In semantics, truth conditions are what obtain precisely when a sentence is true. For example, "It is snowing in Nebraska" is true precisely when it is snowing in Nebraska. In the main, semantics (from the Greek semantikos, or significant meaning, derived from sema, sign) is the study of meaning, in some sense of that term. ... In linguistics, a sentence is a unit of language, characterised in most languages by the presence of a finite verb. ... When someone sincerely agrees with an assertion, they might claim that it is the truth. ...

More formally, we can think of a truth condition as what makes for the truth of a sentence in an inductive definition of truth. (For details, see the semantic theory of truth.) Understood this way, truth conditions are theoretical entities. To illustrate with an example: suppose that, in a particular truth theory, the word "Nixon" refers to Richard M. Nixon, and "is alive" is associated with the set of currently living things. Then one way of representing the truth condition of "Nixon is alive" is as the ordered pair <Nixon, {x: x is alive}>. And we say that "Nixon is alive" is true if and only if the referent of "Nixon" belongs to the set associated with "is alive", that is, if and only if Nixon is alive. A recursive definition is a one which defines a word in terms of itself, albeit in a useful way. ... The semantic theory of truth holds that any assertion that a proposition is true can be made only as a formal requirement regarding the language in which the proposition itself is expressed. ... In general, a reference is something that refers or points to something else, or acts as a connection or a link between two things. ... Order: 37th President Vice President: Spiro Agnew (1969–1973), Gerald R. Ford (1973–1974) Term of office: January 20, 1969 – August 9, 1974 Preceded by: Lyndon B. Johnson Succeeded by: Gerald R. Ford Date of birth: January 9, 1913 Place of birth: Yorba Linda, California Date of death: April 22... In mathematics, a set can be thought of as any collection of distinct things considered as a whole. ... An ordered pair is a collection of two objects such that one can be distinguished as the first element and the other as the second element. ...

In semantics, the truth condition of a sentence is almost universally considered to be distinct from its meaning. The meaning of a sentence is conveyed if the truth conditions for the sentence are understood. Additionally, there are many sentences that are understood although their truth condition is uncertain. One popular argument for this view is that some sentences are necessarily true--that is, they are true whatever happens to obtain. All such sentences have the same truth conditions, but arguably do not thereby have the same meaning. Likewise, the sets {x: x is alive} and {x: x is alive and x is not a rock} are identical--they have precisely the same members--but presumably the sentences "Nixon is alive" and "Nixon is alive and is not a rock" have different meanings. In the main, semantics (from the Greek semantikos, or significant meaning, derived from sema, sign) is the study of meaning, in some sense of that term. ...