
“Out of Gods blessing into the warme Sunne.”
Part II, chapter 5.
Proverbs (1546), Bartlett's Familiar Quotations, 10th ed. (1919)
A Plaine Discovery of the Whole Revelation of St. John (1593), The First and Introductory Treatise
“Out of Gods blessing into the warme Sunne.”
Part II, chapter 5.
Proverbs (1546), Bartlett's Familiar Quotations, 10th ed. (1919)
Recent Work on the Principles of Mathematics, published in International Monthly, Vol. 4 (1901), later published as "Mathematics and the Metaphysicians" in Mysticism and Logic and Other Essays (1917)
1900s
Context: Pure mathematics consists entirely of assertions to the effect that, if such and such a proposition is true of anything, then such and such another proposition is true of that thing. It is essential not to discuss whether the first proposition is really true, and not to mention what the anything is, of which it is supposed to be true. Both these points would belong to applied mathematics. We start, in pure mathematics, from certain rules of inference, by which we can infer that if one proposition is true, then so is some other proposition. These rules of inference constitute the major part of the principles of formal logic. We then take any hypothesis that seems amusing, and deduce its consequences. If our hypothesis is about anything, and not about some one or more particular things, then our deductions constitute mathematics. Thus mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true. People who have been puzzled by the beginnings of mathematics will, I hope, find comfort in this definition, and will probably agree that it is accurate.
A Plaine Discovery of the Whole Revelation of St. John (1593), The First and Introductory Treatise
Source: Dictionary of Burning Words of Brilliant Writers (1895), P. 137.
Letter to her sister, Princess Mary (29 April 1686), from B. C. Brown (ed.), The Letters and Diplomatic Instructions of Queen Anne (1935), p. 16.
Me and the Girls (1964).
“To "postulate" a proposition is no more than to hope it is true.”
The Doctrine of Necessity Examined (1892)
Context: When I have asked thinking men what reason they had to believe that every fact in the universe is precisely determined by law, the first answer has usually been that the proposition is a "presupposition " or postulate of scientific reasoning. Well, if that is the best that can be said for it, the belief is doomed. Suppose it be " postulated " : that does not make it true, nor so much as afford the slightest rational motive for yielding it any credence. It is as if a man should come to borrow money, and when asked for his security, should reply he "postulated " the loan. To "postulate" a proposition is no more than to hope it is true. There are, indeed, practical emergencies in which we act upon assumptions of certain propositions as true, because if they are not so, it can make no difference how we act. But all such propositions I take to be hypotheses of individual facts. For it is manifest that no universal principle can in its universality be compromised in a special case or can be requisite for the validity of any ordinary inference.
“It is quite impossible for a proposition to state that it itself is true.”
4.442
Original German: Ein Satz kann unmöglich von sich selbst aussagen, dass er wahr ist.
1920s, Tractatus Logico-Philosophicus (1922)