Exactly the same as the experimental proof: it may only be considered proven when the same procedure can be performed in any laboratory (or notebook) in the World at any time that always provides the same result.
Mathematical logic.
Deductive reasoning In mathematics, a proof is a deductive argument for a mathematical statement. Deductive reasoning, unlike inductive reasoning, is a valid form of proof. It is, in fact, the way in which geometric proofs are written.
DDSDS
Unproven Theorems
In a two-column proof, the right column provides justifications for the statements made in the left column. Each statement, which is typically a mathematical assertion or step in the proof, is paired with a corresponding justification, such as a theorem, definition, or previously established result, in the right column. This structure helps to clearly demonstrate the logical progression of the proof.
Mathematical logic and proof theory (a branch of mathematical logic) for proof
mathematical phrase
There is no mathematical proof that definitively shows that God does not exist. The existence of God is a philosophical and theological question that cannot be proven or disproven using mathematical methods.
Mathematical logic.
CHEESE
Altitude
Deductive reasoning In mathematics, a proof is a deductive argument for a mathematical statement. Deductive reasoning, unlike inductive reasoning, is a valid form of proof. It is, in fact, the way in which geometric proofs are written.
A proof written in the form of a paragraph (as opposed to a two-column proof)
force/area
DDSDS
Unproven Theorems
In a two-column proof, the right column provides justifications for the statements made in the left column. Each statement, which is typically a mathematical assertion or step in the proof, is paired with a corresponding justification, such as a theorem, definition, or previously established result, in the right column. This structure helps to clearly demonstrate the logical progression of the proof.