
“Music trains the mind, like mathematics, or logic, to precision of mind.”
Source: Tigana (1990), Chapter 4 (p. 77)
Les Loix du Mouvement et du Repos, déduites d'un Principe Métaphysique (1746)
“Music trains the mind, like mathematics, or logic, to precision of mind.”
Source: Tigana (1990), Chapter 4 (p. 77)
“There is a logic of language and a logic of mathematics.”
The Secular Journal of Thomas Merton (1959)
Context: There is a logic of language and a logic of mathematics. The former is supple and lifelike, it follows our experience. The latter is abstract and rigid, more ideal. The latter is perfectly necessary, perfectly reliable: the former is only sometimes reliable and hardly ever systematic. But the logic of mathematics achieves necessity at the expense of living truth, it is less real than the other, although more certain. It achieves certainty by a flight from the concrete into abstraction. Doubtless, to an idealist, this would seem to be a more perfect reality. I am not an idealist. The logic of the poet — that is, the logic of language or the experience itself — develops the way a living organism grows: it spreads out towards what it loves, and is heliotropic, like a plant.
The Construction of the Wonderful Canon of Logarithms (1889)
Context: From the Radical table completed in this way, you will find with great exactness the logarithms of all sines between radius and the sine 45 degrees; from the arc of 45 degrees doubled, you will find the logarithm of half radius; having obtained all these, you will find the other logarithms. Arrange all these results as described, and you will produce a Table, certainly the most excellent of all Mathematical tables, and prepared for the most important uses.
Source: 1910s, Introduction to Mathematical Philosophy (1919), Ch. 18: Mathematics and Logic
“There is, then, a logical priority about the arrangements, and logic has nothing to do with time.”
Source: Management Science (1968), Chapter 3, Quantified Insight, p. 74.
Source: The Hundred Verses of Advice: Tibetan Buddhist Teachings on What Matters Most
“Without mathematics, we are blind.”
Original French: Hors les mathématiques, nous sommes aveugles.
From Court traité d'ontologie transitoire. Paris: Éditions du Seuil, 1998. ISBN 2020348853.
As quoted in Dictionary of Scientific Biography (1970 - 1990) edited by M Steck.
Source: 1940s - 1950s, Introduction to Operations Research (1957), p. 519: Partly cited in: E. Roy Weintraub (1992) Toward a history of game theory. p. 235