Boolean-valued function

A boolean-valued function (sometimes called a predicate or a proposition) is a function of the type f : X → B, where X is an arbitrary set and where B is a boolean domain, i.e. a generic two-element set, (for example B = {0, 1}), whose elements are interpreted as logical values, for example, 0 = false and 1 = true.

In the formal sciences, mathematics, mathematical logic, statistics, and their applied disciplines, a boolean-valued function may also be referred to as a characteristic function, indicator function, predicate, or proposition. In all of these uses it is understood that the various terms refer to a mathematical object and not the corresponding semiotic sign or syntactic expression.

In formal semantic theories of truth, a truth predicate is a predicate on the sentences of a formal language, interpreted for logic, that formalizes the intuitive concept that is normally expressed by saying that a sentence is true. A truth predicate may have additional domains beyond the formal language domain, if that is what is required to determine a final truth value.

Space

Space is the boundless three-dimensional extent in which objects and events have relative position and direction. Physical space is often conceived in three linear dimensions, although modern physicists usually consider it, with time, to be part of a boundless four-dimensional continuum known as spacetime. The concept of space is considered to be of fundamental importance to an understanding of the physical universe. However, disagreement continues between philosophers over whether it is itself an entity, a relationship between entities, or part of a conceptual framework.

Valotte

Valotte is the debut pop studio album by singer-songwriter Julian Lennon. The album was produced by Phil Ramone and recorded at several studios from February to August 1984. It was released in October 1984 on Charisma and Atlantic. The album was first certified gold in the United States, in the new year, then shortly afterwards being certified platinum. From the album, four singles were released, each with a music video, charting at various positions on the singles charts in both the United Kingdom and US. "Too Late for Goodbyes", the second US single, and "Valotte", the first US single, were both US Billboard Top 10 hits, the former reaching number 5 and the latter reaching number 9. The album peaked at number 17 and 20 in the US and UK, respectively. In early 1985, a few months after the release of the album, Lennon went on tour around the US, Australia, and Japan from March to June 1985.

Background

Space (The Arrogant Worms album)

Space, stylized as SPACE, is the fourteenth album by the Canadian comedy music group, The Arrogant Worms. It was released in March 2014.

Track listing