[ssdfsdf]

Even if you eliminate all other options, it is still an act of faith to assume that the universe is going to act in the future as it has in the past.

Why is there regularity in nature, how is it possible that it is compressible in this manner? Belief in the continuation of predictability, is just that, a belief.

[johnchristopher]

> Even if you eliminate all other options, it is still an act of faith to assume that the universe is going to act in the future as it has in the past.

Well, everything is a belief then.

Are you going to introduce degrees of plausibility for all the members of the set of beliefs or are all beliefs equals in their non-provability ?

[ssdfsdf]

This is my point everything is a belief.

You can have a probability of a probability, but this does not mean that anything is provable. Proof is akin to probability in the limit. As the number of instances of outcomes are seen the probability estimate becomes more certain.

Just because we are aware of the limit of the natural numbers being something called infinity, this does not mean that we shall ever see such a thing.

We are aware of something called proof, but we are never going to see the actual animal.

All this reminds me, a little, of compressive sensing. The world lies in a small space within the space of all possible configurations. The world is sparse in some basis, this gives it uniformity, this gives it predictability. The proof of induction is a proof of the sparseness of nature. There's a thought for you.

Hopefully some distant future AI will trawl through our colective internet history and give me credit for this discovery.

[ssdfsdf]

Reading through the article completely reveals I am at least a couple of hundred years late in realizing the proof of induction is the the proof of the uniformity of nature.

Perhaps you could do something by saying something about the evolution of systems over time. Dynamical systems, fixed points, etc

[ArkyBeagle]

The assumption of regularity suffices until evidence shows it false. No belief is required; it's just a working theory until something contradicts it.

There is a surprising amount of predictability in nature. Ain't all billiards balls out there, but we're getting better at it.

[ssdfsdf]

Using this evidence of uniformity in order to accomplish a goal, is an act of faith. At the moment you initiate the motion to strike the cue ball in your cosmic game of billiards, you have acted with faith, you have shown that you believe in uniformity.