What is a thesis defense ? A thesis defense has two parts: a thesis and a defense. The second mistake many students make is not knowing what their thesis is.
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Kleene himself never stated that Turing had made a mistake in his paper, important in its own right for helping to establish the unsolvability of problems in group theoretic computations, although corrections to Turing's paper were also made later by Boone who originally pointed out "points in the proof require clarification, which can be given"  and Turing's only phd student, Robin Gandy. That Kleene doesn't mention this mistake in the body of his textbook where his presents his work on Turing machines but buried the fact he was correcting Alan Turing in the appendix was appreciated by Turing himself can be surmised from the ending of Turing's last publication "Solvable and Unsolvable Problems" which ends not with a bibliography but the words,
1. “While the misinformation effect is a well-established phenomenon, ‘what remains in dispute is the nature of a satisfactory theoretical explanation’ (ref.). … Therefore, in order to understand why memory conformity occurs, we must draw from both cognitive research on memory and social research on conformity. In this section, relevant cognitive and social theories are discussed in order to (1) explain the occurrence of memory conformity and (2) describe factors that influence memory conformity.”