In predicate logic, universal quantification formalizes the notion that something (a logical predicate) is true for everything, or every relevant thing. The resulting statement is a universally quantified statement, and we have universally quantified over the predicate. In symbolic logic, the universal quantifier (typically Failed to parse (Missing texvc executable; please see math/README to configure.): \forall , U+2200 ∀ , a turned A) is the symbol used to denote universal quantification, and is often informally read as "given any" or "for all". Universal quantification is distinct from existential quantification ("there exists"), which asserts that the property or relation holds for at least one member of the domain.

Quantification in general is covered in the article on quantification. Symbols are encoded U+2200 ∀ for all (HTML: ∀ ∀ as a mathematical symbol).

Suppose it is given that

2·0 = 0 + 0, and 2·1 = 1 + 1, and 2·2 = 2 + 2, etc.

This would seem to be a logical conjunction because of the repeated use of "and." However, the "etc." cannot be interpreted as a conjunction in formal logic. Instead, the statement must be rephrased:

Oliver "Olly" Stanley Murs (born 14 May 1984 in Witham, Essex, England) is an English singer-songwriter, musician and TV presenter. Murs rose to fame after being the runner-up on the sixth series of The X Factor. He is currently signed to Epic Records and Syco Music.

In late August 2010, Murs released his debut single "Please Don't Let Me Go", which debuted at number one on the UK Singles Charts, becoming Murs' second number one single after releasing "You Are Not Alone" with the other series 6 finalists. "Please Don't Let Me Go" received a Silver certification by the BPI. He released his second single from his debut album "Thinking of Me" which charted at number four on the UK Singles Charts, however the single also got a Silver certification by the BPI. "Heart Skips a Beat" was released and became his third number-one hit. Murs' second single from his follow up album In Case You Didn't Know, "Dance with Me Tonight", became his fourth to reach number one.

In November 2010, Murs released his self-titled debut album, which entered the UK Albums Chart at number two, with the biggest week one album sales for a debut album in 2010, with over 108,000 albums sold. The album went on to sell over 600,000 copies, and was certificated double platinum by the BPI. In November 2011, Murs released his second album, In Case You Didn't Know. The album entered the charts at number one, and has spawned two number one singles. In May 2011, it was announced that Murs would return to The X Factor to co-present spin-off show The Xtra Factor with Caroline Flack. It was also confirmed that Murs would present a Celebrity Club Classic show on Heart FM. He also has an active Twitter account with over 2 million followers as of May 2012.

Matthew Paige "Matt" Damon (born October 8, 1970) is an American actor, screenwriter, and philanthropist whose career was launched following the success of the film Good Will Hunting (1997) from a screenplay he co-wrote with friend Ben Affleck. The pair won an Academy Award for Best Original Screenplay and a Golden Globe Award for Best Screenplay for their work. Damon alone received multiple Best Actor nominations, including an Academy Award for his lead performance in the film.

Damon has since starred in commercially successful films such as Saving Private Ryan (1998), the Ocean's trilogy, and the Bourne series, while also gaining critical acclaim for his performances in dramas such as Syriana (2005), The Good Shepherd (2006), and The Departed (2006). He garnered a Golden Globe nomination for portraying the title character in The Talented Mr. Ripley (1999) and was nominated for an Academy Award for Best Supporting Actor in Invictus (2009). He is one of the top 40 highest grossing actors of all time. In 2007, Damon received a star on the Hollywood Walk of Fame and was named Sexiest Man Alive by People magazine. Damon has been actively involved in charitable work, including the ONE Campaign, H2O Africa Foundation, and Water.org.