Proof the above premises and hypothesis using Indirect proof Premise 1: P→¬R Premise 2: Q→S Premise 3: (R∨S)→T Premise 4: ¬T Hypothesis: P∨Q
gemauert79
Answered question
2022-09-24
Premise :
Premise :
Premise :
Premise :
Hypothesis:
Answer & Explanation
doraemonjrlf
Beginner2022-09-25Added 8 answers
An indirect proof is the same as a proof by contradiction. So: you need to assume , and show that that leads to a contradiction.
which shouldn't be hard: means , so with Premise you get , so , and so with Premise you get , which contradicts Premise . The formal details will depend on the exact nature of your proof system.
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