Question: Who wrote Peter and Gordon's biggest hit, "A World Without Love"?

Context paragraphs:
Gordon Waller: Gordon Trueman Riviere Waller (4 June 1945 – 17 July 2009) was a British singer–songwriter–guitarist, best known as Gordon of the 1960s pop music duo Peter and Gordon, whose biggest hit was the No. 1 million-selling classic "A World Without Love".

Sledgehammer (Peter Gabriel song): "Sledgehammer" is a song by English rock musician Peter Gabriel, which appeared on his 1986 album "So", and was produced by Gabriel and Daniel Lanois.  It hit No. 1 in Canada on 21 July 1986, where it spent four weeks; No. 1 on the "Billboard" Hot 100 chart in the United States on 26 July 1986; and No. 4 on the UK Singles Chart, thanks in part to a popular and influential music video.  It was his biggest hit in North America and ties with "Games Without Frontiers" as his biggest hit in the United Kingdom.

Nobody I Know: Nobody I Know is a song written by Paul McCartney (attributed to Lennon–McCartney) which Peter and Gordon recorded in an April 1964 Abbey Road Studio session: Peter and Gordon had had a UK/US #1 hit with the McCartney composition "A World Without Love" and McCartney wrote "Nobody I Know" with the specific intent of providing a follow-up hit for the duo.  The track reached #10 UK and #12 US.

A World Without Love: "A World Without Love" is a song recorded by the English duo Peter and Gordon and released as their first single in February 1964.  It was included on the duo's debut album in the UK, and in the US on an album of the same name.  The song was written by Paul McCartney and attributed to Lennon–McCartney.  The B-side was "If I Were You", written by Peter and Gordon.

The Terror (album): The Terror is the thirteenth studio album by experimental rock band the Flaming Lips, released on April 1, 2013 worldwide and April 16 in the U.S., on Warner Bros in the U.S. and Bella Union in the U.K.  It is the last album to feature drummer Kliph Scurlock who was fired from the band a year after this album's release.  Lead vocalist Wayne Coyne described the album's general idea in a press release:"We want, or wanted, to believe that without love we would disappear, that love, somehow, would save us that, yeah, if we have love, give love and know love, we are truly alive and if there is no love, there would be no life.  The Terror is, we know now, that even without love, life goes on... we just go on… there is no mercy killing."  Experimental composer Dan Deacon remixed the album in its entirety.

Rabbitt Trax: Rabbitt Trax is the tenth studio album by the country artist Eddie Rabbitt, released in 1986 by RCA Records.  The album produced four singles including "A World Without Love", "Repetitive Regret", "Both to Each Other (Friends and Lovers)" (a duet with the country-pop star Juice Newton) and "Gotta Have You".  All of thse singles reached the top ten on country charts, with the duet reaching number one.

Del Davis (singer): Del Davis is a reggae singer of the 1970s.  His cover of "World Without Love" was featured on "Mellow Dubmarine".

A World Without Love (Eddie Rabbitt song): "A World Without Love" is a song co-written and recorded by American country music artist Eddie Rabbitt.  It was released in October 1985 as the first single from the album "Rabbitt Trax".  The song reached number 10 on the "Billboard" Hot Country Singles & Tracks chart.  It was written by Rabbitt, Even Stevens and Phil Galdston.

Peter and Gordon: Peter and Gordon were a British pop duo, composed of Peter Asher (b. 1944) and Gordon Waller (1945–2009), who achieved international fame in 1964 with their first single, the million-selling transatlantic No.1 smash "A World Without Love".  The duo had several subsequent hits in the British Invasion-era.

Bad to Me: "Bad to Me" is a song credited to Lennon–McCartney.  In late interviews, John Lennon said that he wrote it for Billy J. Kramer with The Dakotas while on holiday in Spain.  However, in a 1964 interview he said that he and Paul McCartney wrote it in the back of a van, so Paul contributed to it.  Billy J. Kramer with The Dakotas released their recording of the song in 1963 and it became their first number 1 in the UK Singles Chart.  Paul McCartney was present during the recording session at Abbey Road Studios.  The single would be released in the US the following year, and become a top-ten hit there, reaching number 9.  It became one of the first occasions a Lennon–McCartney composition made the US Top 40 recorded by an artist other than the Beatles (the first being "A World Without Love" by Peter & Gordon; another being "Goodbye" by Mary Hopkin).

Supporting paragraphs: Gordon Waller A World Without Love
Answer: Paul McCartney