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Mental facts, which he approached from the side of abstracted reflection and Platonic ideas, seemed to him obviously non-extended, even when they represented extension; and with them mechanism could have nothing to do. Descartes had recovered in the science of mechanics a firm nucleus for physical theory, a stronghold from which it had become impossible to dislodge scientific methods.
The space itself is not supposed to be in the mind; how can a collection of non-extended ideas give any inkling of what is meant by extension? Would any teacher of mathematics dream of discussing these questions with his class before proceeding to the proof of his propositions?
Suppose that we say to him: You have spent many years in dividing up space and in scrutinizing the relations that are to be discovered in that realm; now tell us, what is space? Is it real? Is it a thing, or a quality of a thing, or merely a relation between things? And how can any man think space, when the ideas through which he must think it are supposed to be themselves non-extended?