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he meant that if we can discover that one immovable point (the metaphorical place where he can stand and not move), then from that proven truth we can learn anything else- including the reason for human life.

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Q: What did Archimedes mean by a lever could move the world?
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How would you interpret Archimedes famous quotation Give me a place to stand and I will move the earth?

Prof. William Dunham explicates one version of the phrase in the series I'm now watching entitled "Great Thinkers, Great Theorems". In Lecture no. 6, "The Life and Works of Archimedes", Prof. Dunham states the quotation as "Give me a place to stand and I will move the earth." Here is a portion of what Prof Dunham explains this to mean: "What he (Archimedes) is getting at there is he understood the principle of the lever, the fulcrum, and if you had a long enough arm and you push down you can lift a very great weight - even the earth - should you have a long enough arm to do that."