Syllogism: 'Only' and 'Only-a-few' Statements A syllogism is a logical argument that consists of two premises and a conclusion. The two premises are stateme...
Syllogism: 'Only' and 'Only-a-few' Statements
A syllogism is a logical argument that consists of two premises and a conclusion. The two premises are statements that are connected by a logical connective, and the conclusion is a statement that is implied by both premises.
Syllogism: 'Only' Statements
A syllogism with an "only" statement has the form:
Premise 1: Only A
Premise 2: Only B
Conclusion: A implies B
Syllogism: 'Only-a-few' Statements
A syllogism with an "only-a-few" statement has the form:
Premise 1: There are only a few A
Premise 2: There are only a few B
Conclusion: A implies B
Examples of 'Only' Statements
Premise 1: Every cat is an animal.
Premise 2: Every dog is an animal.
Conclusion: Therefore, every cat is a dog.
Examples of 'Only-a-few' Statements
Premise 1: There are only a few books in the library.
Premise 2: There are only a few people who read in the library.
Conclusion: Therefore, there are only a few books that are read in the library