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— Marilyn vos Savant"Geometry is beautifully logical, and it teaches you how to think and prove that things are so, step by step by step. Proofs are excellent lessons in reasoning. Without logic and reasoning, you are dependent on jumping to conclusions or - worse - having empty opinions."
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What (Stephen) Hawking says in his book The Grand Design is the universe exists because it needed to exist, and because it needed to exist, it therefore created itself. His conclusion merely restates his premise, which means his argument is circular. Nonsense is nonsense, even when spoken by famous scientists.
— John Lennox
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Precisely constructed models for linguistic structure can play an important role, both negative and positive, in the process of discovery itself. By pushing a precise but inadequate formulation to an unacceptable conclusion, we can often expose the exact source of this inadequacy and, consequently, gain a deep understanding of the linguistic data. More positively, a formalized theory may automatically provide solutions for many problems other than those for which it was explicitly designed.
— Noam Chomsky
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