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:

Bryan Adams, OC OBC (born Bryan Guy Adams, 5 November 1959) is a Canadian rock singer-songwriter, guitarist, bassist, producer, actor and photographer. For his contributions to music, Adams has many awards and nominations, including 20 Juno Awards among 56 nominations, 15 Grammy Award nominations including a win for Best Song Written Specifically for a Motion Picture or Television in 1992. He has also won MTV, ASCAP, and American Music awards. In addition, he has won two Ivor Novello Awards for song composition and has been nominated for several Golden Globe Awards and three times for Academy Awards for his songwriting for films.

Adams was awarded the Order of Canada and the Order of British Columbia for contributions to popular music and philanthropic work via his own foundation, which helps improve education for people around the world.

Adams was inducted into the Hollywood Walk of Fame, with the 2,435th star in March 2011 and Canada's Walk of Fame in 1998, and in April 2006 he was inducted into the Canadian Music Hall of Fame at Canada's Juno Awards. In 2008, Bryan was ranked 38 on the list of All-Time top artists by the Billboard Hot 100 50th Anniversary Charts. On 13 January 2010, he received the Allan Waters Humanitarian Award for his part in numerous charitable concerts and campaigns during his career, and on 1 May 2010 was given the Governor General's Performing Arts Award for his 30 years of contributions to the arts.

Roderick David "Rod" Stewart, CBE (born 10 January 1945) is a British singer-songwriter, born and raised in North London, England, and currently residing in Epping. He is of Scottish and English ancestry.

With his distinctive raspy singing voice, Stewart came to prominence in the late 1960s and early 1970s with The Jeff Beck Group and then Faces. He launched his solo career in 1969 with his debut album An Old Raincoat Won't Ever Let You Down (US: The Rod Stewart Album). His work with The Jeff Beck Group and Faces influenced heavy metal genres.

With his career in its fifth decade, Stewart has sold over 100 million records worldwide, making him one of the best selling artists of all time. In the UK, he has had six consecutive number one albums, and his tally of 62 hit singles include 31 that reached the top 10, six of which gained the number one position. He has had 16 top ten singles in the U.S, with four of these reaching number one on the Billboard Hot 100. In 2008, Billboard magazine ranked him the 17th most successful artist on the "The Billboard Hot 100 Top All-Time Artists". He was voted at #33 in Q Magazine's list of the top 100 Greatest Singers of all time, and #59 on Rolling Stone 100 Greatest Singers of all time. As a solo artist, Stewart was inducted into the Rock and Roll Hall of Fame in 1994, and was inducted a second time, as a member of Faces, in April 2012.