I have been always noted for the jaunty manner in which I wear my castor—[…]

Cantor defined a one-to-one correspondence between the points of the square and the points of the line segment. Every point in the square was associated with a single point in the segment; every point in the segment was matched with a unique point in the square.

On all these men, on their favour or unfavour depended my future fate, and I was received in the most kind of gentle manner.

A friend, who was specially interested in such studies, having captured a spider, erected a column in a basin filled with water; and placing his spidership on the top of the column, sat down to watch results.