A number of mathematicians in the middle of the 20th century contributed to a series of books published in the name of a fictitious mathematician called Bourbaki. Suppose a sociological critic of science asserts: 'There exists a book by Bourbaki such that every chapter in that book contains a theorem whose validity depends on the reader's gender.' If this assertion is false, which of the following assertions must be true?
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Logic and proof techniques has come up 73 times in 3 exams since 2004.
This question is on Quantifiers and their negation, part of Logic and proof techniques in Mathematics.
Statements with 'for all' and 'there exists', and how they change when negated or reordered.
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Question from the DSE 2005 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.