
It usually means dissent, disagreement and struggle.

To realize that the proven path may be wrong and that a new approach may be required abhors many if not most people. The safe way is to remain on the proven path. Every solution appears to bring its own problems. In science, technology and engineering almost nothing is easy. Some of them receive recognition posthumously, even fewer receive recognition during their life time. With no significant source of income, often ignored or ridiculed by contemporaries, they manage to lead the way into new directions. Sometimes their transition into acknowledged science is relatively smooth. They often challenge the fundamental beliefs of current science.

Often, these researchers are difficult people, sometimes identified as "crackpots". Sometimes one can use an unproven lemma and start building a theory upon it even though its correctness is questioned by others.ĭissent from existing theory or practice, especially by scientists or inventors who are not part of the "establishment" is a known aspect of the history of science. Lemma scientists, engineers and inventors Strength of mind that allows one to endure pain or adversity with courage.

A good stepping stone leads to many others, so some of the most powerful results in mathematics are known as lemmata: Zorn's lemma, Bézout's lemma, Gauss lemma, Fatou's lemma, Nakayama lemma, etc. In mathematics, a lemma is a proven proposition which is used as a stepping stone to a larger result rather than an independent statement, in and of itself. The correct Greek plural of lemma is lemmata.
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