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\begin{document}

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\section*{Naturerkennen und Logik}

\begin{itemize}%
\item [[David Hilbert]],

\emph{Naturerkennen und Logik} (Engl.: \emph{Logic and the knowledge of nature}),

Lecture at

\emph{Kongress der Gesellschaft Deutscher Naturforscher und \"A{}rtze},

1930

(\href{http://math.sfsu.edu/smith/Documents/HilbertRadio/HilbertRadio.pdf}{pdf}, \href{http://math.sfsu.edu/smith/Documents/HilbertRadio/HilbertRadio.mp3}{audio})

reprinted in Hilbert's collected works in German (pp. 378-387)

translated to English in W. Ewald, \emph{From Kant to Hilbert}, 1996, pp. 1157-1165



\end{itemize}
The famous \emph{finale} from this lecture, in English translation:

\begin{quote}%
The instrument that mediates between theory and practice, between thought and observation, is [[mathematics]]; it builds the connecting bridge and makes it stronger and stronger. Thus it happens that our entire present-day culture, insofar as it rests on intellectual insight into and harnessing of nature, is founded on mathematics. Already, [[Galilei|GALILEO]] said: Only he can understand nature who has learned the language and signs by which it speaks to us; but this language is mathematics and its signs are mathematical figures. [[Kant|KANT]] declared, “I maintain that in each particular natural science there is only as much true science as there is mathematics.” In fact, we do not master a theory in natural science until we have extracted its mathematical kernel and laid it completely bare. Without mathematics today’s astronomy and physics would be impossible; in their theoretical parts, these sciences unfold directly into mathematics. These, like numerous other applications, give mathematics whatever authority it enjoys with the general public.

Nevertheless, all mathematicians have refused to let applications serve as the standard of value for mathematics. [[Gauss|GAUSS]] spoke of the magical attraction that made number theory the favorite science for the first mathematicians, not to mention its inexhaustible richness, in which it so far surpasses all other parts of mathematics. [[Leopold Kronecker|KRONECKER]] compared number theorists with the Lotus Eaters, who, once they had sampled that delicacy, could never do without it.

With astonishing sharpness, the great mathematician [[Henri Poincaré|POINCARÉ]] once attacked TOLSTOY, who had suggested that pursuing “science for science’s sake” is foolish. The achievements of industry, for example, would never have seen the light of day had the practical-minded existed alone and had not these advances been pursued by disinterested fools.

The glory of the human spirit, so said the famous Königsberg mathematician JACOBI, is the single purpose of all science

We must not believe those, who today with philosophical bearing and a tone of superiority prophesy the downfall of culture and accept the \href{https://en.wikipedia.org/wiki/Ignoramus_et_ignorabimus}{ignorabimus}. For us there is no \href{https://en.wikipedia.org/wiki/Ignoramus_et_ignorabimus}{ignorabimus}, and in my opinion even none whatever in natural science. In place of the foolish \href{https://en.wikipedia.org/wiki/Ignoramus_et_ignorabimus}{ignorabimus} let stand our slogan:

We must know,

We will know.


\end{quote}
\hypertarget{related_references}{}\subsection*{{Related references}}\label{related_references}

\begin{itemize}%
\item [[Galileo Galilei]] (\href{Galileo+Galilei#Quotes}{quote}):

\begin{quote}%
[[natural philosophy|Philosophy]] $[$i.e. [[physics]] $]$ is written in this grand book --- I mean the universe --- which stands continually open to our gaze, but it cannot be understood unless one first learns to comprehend the language and interpret the characters in which it is written. It is written in the language of [[mathematics]], and its characters are triangles, circles, and other geometrical figures, without which it is humanly impossible to understand a single word of it; without these, one is wandering around in a dark labyrinth. (\href{http://en.wikipedia.org/wiki/The_Assayer}{Galilei, Il Saggiatore, 1623}).


\end{quote}

\item [[Eugene Wigner]], \emph{[[The Unreasonable Effectiveness of Mathematics in the Natural Sciences]]} 1960.



\end{itemize}
category: reference



\end{document}