Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: Matheology § 254
Replies: 5   Last Post: Apr 19, 2013 11:54 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
mueckenh@rz.fh-augsburg.de

Posts: 13,447
Registered: 1/29/05
Matheology § 254
Posted: Apr 18, 2013 3:42 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply


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 all-inclusive. 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: "An Examination of William Hamilton?s Philosophy",
The Collected Works of John Stuart Mill, Volume IX, CHAPTER XXIV: "Of
Some Natural Prejudices Countenanced by Sir William Hamilton, and Some
Fallacies Which He Considers Insoluble" (1865), John M. Robson (ed.),
Routledge and Kegan Paul, London (1979)]
http://oll.libertyfund.org/?option=com_staticxt&staticfile=show.php%3Ftitle=240&chapter=40898&layout=html#a_761210

Regards, WM



Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.