Question

Show that reflexive sentences are independent from symmetric, and transitive sentences by constructing a structure that...

Show that reflexive sentences are independent from symmetric, and transitive sentences by constructing a structure that satisfy symmetric and transitive quality but not reflexive.

Reflexive :∀xE(x, x)
symmetric :∀xy(E(x, y) → E(y, x))

transitive: ∀xyz(E(x, y) ∧ E(y, z) → E(x, z))

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