The provided sources present directly conflicting information regarding the all-time high price of silver, making a definitive conclusion difficult. One highly relevant source, a news article from Investing News Network, directly supports the statement by reporting that silver's price surged "past US$89 to Hit New All-time High." This source is given a moderate authority score of 0.70.Conversely, another highly relevant source from MiningVisuals.com directly contradicts the statement, explicitly asserting that the all-time high, set in 1980, was "$49.45." This source has a lower authority score of 0.50.While the source supporting the claim has a higher authority rating, the existence of a direct and specific contradiction from another source creates significant uncertainty. The most authoritative sources listed (TradingView, Kitco, GoldPrice.org), which are financial data providers, are presented as tools for verification; their summaries do not provide a specific all-time high figure that could resolve the conflict. The remaining sources are either irrelevant (copper, gold) or provide general context without specific price data (Wikipedia).Therefore, the assessment is "conflicting_evidence." The probabilities are set to reflect a slight lean towards the statement being true due to the higher authority of the supporting source, but they remain close to 0.5 to represent the strong contradiction. The confidence level is high, indicating strong confidence in the assessment that the evidence is indeed conflicting.