Develop a symbolic translation key (using the letters “P,” “Q,” “R” …) for the f
ID: 3109760 • Letter: D
Question
Develop a symbolic translation key (using the letters “P,” “Q,” “R” …) for the following argument , translate the argument, and state whether the argument is valid or not valid either by showing how the conclusion can be (validly) deduced, or by showing how it is not possible to deduce the conclusion. Finally, state whether the argument contains any “superfluous” premises (“yes” or “no”) and, if so, identify it (or them) .
We are witnessing the end of the politics of division. The politics of division were born during the Regan era. If we are witnessing the end of the politics of division, then America resumes its exemplary role in world affairs. If America resumes its exemplary role in world affairs, then we may witness a new age of global cooperation among several nations. Therefore, we may witness a new age of global cooperation among several nations.
Explanation / Answer
Firstly we will divide argument into simple statements as follows:
Statement#1: We are witnessing the end of the politics of division.
Statement#2: The politics of division were born during the Regan era.
Statement#3: America resumes its exemplary role in world affairs.
Statement#4: we may witness a new age of global cooperation among several nations.
Symbolic Notation for logical connectives : 1) If....then.. : -->
2) and : &
Symbolic Translation of given argument: ((Statement#1 & Statement#2) --> Statement#3)--> Statement#4.
Conclusion: Statement#1 --> Statement#4
Above argument is Valid since conclusion can be deduced easily and yes, it contains "superfluous" which is Statement#2(The politics of division were born during the Regan era).
(Important Note: Instead of symbol you can use letters for logical connectives.)
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