Church turing thesis 1936
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Theoretical Computer Science Stack Exchange is a question and answer site for theoretical computer scientists and researchers in related fields. It only takes a minute to sign up. Connect and share knowledge within a single location that is structured and easy to search. Yet many discussions on the Philosophy SE where I usually hang out turn to the possibility of "Super-Turing" computation, and arguments in philosophy of mind question are frequently hinged on the proposition that Church-Turing is just a thesis and the there are several proposals for super-Turing computation or hypercomputation. In particular the article has a section titled "Misunderstandings of the thesis" , which states the following:.
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History of the Church–Turing thesis - Wikipedia
This will create an email alert. Alonzo Church. Sentences that refer to both. Princeton University - Wikipedia.
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History of the Church–Turing thesis
In computability theory , the Church—Turing thesis also known as computability thesis ,  the Turing—Church thesis ,  the Church—Turing conjecture , Church's thesis , Church's conjecture , and Turing's thesis is a hypothesis about the nature of computable functions. It states that a function on the natural numbers can be calculated by an effective method if and only if it is computable by a Turing machine. Before the precise definition of computable function, mathematicians often used the informal term effectively calculable to describe functions that are computable by paper-and-pencil methods. In the s, several independent attempts were made to formalize the notion of computability :.
A principle according to which the class of functions computable by means of algorithms in the broad intuitive sense cf. Algorithm , coincides with the class of partial recursive functions. Church' thesis is this fact of nature, which is confirmed by the experience accumulated in mathematics throughout its history. All known examples of algorithms in mathematics satisfy it.
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