Bill,
Thanks for sending in your homework.
Reminder to everyone else - work on your homework for
Tuesday. It's not due in written form. Bill sent it because he'll miss the
call.
Back to your points below, Bill:
- I think it's an older translation - and that's why we
get "premiss."
- Original premise or truth - I think the current
scientific method would say that that approach dispels the philosophical
problems by relying on repeatable experiments to test hypotheses. you don't
need to know the truth ahead of time - you hypothesize and then test. and then
repeat.
- As for Aristotle - I believe you are right that he
settles on definition and "things which cannot be proved" as his
foundation.
- As for me, I straddle the scientific method approach
and the post- modern approach. I think truth might itself be a challenging
concept.
I think there is something that is fundamental - but I
think we also participate in creating both the questions and answers. It's
difficult to formulate my point-of-view here because I alternate between
something more traditionally scientific and something more influenced by
elements of the post-modern approach.
- In either case, my neurons continue to dance
Phil
On Apr 3, 2009, at 10:38 AM, Swislow, Bill wrote:
Phil, here are my thoughts on a passage from Aristotle. Sorry
I'll miss the discussion.
On page 113, line 36, he writes:
"A man must believe in some, if not in all, of
the basic truths more than in the conclusion.
And then:
"The conviction of pure science must be
unshakable."
This seems like part of the payoff for his lengthy
considerations of syllogisms and the relationship of the premissto
the predicate. In short, the premiss of a syllogism must be better
founded than the predicate. But how is the premiss to be founded? If
you believe in the unshakable conviction of science, it's not going to
be tolerable to have infinite regress (that is, every premissis
founded on some preceding premise into infinity) or to rely on
circular logic to establish the foundation of knowledge.
What's not clear from these passages is what, other
than "conviction," constitutes that foundation. It's possible I didn't
read all the way to that payoff, or that I missed it because I didn't
follow his argument. But if he does posit a convincing
foundation, Western civilization in all the centuries since should feel
pretty foolish, since we still struggle with the issue. The best we
have to offer still seems to be faith -- whether in God
underpinning all reality or in the perfection of mathematics as the foundation
of all knowledge -- or some version of existentialism: Faced with the prospect of infinite regress or of
religion, let's more or less arbitrarily settle on the most plausible
answer and run with it.
That seems to be more or less what Aristotle did: In
his statement on page 124, line 31, it appears he did not pretend to
have solved the problem: "I call the basic truths of every
genus those elements in it the existence of which cannot be proved."
However, he does seem to hope that many of those
basic truths can be settled upon by definition. If a triangle has three sides by definition, we can assert as a basic truth that all
triangles have three sides.
Anyway, my other great confusion is why this
translations uses "premiss" rather than "premise."
Bill