Determine the validity of the following arguments without using truth tables.
Determine the validity of the following arguments without using truth tables.
(a) If I like mathematics, then I will study.
I will not study.
Either I like mathematics, or I like soccer.
therefore, I like soccer.
(b) If I like mathematics, then I will study.
- Either I do not study, or I pass mathematics.
- If I do not graduate, then I did not pass mathematics.
- ∴ If I like mathematics, then I will graduate
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