What is a proof?

[Muslim Scholar]

Proof is not a concrete concept. It's fairly pointless trying to make it one.

It can

My comment about bad news is a reference to Douglas Adams. It's a little flippant, ignore it.

The problem with axioms is they are fundamentally assumptive. There is nothing wrong with this but neither should we forget it. Axiomatic reasoning can lead us badly astray if we loose sight of the original assumptions (see my point above).

Axioms are not facts, they are assumptions as you said, then the proof itself should show the conclusion using these axioms.

For example I'll say that God=G
the the proof will show that G equals or not equal to ZERO

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A proof is a chain of logical consequences from premises to a conclusion
It can be refuted by proving that a premises is false
or statement X doesn't lead to statement X+1

A statement can be disproved by a contradiction inside it

No, this is the definition of a syllogism. Proof is a much broader concept.

And I suggest you look up the name Stephen Toulmin, as absorbing and embracing his ideas would likely be helpful to you in your rhetorical goals.

I did not say it is a proof
I just said it can be refuted using Syllogism