All right, let's begin with Hempel's Paradox. Imagine that I wish to prove that all ravens are black. So I set out in the world and find a green apple, a red straw, a white car, a brown leaf, an orange orange, a yellow banana, and a purple flower. I conclude from the evidence that it is very likely that all ravens are black because I reason as follows: "Any one of those non-black things could have been a raven, yet none of them were. Therefore, the evidence strongly indicates that all ravens are black." Question: Do you agree with the conclusion? Why or why not?
No. Since the number of non-ravens is so large, the Bayesian estimate for the number of non-black ravens is only affected by a small amount when a non-raven is observed. But the corresponding change when a black raven is observed is much larger.
So, while observing non-black non-ravens does support the proposition that all ravens are black, it does NOT do so to a large extent. If the nunber of non-ravens was small, it would have a larger effect.
The Big Bang theory claims that the universe began in a colossal explosion some 14 billion years ago. If that is so, there should be no structures in the galaxy that are older than 14 billion years. The Sloan Great Wall, however, would require 100 billion years to form. Accordingly, the Big Bang theory is false through an application of modus tollens..
Except that this wall is not a single structure, but is the chance alignment of three substructures. That negates your timing estimate.
I don't verify things. That's your game. I simply pointed out that verificationism is impossible.
The premises you present refute your claim. If we claim that 2+2 = 4 and then put together two apples and two apples and find that there are 4, then we find that math has made a true statement about reality.
No, you showed that the abstract model of addition applies in one situation. There are many other situations where this naive application of the abstract model will fail. For example, adding two gallons of water to two gallons of ethyl alcohol will NOT give a total of 4 gallons of liquid. The naive model fails.