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Quiz on basic logic operators and quantifiers.

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LBoomsky Minecraft

United States

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀Online version Quiz on basic logic operators and quantifiers. by LBoomsky Minecraft 1 ¬A "not A" a Negation: A is false. b Disjunction: at least one of A or B is true. c Conjunction: both A and B are true. 2 A ∧ B "A and B" a Conjunction: both A and B are true. b Negation: A is false. c Disjunction: at least one of A or B is true. 3 A ∨ B "A or B (inclusive)" a Disjunction: at least one of A or B is true. b Exclusive OR: exactly one of A or B is true. c Conjunction: both A and B are true. 4 A ⊕ B "A or B (exclusive)" a Disjunction: at least one of A or B is true. b Biconditional: A and B share the same truth value. c Exclusive OR: exactly one of A or B is true. 5 A → B "if A then B" a Conjunction: both A and B are true. b Material implication: A being true guarantees B. c Biconditional: A and B share the same truth value. 6 A ↔ B "A if and only if B" a Material implication: A being true guarantees B. b Exclusive OR: exactly one of A or B is true. c Biconditional: A and B share the same truth value. 7 ∀x P(x) "for all x, P(x)" a Universal quantifier. b Existential quantifier. c Uniqueness quantifier. 8 ∃x P(x) "there exists an x such that P(x)" a Universal quantifier. b Uniqueness quantifier. c Existential quantifier. 9 ∃!x P(x) "there exists exactly one x such that P(x)" a Universal quantifier. b Uniqueness quantifier. c Existential quantifier. 10 A ⊆ B "A is a subset of B" a A is a subset of B. b A is contained in B, but not equal to B. c A is an element of B. 11 A ⊂ B "A is a proper subset of B" a A is contained in B, but not equal to B. b A is a subset of B. c A is not related to B. 12 A ∈ B "A is an element of B" a A is inside set B. b A is not in B. c A is a subset of B. 13 A ∉ B "A is not an element of B" a A is an element of B. b A is a subset of B. c A is not an element of B. 14 ⊤ "true" a Tautology. b Contradiction. c A is logically equivalent to B 15 ⊥ "false" a A is logically equivalent to B b Contradiction. c Tautology. 16 A ⟹ B "A logically implies B" a A logically implies B b A is logically equivalent to B c A is not related to B 17 A ⟺ B "A is logically equivalent to B" a A logically implies B b A is an element of B c A is logically equivalent to B 18 Sedeprivationism: Vatican 2 Popes hold the office of the papacy materially but not formally. Sedevacantism "Totalism": Vatican 2 Popes do not hold the office of the pope in any form. a yes b c d 19 Heresy: A denial of a dogma of the catholic church. Notorious/Public/Manifest Heresy: Heresy one has shown externally. Occult Heresy: Heresy one believes personally. a ye b c 20 The sort of manifest heresy in which the church has issued a declaration condemning the individual as a heretic a Notorious In law b Notorious in fact c d 21 The sort of manifest heresy in which the person publicly holds heresy in such a way no argument can be made for their innocence of it. a Notorious In law b Notorious in fact c d 22 ¬ a Not b And c Inclusive OR d Exclusive OR e If, then f If and only if 23 ∧ a Not b And c Inclusive OR d Exclusive OR e If, then f If and only if 24 ∨ a Not b And c Inclusive OR d Exclusive OR e If, then f If and only if 25 ⊕ a Not b And c Inclusive OR d Exclusive OR e If, then f If and only if 26 → a Not b And c Inclusive OR d Exclusive OR e If, then f If and only if 27 ↔ a Not b And c Inclusive OR d Exclusive OR e If, then f If and only if 28 Is a subset of a ⊆ b ⊂ c ∈ d ∉ e True f False 29 Is a proper subset of a ⊆ b ⊂ c ∈ d ∉ e True f False 30 Is an element of a ⊆ b ⊂ c ∈ d ∉ e True f False 31 Is not an element of a ⊆ b ⊂ c ∈ d ∉ e True f False 32 ⊤ a ⊆ b ⊂ c ∈ d ∉ e True f False 33 ⊥ a ⊆ b ⊂ c ∈ d ∉ e True f False Feedback 1 Negation: A is false. 2 Conjunction: both A and B are true. 3 Disjunction: at least one of A or B is true. 4 Exclusive OR: exactly one of A or B is true. 5 Material implication: A being true guarantees B. 6 Biconditional: A and B share the same truth value. 7 Universal quantifier. 8 Existential quantifier. 9 Uniqueness quantifier. 10 A is a subset of B. 11 A is contained in B, but not equal to B. 12 A is inside set B. 13 A is not an element of B. 14 Tautology. 15 Contradiction. 16 A logically implies B 17 A is logically equivalent to B 22 Not 23 And 24 Inclusive OR 25 Exclusive OR 26 If, then 27 If and only if 28 ⊆ 29 ⊂ 30 ∈ 31 ∉ 32 True 33 False

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀Online version

by LBoomsky Minecraft

¬A "not A"

A ∧ B "A and B"

A ∨ B "A or B (inclusive)"

A ⊕ B "A or B (exclusive)"

A → B "if A then B"

A ↔ B "A if and only if B"

∀x P(x) "for all x, P(x)"

∃x P(x) "there exists an x such that P(x)"

∃!x P(x) "there exists exactly one x such that P(x)"

A ⊆ B "A is a subset of B"

A ⊂ B "A is a proper subset of B"

A ∈ B "A is an element of B"

A ∉ B "A is not an element of B"

⊤ "true"

⊥ "false"

A ⟹ B "A logically implies B"

A ⟺ B "A is logically equivalent to B"

Sedeprivationism: Vatican 2 Popes hold the office of the papacy materially but not formally. Sedevacantism "Totalism": Vatican 2 Popes do not hold the office of the pope in any form.

Heresy: A denial of a dogma of the catholic church. Notorious/Public/Manifest Heresy: Heresy one has shown externally. Occult Heresy: Heresy one believes personally.

The sort of manifest heresy in which the church has issued a declaration condemning the individual as a heretic

The sort of manifest heresy in which the person publicly holds heresy in such a way no argument can be made for their innocence of it.

¬

∧

∨

⊕

→

↔

Is a subset of

Is a proper subset of

Is an element of

Is not an element of

⊤

⊥