tõestatava

Tõestatava is an Estonian adjective that translates to "provable" or "verifiable" in English. It describes something that can be demonstrated to be true through evidence, logic, or a formal proof. The concept is fundamental in various fields, including mathematics, logic, computer science, and law.

In mathematics and logic, a statement is considered tõestatav if a rigorous proof can be constructed to establish its truth. This proof must follow established axioms and rules of inference. For example, the Pythagorean theorem is a tõestatav statement in Euclidean geometry.

In computer science, the term relates to the ability to verify the correctness of an algorithm or a program. This can involve formal verification methods that mathematically prove that a program will behave as intended under all possible inputs. Software that is demonstrably correct is often described as tõestatav.

In legal contexts, evidence presented in court aims to make a claim tõestatav. Witnesses, documents, and expert testimony are all forms of evidence used to prove or disprove allegations. The burden of proof typically lies with the party making the claim, who must provide sufficient evidence to make their assertion tõestatav.

The opposite of tõestatav is "tõestamatu," meaning unprovable or unverifiable. This can apply to statements that are inherently subjective, paradoxical, or for which no evidence can be conceived or presented. The distinction between what is tõestatav and what is not is crucial for distinguishing between knowledge, belief, and speculation.