To me, a startup is simply a new company, especially one looking for finance. As startups are usually looking for financial backing, there is an element of uncertainty. As you can see from the article above, there are differences in the definition- with some adding a fourth element. If something is lean, it has no or little fat, so a lean startup suggests no waste and a flexibility because of that to me. It responds quickly and changes to meet needs.
I agree with Tdol. A "startup" is any new company, starting from scratch (from the very beginning) and gives no indication of how much money is involved. A "lean startup", however, is a brand new company which has been started with very little capital.
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