Uniqueness quantification
Uniqueness is an assignment in which a character ( for example, a word, a sentence ) has exactly one meaning.
Unique are also social situations that are not or hardly be misunderstood - as opposed to conflict situations whose stimulus constellations are to name ambiguous and their processing requires a larger effort than is the case with unique situations. The design really unique situations, however, is a difficult task, since the perception and processing of the stimuli by different individuals is usually different from each other and could therefore be regarded as probably not unique. So it is in the social context makes sense to speak of a more or less unique situations.
Linguistics
Linguistic utterances are often ambiguous. But legal texts or scientific work should be as unique as possible.
One of the most difficult problems in the automatic processing of natural language is to resolve the ambiguity of linguistic signs on an interpretation out. People succeed, as well as the distinction between intentional and unintentional ambiguity, easily. Language processing programs of today's generation often fail. Through the context of ambiguous texts can be unique.
There are several ways to create uniqueness.
- In technical language, the words or characters are possible precisely defined.
- In the vernacular Additional information will be used.
Through language change, the earlier uniqueness of a word may be lost and it formed polysemous or homonymous words with two or more meanings.
To make a language unique, they can be normalized. This applies especially to programming languages on.
In science it often has advantages to use foreign words whose meaning is not clear or is derivable from the components. It is then easier to define them precisely and clearly, because otherwise long cover embossed basic meanings of the native language definitions. For example, " verb " is the German word for " verb". However, a verb denotes not necessarily an activity during a verb is required to designate an activity does not necessarily. In "I have something," describes the verb rather a state or a relationship, as an activity. In " Walking a minute. " Means " walking " is an activity, but is a noun, so a word thing. The word " verb " refers to a grammatical class of words, not an activity. The word " verb " refers to the same word class, but appears ambiguous, since in ordinary language an activity connects with it.
Mathematics
P denote an abstract mathematical problem. We say that x is a solution of P if P ( x) is a true statement. P is released if an x exists, so that P (x) is true. To define the uniqueness we need not necessarily presuppose the existence of a solution. P is called unique if any two solutions of P same. Uniqueness may be in the predicate logic by
Be expressed.
Assignments can be unique or ambiguous in two directions ( called relations). Legal Unique assignments are called figures or functions ( ie clearly: no element of " left " has thus uniquely determined more than an assigned partner on the " right side ", the " right partner " of an element, where it is intellectually usefully easily separated into two " sides," such as in signs and their meanings in the case of a language ). A function has a more specific definition of each element of a set A ( an x value ) exactly one element of a target set B ( a y- value). Functions or pictures can also be injective, surjective, or bijective. Links Unique (so-called injective ) mappings (no element of B has more than one partner in A) assign each element of the " right side " up to one, so clearly a " left partner " to.
To stay with the example of a language that would correspond to the amount of characters or words then the "left side" and the set of meanings or concepts of " right ". A fairly distinct language, now would mean they did not contain homonyms. A left unambiguous language did not contain synonyms. A left -and right- unique language consequently neither synonyms nor homonyms and would thus maximum clearly (example: Controlled vocabulary).