Sever Quotes (2 quotes)
Pieces almost always appear 'as parts' in whole processes. ... To sever a 'part from the organized whole in which it occurswhether it itself be a subsidiary whole or an elementis a very real process usually involving alterations in that part. Modifications of a part frequently involve changes elsewhere in the whole itself. Nor is the nature of these alterations arbitrary, for they too are determined by whole-conditions.
Mathematic is either Pure or Mixed: To Pure Mathematic belong those sciences which handle Quantity entirely severed from matter and from axioms of natural philosophy. These are two, Geometry and Arithmetic; the one handling quantity continued, the other dissevered. Mixed Mathematic has for its subject some axioms and parts of natural philosophy, and considers quantity in so far as it assists to explain, demonstrate and actuate these.