„People can be fooled into thinking of mathematics as logical, formal, symbolic reasoning. But this is far from reality...computers are far better at formal computation and formal reasoning, but humans are far better mathematicians.“

Foreword to Teichmüller Theory

Übernommen aus Wikiquote. Letzte Aktualisierung 13. Oktober 2021. Geschichte
William Thurston Foto
William Thurston4
mathematician 1946 - 2012

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Marshall McLuhan Foto

„Formal logic and the logical syllogism encapsulate connectedness in reasoning.“

—  Marshall McLuhan Canadian educator, philosopher, and scholar-- a professor of English literature, a literary critic, and a communicatio… 1911 - 1980

1980s, Laws of Media: The New Science (with Eric McLuhan) (1988)

Marvin Minsky Foto

„I am inclined to doubt that anything very resembling formal logic could be a good model for human reasoning.“

—  Marvin Minsky American cognitive scientist 1927 - 2016

Jokes and their Relation to the Cognitive Unconscious (1980)
Kontext: I am inclined to doubt that anything very resembling formal logic could be a good model for human reasoning. In particular, I doubt that any logic that prohibits self-reference can be adequate for psychology: no mind can have enough power — without the power to think about Thinking itself. Without Self-Reference it would seem immeasurably harder to achieve Self-Consciousness — which, so far as I can see, requires at least some capacity to reflect on what it does. If Russell shattered our hopes for making a completely reliable version of commonsense reasoning, still we can try to find the islands of "local consistency," in which naive reasoning remains correct.

Hans Freudenthal Foto
John Kenneth Galbraith Foto

„In these matters, as often in our culture, it is far, far better to be wrong in a respectable way than to be right for the wrong reasons.“

—  John Kenneth Galbraith, buch The Great Crash, 1929

Quelle: The Great Crash, 1929 (1954 and 1997 https://openlibrary.org/books/OL25728842M/The_Great_Crash_1929), Chapter V, The Twilight of Illusion, Section VII, p. 85

Marvin Minsky Foto

„In today's computer science curricula … almost all their time is devoted to formal classification of syntactic language types, defeatist unsolvability theories, folklore about systems programming, and generally trivial fragments of "optimization of logic design"“

—  Marvin Minsky American cognitive scientist 1927 - 2016

the latter often in situations where the art of heuristic programming has far outreached the special-case "theories" so grimly taught and tested — and invocations about programming style almost sure to be outmoded before the student graduates.
Turing Award Lecture "Form and Content in Computer Science" (1969) http://web.media.mit.edu/~minsky/papers/TuringLecture/TuringLecture.html, in Journal of the Association for Computing Machinery 17 (2) (April 1970)

Stephen Wolfram Foto

„Computational reducibility may well be the exception rather than the rule: Most physical questions may be answerable only through irreducible amounts of computation. Those that concern idealized limits of infinite time, volume, or numerical precision can require arbitrarily long computations, and so be formally undecidable.“

—  Stephen Wolfram British-American computer scientist, mathematician, physicist, writer and businessman 1959

[Undecidability and intractability in theoretical physics, Physical Review Letters, 54, 8, 1985, 735–738, 10.1103/PhysRevLett.54.735, https://www.stephenwolfram.com/publications/academic/undecidability-intractability-theoretical-physics.pdf]

Hilary Putnam Foto
Albert Einstein Foto

„As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality.“

—  Albert Einstein German-born physicist and founder of the theory of relativity 1879 - 1955

Insofern sich die Sätze der Mathematik auf die Wirklichkeit beziehen, sind sie nicht sicher, und insofern sie sicher sind, beziehen sie sich nicht auf die Wirklichkeit. http://books.google.com/books?id=QF0ON71WuxEC&q=%22Insofern+sich+die+S%C3%A4tze+der+Mathematik+auf+die%22&pg=PA3#v=onepage

Geometrie and Erfahrung (1921) pp. 3-4 link.springer.com http://link.springer.com/chapter/10.1007%2F978-3-642-49903-6_1#page-1 as cited by Karl Popper, The Two Fundamental Problems of the Theory of Knowledge (2014) Tr. Andreas Pickel, Ed. Troels Eggers Hansen.
Ref: en.wikiquote.org - Albert Einstein / Quotes / 1920s

1920s, Sidelights on Relativity (1922)

Sarah Monette Foto

„The oaths were no more than a formal deterrent to troublemaking, but they were better than no deterrent at all.“

—  Sarah Monette, buch The Goblin Emperor

Quelle: The Goblin Emperor (2014), Chapter 8, "The Coronation of Edrehasivar VII" (p. 94)

Bill Gates Foto

„As far as the use of mathematics in economics is concerned, there is an abundance of formulas where such are not needed. They are frequently introduced, one fears, in order to show off. The more difficult the mathematical theorem, the more esoteric the name of the mathematician quoted, the better.“

—  Oskar Morgenstern austrian economist 1902 - 1977

Oskar Morgenstern, " Limits of the Use of Mathematics in Economics https://www.princeton.edu/~erp/ERParchives/archivepdfs/M49.pdf," in: James C. Charlesworth (Hg.), Mathematics and the Social Science. The Utility and Inutility of Mathematics in the Study of Economics, Political Sciences and Sociology, Philadelphia 1963, S. 12-29, hier S. 18.

Herbert Marcuse Foto
John O. Brennan Foto

„As far as the allegations of the CIA hacking into Senate computers, nothing could be further from the truth, … We wouldn’t do that. I mean, that’s just beyond the, you know, the scope of reason in terms of what we do.“

—  John O. Brennan 7th Director of the Central Intelligence Agency 1955

Conversation with Andrea Mitchell of NBC News, March 11, 2014 https://www.youtube.com/watch?v=6apC6jN0TZo&feature=youtu.be&t=18m36s,

Robert Graves Foto

„The chief trouble with the official style is that it spreads far beyond the formal contexts to which it is suited. Most civil servants, having learned to write in this way, cannot throw off the habit.“

—  Robert Graves English poet and novelist 1895 - 1985

Quelle: The Reader Over Your Shoulder (1943), Ch.4: "The Use and Abuse of Official English"
Kontext: The chief trouble with the official style is that it spreads far beyond the formal contexts to which it is suited. Most civil servants, having learned to write in this way, cannot throw off the habit. The obscurity of their public announcements largely accounts for the disrepute into which Departmental activities have fallen: for the public naturally supposes that Departments are as muddled and stodgy as their announcements.
The habit of obscurity is partly caused by a settled disinclination among public servants to give a definite refusal even where assent is out of the question; or to convey a vigorous rebuke even where, in private correspondence, any person with self-respect would feel bound to do so. The mood is conveyed by a polite and emasculated style — polite because, when writing to a member of the public, the public servant is, in theory at least, addressing one of his collective employers; emasculated because, as a cog in the Government machine, he must make his phrases look as mechanical as possible by stripping them of all personal feeling and opinion.

Herbert Marcuse Foto
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