# Definition:Assumption

## Contents

## Definition

An **assumption** is a statement which is introduced into an argument, whose truth value is (temporarily) accepted as True.

In mathematics, the keyword **let** is often the indicator here that an assumption is going to be introduced.

For example:

**Let $p$**(be true) ...

can be interpreted, in natural language, as:

**Let us assume, for the sake of argument, that $p$ is true**...

## Also defined as

Some authors use the term **assumption** to mean the antecedent of a conditional statement.

## Also see

- Definition:Axiom: a statement whose truth (in a particular mathematical context) is accepted beyond doubt or question.
- Definition:Premise: a statement which is specifically used for the purpose of deriving a conclusion.

## Sources

- 1965: E.J. Lemmon:
*Beginning Logic*... (previous) ... (next): $\S 1.2$: Conditionals and Negation