Knowledge a posteriori and a priori Knowledge or the
justification of a
belief is said to be
a posteriori if it is based on empirical evidence.
A posteriori refers to what depends on
experience (what comes after experience), in contrast to
a priori, which stands for what is independent of experience (what comes before experience). For example, the proposition that "all bachelors are unmarried" is knowable
a priori since its truth only depends on the meanings of the words used in the expression. The proposition "some bachelors are happy", on the other hand, is only knowable
a posteriori since it depends on experience of the
world as its justifier.
Immanuel Kant held that the difference between
a posteriori and
a priori is tantamount to the distinction between empirical and non-empirical knowledge. Two central questions for this distinction concern the relevant sense of "experience" and of "dependence". The paradigmatic justification of knowledge
a posteriori consists in sensory experience, but other mental phenomena, like memory or introspection, are also usually included in it. For example, experience is necessary to entertain the proposition "if something is red all over then it is not green all over" because the terms "red" and "green" have to be acquired this way. But the sense of dependence most relevant to empirical evidence concerns the status of justification of a belief. So experience may be needed to acquire the relevant concepts in the example above, but once these concepts are possessed, no further experience providing empirical evidence is needed to know that the proposition is true, which is why it is considered to be justified
a priori. Expressed through the distinction between knowledge a priori and a posteriori from the previous section, rationalism affirms that there is knowledge a priori, which is denied by empiricism in this strict form.
Scientific evidence Scientific evidence is closely related to empirical evidence. Some theorists, like Carlos Santana, have argued that there is a sense in which not all empirical evidence constitutes scientific evidence. One reason for this is that the standards or criteria that scientists apply to evidence exclude certain evidence that is legitimate in other contexts. Others have argued that the traditional empiricist definition of empirical evidence as perceptual evidence is too narrow for much of scientific practice, which uses evidence from various kinds of non-perceptual equipment. Central to scientific evidence is that it was arrived at by following
scientific method in the context of some
scientific theory. But people rely on various forms of empirical evidence in their everyday lives that have not been obtained this way and therefore do not qualify as scientific evidence. One problem with non-scientific evidence is that it is less reliable, for example, due to cognitive biases like the
anchoring effect, in which information obtained earlier is given more weight, although science done poorly is also subject to such biases, as in the example of
-hacking. The idea behind this distinction is that only experimentation involves manipulation or intervention: phenomena are actively created instead of being passively observed. For example, inserting viral DNA into a bacterium is a form of experimentation while studying planetary orbits through a telescope belongs to mere observation. In these cases, the mutated DNA was actively produced by the biologist while the planetary orbits are independent of the astronomer observing them. Applied to the history of science, it is sometimes held that ancient science is mainly observational while the emphasis on experimentation is only present in modern science and responsible for the
Scientific Revolution. This is sometimes phrased through the expression that modern science actively "puts questions to nature". This distinction also underlies the categorization of sciences into experimental sciences, like physics, and observational sciences, like astronomy. While the distinction is relatively intuitive in paradigmatic cases, it has proven difficult to give a general definition of "intervention" applying to all cases, which is why it is sometimes outright rejected. Empirical evidence is required for a
hypothesis to gain acceptance in the
scientific community. Normally, this validation is achieved by the
scientific method of forming a hypothesis,
experimental design,
peer review,
reproduction of results, conference presentation, and
journal publication. This requires rigorous communication of hypothesis (usually expressed in mathematics), experimental constraints and controls (expressed in terms of standard experimental apparatus), and a common understanding of measurement. In the scientific context, the term
semi-empirical is used for qualifying theoretical methods that use, in part, basic
axioms or postulated scientific laws and experimental results. Such methods are opposed to theoretical
ab initio methods, which are purely
deductive and based on
first principles. Typical examples of both
ab initio and
semi-empirical methods can be found in
computational chemistry. ==See also==