Trial and error

Trial and error, or trial by error, is a general method of problem solving for obtaining knowledge, both propositional knowledge and know-how. In the field of computer science, the method is called generate and test. In elementary algebra, when solving equations, it is "guess and check".

This approach can be seen as one of the two basic approaches to problem solving and is contrasted with an approach using insight and theory.

Process

Bricolage -In trial and error, one selects a possible answer, applies it to the problem and, if it is not successful, selects (or generates) another possibility that is subsequently tried. The process ends when a possibility yields a solution.

In some versions of trial and error, the option that is a priori viewed as the most likely one should be tried first, followed by the next most likely, and so on until a solution is found, or all the options are exhausted. In other versions, options are simply tried at random.

Methodology

This approach is more successful with simple problems and in games, and is often resorted to when no apparent rule applies. This does not mean that the approach need be careless, for an individual can be methodical in manipulating the variables in an attempt to sort through possibilities that may result in success. Nevertheless, this method is often used by people who have little knowledge in the problem area.

Features

Trial and error has a number of features:
* solution-oriented: trial and error makes no attempt to discover "why" a solution works, merely that it "is" a solution.
* problem-specific: trial and error makes no attempt to generalise a solution to other problems.
* non-optimal: trial and error is an attempt to find "a" solution, not "all" solutions, and not the "best" solution.
* needs little knowledge: trials and error can proceed where there is little or no knowledge of the subject.

Examples

Trial and error has traditionally been the main method of finding new drugs, such as antibiotics. Chemists simply try chemicals at random until they find one with the desired effect.

The scientific method can be regarded as containing an element of trial and error in its formulation and testing of hypotheses. Also compare genetic algorithms, simulated annealing and reinforcement learning - all varieties for search which apply the basic idea of trial and error.

Biological evolution is also a form of trial and error. Random mutations and sexual genetic variations can be viewed as trials and poor reproductive fitness as the error. Thus after a long time 'knowledge' of well-adapted genomes accumulates simply by virtue of them being "able" to reproduce.

Bogosort can be viewed as a trial and error approach to sorting a list.

In mathematics, the method of trial and error can be used to solve formulae - it is a slower, less precise method than algebra, but is easier to understand.

ee also

* Brute force attack
* Brute-force search
* Empiricism

Notes