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He was 43 years old in the year 1849 =
.
Hence, he was born in the year 1849 - 43 = 1806.
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Augustus De Morgan (27 June 1806 – 18 March 1871) was a British mathematician and logician.
He formulated De Morgan's laws and introduced the term mathematical induction, making its idea rigorous.
See this Wikipedia article : https://en.wikipedia.org/wiki/Augustus_De_Morgan