Exam 12: Explorations in Deductive Reasoning: Categorical Logic

The O sentence is universal and affirmative.

Venn lived in the nineteenth century.

Some standard categorical syllogisms contain two conclusions.

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 people just don't get it.

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) -Prunes are groovy.

The O sentence is:

Every standard categorical syllogism contains exactly four different terms.

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) -Most cats are tame.

The X in a Venn diagram marks the spot where the treasure is buried, as in, "X marks the spot."

Every standard categorical syllogism contains exactly two premises.

Boole lived in the nineteenth century.

John Venn is the inventor of the method of Venn diagrams.

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) -Whales can grow to be pretty big.

The Venn diagram method differs from Aristotle's method in that Aristotle's method did not allow us to visualize, on a diagram, the information content of a syllogism.

The A sentence is:

Use Venn diagrams to test the following arguments for validity. -Some actors are romantics. Some pilots are not actors. So some pilots are not romantics. Invalid

Use Venn diagrams to test the following arguments for validity. -Some musicians are not skateboarders. All musicians are happy persons. Therefore, some happy persons are not skateboarders. Valid

A particular statement makes a claim about one or more members of a group.

Use Venn diagrams to test the following arguments for validity. -All truckers are happy persons. No prisoners are happy persons. Thus, no prisoners are truckers. Valid

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) -There are rich communists.