dôkaz

Dôkaz is the Slovak term for proof or evidence. In general, it denotes information or a line of reasoning that demonstrates the truth of a statement or claim. The precise meaning varies by context, but the common idea is establishing assent through reason or testimony.

In mathematics, a dôkaz is a rigorous argument that derives a proposition from established axioms and previously proven results using accepted rules of inference. A mathematical dôkaz must be valid and complete; a single gap undermines it. Common methods include direct proofs, proofs by contradiction, proofs by contrapositive, and constructive proofs.

In law and civil proceedings, dôkaz refers to facts presented to persuade a decision maker. Evidence can be testimonies, documents, recordings, or physical objects. Legal standards of proof (for example, beyond a reasonable doubt or preponderance of the evidence) determine how much evidence is needed to establish a claim. Admissibility and weight of evidence are governed by procedural rules.

In everyday discourse and philosophy, dôkaz means justification or warrant for a belief or claim. The strength of a dôkaz depends on reliability, relevance, coherence, and the context. Philosophical debates often distinguish between proof, argument, justification, and proof-conditions.

Summary: Across domains, dôkaz is a foundational concept referring to reasoning, evidence, or demonstration that supports the truth of a statement.