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Sätze der Geometrie und Arithmetik. Immanuel Kant und Gottlob Frege im Vergleich

Sätze der Geometrie und Arithmetik. Immanuel Kant und Gottlob Frege im Vergleich

          
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About the Book

Studienarbeit aus dem Jahr 2016 im Fachbereich Philosophie - Theoretische (Erkenntnis, Wissenschaft, Logik, Sprache), Note: 1,0, Bergische Universität Wuppertal (Philosophisches Seminar), Veranstaltung: Immanuel Kant: Prolegomena zu einer jeden künftigen Metaphysik, die als Wissenschaft wird auftreten können., Sprache: Deutsch, Abstract: Ziel dieser Arbeit ist ein Vergleich der Konzeptionen von Sätzen der Geometrie und Arithmetik bei Immanuel Kant und Gottlob Frege. Gemeinsam ist den jeweiligen Konzeptionen, dass Sätze der Mathematik als Urteile a priori und damit unabhängig von Erfahrung erfolgen. Bezüglich der Geometrie gehen sowohl Kant als auch Frege davon aus, dass es sich bei Sätzen selbiger um synthetische Urteile a priori handelt, denen die räumliche Anschauung zugrunde liegt. Ihre Konzeptionen unterscheiden sich allerdings in Bezug auf die Arithmetik. Kant zufolge sind auch die Sätze der Arithmetik synthetische Urteile a priori, denen die Zeit als Anschauung zugrunde liegt. Frege hingegen argumentiert für eine Theorie von Sätzen der Arithmetik als analytischen Urteilen a priori, weil sie seiner Ansicht nach aus der Logik abzuleiten sind. Gegenstand der folgenden Untersuchungen ist bezüglich des ersten Teils, Kants Argumentation soweit nachzuvollziehen, dass verständlich wird, warum er Sätze der Mathematik, also sowohl der Geometrie als auch der Arithmetik, als synthetische Urteile a priori ansieht. Dabei müsste man jedoch, um diesem Gegenstand gerecht zu werden, weit über die herangezogenen Stellen hinausgehen und dies nicht nur innerhalb der Kritik der reinen Vernunft, sondern neben weiteren Schriften Kants auch in der Geschichte der Mathematik zumindest bis zu Euklid zurückgehen, was hier allerdings im Rahmen dieser Hausarbeit kaum möglich sein wird. Im zweiten Teil geht es schließlich um Freges Auseinandersetzung mit Kant in Bezug auf Sätze der Geometrie und Arithmetik, wobei sich der Autor ebenfalls auf einige ausgewählte Stellen beschränken wird. De


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Product Details
  • ISBN-13: 9783668401822
  • Publisher: Grin Verlag
  • Publisher Imprint: Grin Verlag
  • Height: 210 mm
  • No of Pages: 28
  • Spine Width: 2 mm
  • Width: 148 mm
  • ISBN-10: 3668401829
  • Publisher Date: 30 Mar 2017
  • Binding: Paperback
  • Language: German
  • Returnable: N
  • Weight: 50 gr

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