Which rule is used in the following inference? \[\begin{array} { l } \mathrm { J } \supset \mathrm { R } \\ \sim \mathrm { R } \\ \sim \mathrm { J } \end{array}\]

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? $\begin{array} { l } \mathrm { H } \supset \mathrm { I } \\ ( \mathrm { H } \supset \mathrm { I } ) \cup \sim ( \mathrm { K } \supset \mathrm { L } ) \end{array}$

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. $\begin{array} { l } \mathrm { T } \vee \mathrm { H } \\ \sim \mathrm { H } \\ \mathrm { T } \end{array}$

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. \[\begin{array} { l } { [ ( \mathrm { Y } \cdot \mathrm { A } ) \vee \sim \mathrm { N } ] \supset ( \mathrm { C } \cdot \mathrm { T } ) } \\ \underline{( \mathrm { C } \cdot \mathrm { T } ) \supset ( \mathrm { I } \vee \mathrm { N } )} \\ { [ ( \mathrm { Y } \cdot \mathrm { A } ) \vee \sim \mathrm { N } ] \supset ( \mathrm { I } \vee \mathrm { N } ) } \end{array}\]

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. \[\begin{array} { l } ( \mathrm { H } \cdot \mathrm { E } ) \supset ( \mathrm { T } \equiv \mathrm { H } ) \\ \sim ( \mathrm { T } \equiv \mathrm { H } ) \\ \sim ( \mathrm { H } \cdot \mathrm { E } ) \end{array}\]

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

Which rule is used in the following inference? \[\begin{array} { l } { [ ( Z \supset Y ) \cup ( Z \supset Y ) ] \supset [ \sim ( \sim A \cdot Z ) \supset ( \mathrm { X } \equiv Y ) ] } \\ ( Z \supset Y ) \cup ( Z \supset Y ) \\ \sim ( \sim A \cdot \sim ) \supset ( \mathrm { X } \equiv Y ) \end{array}\]

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 Simp, Conj, Add, CD, DD.Identify the form. $\begin{array} { l } \mathrm { M } \\ \frac { \mathrm { N } v {O} } { ( \mathrm { N } v \mathrm { O } ) \cdot \mathrm { M } } \end{array}$

A) Simp B) Conj C) Add D) CD E) DD A) Simp B) Conj C) Add D) CD E) DD

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? \[\begin{array} { l } ( \mathrm { J } \bullet \sim \mathrm { V } ) \supset ( \mathrm { R } \vee \mathrm { D } ) \\ \sim \mathrm { R } \\ \sim \mathrm { D } \\ \sim ( \mathrm { J } \bullet \sim \mathrm { V } ) \end{array}\]

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

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? \[\begin{array} { l } \mathrm { M } \supset \sim \mathrm { I } \\ \mathrm { I } \supset \sim \mathrm { M } \\ \mathrm { E } \supset \sim \mathrm { M } \\ \mathrm { H } \supset \mathrm { E } \\ \mathrm { H } \supset \mathrm { I } \end{array}\]

A) M: T I: T E: T H: T B) M: T I: T E: F H: F C) M: F I: F E: T H: T D) M: F I: F E: F H: F E) None-the argument is valid. A) M: T I: T E: T H: T B) M: T I: T E: F H: F C) M: F I: F E: T H: T D) M: F I: F E: F H: F E) None-the argument is valid.

The following argument is an instance of one of the five inference forms MP, MT, HS, DS, Conj.Identify the form. $\begin{array} { l } \mathrm { R } \cdot A \\ \frac { \mathrm { T } V \mathrm {~V} } { ( \mathrm { R } \cdot A ) \cdot ( \mathrm { T } \cup \mathrm { V } )} \end{array}$

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 Simp, Conj, Add, CD, DD.Identify the form. $\begin{array} { l } \mathrm { T } \cdot \mathrm { H } \\ ( \mathrm { T } \cdot \mathrm { H } ) \cup \sim \mathrm { T } \end{array}$

A) Simp B) Conj C) Add D) CD E) DD A) Simp B) Conj C) Add D) CD E) DD

Exam 10: Propositional Logic-Arguments

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? $\frac { C \cdot E } { E \cdot C }$

Free

(Multiple Choice)

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Question 1

Correct Answer:

Verified

E

The following argument is an instance of one of the five inference forms MP, MT, HS, DS, Conj.Identify the form. $( \mathrm { T } \cdot \mathrm { H } ) \vee \sim \mathrm { I }$ $\sim\sim \mathrm { I }$ $\mathrm { T } \cdot \mathrm { H }$

Free

(Multiple Choice)

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Question 2

Correct Answer:

Verified

D

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

Free

(Multiple Choice)

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Question 3

Correct Answer:

Verified

B

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 \supset

(Multiple Choice)

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Question 4

Which rule is used in the following inference? \supset \sim \sim

(Multiple Choice)

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Question 5

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

(Multiple Choice)

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Question 6

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? \supset

(Multiple Choice)

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Question 7

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? $\frac { [ ( C \cdot X ) \vee A ] \supset C } { C \supset [ ( X \vee A ) \supset C ] }$

(Multiple Choice)

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Question 8

Which rule is used in the following inference? \supset (\supset)\cup\sim(\supset)

(Multiple Choice)

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Question 9

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

(Multiple Choice)

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Question 10

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

(Multiple Choice)

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Question 11

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

(Multiple Choice)

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Question 12

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

(Multiple Choice)

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Question 13

Which rule is used in the following inference? [(Z\supsetY)\cup(Z\supsetY)]\supset[\sim(\simA\cdotZ)\supset(\equivY)] (Z\supsetY)\cup(Z\supsetY) \sim(\simA\cdot\sim)\supset(\equivY)

(Multiple Choice)

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Question 14

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

(Multiple Choice)

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Question 15

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? $\frac { Q } { P \supset Q }$

(Multiple Choice)

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Question 16

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(\bullet\sim)

(Multiple Choice)

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Question 17

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? \supset\sim \supset\sim \supset\sim \supset \supset

(Multiple Choice)

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Question 18

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

(Multiple Choice)

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Question 19

The following argument is an instance of one of the five inference forms Simp, Conj, Add, CD, DD.Identify the form. \cdot (\cdot)\cup\sim

(Multiple Choice)

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(31)

Question 20

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? $\frac { C \cdot E } { E \cdot C }$

The following argument is an instance of one of the five inference forms MP, MT, HS, DS, Conj.Identify the form. $( \mathrm { T } \cdot \mathrm { H } ) \vee \sim \mathrm { I }$ $\sim\sim \mathrm { I }$ $\mathrm { T } \cdot \mathrm { H }$

The following argument is an instance of one of the five inference forms Simp, Conj, Add, CD, DD.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 \supset

Which rule is used in the following inference? \supset \sim \sim

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

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? \supset

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? $\frac { [ ( C \cdot X ) \vee A ] \supset C } { C \supset [ ( X \vee A ) \supset C ] }$

Which rule is used in the following inference? \supset (\supset)\cup\sim(\supset)

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

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

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

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

Which rule is used in the following inference? [(Z\supsetY)\cup(Z\supsetY)]\supset[\sim(\simA\cdotZ)\supset(\equivY)] (Z\supsetY)\cup(Z\supsetY) \sim(\simA\cdot\sim)\supset(\equivY)

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

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? $\frac { Q } { P \supset Q }$

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(\bullet\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? \supset\sim \supset\sim \supset\sim \supset \supset

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

The following argument is an instance of one of the five inference forms Simp, Conj, Add, CD, DD.Identify the form. \cdot (\cdot)\cup\sim

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

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? C⋅EE⋅C\frac { C \cdot E } { E \cdot C }E⋅CC⋅E​

The following argument is an instance of one of the five inference forms MP, MT, HS, DS, Conj.Identify the form. (T⋅H)∨∼I( \mathrm { T } \cdot \mathrm { H } ) \vee \sim \mathrm { I }(T⋅H)∨∼I ∼∼I\sim\sim \mathrm { I }∼∼I T⋅H\mathrm { T } \cdot \mathrm { H }T⋅H

The following argument is an instance of one of the five inference forms Simp, Conj, Add, CD, DD.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 \supset

Which rule is used in the following inference? \supset \sim \sim

The following argument is an instance of one of the five inference forms Simp, Conj, Add, CD, DD.Identify the form. (S≡M)⋅(T⊃H)S≡M\frac { ( \mathrm { S } \equiv \mathrm { M } ) \cdot ( \mathrm { T } \supset \mathrm { H } ) } { \mathrm { S } \equiv \mathrm { M } }S≡M(S≡M)⋅(T⊃H)​

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? \supset

Which rule is used in the following inference? \supset (\supset)\cup\sim(\supset)

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

The following argument is an instance of one of the five inference forms Simp, Conj, Add, CD, DD.Identify the form. (T⊃S)⋅(F≡I)F≡I\frac { ( \mathrm { T } \supset \mathrm { S } ) \cdot ( \mathrm { F } \equiv \mathrm { I } ) } { \mathrm { F } \equiv \mathrm { I } }F≡I(T⊃S)⋅(F≡I)​

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

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

Which rule is used in the following inference? [(Z\supsetY)\cup(Z\supsetY)]\supset[\sim(\simA\cdotZ)\supset(\equivY)] (Z\supsetY)\cup(Z\supsetY) \sim(\simA\cdot\sim)\supset(\equivY)

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

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? QP⊃Q\frac { Q } { P \supset Q }P⊃QQ​

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(\bullet\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? \supset\sim \supset\sim \supset\sim \supset \supset

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

The following argument is an instance of one of the five inference forms Simp, Conj, Add, CD, DD.Identify the form. \cdot (\cdot)\cup\sim

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

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? $\frac { C \cdot E } { E \cdot C }$

The following argument is an instance of one of the five inference forms MP, MT, HS, DS, Conj.Identify the form. $( \mathrm { T } \cdot \mathrm { H } ) \vee \sim \mathrm { I }$ $\sim\sim \mathrm { I }$ $\mathrm { T } \cdot \mathrm { H }$

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

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

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? $\frac { Q } { P \supset Q }$