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For questions related to teaching mathematics. For questions in Mathematics Education as a scientific discipline there is also the tag mathematics-education. Note you may also ask your question on http://matheducators.stackexchange.com/.
78
votes
What are the most misleading alternate definitions in taught mathematics?
A simple example is the two definitions for independence of events:
A and B are independent iff $P(A\cap B) = P(A)P(B)$
A is independent from B iff $P(A\mid B) = P(A)$
Some presentations start wit …
34
votes
What are the most misleading alternate definitions in taught mathematics?
Another simple example is the definition for equivalence relations:
R(.,.) is an equivalence relation iff R is reflexive, symmetric, and transitive.
R(.,.) is an equivalence relation iff there exist …