Paper Topic:

Truth Tables

Euler 's Circle and the Truth Table

Truth tables and Euler 's Circle are related to each other . Both concepts are used in determining validity of arguments . Truth tables are used to determine the validity of a logical argument by determining the truth value of the whole argument . On the other hand , Euler 's Circle is a diagram used to determine validity of categorical statements which are represented by a circle in the diagram (Bluman , 2005 . In this the use of truth table and Euler 's circle will be examined and applied

through some problems in to determine whether both will give the same validity to the same problem

Euler 's Circle

a ) No A is B

Some C is A ?Some C is not B The argument is valid as the instance of the conclusion is observed from the Euler 's Circle

b ) All B is A

All C is A ?All C is B The argument is not valid as the instance of the conclusion is not observed from the Euler 's Circle

Truth Tables

In to create truth tables for the given arguments , one must convert the arguments from Euler 's Circle to logical arguments that have a truth value

a )

?q

r ?

?r ?q

p q r ?q

?q r ?

(p ?q (r ?

) r ?q [ (p ?q (r ?

)] (r ?q

F F F T T F F F T

F F T T T F...

2 pages

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