The Philosophy of Mathematics - With Special Reference to the Elements of Geometry and the Infinitesimal Method #248583

Now, what right have the teachers of geometry to require their pupils to assume as evident a principle which the very masters of the science are utterly nu able to receive as true? What right have they to require the mere tyro in geometry to embrace as a first principle what neither a Euclid nor an Archimedes could realize as possible? Even if their principle were true, what right have they to give such strong meat to babes, requiring them to Open their mouths.