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:
“Such is oftenest the young man’s introduction to the forest, and the most original part of himself. He goes thither at first as a hunter and fisher, until at last, if he has the seeds of a better life in him, he distinguishes his proper objects, as a poet or naturalist it may be, and leaves the gun and fish-pole behind. The mass of men are still and always young in this respect.”
—Henry David Thoreau (1817–1862)
“To reduce the imagination to a state of slavery—even though it would mean the elimination of what is commonly called happiness—is to betray all sense of absolute justice within oneself. Imagination alone offers me some intimation of what can be.”
—André Breton (1896–1966)
“Today the tyrant rules not by club or fist, but, disguised as a market researcher, he shepherds his flocks in the ways of utility and comfort.”
—Marshall McLuhan (1911–1980)