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Solved: Use modus ponens or modus tollens to fill in the
Chapter 2, Problem 1E(choose chapter or problem)
Use modus ponens or modus tollens to fill in the blanks in the arguments of 1-5 so as to produce valid inferences.
If \(\sqrt{2}\) is rational, then \(\sqrt{2}=a / b\) for some integers a and b.
It is not true that \(\sqrt{2}=a / b\) for some integers a and b.
\(\therefore\) __________________________________________.
Text Transcription:
sqrt 2
sqrt 2=a / b
therefore
Questions & Answers
QUESTION:
Use modus ponens or modus tollens to fill in the blanks in the arguments of 1-5 so as to produce valid inferences.
If \(\sqrt{2}\) is rational, then \(\sqrt{2}=a / b\) for some integers a and b.
It is not true that \(\sqrt{2}=a / b\) for some integers a and b.
\(\therefore\) __________________________________________.
Text Transcription:
sqrt 2
sqrt 2=a / b
therefore
ANSWER:Solution:Step 1:In this question, we have to fill the blank using modus ponens or modus tollens to produce valid argument for the following statement.