Exam 14: Syllogistic Logic

Sorites. Translate the following sorites into standard form and test for validity: -There are dogs that are cats. There are no cats that are nonfelines. All monkeys are nonfelines. $/ \therefore$ There are dogs that aren't monkeys.

(Short Answer)

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Question 21

Multiple choice: Assume existential import -The proposition "Some nonscientists are nonphilosophers" is equivalent to:

(Multiple Choice)

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Question 22

Multiple choice: Assume existential import -The proposition "All scientists are philosophers" entails:

(Multiple Choice)

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Question 23

True-False -"All scientists are philosophers" and "No scientists are philosophers" are contradictories.

(True/False)

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Question 24

Inference: Answer the following questions, not assuming existential import -Suppose it is false that "No logicians are mathematicians." Then what can be said about the truth value of the following sentences? a. Some logicians are not mathematicians b. Some logicians are mathematicians c. All logicians are mathematicians d. All logicians are nonmathematicians e. All mathematicians are nonlogicians f. No mathematicians are logicians g. Some mathematicians are logicians h. Some logicians are nonmathematicians

(Short Answer)

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Question 25

Syllogisms Put the following into standard syllogistic form and test for validity, using either the five rules for valid syllogism or Venn diagrams: -Due to the fact that logicians are brilliant but scientists are not brilliant, some scientists are nonlogicians.

(Short Answer)

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Question 26

Syllogisms Put the following into standard syllogistic form and test for validity, using either the five rules for valid syllogism or Venn diagrams: -All logicians live in the United States, but some philosophers dwell elsewhere; so some philosophers are nonlogicians.

(Short Answer)

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Question 27

True-False -The subject term of "Some scientists are philosophers" is not distributed.

(True/False)

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Question 28

Sorites. Translate the following sorites into standard form and test for validity: -No teachers are good teachers. Art is a logician. No one who is not a good teacher is a logician. $/ \therefore$ Art is not a teacher.

(Short Answer)

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Question 29

General Theory -a. If we interpret the sentence "All scientists are philosophers" so that it is correctly symbolized by , then why will "All scientists are philosophers" not imply "Some scientists are philosophers"? b. If we interpret “All scientists are philosophers” so that it has existential import, then does “All scientists are philosophers” imply “Some scientists are philosophers” or not? (Defend your answer.)

(Short Answer)

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Question 30

Syllogisms Put the following into standard syllogistic form and test for validity, using either the five rules for valid syllogism or Venn diagrams: -It follows from the fact that no mathematicians are logicians that Art is not a mathematician, since Art is a logician.

(Short Answer)

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Question 31

Inference: Answer the following questions, not assuming existential import -Suppose it is false that "Some logicians are mathematicians." Then what can be said about the truth value of the following sentences? a. Some logicians are not mathematicians b. No logicians are mathematicians c. All logicians are mathematicians d. All logicians are nonmathematicians e. All mathematicians are nonlogicians f. No mathematicians are logicians g. Some mathematicians are logicians h. Some mathematicians are not nonlogicians

(Short Answer)

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Question 32

Showing 21 - 32 of 32

Sorites. Translate the following sorites into standard form and test for validity: -There are dogs that are cats. There are no cats that are nonfelines. All monkeys are nonfelines. $/ \therefore$ There are dogs that aren't monkeys.

Multiple choice: Assume existential import -The proposition "Some nonscientists are nonphilosophers" is equivalent to:

Multiple choice: Assume existential import -The proposition "All scientists are philosophers" entails:

True-False -"All scientists are philosophers" and "No scientists are philosophers" are contradictories.

Syllogisms Put the following into standard syllogistic form and test for validity, using either the five rules for valid syllogism or Venn diagrams: -Due to the fact that logicians are brilliant but scientists are not brilliant, some scientists are nonlogicians.

Syllogisms Put the following into standard syllogistic form and test for validity, using either the five rules for valid syllogism or Venn diagrams: -All logicians live in the United States, but some philosophers dwell elsewhere; so some philosophers are nonlogicians.

True-False -The subject term of "Some scientists are philosophers" is not distributed.

Sorites. Translate the following sorites into standard form and test for validity: -No teachers are good teachers. Art is a logician. No one who is not a good teacher is a logician. $/ \therefore$ Art is not a teacher.

Syllogisms Put the following into standard syllogistic form and test for validity, using either the five rules for valid syllogism or Venn diagrams: -It follows from the fact that no mathematicians are logicians that Art is not a mathematician, since Art is a logician.

Introduction

Symbolizing in Sentential Logic

Truth Tables

Proofs Without CP or IP

Proofs With CP or IP

Sentential Logic Truth Trees

Predicate Logic Symbolization

Predicate Logic Semantics

Predicate Logic Proofs

Relational Predicate Logic

Quantifier Rules Theory

Predicate Logic Truth Trees

Identity

Informal Fallacies

Inductive Logic

Axiom Systems

Filters

Exam 14: Syllogistic Logic

Sorites. Translate the following sorites into standard form and test for validity: -There are dogs that are cats. There are no cats that are nonfelines. All monkeys are nonfelines. /∴ / \therefore/∴ There are dogs that aren't monkeys.

Multiple choice: Assume existential import -The proposition "Some nonscientists are nonphilosophers" is equivalent to:

Multiple choice: Assume existential import -The proposition "All scientists are philosophers" entails:

True-False -"All scientists are philosophers" and "No scientists are philosophers" are contradictories.

Syllogisms Put the following into standard syllogistic form and test for validity, using either the five rules for valid syllogism or Venn diagrams: -Due to the fact that logicians are brilliant but scientists are not brilliant, some scientists are nonlogicians.

Syllogisms Put the following into standard syllogistic form and test for validity, using either the five rules for valid syllogism or Venn diagrams: -All logicians live in the United States, but some philosophers dwell elsewhere; so some philosophers are nonlogicians.

True-False -The subject term of "Some scientists are philosophers" is not distributed.

Sorites. Translate the following sorites into standard form and test for validity: -No teachers are good teachers. Art is a logician. No one who is not a good teacher is a logician. /∴ / \therefore/∴ Art is not a teacher.

Syllogisms Put the following into standard syllogistic form and test for validity, using either the five rules for valid syllogism or Venn diagrams: -It follows from the fact that no mathematicians are logicians that Art is not a mathematician, since Art is a logician.

Introduction

Symbolizing in Sentential Logic

Truth Tables

Proofs Without CP or IP

Proofs With CP or IP

Sentential Logic Truth Trees

Predicate Logic Symbolization

Predicate Logic Semantics

Predicate Logic Proofs

Relational Predicate Logic

Quantifier Rules Theory

Predicate Logic Truth Trees

Identity

Informal Fallacies

Inductive Logic

Axiom Systems

Filters

Sorites. Translate the following sorites into standard form and test for validity: -There are dogs that are cats. There are no cats that are nonfelines. All monkeys are nonfelines. $/ \therefore$ There are dogs that aren't monkeys.

Sorites. Translate the following sorites into standard form and test for validity: -No teachers are good teachers. Art is a logician. No one who is not a good teacher is a logician. $/ \therefore$ Art is not a teacher.