Sunday, April 22, 2012

Possible Objections to my views on Space-Time and Quantity

These are possible objections I anticipated against my own views:

First Objection: The distinction between dimensional quantity and individuated quantity is not strong enough since the individuals being counted posses dimensional quantity even though they are also individuated as separate beings. One can count a class of squares, triangles, spheres, and other dimensional objects. The distinction between Dimensional Quantity and Individuated Quantity should lie on the method of quantification rather than intrinsic properties of quantity alone. Individuated quantity is based on the counting of individual objects whereas the dimensional quantity is the measurement of dimensional sizes.

Second Objection: The distinction between dimensional quantity and individuated quantity does not take into account of other quantities such as probability (or randomness), motion, and change. The view also seems to suggest that everything can be reduced to quantity but this is absurd since there are things such as "quality" and "substances".

Third Objection: Your argument did not solve the question as to whether how individuated quantity is possible. You posited that dimensional quantity can posses abstract points intrinsic in the dimensions of space-time to explain how individual things can occupy space-time rather than being spread out like a peanut butter. But by doing this you only go back to the same problem because you are positing abstract points which themselves are individuated quantity. Therefore you haven't really answered the question.

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