admired his earnestness over this new paradox (as we thought it) and his fecundity. 'You must follow me carefully. I shall have to controvert one or two ideas that are almost universally accepted. The geometry, for instance, they taught you at school is founded on a misconception.' 'Is not that rather a large thing to expect us to begin upon?' said Filby, an argumentative person with red hair. 'I do not mean to ask you to accept anything without reasonable ground for it. You will soon admit as much as I need from you. You know of course that a mathematical line, a line of thickness _nil_, has no real existence. They taught you that? Neither has a mathematical plane. These things are mere abstractions.' 'That is all right,' said the Psychologist.
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