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Related: About this forumComputational Theology
In computer science and mathematics, there is a long tradition of computational proof: using a computer program to derive mathematical proofs from a series of axioms. So two philosophers decided to connect this to Anselm. When they set out to have a computer program prove the ontological argument, not only were they successful, they actually made his argument more elegant. As described in Wikipedia:
Paul Oppenheimer and Edward Zalta used an automated theorem proverProver9to validate Anselms ontological thesis. Prover9 subsequently discovered a simpler, formally valid (if not necessarily sound) ontological argument from a single non-logical premise.
Separate from whether the proof works, its quite impressive that a computer program was able to distill this argument to its simplest form, allowing one to examine it as clearly as possible. In this case, the entire argument rests on the premise if the conceivable thing than which nothing greater is conceivable fails to exist, then something greater than it is conceivable, which the authors find wanting. But as the philosophers wrote in their paper:
Anselms ontological argument has come in for criticism ever since it was first proposed. But we think that the focus on finding flaws in the argument may have hindered progress in logically representing the argument in its most elegant form. We hope to show that computational techniques offer a new insight into Anselms ontological argument and demonstrate that there is much beauty inherent in its logic.
http://www.wired.com/2014/09/computational-theology/
DetlefK
(16,423 posts)It too is based on questionable premises, but it was proven to be logically correct by translating it into a new mathematical language using a computer to test the logical validity.
Brettongarcia
(2,262 posts)Look up the difference between a "valid" vs. a "sound" argument.
DetlefK
(16,423 posts)This is not really about Computational Theology, it's about Computational Philosophy. The ground-breaking part of those stories is that mathematicians are able to translate structures and relations that are written in everyday languages into structures and relations written in a mathematical, strictly logical language. Then a computer is used to check whether the equations are correct.
The computer just checks whether the steps of the proof are valid, it doesn't check whether they make sense in the "real" world. For a computer, they are just variables without further meaning.
http://en.wikipedia.org/wiki/G%C3%B6del%27s_ontological_proof
For example:
1. "chicken > water"
2. "water > party-time"
Any computer will tell you that this leads undeniably to the conclusion "chicken > party-time", even though it makes no sense.
LiberalAndProud
(12,799 posts)No matter how much nonsense you take out, it still makes no sense?
AtheistCrusader
(33,982 posts)out in self defense.
rug
(82,333 posts)LiberalAndProud
(12,799 posts)rug
(82,333 posts)Nope, someone else should come along and give us the Lounge version of it.
LiberalAndProud
(12,799 posts)(which may or may not be the case) the simplified ontological argument
" reads as follows: if the conceivable thing than which nothing greater
is conceivable fails to exist, then something greater than it is conceivable."
Simplifying the argument didn't make it a better proof.
"But the defender of the ontological argument can take no comfort from such
an observation, since it defends Premise 2 by using the conclusion of the
ontological argument. That is, if she uses the existence of the conceivable
thing than which no greater thing is conceivable to prove Premise 2, she
is guilty of circular reasoning."