\begin{definition}[Definition:Inductive Argument]
An '''inductive argument''' is a form of argument in which, if all the premises are true, the conclusion is ''probably true'', but might not be. 
Such lines of reasoning are ubiquitous in everyday life and in most human endeavors.
However, '''inductive arguments''' are only conjectures in the field of mathematics.
Such arguments are not truth preserving and therefore they are not proofs.
\end{definition}