A mathematical science is any body of propositions which is capable of an abstract formulation and arrangement in such a way that every proposition of the set after a certain one is a formal logical consequence of some or all the preceding propositions. Mathematics consists of all such mathematical sciences.


Lectures on Fundamental Concepts of Algebra and Geometry, (p. 122)


A mathematical science is any body of propositions which is capable of an abstract formulation and arrangement in such a way that every proposition...

A mathematical science is any body of propositions which is capable of an abstract formulation and arrangement in such a way that every proposition...

A mathematical science is any body of propositions which is capable of an abstract formulation and arrangement in such a way that every proposition...

A mathematical science is any body of propositions which is capable of an abstract formulation and arrangement in such a way that every proposition...