Originally posted by jeremiah
To bmyers:
No actually I was looking at his first main theorem, and not the second which you referred to. According to your website, the first theorem could be summed up as. " He proved it IMPOSSIBLE to establish the internal logical consistency of a very large class of deductive systems, unless one adopts principles of reasoning so complex that their internal consistency is as open to doubt as that of the systems themselves." It also said, " Rational thought can never penetrate to the final ultimate truth."
In other words it must go outside of itself to a higher and more complete system.
Regarding rational and reasonable Atheists who KNOW that there is no God, according to Godel I would conclude that would be an impossible statement to make.
Regarding Science and Evolution or the beginning of the Universe, I think the complexity of the theory as we discover more and more concerning the complesity of a SIMPLE
cell, and the vastness of the Universe, it casts doubt on the whole theory just as Godel PROVED? Does this glove fit his therom?
To sum up the theorema, it shows that any formal axiomatic system of some minimal strength (it must be possible in that axiomatic system to contain propositions that refer to itself) must be either
inconsistent or
incomplete.
In a way you could compare the reasoning system of our consciousness as something that resembles a formal axiomatic system.
One peculiarity of such a reasoning system is this. Although anybody happens to know there is a world, in which we live, from our thoughts or reason alone, we could never arrive at the conclusion that there must be a world. Our reasoning system itself, can not even conclude such a simple fact about reality. All our reasoning system CAN state are things that are formal and abstract truths. The only fundamental truth which relfects outside reality that it can state that it itself (the reasoning system) must exist, since without it, it could not function. According to our reasoning system therefore, the most fundamental things that exists in it's world (the world of consciousness itself, which does not know the outside truth), is itself.
Another peculiarity is that we are not just a reasoning system, but also a biological system as well that strives for it's own existence, and that has inherited from our survival journey through nature the property of a being that is caring about it's own existence, that we do not like the 'possibility' that it could have been the case that no world at all would exist.
Since both of these facts happen to be the case, we therefore "invent" an entity that is in a way responsible, taking care, and proving sufficient ground for there being a world, instead of not a world, and causing our existence.
And since we are humans with a human consciousness, we attribute our inhereted properties from our "survival race" to this invented entity that was responsible for our existence, such as purpose, intend and will.
We happen to do that, and history shows us that all people in their earlier human development phase, have come up with such similar answers to their reason or purpose of being.
This whole peculiarity of our reasoning capacity, which found or invented an entity or necessary being, responsible for there being a world and there being human consciousness, just shows that from our reasoning capacity alone, we can never fully account for these facts.
But surprisingly (or not surprisingly) the answers to all our questions about why there is a world in the first place, instead of not a world, are already implicitly there.
We would not even HAVE to reason about it, since when we would open our eyes, we would already see the truth right before our nose: THERE IS A WORLD.
This answer already provides us sufficient grounds for answering the question as to why it is the case that there is a world, instead of not a world, which is: BECAUSE THERE IS A WORLD.
This feature of being human, being consciousness, having a reasoning system capacble of formal and abstract thougt, and being a biological organism that through the course of evolution has strived for it's existence, has gotten us in a peculiar "dualistic" position against nature itself.
We know from first hand and direct observation, and from all day experience, there is a world, in which we live.
But to our reasoning system itself, the situation is totally unclear. It can reason about all kind of things, but as of yet it is not even capable of stating this fundamental truth that there happens to be a world, which is outside, apart and independend from it. "We" know that, but our reasoning system in a peculiar and fundamental way, does not know that. It is just capable of making logical conclusions, and which at the bottom layer, does state and acknowledge the fact that itself (the reasoning system itself) is existent. But it has no way of knowing what is to account for that fact.
This dualistic nature of our being, therefore contains two kinds of truths. The first truth, the external one is that we happen to live in a world, we observe it daily, and about which we do not doubt.
The second truth is that our reasoning system knows that itself is a necessary component, but it does not know that there is a world outside, apart and independend of it. It came up therefore with a "reasonable" explenation, that something infinite, eternal and more supreme as itself, omnipotent and omniscient, has created this reasoning system, and formed the cause for it's existence.
If we combine this external truth with the internal one, we get a coherent picture of reality. There is a material world, it is the world which we live in and which we know from outside. From our reasoning system we just know that that which has to account for it, is not knowable in a direct way, but must be something infinite, eternal, omnipotent and omniscient. What it doesn't know is that which it figured out as it's cause, is the same "thing" as what we know from outside: the material world itself, which indeed does not have a begin, and is not in any way a finite entity.
It is only from exhaustive reasoning and trying to fit hypothesis about reality into reality, and exploring the material world, that we found that these two truths somehow are pointing to the same thing, entity or substance, that of matter itself, which provide us the reasons and causes for our existence.
The nature of these two not-corresponding and somehow opposite realities united within our own being, are accounting for the fact that mankind has struggeled a long time with this particular and peculiar question, and which is therefore also known as the basic question in Philosphy: which is the issue of Being versus Thinking. The basic question in Philosophy is which of these is primary: Being or Thinking. Primary is meant here as to state that it is independend of anything else.
Would somehow the material world itself be dependend on some concious entity (as proposed by our reasoning system), or would on the other hand our consciousness be dependend on the material world.
The answers given by various philosophers in the course of time, has given rise to a division into two major schools of thought:
1. That of Idealism, which states that consciousness is primary and the material world is secondary. (This is also the way Theism answers the basic question)
2. That of Materialism which states that matter is primary and consciousness is secondary.
Just as a little philosophical side note to this issue, and perhaps worth mentioning in this discussion.