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Mathematics and numbers in general are important in all programming languages because the native language of the digital computer is a binary language, when we can represent numerically using the digits 0 and 1. While abstract languages like Visual Basic do their best to shield us from the underlying binary language, allowing us to use a more English-like language with decimal notation, we must still be conversant with binary notation (and its related bases, octal and hexadecimal) as well as binary mathematics and binary logic if we want to ensure that our algorithms work as efficiently as possible. Science and engineering use a more traditional approach with respect to mathematics, but there are very few professions where mathematics is not important. For instance, any construction worker will be able to tell you that any triangle with sides of 3, 4 and 5 units will form a perfect right-angle. While he may not know the precise reason why this works, mathematics -- and Pythagoras' theorum in particular -- prove that it works. Mathematical proofs are unquestionable; they are logical and factual. And in science and engineering, as well as programming, facts and logic make all the difference. Guessing will only get you so far (if at all), whereas mathematical proofs will always lead to bigger and better accomplishements, helping us to a better understanding of the physical world around us.

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