The negation of the statement 'All dogs are mammals' is:
Understand the Problem
The question is asking for the correct negation of the universal statement 'All dogs are mammals.' The task requires identifying which option correctly negates the original statement.
Answer
Some dogs are not mammals.
The negation of the statement 'All dogs are mammals' is 'Some dogs are not mammals.'
Answer for screen readers
The negation of the statement 'All dogs are mammals' is 'Some dogs are not mammals.'
More Information
Logically, the negation of a universal statement (All X are Y) is an existential statement (Some X are not Y).
Tips
Confusing 'Some X are not Y' with 'No X are Y', which are not equivalent.
Sources
- PART 2 MODULE 1 LOGIC: Statements, Negations, Quantifiers - math.fsu.edu
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