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Formalisieren Und Beweisen

Formalisieren Und Beweisen


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About the Book

Gregory Bateson -Biologe, Anthropologe, Psychiater, Systemtheoretiker -erziihlt in der Ein- leitung zu seinem Buch Geist und Natur1 eine Geschichte: Ein Mann gibt in seinen Computer die Frage ein: "Wirst Du jemals denken wie ein Mensch? Rechne mal nach!" Der Computer rechnet und rechnet und gibt schlieBlich aus: Dabei flillt mir eine Geschichte ein. Die Geschichte dieses Buches handelt von Menschen. "Fangt doch jeden Abschnitt mit einem Beispiel an", schlug Ralf-Detlef Kutsche vor, als er mir 1982 zusammen mit Peter Padawitz, Simone Pribbenow und Andreas Schulze half, die Lehrveranstaltung Logik for Informatiker durchzufiihren. "Fragen und Aufgaben regen besser zum Arbeiten an als Begriffe und Satze. " Deswegen beginnt jeder Tell dieses Buches mit einer Geschichte, die als Arbeitsmaterial dient: Die Einfuhrung mit dem Problem des Affen mit der Banane, die Aussagenlogik mit der Ballwurf- logeiei, die Offene Pradikatenlogik mit dem Architektenbeispiel und die volle Priidikatenlogik mit der Geometrie Euklids. Deswegen endet jeder Abschnitt mit Aufgaben und Fragen, die wesentlich furs Verstehen sind. Deswegen sieht man beim Blattem so wenig Beweise: Ich ent- wickle einen Beweis lieber aus einer Fragestellung und formuliere das Ergebnis als Satz, statt mit dem Satz zu beginnen. Deswegen sind die Themen des Buches Formalisieren und Verstehen, Tlitigkeiten, und nicht Logik und I nformatik, Gebiete. Ich behandle in dem Buch im wesentlichen die klassischen Grundthemen der mathematischen Logik: logische Folgerung, Ableitung, Vollstandigkeit, logische Theorie, Axiomensystem Es geht mir aber nicht darum, diese Begriffe und ihre Eigenschaften darzustellen.


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Product Details
  • ISBN-13: 9783528047573
  • Publisher: Vieweg+teubner Verlag
  • Publisher Imprint: Vieweg+teubner Verlag
  • Edition: 1990 ed.
  • Language: German
  • Returnable: N
  • Spine Width: 15 mm
  • Weight: 503 gr
  • ISBN-10: 3528047577
  • Publisher Date: 01 Jan 1990
  • Binding: Paperback
  • Height: 244 mm
  • No of Pages: 262
  • Series Title: Lehrbuch Informatik
  • Sub Title: Logik Für Informatiker
  • Width: 170 mm


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