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Wiktionary
common knowledge

n. 1 What "everybody knows", often with reference to a specific community; something which cannot reasonably be contested. 2 (context logic game theory English) A special kind of knowledge for a group of agents, such that when all the agents in a group ''G'' know ''p'', they all know that they know ''p'', they all know that they all know that they know ''p'', and so on ad infinitum.

WordNet
common knowledge

n. something generally known to everyone

Wikipedia
Common knowledge (logic)

Common knowledge is a special kind of knowledge for a group of agents. There is common knowledge of p in a group of agents G when all the agents in G know p, they all know that they know p, they all know that they all know that they know p, and so on ad infinitum.

The concept was first introduced in the philosophical literature by David Kellogg Lewis in his study Convention (1969). The sociologist Morris Friedell defined common knowledge in a 1969 paper. It was first given a mathematical formulation in a set-theoretical framework by Robert Aumann (1976). Computer scientists grew an interest in the subject of epistemic logic in general – and of common knowledge in particular – starting in the 1980s. There are numerous puzzles based upon the concept which have been extensively investigated by mathematicians such as John Conway.

The philosopher Stephen Schiffer, in his book Meaning, independently developed a notion he called "mutual knowledge" which functions quite similarly to Lewis's "common knowledge".

Common knowledge

Common knowledge is knowledge that is known by everyone or nearly everyone, usually with reference to the community in which the term is used. Common knowledge need not concern one specific subject, e.g., science or history. Rather, common knowledge can be about a broad range of subjects, such as science, literature, history, and entertainment. Often, common knowledge does not need to be cited. Common knowledge is distinct from general knowledge. The latter has been defined by differential psychologists as referring to "culturally valued knowledge communicated by a range of non-specialist media", and is considered an aspect of ability related to intelligence. Therefore there are substantial individual differences in general knowledge as opposed to common knowledge.

The assertion that something is "common knowledge" is sometimes associated with the fallacy argumentum ad populum (Latin: "appeal to the people"). The fallacy essentially warns against assuming that just because everyone believes something is true, it is true. Misinformation is easily introduced into rumours by intermediate messengers.

Many techniques have been developed in response to the question of distinguishing truth from fact in matters that have become "common knowledge". The scientific method is usually applied in cases involving phenomena associated with astronomy, mathematics, physics, and the general laws of nature. In legal settings, rules of evidence generally exclude hearsay (which may draw on "facts" someone believes to be "common knowledge").

" Conventional wisdom" is a similar term also referring to ostensibly pervasive knowledge or analysis.

Usage examples of "common knowledge".

If the known present state of things is such that the act done will very certainly cause death, and the probability is a matter of common knowledge, one who does the act, [54] knowing the present state of things, is guilty of murder, and the law will not inquire whether he did actually foresee the consequences or not.

Common sense and common knowledge are as often sufficient to determine whether proper care has been taken of an animal, as they are to say whether A or B owns it.