Proof | |
---|---|
Directed by | John Madden |
Screenplay by | Rebecca Miller David Auburn |
Based on | Proof by David Auburn |
Produced by | Alison Owen Jeffrey Sharp John Hart |
Starring | Gwyneth Paltrow Anthony Hopkins Jake Gyllenhaal Hope Davis |
Cinematography | Alwin H. Küchler |
Edited by | Mick Audsley |
Music by | Stephen Warbeck |
Distributed by | Miramax Films |
Release dates |
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Running time | 100 minutes |
Country | United States |
Language | English |
Budget | $20 million |
Box office | $14,189,860 |
Proof is a 2005 American drama film directed by John Madden and starring Gwyneth Paltrow, Anthony Hopkins, Jake Gyllenhaal, and Hope Davis. The screenplay was written by Rebecca Miller and David Auburn and based on Auburn's Pulitzer Prize-winning play of the same name.
Robert, a brilliant mathematician who used to work at the University of Chicago startles his daughter Catherine while she watches TV. He gives her a bottle of champagne for her birthday, and they chat. All of this turns out to be a dream; Robert died the previous week, after a long period of crippling mental illness, and his funeral is tomorrow.
Meanwhile, Hal, a former graduate student of Robert's, is reading through the latter's notebooks, which are filled with meaningless notes. Hal believes that Robert's genius may have withstood his mental illness, and clues to that genius might lie in one of his notebooks. When Hal comments on the vast amount of work Robert did, a suspicious Catherine searches Hal's backpack. A notebook eventually falls out of his coat. He explains that he wanted to give the notebook as a birthday present because it "had something written in it about her". Hal is forced to leave, giving the notebook as intended, when Catherine calls the police.
The next day, Catherine's sister, New Yorker Claire, arrives in town. At the funeral, Catherine berates the many attendants for not being there for Robert during his descent into insanity. She ends by saying she is glad her father died and leaves mid-funeral.
Claire decides to sell Robert's house back to the university and wants Catherine to come with her to New York. A wake held at the house the night is attended by academic mathematicians. Hal appears and chats up Catherine. Softening up to Hal, Catherine has sex with him.
In flashbacks, Robert is shown invigorated, believing that he has seen the beginnings of a new mathematical proof that will prove his triumph over mental illness. In the present, Catherine gives Hal a key to Robert's desk and tells him to check the locked drawer for a notebook which contains an important proof. Excited, he shows the discovery to Catherine and Claire. He asks how long Catherine knew about this and why she did not mention it. Claire, a promising mathematician herself, says that she wrote it and not Robert, despite evidence to the contrary. Neither Hal nor Claire believe Catherine. Hal believes that the proof's mathematics are beyond Catherine, while Claire suspects that Catherine is suffering the onset of mental illness. Hal decides to take the notebook to the math department to verify the proof's accuracy.
He eventually returns as Claire and Catherine are leaving, with news that the math department believes the proof to be valid. Hal does not think that Robert wrote the proof because it employs newer mathematics and wants Catherine to explain it. Catherine remains stung by his earlier lack of trust, and the sisters leave for the airport. Hal sprints after the car and throws the book through the window and onto Catherine's lap.
In another flashback, it is revealed that, while living together, Robert challenged Catherine to work on math, which she does, ultimately completing a proof, which she describes in one of the house's notebooks. Catherine goes to tell Robert about the breakthrough, but he insists that she read aloud the proof that he is working on. To Catherine's disappointment, Robert's notebook contains only ramblings. Reading his work, Catherine realizes that Robert has not overcome his mental illness.
Catherine has begun to come to terms with herself, aided by Hal's confidence in her. She decides that she does not need to go with her sister to New York and leaves the airport. She returns to the University of Chicago, where she and Hal meet up and discuss the proof.
The film is based on the four-character stage play Proof . The film adds many bit parts for the sake of realism, and "opens up" the setting considerably. The role of Catherine was first played by Mary-Louise Parker in the play's 2000 Manhattan Theatre Club original production. Gwyneth Paltrow played Catherine in a London stage production before being cast in the film.
Hopkins' character is a mathematics professor at the University of Chicago. Although scenes were filmed on the university's campus, the mathematics building itself (Eckhart Hall) was not used. Instead, scenes that were set in the math building were actually shot at the Divinity School. The film opens with a pan of Gwyneth Paltrow's character bicycling across the Midway Plaisance and shows scenes in the quadrangle before Harper Library.
Proof opened at #35 in its opening weekend with $193,840 and went on to gross $7,535,331 in the USA and $14,189,860 worldwide. [1]
Proof received generally positive reviews from film critics. Review aggregator Rotten Tomatoes gave the film a 62% rating, with an average rating of 6.4/10, based on 143 reviews. The consensus reads, "Gwyneth Paltrow and Anthony Hopkins give exceptional performances in a film that intelligently tackles the territory between madness and genius." [2]
Gwyneth Paltrow received a Golden Globe Award nomination for Best Actress – Motion Picture Drama for Proof, but lost to Felicity Huffman for Transamerica .
The film won the Georges Delerue Award for Best Soundtrack/Sound Design at Film Fest Gent in 2005.
Since 1993 (when Andrew Wiles first claimed to have proven Fermat's Last Theorem), there have been several feature films about mathematicians, notably Good Will Hunting (1997), A Beautiful Mind (2001), Proof (2005), Travelling Salesman (2012), The Imitation Game (2014), and Gifted (2017).
In 2006, mathematician Daniel Ullman wrote: "Of [the first] three films, Proof is the one that most realistically illustrates the world of mathematics and mathematicians." Ullman praised the director too: "Madden should be credited with capturing the feeling of the mathematical world." [3] He also called Proof: "richer and deeper, simultaneously both funnier and more serious, than either A Beautiful Mind or Good Will Hunting." [3]
Timothy Gowers of the University of Cambridge, a Fields Medalist, and Paul Sally of the University of Chicago, acted as mathematical consultants, [4] although the latter was dismissive of the film's mathematical relevance and accuracy.
Some cited mathematical concepts are Sophie Germain primes, taxicab numbers, abstract algebra, differential equations. Around minute 31 the protagonist cites by heart the number , saying that it is the largest known Germain prime. Although it is a prime and also a Sophie Germain prime, since twice that number plus one () is also prime, assuming that the film references contemporary time, by the time it was shot and projected (2004–2005) it was not the largest Sophie Germain prime, by a substantial margin. [5]
Marie-Sophie Germain was a French mathematician, physicist, and philosopher. Despite initial opposition from her parents and difficulties presented by society, she gained education from books in her father's library, including ones by Euler, and from correspondence with famous mathematicians such as Lagrange, Legendre, and Gauss. One of the pioneers of elasticity theory, she won the grand prize from the Paris Academy of Sciences for her essay on the subject. Her work on Fermat's Last Theorem provided a foundation for mathematicians exploring the subject for hundreds of years after. Because of prejudice against her sex, she was unable to make a career out of mathematics, but she worked independently throughout her life. Before her death, Gauss had recommended that she be awarded an honorary degree, but that never occurred. On 27 June 1831, she died from breast cancer. At the centenary of her life, a street and a girls' school were named after her. The Academy of Sciences established the Sophie Germain Prize in her honour.
Gwyneth Kate Paltrow is an American actress and businesswoman. The daughter of filmmaker Bruce Paltrow and actress Blythe Danner, she established herself as a leading lady appearing in mainly mid-budget and period films during the 1990s and early 2000s, before transitioning to blockbusters and franchises. Her accolades include an Academy Award, a Golden Globe Award, and a Primetime Emmy Award.
Srinivasa Ramanujan Aiyangar (22 December 1887 – 26 April 1920) was an Indian mathematician. Though he had almost no formal training in pure mathematics, he made substantial contributions to mathematical analysis, number theory, infinite series, and continued fractions, including solutions to mathematical problems then considered unsolvable.
In number theory, a prime number p is a Sophie Germain prime if 2p + 1 is also prime. The number 2p + 1 associated with a Sophie Germain prime is called a safe prime. For example, 11 is a Sophie Germain prime and 2 × 11 + 1 = 23 is its associated safe prime. Sophie Germain primes and safe primes have applications in public key cryptography and primality testing. It has been conjectured that there are infinitely many Sophie Germain primes, but this remains unproven.
Bruce Weigert Paltrow was an American television and film director and producer. He was the husband of actress Blythe Danner, and the father of actress Gwyneth Paltrow and screenwriter/director Jake Paltrow.
Proof is a 2000 play by the American playwright David Auburn. Proof was developed at George Street Playhouse in New Brunswick, New Jersey, during the 1999 Next Stage Series of new plays. The play premiered Off-Broadway in May 2000 and transferred to Broadway in October 2000. The play won the 2001 Pulitzer Prize for Drama and the Tony Award for Best Play.
Sir William Timothy Gowers, is a British mathematician. He is Professeur titulaire of the Combinatorics chair at the Collège de France, and director of research at the University of Cambridge and Fellow of Trinity College, Cambridge. In 1998, he received the Fields Medal for research connecting the fields of functional analysis and combinatorics.
Shallow Hal is a 2001 American romantic comedy film starring Gwyneth Paltrow and Jack Black about a man who falls in love with a 300-pound (140-kilogram) woman after being hypnotized into only seeing a person's inner beauty. Directed by the Farrelly brothers, it was filmed in and around Charlotte, North Carolina as well as Sterling and Princeton, Massachusetts at Wachusett Mountain. The supporting cast features Jason Alexander, Joe Viterelli, and Susan Ward. Shallow Hal was released in theaters on November 9, 2001 by 20th Century Fox, and grossed $141 million against a $40 million budget.
A mental calculator or human calculator is a person with a prodigious ability in some area of mental calculation.
Shakuntala Devi was an Indian mental calculator, astrologer, and writer, popularly known as the "Human Computer". Her talent earned her a place in the 1982 edition of The Guinness Book of World Records. However, the certificate for the record was given posthumously on 30 July 2020, despite Devi achieving her world record on 18 June 1980 at Imperial College, London. Devi was a precocious child and she demonstrated her arithmetic abilities at the University of Mysore without any formal education.
Duets is a 2000 American road trip musical comedy-drama film co-produced and directed by Bruce Paltrow and written by John Byrum. The motion picture features an ensemble cast with Gwyneth Paltrow, Huey Lewis, Paul Giamatti, Maria Bello, Angie Dickinson, Scott Speedman, and Andre Braugher among others. The movie "revolves around the little known world of karaoke competitions and the wayward characters who inhabit it."
Leigh Zimmerman is an American actress, singer and dancer. She has appeared on Broadway in The Will Rogers Follies, Crazy for You and A Funny Thing Happened on the Way to the Forum with Nathan Lane and created the role of Go-To-Hell-Kitty in the 1996 Broadway production of Chicago The Musical. Leigh is also known for London's West End productions of The Seven Year Itch, Chicago, role of Velma Kelly, Contact, role of The Girl in the Yellow Dress, The Producers, role of Ulla and A Chorus Line, role of Sheila, for which she won an Olivier Award in 2013.
Ramanujan's lost notebook is the manuscript in which the Indian mathematician Srinivasa Ramanujan recorded the mathematical discoveries of the last year (1919–1920) of his life. Its whereabouts were unknown to all but a few mathematicians until it was rediscovered by George Andrews in 1976, in a box of effects of G. N. Watson stored at the Wren Library at Trinity College, Cambridge. The "notebook" is not a book, but consists of loose and unordered sheets of paper described as "more than one hundred pages written on 138 sides in Ramanujan's distinctive handwriting. The sheets contained over six hundred mathematical formulas listed consecutively without proofs."
Love and Other Disasters is a 2006 romantic comedy film written and directed by Alek Keshishian. It had its world premiere at the 2006 Toronto International Film Festival. In 2008, the film had its UK premiere in London as the gala screening for the BFI 22nd London Gay and Lesbian Film Festival.
Arthur T. Benjamin is an American mathematician who specializes in combinatorics. Since 1989 he has been a professor of mathematics at Harvey Mudd College, where he is the Smallwood Family Professor of Mathematics.
"The Substitute" is the seventh episode of the second season of the American television series Glee, and the twenty-ninth episode overall. It was written by Ian Brennan, directed by Ryan Murphy, and premiered on Fox on November 16, 2010. The episode guest stars Gwyneth Paltrow as Holly Holliday, a substitute teacher who takes the place of glee club director Will Schuester while he is ill. Cheerleading coach Sue Sylvester causes problems as the fill-in substitute principal of William McKinley High School after she gets Principal Figgins infected with the flu, and glee club members Mercedes Jones and Kurt Hummel experience tension in their friendship.
Holly Holliday is a recurring fictional character from the Fox musical comedy-drama series, Glee. Portrayed by Gwyneth Paltrow, the character appeared in three episodes during the show's second season and two episodes of the fifth. This was Paltrow's first role on television. Holly was developed by Glee co-creator Ryan Murphy, a personal friend of Paltrow's, who suggested that she showcase her vocal and dancing abilities ahead of the release of her film Country Strong, in which she played a country singer. Introduced as a substitute teacher who takes the place of glee club director Will Schuester while he is ill, she forms a romantic bond with Will, but decides to break up with him and takes a teaching job in another town after realizing that he is still in love with Emma Pillsbury.