
§4
Introduction to the Analysis of the Infinite (1748)
Source: Mind and Nature, a necessary unity, 1988, p. 118
§4
Introduction to the Analysis of the Infinite (1748)
“It is not of the essence of mathematics to be conversant with the ideas of number and quantity.”
Source: 1850s, An Investigation of the Laws of Thought (1854), p. 12; Cited in: Alexander Bain (1870) Logic, p. 191
“The second Definition. Number is that which expresseth the quantitie of each thing.”
Disme: the Art of Tenths, Or, Decimall Arithmetike (1608)
Bateson (1978) " Number is Different from Quantity http://www.oikos.org/batesnumber.htm". In: CoEvolution Quarterly, Spring 1978, pp. 44-46
Context: Nicomachus of Gerasa: Introduction to Arithmetic (1926), Book I, Chapter VII
Source: Social Amnesia: A Critique of Conformist Psychology from Adler to Laing (1975), p. 61
Source: (1776), Book I, Chapter I
Arithmetica Universalis (1707)
Context: Whereas in Arithmetick Questions are only resolv'd by proceeding from given Quantities to the Quantities sought, Algebra proceeds in a retrograde Order, from the Quantities sought as if they were given, to the Quantities given as if they were sought, to the End that we may some Way or other come to a Conclusion or Æquation, from which one may bring out the Quantity sought. And after this Way the most difficult problems are resolv'd, the Resolutions whereof would be sought in vain from only common Arithmetick. Yet Arithmetick in all its Operations is so subservient to Algebra, as that they seem both but to make one perfect Science of Computing; and therefore I will explain them both together.<!--pp.1-2
100 Years of Mathematics: a Personal Viewpoint (1981)