Practice question · True or false
A definition can be true or false.
Hints
- Ask what a definition actually asserts about the world.
- Could you disprove the meaning of the word 'even'?
Show the answer
False
Why
False. A definition stipulates what a word means; it makes no claim that could fail. Definitions can be useful or useless, natural or awkward, but not true or false. Only statements built using them can be.
Practise The Structure of Mathematical Reasoning
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