
A remarkable life-story
Source: Eclipse of Reason (1947), p. 23.
A remarkable life-story
Source: 1910s, Introduction to Mathematical Philosophy (1919), Ch. 18: Mathematics and Logic
“The fact that all Mathematics is Symbolic Logic is one of the greatest discoveries of our age”
Principles of Mathematics (1903), Ch. I: Definition of Pure Mathematics, p. 5
1900s
Context: The fact that all Mathematics is Symbolic Logic is one of the greatest discoveries of our age; and when this fact has been established, the remainder of the principles of mathematics consists in the analysis of Symbolic Logic itself.
“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.
J. Hanks, trans. (1985), p. 214
The Humiliation of the Word (1981)
As quoted in Dictionary of Scientific Biography (1970 - 1990) edited by M Steck.
Grundlagen der Analysis [Foundations of Analysis] (1930) Preface for the Student, as quoted by Eli Maor, Trigonometric Delights (2013)
“Only mathematics and mathematical logic can say as little as the physicist means to say.”
The Scientific Outlook (1931)
1930s
Context: Ordinary language is totally unsuited for expressing what physics really asserts, since the words of everyday life are not sufficiently abstract. Only mathematics and mathematical logic can say as little as the physicist means to say.