Introduction and Elimination Rules
As a rule of inference, conjunction introduction is a classically valid, simple argument form. The argument form has two premises, A and B. Intuitively, it permits the inference of their conjunction.
- A,
- B.
- Therefore, A and B.
or in logical operator notation:
Here is an example of an argument that fits the form conjunction introduction:
- Bob likes apples.
- Bob likes oranges.
- Therefore, Bob likes apples and oranges.
Conjunction elimination is another classically valid, simple argument form. Intuitively, it permits the inference from any conjunction of either element of that conjunction.
- A and B.
- Therefore, A.
...or alternately,
- A and B.
- Therefore, B.
In logical operator notation:
...or alternately,
Read more about this topic: Logical Conjunction
Famous quotes containing the words introduction, elimination and/or rules:
“The role of the stepmother is the most difficult of all, because you can’t ever just be. You’re constantly being tested—by the children, the neighbors, your husband, the relatives, old friends who knew the children’s parents in their first marriage, and by yourself.”
—Anonymous Stepparent. Making It as a Stepparent, by Claire Berman, introduction (1980, repr. 1986)
“The kind of Unitarian
Who having by elimination got
From many gods to Three, and Three to One,
Thinks why not taper off to none at all.”
—Robert Frost (1874–1963)
“Under the rules of a society that cannot distinguish between profit and profiteering, between money defined as necessity and money defined as luxury, murder is occasionally obligatory and always permissible.”
—Lewis H. Lapham (b. 1935)