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Archimedes faced several challenges during his life, including political instability in Syracuse, his home city, particularly during the Roman siege. He struggled to apply his scientific discoveries in practical ways, as many of his inventions were used for military purposes, which conflicted with his philosophical ideals. Additionally, despite his significant contributions to mathematics and engineering, Archimedes often contended with a lack of recognition during his lifetime. Ultimately, he met a tragic end during the Roman conquest of Syracuse, highlighting the precariousness of his situation.
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