Mathematical fallacy

In mathematics, certain kinds of mistaken proof are often exhibited, and sometimes collected, as illustrations of a concept of mathematical fallacy. There is a distinction between a simple mistake and a mathematical fallacy in a proof: a mistake in a proof leads to an invalid proof just in the same way, but in the best-known examples of mathematical fallacies, there is some concealment in the presentation of the proof. For example, the reason validity fails may be a division by zero that is hidden by algebraic notation. There is a striking quality of the mathematical fallacy: as typically presented, it leads not only to an absurd result, but does so in a crafty or clever way. Therefore, these fallacies, for pedagogic reasons, usually take the form of spurious proofs of obvious contradictions. Although the proofs are flawed, the errors, usually by design, are comparatively subtle, or designed to show that certain steps are conditional, and should not be applied in the cases that are the exceptions to the rules.

Pyaar Tune Kya Kiya

Pyaar Tune Kya Kiya (English:Love,What Have You Done?) is a 2001 Indian romantic thriller film produced by Ram Gopal Varma and starring Fardeen Khan, Urmila Matondkar and Sonali Kulkarni. The soundtrack was composed by Sandeep Chowta and the songs are sung by Sonu Nigam, Sukhwinder Singh, Asha Bhosle, Alka Yagnik, Alisha Chinai, K. S. Chitra and Sowmya Raoh. The film marked Rajat Mukherjee's directorial debut. The film is mainly known for Matondkar's remarkable performance of an obsessed lover. The film was a huge success at the box office.

Plot

Jai (Fardeen Khan) is a fashion photographer, happily married to Geeta (Sonali Kulkarni). He meets Ria (Urmila Matondkar) in Goa. He takes photos of her without permission and publishes them in the magazine. The magazine becomes a huge hit because of those pictures. Vispy wants Ria to model for their magazine but she refuses because she is angry at Jai for publishing her pictures without asking her. Jai manages to convince her to model for their magazine. Ria begins to fall in love with Jai. Her father (Suresh Oberoi) is really happy that his daughter is finally in love (he doesn't know its Jai). Ria, to talk to Jai about marriage, goes to his house and gets a shocking surprise that Jai is married to Geeta. Stubborn and always having her way, she can't believe that the guy she loved is married.