(un)common ground

a commonplace book

Aristotle’s Infinite Regress

It is impossible that there should be demonstration of absolutely everything; [for then] there would be an infinite regress, so that there would still be no demonstration.

Aristotle, Metaphysics, subject of “Aristotle and the Argument to End All Arguments”

Argument: For any p, if p is a proposition, then reasons can be given for/against p. P is a proposition, therefore reasons can be given for/against p.

Q and r are reasons for/against p. If q and r are propositions, then reasons can be given for/against q and r. Q is a proposition, therefore reasons can be given for/against q.

S and t are reasons for/against q. If s and t are propositions, then reasons can be given for/against s and t. S is a proposition, therfore reasons can be given for/against s.

reductio ad infinitium…

(adapted from Just the Arguments, edited by Michael Bruce and Steven Barbone, 2011)

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

Information

This entry was posted on August 23, 2015 by and tagged , , .
%d bloggers like this: