The purpose of this write up is fourfold:
to provide an insight into the connections between the concepts denoted by the terms machine, mechanical, and mechanism in scientific inquiry,
to explore the connections between mathematics, philosophy, science, and technology in Ancient Greece, especially as illustrated in Archimedes,
to use both (a) and (b) shed light on the use of the expression “mechanical view” in The Evolution of Physics by Einstein and Infeld , and
to use (a)-(c) in pointing to possible math-science curriculum for that begins with secondary education, and proceeds to the strand of General Education at the Bachelor’s level, and will be of value as preparation for the reading of Einstein and Infeld, as well as researchers and research students in mathematics and science to understand the foundations concepts and ideas of ontology and epistemology that inform their practice.