Be Pa binary predicate on a domain Dany. Consider the following sentences in predicate logic: PR = Vr (P(x, x)) Ps = VrVy (P(x,y) → P(y, x)) Or = VrVyVz (P(x, y) ^ P(y, z) → P(r, z)) oy = VrVyVz (P(r, y) ^ P(r, z) → P(y, z)) ex = VrVyVz (P(y, x) ^ P(z, x) → P(y, 2)) PE = PRAPS A OT Show that: a) PR A Yv = PE b) PR AYx = PE

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Statements and Logic

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