Frasi di David Hilbert

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David Hilbert

Data di nascita: 23. Gennaio 1862
Data di morte: 14. Febbraio 1943

David Hilbert è stato un matematico tedesco.

È stato uno dei più eminenti ed influenti matematici del periodo a cavallo tra il XIX secolo e il XX secolo.



Frasi David Hilbert

„Good, he did not have enough imagination to become a mathematician.“

—  David Hilbert

Upon hearing that one of his students had dropped out to study poetry, as quoted in [http://books.google.com/?id=nnpChqstvg0C&pg=PA151 The Universal Book of Mathematics (2004) by David J. Darling, p. 151

„Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country.“

—  David Hilbert

Quoted in Mathematical Circles Revisited (1971) by Howard Whitley Eves

„If I were to awaken after having slept for a thousand years, my first question would be: Has the Riemann hypothesis been proven?“

—  David Hilbert

Quoted in Mathematical Mysteries : The Beauty and Magic of Numbers (1999) by Calvin C. Clawson, p. 258

„Physics is too difficult for physicists!“

—  David Hilbert

This quote has many variants. An early version attributed to the Göttingen School appears in a book review by Heinrich Wieleitner in Isis, Volume 7, No. 4, December 1925, p. 597: Ach, die Physik! Die ist ja für die Physiker viel zu schwer! (Oh, physics! That's just too difficult for the physicists!).
Disputed

„A mathematical problem should be difficult in order to entice us, yet not completely inaccessible, lest it mock at our efforts.“

—  David Hilbert, Mathematical Problems

Mathematical Problems (1900)
Contesto: A mathematical problem should be difficult in order to entice us, yet not completely inaccessible, lest it mock at our efforts. It should be to us a guide post on the mazy paths to hidden truths, and ultimately a reminder of our pleasure in the successful solution.

„A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to the first man whom you meet on the street.“

—  David Hilbert, Mathematical Problems

Eine mathematische Theorie ist nicht eher als vollkommen anzusehen, als bis du sie so klar gemacht hast, daß du sie dem ersten Manne erklären könntest, den du auf der Straße triffst.
Mathematical Problems (1900)
Contesto: An old French mathematician said: A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to the first man whom you meet on the street. This clearness and ease of comprehension, here insisted on for a mathematical theory, I should still more demand for a mathematical problem if it is to be perfect; for what is clear and easily comprehended attracts, the complicated repels us.

„Only an idiot could believe that scientific truth needs martyrdom“

—  David Hilbert

Hilbert (2nd edition, 1996) by Constance Reid, p. 92
Contesto: But he (Galileo) was not an idiot,... Only an idiot could believe that scientific truth needs martyrdom — that may be necessary in religion, but scientific results prove themselves in time.

„Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts.“

—  David Hilbert, Mathematical Problems

Mathematical Problems (1900)
Contesto: Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts. For with all the variety of mathematical knowledge, we are still clearly conscious of the similarity of the logical devices, the relationship of the ideas in mathematics as a whole and the numerous analogies in its different departments. We also notice that, the farther a mathematical theory is developed, the more harmoniously and uniformly does its construction proceed, and unsuspected relations are disclosed between hitherto separate branches of the science. So it happens that, with the extension of mathematics, its organic character is not lost but only manifests itself the more clearly.

„History teaches the continuity of the development of science. We know that every age has its own problems, which the following age either solves or casts aside as profitless and replaces by new ones.“

—  David Hilbert, Mathematical Problems

Mathematical Problems (1900)
Contesto: History teaches the continuity of the development of science. We know that every age has its own problems, which the following age either solves or casts aside as profitless and replaces by new ones. If we would obtain an idea of the probable development of mathematical knowledge in the immediate future, we must let the unsettled questions pass before our minds and look over the problems which the science of today sets and whose solution we expect from the future. To such a review of problems the present day, lying at the meeting of the centuries, seems to me well adapted. For the close of a great epoch not only invites us to look back into the past but also directs our thoughts to the unknown future.

„To new concepts correspond, necessarily, new signs.“

—  David Hilbert, Mathematical Problems

Mathematical Problems (1900)
Contesto: To new concepts correspond, necessarily, new signs. These we choose in such a way that they remind us of the phenomena which were the occasion for the formation of the new concepts.

„No one shall expel us from the paradise that Cantor has created.“

—  David Hilbert, Über das Unendliche

Aus dem Paradies, das Cantor uns geschaffen, soll uns niemand vertreiben können.
"Über das Unendliche" [On the Infinite] in Mathematische Annalen 95, (1926)

„One of the supreme achievements of purely intellectual human activity.“

—  David Hilbert

On the Cantor set, as quoted in A World Without Time : The Forgotten Legacy of Godel and Einstein (2005) by Palle Yourgrau, p. 44

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