Exam 12: Explorations in Deductive Reasoning: Categorical Logic

Use Venn diagrams to test the following arguments for validity. -All A are B. No B are C. Therefore, some C are A.

The Venn diagrams allow us to visually see whether an argument is valid or invalid.

The E sentence is universal and affirmative.

Every categorical sentence is either an A, E, I, or O sentence.

In a standard categorical syllogism, the major term appears once.

Use Venn diagrams to test the following arguments for validity. -All truck drivers are rugged individuals. Some farmers are rugged individuals. Therefore, some farmers are truck drivers. Invalid

Is the sentence an A, E, I, or O sentence? -Some dogs are pets.

Translate the following into standard form A, E, I, or O sentences: A: All S are P (universal affirmation) E: No S are P (universal negation) I: Some S are P (particular affirmation) O: Some S are not P (particular negation) -Many mammals eat meat.

Translate the following into standard form A, E, I, or O sentences: A: All S are P (universal affirmation) E: No S are P (universal negation) I: Some S are P (particular affirmation) O: Some S are not P (particular negation) -Quite a few hippies attended the concert.

A Venn diagram for two sentences contains ___ regions.

Translate the following into standard form A, E, I, or O sentences: A: All S are P (universal affirmation) E: No S are P (universal negation) I: Some S are P (particular affirmation) O: Some S are not P (particular negation) -Some rockers do not like the Rolling Stones.

The Boolean interpretation is due to George Boole.

Is the sentence an A, E, I, or O sentence? -All dogs are mammals.

Use Venn diagrams to test the following arguments for validity. -No truck drivers are musicians. All musicians are artistic persons. Consequently, no artistic persons are truck drivers. Invalid

The I sentence is universal and negative.

Aristotle and Venn fought a duel; Aristotle lost.

The I sentence is particular and affirmative.

Is the sentence an A, E, I, or O sentence? -No dogs are fish.

Translate the following into standard form A, E, I, or O sentences: A: All S are P (universal affirmation) E: No S are P (universal negation) I: Some S are P (particular affirmation) O: Some S are not P (particular negation) -Many dogs are mean.

Translate the following into standard form A, E, I, or O sentences: A: All S are P (universal affirmation) E: No S are P (universal negation) I: Some S are P (particular affirmation) O: Some S are not P (particular negation) -Maple trees are so pretty.