I find the ontological arguement rather lacking, several objections is an understatement.
Heath:
Here's one Ontological Argument (by Anselm):
1 - By definition, God is a being than which none greater can be imagined.
This is assuming, on its face, several things.
1: That that is the accepted definition of God. There is a difference between the First Mover and the Judeo-Christian 'God'.
2: God claims to be jealous in the Bible. It is possible to imagine a God that is not jealous, in fact, many 'pagan' religions have a central 'God' of this sort - but worshipping it is pointless.
3: God also changes its mind in the Bible, gets angry, shows favoritism... In a sense, the God of the Bible acts very human and fallible. If we take this definition, then the God the ontological arguement attempts to prove is not the Christian one.
4: It assumes our minds cannot encompass the Universe. It is not necessary for God to be the greatest being imaginable, it merely must be greater than the Universe.
5: It assumes you can imagine such an entity in the first place.
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2 - A being that necessarily exists in reality is greater than a being that does not necessarily exist.
This also opens up the arguement to other realities. A similar arguement could be made for heaven.
In addition, a First Mover is not necessarily greater than the idea of it.
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3 - Thus, by definition, if God exists as an idea in the mind but does not necessarily exist in reality, then we can imagine something that is greater than God.
If God does not exist in reality, God does not exist, and is relegated to the status of being merely 'the greatest thing you can imagine'. It is possible to imagine a great many things, after all.
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4 - But we cannot imagine something that is greater than God.
The imagination of an insect is less than mine. If my imagination is greater than yours, does that mean my 'God' exists and yours does not?
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5 - Thus, if God exists in the mind as an idea, then God necessarily exists in reality.
6 - God exists in the mind as an idea.
7- Therefore, God necessarily exists in reality.
See above. The premise is flawed.
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There are various points at which this may be objected to (the logic equivalent of rebutting or disproving), but it is an interesting logic.
I don't think so myself. It's an old arguement by people with a very arrogant and flawed understanding of the universe.