Which rule is used in the following inference? $\begin{array} { l } { [ ( A \cdot B ) \cup ( C \supset D ) ] v ( E \supset F ) } \\ \underline{\sim ( E \supset F )} \\ ( A \cdot B ) v ( C \supset D ) \end{array}$

A) Simp B) Conj C) Add D) DS E) HS A) Simp B) Conj C) Add D) DS E) HS

Which rule is used in the following inference? \[\begin{array} { l } A \supset ( D \vee F ) \\ ( D \vee F ) \supset G \\ A \supset G \end{array}\]

A) HS B) MP C) MT D) CD E) DD A) HS B) MP C) MT D) CD E) DD

Which rule is used in the following inference? $\begin{array} { l } F \supset G \\ \sim A \vee ( F \supset G ) \end{array}$

A) Simp B) Conj C) Add D) DS E) HS A) Simp B) Conj C) Add D) DS E) HS

Use a short form truth table to answer the following question.Which, if any, set of truth values assigned to the atomic sentences shows that the following argument is invalid? \[\begin{array} { l } ( \mathrm { B } \cdot \mathrm { C } ) \supset \mathrm { F } \\ ( \mathrm { F } \cdot \mathrm { E } ) \supset ( \mathrm { J } \cdot \mathrm { P } ) \\ ( \mathrm { B } \cdot \mathrm { C } ) \supset \mathrm { P } \end{array}\]

A) B: T C: T F: T E: T J: T P: F B) B: T C: T F: T E: F J: T P: F C) B: F C: T F: T E: F J: F P: F D) B: F C: F F: F E: F J: F P: F E) None-the argument is valid. A) B: T C: T F: T E: T J: T P: F B) B: T C: T F: T E: F J: T P: F C) B: F C: T F: T E: F J: F P: F D) B: F C: F F: F E: F J: F P: F E) None-the argument is valid.

Which rule is used in the following inference? $\begin{array} { l } ( \mathrm { A } \supset \mathrm { B } ) \cdot ( \sim \mathrm { E } \vee \mathrm { G } ) \\ \underline{( \mathrm { C } \equiv \sim \mathrm { D } ) \vee ( \mathrm { F } \bullet \sim \mathrm { G } )} \\ { [ ( \mathrm { A } \supset \mathrm { B } ) \cdot ( \sim \mathrm { E } \vee \mathrm { G } ) ] \cdot [ ( \mathrm { C } \equiv \sim \mathrm { D } ) \vee ( \mathrm { F } \cdot \sim \mathrm { G } ) ] } \end{array}$

A) Simp B) Conj C) Add D) DS E) HS A) Simp B) Conj C) Add D) DS E) HS

Which rule is used in the following inference? \[\begin{array} { l } ( \mathrm { D } \vee \mathrm { E } ) \cup ( \mathrm { F } \cdot \mathrm { G } ) \\ ?\frac { ( \mathrm { F } \cdot \mathrm { G } ) } { \mathrm { D } \vee \mathrm { E } } \end{array}\]

A) Simp B) Conj C) Add D) DS E) HS A) Simp B) Conj C) Add D) DS E) HS

Which rule is used in the following inference? \[\begin{array} { l } { [ ( A \supset B ) \vee ( C \supset B ) ] \supset \sim ( \sim A \cdot \sim C ) } \\ ( A \supset B ) \vee ( C \supset B ) \\ \sim ( \sim A \cdot \sim C ) \end{array}\]

A) HS B) MP C) MT D) CD E) DD A) HS B) MP C) MT D) CD E) DD

The following argument is an instance of one of the five inference forms MP, MT, HS, DS, Conj.Identify the form. \[\begin{array} { l } ( \mathrm { M } \supset \mathrm { P } ) \supset ( \mathrm { L } \vee \mathrm { S } ) \\ ( \mathrm { L } \vee \mathrm { S } ) \supset ( \mathrm { T } \equiv W ) \\ ( \mathrm { M } \supset \mathrm { P } ) \supset ( \mathrm { T } \equiv W ) \end{array}\]

A) MP B) MT C) HS D) DS E) Conj A) MP B) MT C) HS D) DS E) Conj

The following argument is an instance of one of the five inference forms MP, MT, HS, DS, Conj.Identify the form. \[\begin{array} { l } ( U \cup W ) \supset S \\ S \supset C \\ ( U \vee W ) \supset C \end{array}\]

A) MP B) MT C) HS D) DS E) Conj A) MP B) MT C) HS D) DS E) Conj

Which, if any, of the following proofs are correct demonstrations of the validity of this argument? $\begin{array}{l} \frac { ( P \cdot Q ) \cdot ( R \vee S ) } { Q }\\ \text { Proof } 1\\ \begin{array} { l l l } ( 1 ) ( P \cdot Q ) \cdot ( R \vee S ) & / Q & \text { Premise/Conclusion } \\ \text { (2) } P \cdot Q & & 1 \mathrm { Simp } \\ \text { (3) } R \vee S & & 1 \mathrm { Simp } \\ \text { (4) } P & & 2 \mathrm { Simp } \\ \text { (5) } Q & & 2 \mathrm { Simp } \\ \text { Proof } 2 & & \\ \text { (1) } ( \mathrm { P } \cdot \mathrm { Q } ) \cdot ( \mathrm { R } \vee \mathrm { S } ) & / \mathrm { Q } & \text { Premise/Conclusion } \\ \text { (2) } P \cdot Q & & 1 \mathrm { Simp } \\ \text { (3) } Q & & 2 \mathrm { Simp } \end{array} \end{array}$

A) Proof 1 B) Proof 2 C) Proofs 1 and 2 D) Neither proof E) Not enough information is provided because proofs are incomplete. A) Proof 1 B) Proof 2 C) Proofs 1 and 2 D) Neither proof E) Not enough information is provided because proofs are incomplete.

Which rule is used in the following inference? \[\begin{array} { l } ( B \cdot C ) \vee D \\ \sim \mathrm { D } \\ B \cdot C \end{array}\]

A) Simp B) Conj C) Add D) DS E) HS A) Simp B) Conj C) Add D) DS E) HS

The following argument is an instance of one of the five inference forms MP, MT, HS, DS, Conj.Identify the form. \[\begin{array} { l } \mathrm { M } \equiv \mathrm { O } \\ ( \mathrm { M } \equiv \mathrm { O } ) \supset ( \mathrm { F } \cdot \mathrm { R } ) \\ \mathrm { F } \cdot \mathrm { R } \end{array}\]

A) MP B) MT C) HS D) DS E) Conj A) MP B) MT C) HS D) DS E) Conj

Exam 10: Propositional Logic-Arguments

The following argument is an instance of one of the five inference forms Simp, Conj, Add, CD, DD.Identify the form. $\frac { S \bullet \sim F } { P \vee ( S \cdot \sim F ) }$

(Multiple Choice)

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Question 41

Which rule is used in the following inference? [(A\cdotB)\cup(C\supsetD)]v(E\supsetF) (A\cdotB)v(C\supsetD)

(Multiple Choice)

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Question 42

The following argument is an instance of one of the five inference forms Simp, Conj, Add, CD, DD.Identify the form. R

(Multiple Choice)

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Question 43

Which rule is used in the following inference? A\supset(D\veeF) (D\veeF)\supsetG A\supsetG

(Multiple Choice)

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Question 44

Which rule is used in the following inference? F\supsetG \simA\vee(F\supsetG)

(Multiple Choice)

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Question 45

The following argument is an instance of one of the five inference forms MP, MT, HS, DS, Conj.Identify the form.

(Multiple Choice)

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Question 46

Use a short form truth table to answer the following question.Which, if any, set of truth values assigned to the atomic sentences shows that the following argument is invalid? (\cdot)\supset (\cdot)\supset(\cdot) (\cdot)\supset

(Multiple Choice)

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Question 47

Use a truth table to answer the following question.Which, if any, set of truth values assigned to the atomic sentences shows that the following argument is invalid? $\frac { \sim \mathrm { M } } { \mathrm { M \supset N }}$

(Multiple Choice)

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Question 48

Which rule is used in the following inference? (\supset)\cdot(\sim\vee) [(\supset)\cdot(\sim\vee)]\cdot[(\equiv\sim)\vee(\cdot\sim)]

(Multiple Choice)

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Question 49

Use a short form truth table to answer the following question.Which, if any, set of truth values assigned to the atomic sentences shows that the following argument is invalid? (\bullet\sim)\supset(\vee) \sim \sim \sim

(Multiple Choice)

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Question 50

Which rule is used in the following inference? (\vee)\cup(\cdot) ?

(Multiple Choice)

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Question 51

Which rule is used in the following inference? [(A\supsetB)\vee(C\supsetB)]\supset\sim(\simA\cdot\simC) (A\supsetB)\vee(C\supsetB) \sim(\simA\cdot\simC)

(Multiple Choice)

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Question 52

The following argument is an instance of one of the five inference forms Simp, Conj, Add, CD, DD.Identify the form. $\frac { \sim ( \mathrm { S } \supset \mathrm { N } ) } { ( \mathrm { P } \equiv \mathrm { S } ) \vee \sim ( \mathrm { S } \supset \mathrm { N } ) }$

(Multiple Choice)

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Question 53

Use a truth table to answer the following question.Which, if any, set of truth values assigned to the atomic sentences shows that the following argument is invalid? $\frac { B \cdot A } { A }$

(Multiple Choice)

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Question 54

The following argument is an instance of one of the five inference forms MP, MT, HS, DS, Conj.Identify the form. (\supset)\supset(\vee) (\vee)\supset(\equivW) (\supset)\supset(\equivW)

(Multiple Choice)

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Question 55

The following argument is an instance of one of the five inference forms MP, MT, HS, DS, Conj.Identify the form. (U\cupW)\supsetS S\supsetC (U\veeW)\supsetC

(Multiple Choice)

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Question 56

Which, if any, of the following proofs are correct demonstrations of the validity of this argument? Proof 1 (1)(P\cdotQ)\cdot(R\veeS) /Q Premise/Conclusion (2) P\cdotQ 1 (3) R\veeS 1 (4) P 2 (5) Q 2 Proof 2 (1) (\cdot)\cdot(\vee) / Premise/Conclusion (2) P\cdotQ 1 (3) Q 2

(Multiple Choice)

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Question 57

Use a truth table to answer the following question.Which, if any, set of truth values assigned to the atomic sentences shows that the following argument is invalid? A\cupB

(Multiple Choice)

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Question 58

Which rule is used in the following inference? (B\cdotC)\veeD \sim B\cdotC

(Multiple Choice)

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Question 59

The following argument is an instance of one of the five inference forms MP, MT, HS, DS, Conj.Identify the form. \equiv (\equiv)\supset(\cdot) \cdot

(Multiple Choice)

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Question 60

The following argument is an instance of one of the five inference forms Simp, Conj, Add, CD, DD.Identify the form. $\frac { S \bullet \sim F } { P \vee ( S \cdot \sim F ) }$

Which rule is used in the following inference? [(A\cdotB)\cup(C\supsetD)]v(E\supsetF) (A\cdotB)v(C\supsetD)

The following argument is an instance of one of the five inference forms Simp, Conj, Add, CD, DD.Identify the form. R

Which rule is used in the following inference? A\supset(D\veeF) (D\veeF)\supsetG A\supsetG

Which rule is used in the following inference? F\supsetG \simA\vee(F\supsetG)

The following argument is an instance of one of the five inference forms MP, MT, HS, DS, Conj.Identify the form.

Use a short form truth table to answer the following question.Which, if any, set of truth values assigned to the atomic sentences shows that the following argument is invalid? (\cdot)\supset (\cdot)\supset(\cdot) (\cdot)\supset

Use a truth table to answer the following question.Which, if any, set of truth values assigned to the atomic sentences shows that the following argument is invalid? $\frac { \sim \mathrm { M } } { \mathrm { M \supset N }}$

Which rule is used in the following inference? (\supset)\cdot(\sim\vee) [(\supset)\cdot(\sim\vee)]\cdot[(\equiv\sim)\vee(\cdot\sim)]

Use a short form truth table to answer the following question.Which, if any, set of truth values assigned to the atomic sentences shows that the following argument is invalid? (\bullet\sim)\supset(\vee) \sim \sim \sim

Which rule is used in the following inference? (\vee)\cup(\cdot) ?

Which rule is used in the following inference? [(A\supsetB)\vee(C\supsetB)]\supset\sim(\simA\cdot\simC) (A\supsetB)\vee(C\supsetB) \sim(\simA\cdot\simC)

The following argument is an instance of one of the five inference forms Simp, Conj, Add, CD, DD.Identify the form. $\frac { \sim ( \mathrm { S } \supset \mathrm { N } ) } { ( \mathrm { P } \equiv \mathrm { S } ) \vee \sim ( \mathrm { S } \supset \mathrm { N } ) }$

Use a truth table to answer the following question.Which, if any, set of truth values assigned to the atomic sentences shows that the following argument is invalid? $\frac { B \cdot A } { A }$

The following argument is an instance of one of the five inference forms MP, MT, HS, DS, Conj.Identify the form. (\supset)\supset(\vee) (\vee)\supset(\equivW) (\supset)\supset(\equivW)

The following argument is an instance of one of the five inference forms MP, MT, HS, DS, Conj.Identify the form. (U\cupW)\supsetS S\supsetC (U\veeW)\supsetC

Which, if any, of the following proofs are correct demonstrations of the validity of this argument? Proof 1 (1)(P\cdotQ)\cdot(R\veeS) /Q Premise/Conclusion (2) P\cdotQ 1 (3) R\veeS 1 (4) P 2 (5) Q 2 Proof 2 (1) (\cdot)\cdot(\vee) / Premise/Conclusion (2) P\cdotQ 1 (3) Q 2

Use a truth table to answer the following question.Which, if any, set of truth values assigned to the atomic sentences shows that the following argument is invalid? A\cupB

Which rule is used in the following inference? (B\cdotC)\veeD \sim B\cdotC

The following argument is an instance of one of the five inference forms MP, MT, HS, DS, Conj.Identify the form. \equiv (\equiv)\supset(\cdot) \cdot

Classification

Definitions

Propositions

Argument Analysis

Fallacies

Categorical Propositions

Categorical Syllogisms

Reasoning With Syllogisms

Propositional Logic-Propositions

Predicate Logic

Inductive Generalizations

Argument by Analogy

Statistical Reasoning

Explanation

Probability

Filters

Exam 10: Propositional Logic-Arguments

The following argument is an instance of one of the five inference forms Simp, Conj, Add, CD, DD.Identify the form. S∙∼FP∨(S⋅∼F)\frac { S \bullet \sim F } { P \vee ( S \cdot \sim F ) }P∨(S⋅∼F)S∙∼F​

Which rule is used in the following inference? [(A\cdotB)\cup(C\supsetD)]v(E\supsetF) (A\cdotB)v(C\supsetD)

The following argument is an instance of one of the five inference forms Simp, Conj, Add, CD, DD.Identify the form. R

Which rule is used in the following inference? A\supset(D\veeF) (D\veeF)\supsetG A\supsetG

Which rule is used in the following inference? F\supsetG \simA\vee(F\supsetG)

The following argument is an instance of one of the five inference forms MP, MT, HS, DS, Conj.Identify the form.

Use a short form truth table to answer the following question.Which, if any, set of truth values assigned to the atomic sentences shows that the following argument is invalid? (\cdot)\supset (\cdot)\supset(\cdot) (\cdot)\supset

Use a truth table to answer the following question.Which, if any, set of truth values assigned to the atomic sentences shows that the following argument is invalid? ∼MM⊃N\frac { \sim \mathrm { M } } { \mathrm { M \supset N }}M⊃N∼M​

Which rule is used in the following inference? (\supset)\cdot(\sim\vee) [(\supset)\cdot(\sim\vee)]\cdot[(\equiv\sim)\vee(\cdot\sim)]

Use a short form truth table to answer the following question.Which, if any, set of truth values assigned to the atomic sentences shows that the following argument is invalid? (\bullet\sim)\supset(\vee) \sim \sim \sim

Which rule is used in the following inference? (\vee)\cup(\cdot) ?

Which rule is used in the following inference? [(A\supsetB)\vee(C\supsetB)]\supset\sim(\simA\cdot\simC) (A\supsetB)\vee(C\supsetB) \sim(\simA\cdot\simC)

Use a truth table to answer the following question.Which, if any, set of truth values assigned to the atomic sentences shows that the following argument is invalid? B⋅AA\frac { B \cdot A } { A }AB⋅A​

The following argument is an instance of one of the five inference forms MP, MT, HS, DS, Conj.Identify the form. (\supset)\supset(\vee) (\vee)\supset(\equivW) (\supset)\supset(\equivW)

The following argument is an instance of one of the five inference forms MP, MT, HS, DS, Conj.Identify the form. (U\cupW)\supsetS S\supsetC (U\veeW)\supsetC

Which, if any, of the following proofs are correct demonstrations of the validity of this argument? Proof 1 (1)(P\cdotQ)\cdot(R\veeS) /Q Premise/Conclusion (2) P\cdotQ 1 (3) R\veeS 1 (4) P 2 (5) Q 2 Proof 2 (1) (\cdot)\cdot(\vee) / Premise/Conclusion (2) P\cdotQ 1 (3) Q 2

Use a truth table to answer the following question.Which, if any, set of truth values assigned to the atomic sentences shows that the following argument is invalid? A\cupB

Which rule is used in the following inference? (B\cdotC)\veeD \sim B\cdotC

The following argument is an instance of one of the five inference forms MP, MT, HS, DS, Conj.Identify the form. \equiv (\equiv)\supset(\cdot) \cdot

Classification

Definitions

Propositions

Argument Analysis

Fallacies

Categorical Propositions

Categorical Syllogisms

Reasoning With Syllogisms

Propositional Logic-Propositions

Predicate Logic

Inductive Generalizations

Argument by Analogy

Statistical Reasoning

Explanation

Probability

Filters

The following argument is an instance of one of the five inference forms Simp, Conj, Add, CD, DD.Identify the form. $\frac { S \bullet \sim F } { P \vee ( S \cdot \sim F ) }$

Use a truth table to answer the following question.Which, if any, set of truth values assigned to the atomic sentences shows that the following argument is invalid? $\frac { \sim \mathrm { M } } { \mathrm { M \supset N }}$

Use a truth table to answer the following question.Which, if any, set of truth values assigned to the atomic sentences shows that the following argument is invalid? $\frac { B \cdot A } { A }$