„We are told … statements that are not mathematical or logical formulae may look as if they were necessarily or certainly true, but they only look like that. They cannot really be either necessary or certain.“

Great Books: The Foundation of a Liberal Education (1954)

Übernommen aus Wikiquote. Letzte Aktualisierung 3. Juni 2021. Geschichte
Robert Maynard Hutchins Foto
Robert Maynard Hutchins
US-amerikanischer Bildungstheoretiker 1899 - 1977

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Mahmoud Ahmadinejad Foto

„We had principles in mathematics that were granted to be absolute in mathematics for over 800 years, but new science has gotten rid of those absolutism, gotten — forward other different logics of looking at mathematics, and sort of turned the way we look at it as a science altogether after 800 years.“

—  Mahmoud Ahmadinejad 6th President of the Islamic Republic of Iran 1956

Columbia University speech, 24 September 2007
[24 September 2007, http://www.azstarnet.com/sn/hourlyupdate/202820.php, "Iran's president at Columbia University - a transcript", azstarnet.com, 2007-09-25]
2007

Hilary Putnam Foto
David Deutsch Foto
Edmund Landau Foto

„I will ask of you only the ability to read English and to think logically—no high school mathematics, and certainly no higher mathematics.“

—  Edmund Landau German Jewish mathematician 1877 - 1938

Grundlagen der Analysis [Foundations of Analysis] (1930) Preface for the Student, as quoted by Eli Maor, Trigonometric Delights (2013)

„The object of mathematics is to discover "true" theorems. We shall use the term "valid" to describe statements formed according to certain rules and then shall discuss how this notion compares with the intuitive idea of "true."“

—  Paul Cohen American mathematician 1934 - 2007

Set theory and the continuum hypothesis, p. 8. https://books.google.com/books?id=Z4NCAwAAQBAJ&pg=PA8
Set Theory and the Continuum Hypothesis (1966)

L. E. J. Brouwer Foto
David Deutsch Foto
Hans Freudenthal Foto
Jacques Lipchitz Foto
Augustus De Morgan Foto
Bertrand Russell Foto

„Every philosophical problem, when it is subjected to the necessary analysis and justification, is found either to be not really philosophical at all, or else to be, in the sense in which we are using the word, logical.“

—  Bertrand Russell logician, one of the first analytic philosophers and political activist 1872 - 1970

Variante: Every philosophical problem, when it is subjected to the necessary analysis and purification, is found either to be not really philosophical at all, or else to be, in the sense in which we are using the word, logical.
Quelle: 1910s, Our Knowledge of the External World (1914), p. 33

Albert Einstein Foto
David Hilbert Foto
Cary-Hiroyuki Tagawa Foto
James Jeans Foto

„In many ways it is true to say that syntax is mathematical logic, semantics is philosophy or philosophy of science, and pragmatics is psychology, but these fields are not really all distinct.“

—  Frank Honywill George British psychologist 1921 - 1997

Quelle: The Brain As A Computer (1962), p.42 as cited in: Sica Pettigiani (1996) La comunicazione interumana. p.48

Alfred Jules Ayer Foto

„The principles of logic and mathematics are true simply because we never allow them to be anything else.“

—  Alfred Jules Ayer, buch Language, Truth, and Logic

Quelle: Language, Truth, and Logic (1936), p. 77.
Kontext: The principles of logic and mathematics are true simply because we never allow them to be anything else. And the reason for this is that we cannot abandon them without contradicting ourselves, without sinning against the rules which govern the use of language, and so making our utterances self-stultifying. In other words, the truths of logic and mathematics are analytic propositions or tautologies.

Bertrand Russell Foto

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