How about a little philosophy?
There are a variety of philosophical approaches to decide whether an observation may be considered evidence; many of these focus on the relationship between the evidence and the hypothesis. Carnap recommends distinguishing such approaches into three categories: classificatory (whether the evidence confirms the hypothesis), comparative (whether the evidence supports a first hypothesis more than an alternative hypothesis) or quantitative (the degree to which the evidence supports a hypothesis).[10] Achinstein provides a concise presentation by prominent philosophers on evidence, including Carl Hempel (Confirmation), Nelson Goodman (of grue fame), R. B. Braithwaite, Norwood Russell Hanson, Wesley C. Salmon, Clark Glymour and Rudolf Carnap.[11]
Based on the philosophical assumption of the Strong Church-Turing Universe Thesis, a mathematical criterion for evaluation of evidence has been conjectured, with the criterion having a resemblance to the idea of Occam’s Razor that the simplest comprehensive description of the evidence is most likely correct. It states formally, "The ideal principle states that the prior probability associated with the hypothesis should be given by the algorithmic universal probability, and the sum of the log universal probability of the model plus the log of the probability of the data given the model should be minimized."[12]
According to the posted curriculum for an "Understanding Science 101" course taught at University of California - Berkeley: "Testing hypotheses and theories is at the core of the process of science." This philosophical belief in "hypothesis testing" as the essence of science is prevalent among both scientists and philosophers. It is important to note that this hypothesis does not take into account all of the activities or scientific objectives of all scientists. When Geiger and Marsden scattered alpha particles through thin gold foil for example, the resulting data enabled their experimental adviser, Ernest Rutherford, to very accurately calculate the mass and size of an atomic nucleus for the first time. No hypothesis was required. It may be that a more general view of science is offered by physicist, Lawrence Krauss, who consistently writes in the media about scientists answering questions by measuring physical properties and processes.
Concept of scientific proof
EditWhile the phrase "scientific proof" is often used in the popular media,[13] many scientists have argued that there is really no such thing. For example, Karl Popper once wrote that "In the empirical sciences, which alone can furnish us with information about the world we live in, proofs do not occur, if we mean by ’proof’ an argument which establishes once and for ever the truth of a theory".[14][15]
Albert Einstein said: The scientific theorist is not to be envied. For Nature, or more precisely experiment, is an inexorable and not very friendly judge of his work. It never says "Yes" to a theory. In the most favorable cases it says "Maybe," and in the great majority of cases simply "No." If an experiment agrees with a theory it means for the latter "Maybe," and if it does not agree it means "No." Probably every theory will someday experience its "No" - most theories, soon after conception.[16]