“The second Definition. Number is that which expresseth the quantitie of each thing.”
Disme: the Art of Tenths, Or, Decimall Arithmetike (1608)
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Simon Stevin11
Flemish scientist, mathematician and military engineer 1548–1620Related quotes
Omar Khayyám (1048–1131) Persian poet, philosopher, mathematician, and astronomer
Treatise on Demonstration of Problems of Algebra (1070).
Context: By the help of God and with His precious assistance, I say that Algebra is a scientific art. The objects with which it deals are absolute numbers and measurable quantities which, though themselves unknown, are related to "things" which are known, whereby the determination of the unknown quantities is possible. Such a thing is either a quantity or a unique relation, which is only determined by careful examination. What one searches for in the algebraic art are the relations which lead from the known to the unknown, to discover which is the object of Algebra as stated above. The perfection of this art consists in knowledge of the scientific method by which one determines numerical and geometric unknowns.
Gregory Bateson (1904–1980) English anthropologist, social scientist, linguist, visual anthropologist, semiotician and cyberneticist
Bateson (1978) " Number is Different from Quantity http://www.oikos.org/batesnumber.htm". In: CoEvolution Quarterly, Spring 1978, pp. 44-46
Leonhard Euler (1707–1783) Swiss mathematician
§4
Introduction to the Analysis of the Infinite (1748)
“Number is different from quantity.”
Gregory Bateson (1904–1980) English anthropologist, social scientist, linguist, visual anthropologist, semiotician and cyberneticist
Source: Mind and Nature, a necessary unity, 1988, p. 118
George Holmes Howison (1834–1916) American philosopher
"The Departments of Mathematics, and their Mutual Relations," Journal of Speculative Philosophy, Vol. 5, p. 164. Reported in Moritz (1914)
Journals
“It is not of the essence of mathematics to be conversant with the ideas of number and quantity.”
George Boole (1815–1864) English mathematician, philosopher and logician
Source: 1850s, An Investigation of the Laws of Thought (1854), p. 12; Cited in: Alexander Bain (1870) Logic, p. 191
Simon Stevin (1548–1620) Flemish scientist, mathematician and military engineer
Disme: the Art of Tenths, Or, Decimall Arithmetike (1608)
Hermann Bondi (1919–2005) British mathematician and cosmologist
Hermann Bondi (1980), Relativity and Common Sense: A New Approach to Einstein, p. 65