Suppose an astronomer asserts 'Every solar system in the Milky Way galaxy contains a planet such that all the moons revolving around that planet have life forms.' 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.
TestStop has 6 past-paper questions on this subtopic.
Question from the DSE 2004 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.