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To quote men far better than I:
Manifesto for Agile Software Development
We are uncovering better ways of developing software by doing it and helping others do it.
Through this work we have come to value:
Individuals and interactions over processes and tools
Working software over comprehensive documentation
Customer collaboration over contract negotiation
Responding to change over following a plan
That is, while there is value in the items on the right, we value the items on the left more.
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If your process delivers on the above. It is agile. If not. It isn't.
And personally: I prefer agile as stated above, but I have yet to find a SCRUM team I'd work on.