Here's a breakdown:
* Proof: A formal argument or demonstration that establishes the truth of a statement.
* Evidence: Facts, data, or observations that support a claim.
* Reasoning: The process of using logic and evidence to arrive at a conclusion.
* Verifiable: The evidence used to support a claim can be checked and confirmed by others.
Examples of proved truths:
* Scientific Laws: Newton's Law of Gravity is a proved truth, supported by countless experiments and observations.
* Mathematical Theorems: The Pythagorean Theorem (a² + b² = c²) is a proved truth, established through rigorous geometric proofs.
* Historical Facts: The date of the American Revolution is a proved truth, supported by primary sources and historical research.
Important Notes:
* Proof is context-dependent: What constitutes a proved truth depends on the specific field of study or area of inquiry.
* Proof is not absolute: While a statement can be highly likely to be true based on the evidence, absolute certainty is rarely possible.
* New evidence can change our understanding: As new information becomes available, a previously considered proved truth may need to be revised or re-evaluated.
In summary, a proved truth is a statement that has been rigorously established as true based on evidence and reasoning. While proof provides strong evidence for a statement, it doesn't necessarily mean it is absolutely certain or unchangeable.