3.6 Euler Diagrams and Syllogistic Arguments

Question 1

Syllogistic argument/syllogism

Answer 1

Another form of an argument, validity is determined by suing Euler diagrams; a deductive process; “all are, some are, none are, some are not”

Question 2

“All”

Answer 2

If an element is in set A, then it is in set B. (A is a subset of B; aka A circle inside B circle)

Question 3

“No”

Answer 3

If an element is in set A, then it is not in set B. (A and B are disjoints; circle A and circle B not touching)

Question 4

“Some… are…”

Answer 4

There is at least one element that is in both set A and set B; (A intersects B; circle A overlaps circle B in one part)

Question 5

“Some… are not…”

Answer 5

There is at least one element that is in set A that is not in set B; (element in A only, but overlaps B)