# Conjunction, Disjunction

• Sep 27th 2007, 10:07 AM
DivideBy0
Conjunction, Disjunction
What's the difference between $\cap$ and $\wedge$, or $\cup$ and $\vee$?

So far I've interpreted $\wedge$ and $\vee$ as being used more in sentence structure, rather than for instance showing properties of sets. For instance would this be right?
$A=\lbrace 2,4,6 \rbrace \wedge B=\lbrace 4,5,6 \rbrace \implies A \cap B = \lbrace 4,6 \rbrace$
• Sep 27th 2007, 10:18 AM
Plato
Quote:

Originally Posted by DivideBy0
What's the difference between $\cap$ and $\wedge$, or $\cup$ and $\vee$?

The first of each pair is use in mathematical set theory.
The second has been used in traditional logic.
In fact, as a pair they denote the same concept.

Intersection implies being in both sets, AND.
Union imlpies being in at least one of the sets, OR.