**BOOK SUMMARY :**

Cantors work is of great philosophical interest a fact of which he was well aware in 1895 97 cantor fully propounded his view of continuity and the infinite including infinite ordinals and cardinals in his best known work contributions to the founding of the theory of transfinite numbers chapter 1 contributions to the founding of the theory of transfinite numbers introduction i if it is safe to trace back to any single man the origin of those conceptions with which pure mathematical analysis has been chiefly occupied during the nineteenth century and up to the present time we must i think trace it back to jean baptiste joseph fourier 17681830contributions to the founding of the theory of transfinite numbers item preview remove circle contributions to the founding of the theory of transfinite numbers by georg cantor publication date 1915 publisher dover publications collection universallibrary contributor iisc language englishcontributions to the founding of the theory of transfinite numbers translated and provided with an introd and notes 1915 dover publicationsthe famous articles dating from 18957 that founded a new branch of mathematics covers addition multiplication and exponentiation of cardinal numbers smallest transfinite cardinal numbers ordinal types of simple ordered aggregates and operations on ordinal types develops theory of well ordered aggregates investigates ordinal numbers of well ordered aggregates and more