The Commens Dictionary

Quote from ‘On Dyadics: the Simplest Possible Mathematics’

Mathematics will here be understood to be the science which sets up hypotheses with a view to doing what it proceeds to do, namely, to deduce their consequences, and to study the methods of doing so. Pure Mathematics will be understood to be a kind of mathematics which, as far as possible, eliminates from its hypotheses all that does not concern the forms of deduction of consequences from them.