Virgil
Posts:
7,005
Registered:
1/6/11


Re: Matheology � 254
Posted:
Apr 18, 2013 4:19 PM


In article <27e045f853df4ae3bc3036fd38821e6b@c15g2000vbl.googlegroups.com>, WM <mueckenh@rz.fhaugsburg.de> wrote:
> Matheology § 254 > > 1. Finite cannot comprehend, contain, the Infinite.  Yet an inch > or minute, say, are finites, and are divisible ad infinitum, that is, > their terminated division incogitable. > 2. Infinite cannot be terminated or begun.  Yet eternity ab ante > ends now; and eternity a post begins now. So apply to Space. > 3. There cannot be two infinite maxima.  Yet eternity ab ante and > a post are two infinite maxima of time. > 4. Infinite maximum if cut in two, the halves cannot be each > infinite, for nothing can be greater than infinite, and thus they > could not be parts; nor finite, for thus two finite halves would make > an infinite whole. > 5. What contains infinite quantities (extensions, protensions, > intensions) cannot be passed through,  come to an end. An inch, a > minute, a degree contains these; ergo, &c. Take a minute. This > contains an infinitude of protended quantities, which must follow one > after another; but an infinite series of successive protensions can, > ex termino, never be ended; ergo, &c. > 6. An infinite maximum cannot but be allinclusive. Time ab ante > and a post infinite and exclusive of each other; ergo, &c. > 7. An infinite number of quantities must make up either an infinite > or a finite whole. I. The former.  But an inch, a minute, a degree, > contain each an infinite number of quantities; therefore an inch, a > minute, a degree, are each infinite wholes; which is absurd. II. The > latter.  An infinite number of quantities would thus make up a finite > quantity, which is equally absurd. > John Stuart Mill
Clearly JSM is no more of a mathematician than WM. 

