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His works had been theoretical, rather than sensible, and had been the basis of mathematical research till the recovery of Greek and Arabic mathematical works. Further developments in algebra were made by Al-Karaji in his treatise al-Fakhri, the place he extends the methodology to incorporate integer powers and integer roots of unknown quantities. Something close to a proof by mathematical induction appears in a guide written by Al-Karaji around a thousand AD, who used it to show the binomial theorem, Pascal’s triangle, and the sum of integral cubes.
In the later nineteenth century, Georg Cantor established the first foundations of set concept, which enabled the rigorous remedy of the notion of infinity and has become the widespread language of almost all arithmetic. Cantor’s set principle, and the rise of mathematical logic within the hands of Peano, L.E.J. Brouwer, David Hilbert, Bertrand Russell, and A.N.
CONCLUSION 6 Current proof, though restricted, …