77

92

and some individual unit of the sam, such that
whatever quality there may be that is possessed by
that particular unit, that quality being of such a
nature that if it be possessed by any unit, say M, it is
necessarily possessed by a unit in that particular
relation to the unit M,— any quality I say of which
these two propositions hold is necessarily posessed by every
member of the collection. This is the property of
the denumeral multitude which is made use of in Fermatian reasoning,
a mode of reasoning that was invented by Pierre de Fermat,
who was born in 1601 and died in 1666, and
who was probably the greatest mathematical
genius that ever lived. He also invented the
mode of reasoning of the differential calculus.
Fermatian reasoning has to be used in order to