Match the following sentences expressed in first-order logic to their English counterparts: 1.∀ x ∀ y (Piano(y) ∧ Owns(x, y) → Plays(x, y)) 2.∀ x ∃ y (Piano(y) ∧ Owns(x, y) ∧ Plays(x, y)) 3.∃ x ∀ y (Piano(y) ∧ Owns(x, y) → Plays(x, y)) 4.∃ x ∃ y (Piano(y) ∧ Owns(x, y) ∧ Plays(x, y)) Options are 1.Someone owns a piano and plays it 2.Everyone who owns a piano plays it 3.Somebody plays all the piano he owns. 4.Everybody owns a piano and plays it.   Refer figure

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.