An analysis on a machine type Gödel Cover Image

O analiză pe o maşină de tip Gödel
An analysis on a machine type Gödel

Author(s): Marcel Bodea
Subject(s): Philosophy
Published by: Studia Universitatis Babes-Bolyai

Summary/Abstract: The formal domain of abstract mathematical systems and the propositions provable in them (the essentials of Gödel’s ideas) can be illustrated using a ‘machine language’ : The Gödel’s machine. This article was written primarily as an investigation and introduction to incompleteness theorems in a way wich is a simplifying factor. We tried to show how a certain computing machine can have very general features in subject to Gödel’s argument. We belive that the proofs we give are unusually simple. We then can turn to some incompletness arguments in a general setting. This could be an creative puzzles-aid to teachers of philosophical-logic at either the high school or college level.

  • Issue Year: 46/2001
  • Issue No: 1-2
  • Page Range: 173-182
  • Page Count: 9
  • Language: Romanian