, p. 118