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Grundzüge Der Mathematischen Logik

Grundzüge Der Mathematischen Logik

          
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About the Book

In der modernen Mathematik ist die sogenannte axiomatische Methode weit verbreitet; die Entdeckung der nichteuklidischen Geometrie durch Lobatschewski ist eine ihrer Bis heute hat die axiomatische Methode durch Beriihrung mit anderen Ideen Quellen. eine gewaltige Evolution erlebt und nicht nur neue Methoden, sondern auch neue Prinzi- pien des physikalischen und des mathematischen Denkens hervorgebracht. Die axiom a- tische Methode hat sich in zwei Etappen entwickelt. Die erste reicht von der Entdeckung durch Lobatschewski bis zu den Arbeiten Hilberts tiber die Grundlagen der Mathematik; die zweite von die sen Arbeiten Hilberts bis heute. Die zweite Etappe stellt eine Zusarn- menfassung von Ideen aus der Geometrie mit der sich parallel entwickelnden Theorie dar, die uns als "symbolische" oder "mathematische" Logik bekannt ist. Als Ergebnis ent- stand eine neue Disziplin, fiir welche die Bezeichnung mathematische Logik beibehalten wurde. Bevor wir auf die mathematische Logik selbst zu sprechen komrnen, betrachten wir kurz den ihr vorausgehenden Stand der axiomatischen Methode und versuchen, wenig- stens in den allgemeinsten Ziigen die Griinde fiir die Entstehung dieser Methode und die vor ihr stehenden Aufgaben zu klaren. Das Wesen der axiomatischen Methode besteht in einer spezifischen Weise, mathematische Objekte und Relationen zwischen ihnen zu defi- nieren. Beim Studium eines Systems von Objekten irgendwelcher Art verwenden wir be- stimrnte Termini, welche die Eigenschaften dieser Objekte und die Relationen zwischen ihnen ausdrticken.


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Product Details
  • ISBN-13: 9783528083199
  • Publisher: Vieweg+teubner Verlag
  • Publisher Imprint: Vieweg+teubner Verlag
  • Height: 234 mm
  • No of Pages: 286
  • Series Title: Logik Und Grundlagen Der Mathematik
  • Weight: 426 gr
  • ISBN-10: 3528083190
  • Publisher Date: 01 Jan 1973
  • Binding: Paperback
  • Language: German
  • Returnable: N
  • Spine Width: 16 mm
  • Width: 156 mm


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