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To: TigerPaw who wrote (13966)1/3/2000 2:17:00 PM
From: St_Bill  Read Replies (1) | Respond to of 54805
 
At the risk of having to start a philosophy thread, which I wouldn't mind, it's amazing to discover that strictly speaking, even mathematics has problems when it comes to providing indubitable truth. Russell and Whitehead tried to reduce math to logic about a century ago (believng that logic at least got us statements that were impossible to doubt). They failed. Later it was discovered that Arithmetic is incomplete. And things then got really weird.

2+2=4. This is hard to doubt. But the outstanding question in the philosophy of mathematics turns out to be why? The truth of mathematics turns out to be very hard to explain.
Fun book about all this:GODEL ESCHER BACH



To: TigerPaw who wrote (13966)1/3/2000 5:10:00 PM
From: Dinesh  Respond to of 54805
 
TP, Janet:

(1)
I believe Computer Science is a branch of mathematics. Until
the CS roster became very heavy of its own weight, many
universities housed CS under Math.

(2)
As to the WHY of '2+2=4'. Let us not mix the study
of "X" with the study of "why of X". The former belongs to
the "X" dept while the latter come usually from the
Philosophy folks.

(3)
Questioning everything as the way to find the answer is
a very Western method of thinking. Sometimes all you
need to do is raise the question and let the answer(s)
float back to you.

E.g., usenet.

::-)