In computability theory , the Church—Turing thesis also known as computability thesis , [1] the Turing—Church thesis , [2] 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 :.

Discussion The discussion is the key section of your thesis. The purpose of the discussion is to explain the central results and potential implications of your study. This is where you scrutinize your results and where the choice of method s is discussed including the possible influence of methodological biases and errors on data validity. The discussion should also address general limitations and weaknesses of the study and comment on these. The discussion of your results and final thesis argument should form the basis for your conclusions. Conclusions The conclusions section is where you summarize your answer s to the questions posed in your problem formulation.

The debate on how to write a good thesis statement has been there probably since thesis statements were invented. How can you write a brief and detailed statement that forms the basis on which your whole paper is written? Is it possible?

Use the guidelines below to learn the differences between thesis and purpose statements. In the first stages of writing, thesis or purpose statements are usually rough or ill-formed and are useful primarily as planning tools. A thesis statement or purpose statement will emerge as you think and write about a topic. The statement can be restricted or clarified and eventually worked into an introduction.

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