# Definition:Conjunction/Semantics of Conjunction

## Definition

Let $p \land q$ denotes the conjunction of two statements $p$ and $q$.

The **conjunction** is used to symbolise *any* statement in natural language such that two substatements are held to be true simultaneously.

Thus it is also used to symbolise the concept of **but** as well as **and**.

Thus $p \land q$ can be also interpreted as:

**$p$***and*$q$**$p$***but*$q$**$p$;***however*, $q$**$p$;***on the other hand*$q$*Not only*$p$*but also*$q$*Despite*$p$, $q$

## Sources

- 1973: Irving M. Copi:
*Symbolic Logic*(4th ed.) ... (previous) ... (next): $2.1$: Simple and Compound Statements - 1996: H. Jerome Keisler and Joel Robbin:
*Mathematical Logic and Computability*... (previous) ... (next): $\S 1.1$: Introduction