This gets a bit deep so hold on to your hats!
I will very briefly reprise the concept of an
all-powerful God and then I will go on to prove
that a god (if one exists) needs logic but logic
does not need a god.
If a god is all-powerful then it follows that he cannot
make another god who is more powerful than he already is. If he did then that
must mean that he was not ALL-powerful after all, because by definition, an
ALL-powerful god cannot create anything more powerful than himself. The paradox
indicates that there can be no such thing as an all-powerful entity, in the
same way that there cannot be a largest number. You can always make a larger
number. Even infinite numbers can be infinitely smaller than other infinite
numbers. There is no end to the infinite for even the infinite can be dwarfed.
Using logic we have shown that god is not all-powerful.
At this point religious people throw their arms
up in horror. They cry,
How can you use logic
to say anything about god? But when religious
people insist that the Universe could not exist
without a god they themselves try to use logic
to describe their god - they claim he must the
Creator of the Universe. (This is ironic, especially
as such logic is deeply flawed: they cannot
explain how the god himself came to be, which
rather misses the point).
But supposing a god exists then could he have invented logic?
For the sake of this argument I will assume that meaningful
existence can only occur embedded within a cloud of logic. Imagine a Universe
in which there is no logic. There would be no meaningful numbers, you would
not be able to add, subtract or even count. (At least the average graduate
of the modern schools would find themselves at home there). There would be
no laws, no physics, no predictability, no cause and effect. Such a world
would be utterly devoid of meaning. We can assume that for any Universe in
which anything meaningful can happen, logic is a key ingredient of the mix.
Likewise I will assume that you cannot invent anything if
logic doesn't exist. (I admit that Microsoft Windows seems like an obvious
exception to this rule, but actually there
is logic behind this horrible
operating system: it is a weapon to bring Microsoft world domination and $$$$).
As we have seen, without logic, there can be no cause and effect. There can
be no invention.
A fallacy beloved of religious people is that "god" invented
logic. This crazy argument implies that there was a "time" when this god "existed"
in a "place" sans logic. If there was no logic then god cannot be said logically
to have existed at all, as the state of existence is a logical one. If god
could not be said to have existed then it is logically a fallacy to state
that he did exist before logic existed. Therefore god could not have invented
logic.
Logic isn't part of the fabric of the universe in the way
that matter, time and space are; logic is neither energy nor any physical
thing: logic is informational. Any creator god must be an entity that processes
information. Therefore he cannot have created information itself without using
information to do it. So what came first, the creator or information? It
is a chicken and egg scenario, not unlike the paradox of how existence can
come from non-existence in the first place.
You cannot have intelligence without information and you
cannot have information without logic, they are aspects of the same thing.
Gods are usually deemed to be intelligent and intelligence is about processing
information meaningfully. Ergo such a god could not have existed at all without
information and logic existing simultaneously. Hypothetically there is no
reason why information and logic cannot exist without a god but on the other
hand it is impossible for a god to exist in the absence of logic and information.
That is another constraint on why a god cannot be all-powerful. He cannot
destroy all information without destroying himself.
After all, a god is a processor of information, just like
all life, computers and, in fact, everything in the Universe (yes, even women
drivers do it sometimes). To be a creator you have to have an idea, otherwise
the creator has no mind or freewill: such a creator is merely a mindless slave
to the laws of physics, the very laws that he was supposed to have created.
(I would argue that we humans are exactly like that and that do not have freewill
but that is another story covered elsewhere).
Many believers intuitively think of god as a hyper-intelligence
who is observing them; pulling strings; making things happen in the background;
responding to prayers; rewarding saints and punishing sinners and such like.
That belief requires that intelligence is at work. As we have seen, intelligence
is something that processes information. If god did not process information,
then he could not have intelligence and he could not have knowingly invented
anything. Therefore a god could not have deliberately invented information.
Conversely, if a god had always been intelligent then he had always processed
information. Therefore he could not have knowingly invented information in
the first place because he could never have functioned intelligently without
it. As information is based on logic, it follows that an intelligent god could
not have invented logic. If a god exists then he was created by logic, not the other way around.
You might conclude that God IS information.
But then who or what created information and how?
No invocation of a god can solve the riddle
of existence because no intelligent god can
invent logic and information from scratch. It
is back to square one. Given the absence of
evidence in favour of the existence of a god,
it is easier to purge god(s) from the picture. God is innocent of the crime of creating our Universe until found guilty.
Thus we can skip the pointless
burden of having to account for the existence of
god(s) and concentrate on the Universe and logic itself. At least we know they exist in the first place. Don't they?!?
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