"When Cantor finally decided that the transfinite cardinals required a separate notation of their own, he felt that all the usual alphabets, the familiar Greek or Roman letters, were too widely used for other purposes both specific and general. ... Not wishing to invent a new symbol himself, he chose the aleph, the first letter of the Hebrew alphabet. The choice was especially clever, as he was happy to admit, since the Hebrew aleph served simultaneously to represent the number one, and the transfinite numbers, as cardinal numbers, were themselves infinite unities. In addition, it might be said that as the first letter of the Hebrew alphabet, the aleph could be taken to represent new beginnings, and he certainly believed that his theory of transfinite numbers represented a new beginning for mathematics."
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Joseph Warren Dauben: Georg Cantor: His Mathematics and Philosophy of the Infinite, ch. 8, "The Beiträge, Part I: The Study of Simply-Ordered Sets", p. 179
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