Sudan, born in Chennai, India, was recognized for work on proving mathematical statements by computer and for error-correcting codes used in compact disc recordings and the Internet.
42.
Mathematical symbols appear in a toolbar at the top of the screen and the user can combine these along with numbers and / or variables to create complex equations and mathematical statements.
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The equivalent theorem is that for any formal system F, there exists a mathematical statement which can be interpreted as " This statement is not provable in formal system F ".
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The idea that mathematical statements could be proven had not been developed yet, so these were the earliest forms of the concept of proof, despite not being actual proof at all.
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The truth of a mathematical statement, in this view, is represented by the fact that the statement can be derived from the axioms of set theory using the rules of formal logic.
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The mathematical portion of the " " was composed of 33 " sktras " ( in verse form ) consisting of mathematical statements or rules, but without any proofs.
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Below the letters in the mathematical statements are used as variables where each can take the value either "'0 "'or "'1 "'only.
48.
The Church Turing thesis is a mathematical statement of this versatility : any computer with a certain minimum capability is, in principle, capable of performing the same tasks that any other computer can perform.
49.
Whether it is meaningful ( and, if so, what it means ) for an axiom, or any mathematical statement, to be " true " is an open question in the philosophy of mathematics.
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A frequently noted example is that Aristotle's logic is unable to represent mathematical statements like Euclid's theorem, a fundamental statement of number theory that there are an infinite number of prime numbers.
