With the emergence of the new geometries and the new algebras, and with the general increase in abstraction that mathematics underwent in the nineteenth century, there came a need to find new foundations for the subject. If Euclid's certainties were to be dispensed with, where were mathematicians to find secure footing? Three main schools of thought emerged; the first, Logicism, saw in the work of Cantor a new beginning.
( Logicism: First Try )Ramble Contents