Select the most appropriate statement about each formula. 1: ∀x (T(x) ∨ ¬T(x)) 2: ∃x∀y (x ≠ y) 3: ∀x∀y (P(x,y) → P(y,x)) 4: ∀x (P(x,x))匹配题

A

true in the following model: the universe is all students, and P(x,y) means "x sits next to y."

B

true in the following model: the universe is all students, and P(x,y) means "x is at least as tall as y."

C

true in every model

D

not true in any model

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类似问题

[math: ∀x(¬P(x)→Q(x))]

Consider the sentence [math: (∃x(P(x)∧Q(x)))↔((∃xP(x))∧(∃xQ(x)))]. Which of the following is true?(If (D) is true, you must answer (D) and not (B) or (C).)

Select the most appropriate statement about each formula. 1: ∀x∀y (x = y → y = x) 2: ∀x (¬(x = x)) 3: ∀x∀y (R(x,y) → ¬R(y,x)) 4: ∃x ∀y R(x,y)

Consider the universe of discourse 𝑈 = 𝑅 and binary relation  𝐿 = { ( 𝑎 , 𝑏 ) | 𝑎 , 𝑏 ∈ 𝑅 , 𝑎 < 𝑏 } . Which one of the following wffs is true in this model?

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