“Tautologies and contradictions are not real propositions, but degenerate cases. …Clearly, by negating a contradiction we get a tautology, and by negating a tautology a contradiction. …A genuine proposition asserts something about reality, and it is true if reality is as it is asserted to be. But a tautology is a symbol constructed so as to say nothing whatever about reality, but to express total ignorance by agreeing with every possibility.”

— Frank P. Ramsey

The Foundations of Mathematics (1925)

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Frank P. Ramsey 10

British mathematician, philosopher 1903–1930

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“The assimilation of tautologies and contradictions with true and false propositions respectively results from the fact that tautologies and contradictions can be taken as truth-functions just like ordinary propositions, and for determining the truth of falsity of the truth-function, tautologies and contradictions among its arguments must be counted as true or false respectively. …Are the propositions of symbolic logic and mathematics tautologies in Mr Wittgenstein's sense?”

Frank P. Ramsey (1903–1930) British mathematician, philosopher

The Foundations of Mathematics (1925)

“A tautology's truth is certain, a proposition's possible, a contradiction's impossible.”

Ludwig Wittgenstein book Tractatus Logico-Philosophicus

Certain, possible, impossible: here we have the first indication of the scale that we need in the theory of probability.
4.464
Original German: Die Wahrheit der Tautologie ist gewiss, des Satzes möglich, der Kontradiktion unmöglich
Source: 1920s, Tractatus Logico-Philosophicus (1922)

“Works of art are analytic propositions. That is, if viewed within their context – as art – they provide no information whatsoever about any matter of fact. A work of art is a tautology in that it is a presentation of the artist’s intention, that is, he is saying that that particular work of art is art, which means, is a definition of art.”

Joseph Kosuth (1945) American conceptual artist

Art after Philosophy, 1969

“The recognition of the light of reality within the darkness of abstraction is a contradiction – both the affirmation and the negation of the real at one and the same time. The new philosophy, which thinks the concrete not in an abstract but a concrete way, which acknowledges the real in its reality – that is, in a way corresponding to the being of the real as true, which elevates it into the principle and object of philosophy – is consequently the truth of the Hegelian philosophy, indeed of modern philosophy as a whole.”

Ludwig Feuerbach (1804–1872) German philosopher and anthropologist

Part III, Section 31
Principles of Philosophy of the Future http://www.marxists.org/reference/archive/feuerbach/works/future/index.htm (1843)

“The Western approach to reality is mostly through theory, and theory begins by denying reality — to talk about reality, to go around reality, to catch anything that attracts our sense-intellect and abstract it away from reality itself. Thus philosophy begins by saying that the outside world is not a basic fact, that its existence can be doubted and that every proposition in which the reality of the outside world is affirmed is not an evident proposition but one that needs to be divided, dissected and analyzed. It is to stand consciously aside and try to square a circle.”

Bruce Lee (1940–1973) Hong Kong-American actor, martial artist, philosopher and filmmaker

Source: Striking Thoughts (2000), p. 15 - 16

“Science sometimes improves hypothesis and sometimes disproves them. But proof would be another matter and perhaps never occurs except in the realms of totally abstract tautology. We can sometimes say that if such and such abstract suppositions or postulates are given, then such and such abstract suppositions or postulates are given, then such and such must follow absolutely. But the truth about what can be perceived or arrived at by induction from perception is something else again.”

Gregory Bateson (1904–1980) English anthropologist, social scientist, linguist, visual anthropologist, semiotician and cyberneticist

Source: Mind and Nature, a necessary unity, 1988, p. 27

“Wizard's Ninth Rule
A contradiction can not exist in reality. Not in part, nor in whole.”

Terry Goodkind Chainfire

Source: Chainfire

“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.”

Bertrand Russell (1872–1970) logician, one of the first analytic philosophers and political activist

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.

“Perhaps there was a natural process at work here; a means by which the mind dealt with experiences that contradicted a lifetime’s prejudices about the nature of reality. People simple forgot.”

Clive Barker (1952) author, film director and visual artist

Part Seven “The Demagogue”, Chapter vi “Hello, Stranger”, Section 2 (p. 307)
(1987), BOOK TWO: THE FUGUE

“That the sun will not rise to-morrow is no less intelligible a proposition, and implies no contradiction, than the affirmation, that it will rise.”

David Hume book An Enquiry Concerning Human Understanding

§ 4.8
An Enquiry Concerning Human Understanding (1748)

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Frank P. Ramsey 10

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