Math Homework. Do It Faster, Learn It Better.
Law of Syllogism
In mathematical logic, the Law of Syllogism says that if the following two statements are true:
(1)If, then.
(2)If, then.
Then we can derive a third true statement:
(3)If, then.
Example:
If the following statements are true, use the Law of Syllogism to derive a new true statement.
1) If it snows today, then I will wear my gloves.
2) If I wear my gloves, my fingers will get itchy.
Letbe the statement "it snows today", letbe the statement "I wear my gloves", and letbe the statement "my fingers get itchy".
Then (1) and (2) can be written
1) If, then.
2) If, then.
So, by the Law of Syllogism, we can deduce
3) If, then
or
If it snows today, my fingers will get itchy.