Proof plot
"The biggest risk in life is not taking one."
Catherine (Gwyneth Paltrow), 25-year-old mentally unstable, has just buried her father Robert (Anthony Hopkins), a brilliant mathematician. The last years of his life, Robert was very confused, and Catherine has effaced herself to take care of her father. Her well-meaning but pushy sister (Hope Davis) wants Catherine to move in with her so that Catherine can get her life back under her guidance. However, Catherine needs the support of Hal (Jake Gyllenhaal), one of her students. When Hal discovers a brilliant math thesis in Robert's papers, Catherine claims she wrote it.
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