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Use symbols to write the logical form of each argument in,
Chapter 2, Problem 23E(choose chapter or problem)
Use symbols to write the logical form of each argument in 22 and 23 , and then use a truth table to test the argument for validity. Indicate which columns represent the premises and which represent the conclusion, and include a few words of explanation showing that you understand the meaning of validity.
Oleg is a math major or Oleg is an economics major. If Oleg is a math major, then Oleg is required to take Math 362 .
\(\therefore\) Oleg is an economics major or Oleg is not required to take Math 362 .
Text Transcription:
therefore
Questions & Answers
QUESTION:
Use symbols to write the logical form of each argument in 22 and 23 , and then use a truth table to test the argument for validity. Indicate which columns represent the premises and which represent the conclusion, and include a few words of explanation showing that you understand the meaning of validity.
Oleg is a math major or Oleg is an economics major. If Oleg is a math major, then Oleg is required to take Math 362 .
\(\therefore\) Oleg is an economics major or Oleg is not required to take Math 362 .
Text Transcription:
therefore
ANSWER:Solution:-
Step1
Given that
We have to use symbols to write the logical form of each argument, and then by using a truth table we have to test the validity. We have to indicate which columns represents the premises and which represents the conclusion and explain in a few words showing that shows the meaning of validity.
Step2
Assume that s represent “ Oleg is a math major.” , r represents “Oleg is an economics major”. and t represents “ Oleg must take math 362 course.”
By using symbol we can write as
Therefore,
Step3
Truth table for
1 |
2 |
3 |
4 |
5 |
6 |
7 |
|
s |
r |
||||||
1 |
T |
T |
T |
F |