February 2015
Intermediate to advanced
392 pages
17h 52m
German
Content preview from Mathematik für Wirtschaftswissenschaftler, 2nd Edition
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1.3. Logisches Schließen
7
1.3 Logisches Schließen
Es werden nun formale Aussagenverbindungen, die mit den eingeführten logischen Operationen erzeugt
wurden, auf ihren Wahrheitswert untersucht; hierbei stehen A,B,C,... als Symbole für Aussagen.
Beispiel 1.7 Werden in die formale Aussagenverbindung A => (5V
-<B)
konkrete
Aussagen A und Β eingesetzt, so ergibt sich stets eine wahre Aussage, unabhängig
von den Wahrheitswerten von A und B.
3
Denn die Konklusion Β V
-<B
des Schlusses
A (Β V -¡Β) ist stets wahr, und folglich ist der gesamte Schluss wahr.
Formal ergibt sich dies auch mit Hilfe einer Tabelle der Wahrheitswerte:
A
Β
-•Β
ßVnß
A =• {Β
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