Question 1

According to the text, logic played a role in the invention of the computer.

Accepted Answer

Logic, particularly mathematical logic, was foundational in the development of computational theory, which led to the invention of computers. Figures like Alan Turing and George Boole applied logical concepts to create the theoretical frameworks for computing.

Question 2

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

Accepted Answer

The sentence "All dogs are mammals" is a universal affirmation, meaning it states that every member of the subject class (dogs) is also a member of the predicate class (mammals). This corresponds to the logical form "All S are P."

Question 3

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

Accepted Answer

The sentence "Some dogs are pets" is a particular affirmation, indicating that at least one member of the subject class (dogs) is also a member of the predicate class (pets), which corresponds to the logical form "Some S are P."

Question 4

Is the sentence an A, E, I, or O sentence?
-Some dogs are not pets.

Accepted Answer

The sentence "Some dogs are not pets" is a particular negation, indicating that it does not apply universally but to some instances, fitting the definition of an O sentence.

Question 5

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

Accepted Answer

The sentence "No dogs are fish" is a universal negation, meaning it states that there are no instances where the subject (dogs) and the predicate (fish) overlap. This corresponds to the logical form "No S are P."

Question 6

The A sentence is:

Accepted Answer

The sentence is described as "universal and affirmative" because it applies to all members of a category and asserts something positive about them.

Question 7

The E sentence is:

Accepted Answer

The E sentence is a universal and negative statement, which means it makes a claim about all members of a category and denies something about them.

Question 8

The I sentence is:

Accepted Answer

The "I" sentence in traditional logic refers to a particular affirmative proposition, indicating that some members of a category have a certain property.

Question 9

The O sentence is:

Accepted Answer

The O sentence is a particular negative statement in traditional logic, indicating that some members of a category do not belong to another category.

Question 10

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 heavy metal rockers have long hair.

Accepted Answer