Question

If there was a ball game, then traveling was difficult it they arrived on time, then traveling was notmvxdifficultt. They arrived on time Conclusion: There was no ball game. Prove the conclusion (show the premises and their propositional form 12 points, proof 13 point)

Answer 1

The provided argument can be proven using propositional logic.

Step-by-step explanation:

The provided argument is valid and can be proven with the help of propositional logic. Let's represent the premises and conclusion using propositional variables.1. Ball game: B2. Traveling difficulty: D3. Arriving on time: AThe premises can be represented as:B → D (If there was a ball game, then traveling was difficult)A → ¬D (If they arrived on time, then traveling was not difficult)A (They arrived on time)Based on these premises, we can deduce the conclusion using modus tollens.¬D (Traveling was not difficult)¬B (There was no ball game)