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\newtheorem{prop}{Proposition} \newtheorem{cor}{Corollary} \newtheorem*{utheorem}{Theorem} \newtheorem*{ulemma}{Lemma} \newtheorem*{uprop}{Proposition} \newtheorem*{ucor}{Corollary} \theoremstyle{definition} \newtheorem{defn}{Definition} \newtheorem{example}{Example} \newtheorem*{udefn}{Definition} \newtheorem*{uexample}{Example} \theoremstyle{remark} \newtheorem{remark}{Remark} \newtheorem{note}{Note} \newtheorem*{uremark}{Remark} \newtheorem*{unote}{Note} %------------------------------------------------------------------- \begin{document} %------------------------------------------------------------------- \section*{Hermann Cohen} \hypertarget{context}{}\subsubsection*{{Context}}\label{context} \hypertarget{philosophy}{}\paragraph*{{Philosophy}}\label{philosophy} [[!include philosophy - contents]] \hypertarget{contents}{}\section*{{Contents}}\label{contents} \noindent\hyperlink{related_entries}{Related entries}\dotfill \pageref*{related_entries} \linebreak \noindent\hyperlink{links}{Links}\dotfill \pageref*{links} \linebreak \noindent\hyperlink{references}{References}\dotfill \pageref*{references} \linebreak \textbf{Hermann Cohen} (1842-1918) was a German Philosopher of Jewish origin. He was one of the main protagonists of the \emph{Marburg school of neo-Kantianism} together with \emph{Paul Natorp} and \emph{[[Ernst Cassirer]]}. Cohen's \emph{`\hyperlink{Cohen71}{Kants Theorie der Erfahrung}'} (1871) is widely viewed as a founding document of \textbf{neo-Kantianism}, the `return to Kant' (O. Liebmann 1865), that dominated German academic philosophy until the 1920s. The second edition of 1883 contains a famous exegesis of the `principles of anticipations of perceptions' from Kant's `Kritik der reinen Vernunft' where Cohen proposes to identify Kant's \emph{intensive quantities} of consciousness with [[infinitesimals]] in a mathematical sense which serve as a principle on which the reality (of all perceptions) is based. (For more on this main work see the introduction \hyperlink{Edel87}{Edel (1987)}.) \emph{`Das Prinzip der Infinitesimal-Methode und seine Geschichte'} (\hyperlink{Cohen83}{Cohen 1883}) seeks to corroborate this programmatic transcendental-philosophical interpretation of the `generation of reality from the inifinitesimally small' in the natural sciences by a detailed discussion of the historical development of the concept of continuity or [[infinitesimal objects]] in mathematics and physics. (See \hyperlink{KM13}{Katz-Mormann (2013)} for the role that these ideas have played in the Marburg school.) Cohen's views on the role of continuity have affinities with Hegelianism (see at \emph{[[Science of Logic]]}) and related ideas by [[Charles Sanders Peirce|C. S. Peirce]] and may be viewed as philosophical complement to [[F.W. Lawvere]]`s concept of [[infinitesimal generation]] for [[cohesive toposes]] (although the latter explicitly rejected the idealist idea of generation of reality from pure thought). \hypertarget{related_entries}{}\subsection*{{Related entries}}\label{related_entries} \begin{itemize}% \item [[cohesion]] \item [[synthetic differential geometry]] \item [[infinitesimal]] \item [[William Lawvere]] \item [[Ernst Cassirer]] \item [[Charles Sanders Peirce]] \end{itemize} \hypertarget{links}{}\subsection*{{Links}}\label{links} \begin{itemize}% \item \href{http://plato.stanford.edu/entries/cohen/}{Stanford Encyclopedia of Philosophy entry} \item \href{http://de.wikipedia.org/wiki/Hermann_Cohen}{Wikipedia entry (German)} \item \href{http://en.wikipedia.org/wiki/Hermann_Cohen}{Wikipedia entry} \item \href{http://www.geert-edel.de/}{Homepage of G. Edel} \end{itemize} Most of Cohen's writings in their German original are digitally available via \begin{itemize}% \item \href{https://de.wikisource.org/wiki/Hermann_Cohen}{Wikisource entry (German)} \end{itemize} \hypertarget{references}{}\subsection*{{References}}\label{references} \begin{itemize}% \item H. Cohen, \emph{Kants Theorie der Erfahrung} , D\"u{}mmler Berlin 1871. (strongly revised editions in 1883 and 1918) \item H. Cohen, \emph{Das Prinzip der Infinitesimal-Methode und seine Geschichte} , Berlin 1883. \item H. Cohen, \emph{Logik der Reinen Erkenntnis} , Berlin 1902. \item G. Edel, \emph{Einleitung zu `Herman Cohen: Kants Theorie der Erfahrung'} , pp.8-59 in Cohen, \emph{Werke 1} , Olms Hildesheim 1987. (\href{http://www.geert-edel.de/Texte/Ed1.pdf}{preprint}) \item G. Edel, \emph{Hermann Cohen und die analytische Philosophie der Gegenwart} , pp.179-203 in R. Brandt, F. Orlik (eds.), \emph{Philosophisches Denken -- Politisches Wirken. Hermann Cohen Kolloquium Marburg 1992}, Olms Hildesheim 1993. (\href{http://www.geert-edel.de/Texte/Text4.pdf}{preprint}) \item [[Gottlob Frege|G. Frege]], \emph{Rezension von: \hyperlink{Cohen83}{Cohen 1883}}, Z.Phil.Phil.Kr. \textbf{87} (1885) pp.324-329, reprinted on pp.99-102 in Frege, \emph{Kleine Schriften} , Olms Hildesheim 1990. \item H.-G. Gadamer, \emph{Festrede zum 100. Geburtstag von Paul Natorp gehalten am 24.1.1954} , pp.XI-XVII in Natorp, \emph{Philosophische Systematik} , Meiner Hamburg 1958. \item M. G. Katz, T. Mormann, \emph{Infinitesimals as an issue in neo-Kantian philosophy of science} , arXiv:1304.1027v1 (2013) . (\href{http://arxiv.org/pdf/1304.1027v1}{pdf}) \item [[F. W. Lawvere]], \emph{Toposes of Laws of Motion} , Talk Montreal 1997. \item [[Bertrand Russell| B. Russell]] , \emph{The Principles of Mathematics} , Routledge London 19921903/1937$^2$. (ch.XLI) \end{itemize} category:people \end{document}