I am Alpha and Omega, the beginning and the end.
Revelation 21:6
"In 1931, the young mathematician Kurt Gödel made a landmark discovery, as powerful as anything Albert Einstein developed.In one salvo, he completely demolished an entire class of scientific theories.
Gödel’s discovery not only applies to mathematics but literally all
branches of science, logic and human knowledge. It has earth-shattering implications.
A unifying “Theory of Everything” that would finally nail down all the loose ends. Mathematics would be complete, bulletproof, airtight, triumphant.
In 1931 this young Austrian mathematician, Kurt Gödel, published a paper that once and for all PROVED that a single Theory Of Everything is actually impossible. He proved they would never prove everything.
You can draw a circle around a bicycle. But the existence of that bicycle relies on a factory that is outside that circle. The bicycle cannot explain itself.
You can draw the circle around a bicycle factory. But that factory likewise relies on other things outside the factory.
Gödel’s Incompleteness Theorem applies not just to math, but to everything that is subject to the laws of logic. Everything that you can count or calculate. Incompleteness is true in math; it’s equally true in science or language and philosophy.
Gödel created his proof by starting with “The Liar’s Paradox” — which is the statement
“I am lying.”
“I am lying” is self-contradictory, since if it’s true, I’m not a liar, and it’s false; and if it’s false, I am a liar, so it’s true.
Gödel, in one of the most ingenious moves in the history of math, converted this Liar’s Paradox into a mathematical formula. He proved that no statement can prove its own truth.Here’s what it means:
- Faith and Reason are not enemies. In fact, the exact opposite is true! One is absolutely necessary for the other to exist. All reasoning ultimately traces back to faith in something that you cannot prove.
- All closed systems depend on something outside the system.
- You can always draw a bigger circle but there will still be something outside the circle.
Example of a deductive reasoning:
1. All men are mortal
2. Socrates is a man
3. Therefore Socrates is mortal
Reasoning outward from a smaller circle to a larger circle (from “some things” to “all things”) is inductive reasoning.2. Socrates is a man
3. Therefore Socrates is mortal
Examples of inductive reasoning:
1. All the men I know are mortal
2. Therefore all men are mortal
2. Therefore all men are mortal
1. When I let go of objects, they fall
2. Therefore there is a law of gravity that governs all falling objects
Notice than when you move from the smaller circle to the larger circle, you have to make assumptions that you cannot 100% prove.2. Therefore there is a law of gravity that governs all falling objects
For example you cannot PROVE gravity will always be consistent at all times. You can only observe that it’s consistently true every time.
Nearly all scientific laws are based on inductive reasoning. All of
science rests on an assumption that the universe is orderly, logical and mathematical based on fixed discoverable laws.
You cannot PROVE this. (You can’t prove that the sun will come up tomorrow morning either.) You literally have to take it on faith. In fact most people don’t know that outside the science circle is a philosophy circle. Science is based on philosophical assumptions that you cannot scientifically prove. Actually, the scientific method cannot prove, it can only infer.
(Science originally came from the idea that God made an orderly universe which obeys fixed, discoverable laws – and because of those laws, He would not have to constantly tinker with it in order for it to operate.)
Now please consider what happens when we draw the biggest circle possibly can – around the whole universe. (If there are multiple universes, we’re drawing a circle around all of them too):
- There has to be something outside that circle. Something which we have to assume but cannot prove
- The universe as we know it is finite – finite matter, finite energy, finite space and time
- The universe (all matter, energy, space and time) cannot explain itself
- Whatever is outside the biggest circle is boundless. So by definition it is not possible to draw a circle around it.
- If we draw a circle around all matter, energy, space and time and apply Gödel’s theorem, then we know what is outside that circle is not matter, is not energy, is not space and is not time. Because all the matter and energy are inside the circle. It’s immaterial.
- Whatever is outside the biggest circle is not a system – i.e. is not an assemblage of parts. Otherwise we could draw a circle around them. The thing outside the biggest circle is indivisible.
- Whatever is outside the biggest circle is an uncaused cause, because you can always draw a circle around an effect.
We can apply the same inductive reasoning to the origin of information:
- In the history of the universe we also see the introduction of information, years ago. It came in the form of the Genetic code, which is symbolic and immaterial.
- The information had to come from the outside, since information is not known to be an inherent property of matter, energy, space or time.
- All codes we know the origin of are designed by conscious beings.
- Therefore whatever is outside the largest circle is a conscious being.
When we add information to the equation, we conclude that not only is the thing outside the biggest circle infinite and immaterial, it is also self-aware.
Isn’t it interesting how all these conclusions sound suspiciously similar to how theologians have described God for thousands of
years?Maybe that’s why it’s hardly surprising that 80-90% of the people in the world believe in some concept of God. Yes, it’s intuitive to most folks. But Gödel’s theorem indicates it’s also supremely logical. In fact it’s the only position one can take and stay in the realm of reason and logic." E2.0
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