By Henry M. Paynter
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Extra info for Analysis and design engineering systems
The class 'three' is abstract, but it is a different order of abstraction from 'tree'. Classes of logical things are more abstract than classes of material things. (d) Classes of classes are classes whose members are classes, and then of course there are classes of classes of classes, etc. In this category, as we shall see, are to be found all of the concepts of pure mathematics, all numbers, for instance. It comes down to this, that of the four objects named, only one is concrete, the other three are abstract and formal - in a word, universals.
Newton thought that force was external to matter. Since Newton it has been known that matter has the property of remaining at rest or in uniform motion unless acted on by an external force (Newton's First Law), and its acceleration has to be proportional to an applied force (his second law). Energy had to be separately explained when matter was thought to be irrefrangable. But now it is clear that energy is a property of matter and not merely something extemal to it, that matter itself can be transformed into energy and energy exerted as force.
The particular resists physically, through the process of inertia any effort to make it other than it is. It makes the effort to remain itself and keeps in this way a certain integrity. To the extent to which a particular is organized, it has structural strength, and this supports its existence as whatever it is by offering resistance to change. (b) The second characterizing property of the particular is its historicity. The particular endures through a succession of states in no two of which it is exactly the same, while in each state it carries over something from previous states; that is to say, it inherits its own unique past.
Analysis and design engineering systems by Henry M. Paynter