“Besides their possible role in physics, the octonions are important because they tie together some algebraic structures that otherwise appear as isolated and inexplicable exceptions.”
The octonions, Bull. Amer. Math. Soc., 39, 145–205, 2002 http://doi.org/10.1090/S0273-0979-01-00934-X, (p. 147)
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John C. Baez 4
American mathematician and mathematical physicist 1961Related quotes
Source: Mathematical Thought from Ancient to Modern Times (1972), p. 427

On the Uses and Transformations of Linear Algebra (1875)
Context: Some definite interpretation of a linear algebra would, at first sight, appear indispensable to its successful application. But on the contrary, it is a singular fact, and one quite consonant with the principles of sound logic, that its first and general use is mostly to be expected from its want of significance. The interpretation is a trammel to the use. Symbols are essential to comprehensive argument.

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2000s
Robert Rosen. "Anticipatory systems in retrospect and prospect," in: General Systems, Vol. 24 (1979), p. 12; AS cited in: Nadin, Mihai. " Anticipation and dynamics: Rosen's anticipation in the perspective of time http://www.nadin.ws/archives/966." International journal of general systems. 39.1 (2010): 3-33.

Speech at the National Press Club (2004)

“The first epoch-making algebra to appear in print was the Ars Magna of Cardan”
Source: History of Mathematics (1925) Vol.2, p.384
Context: The first epoch-making algebra to appear in print was the Ars Magna of Cardan (1545). This was devoted primarily to the solution of algebraic equations. It contained the solution of the cubic and biquadratic equations, made use of complex numbers, and in general may be said to have been the first step toward modern algebra.


“Liberty is the possibility of isolation.”
Ibid., p. 246
The Book of Disquiet
Original: A liberdade é a possibilidade do isolamento.