Mary Tiles > Quotes

“In this restricted sense continuity may be said to bring a notion of infinity in its wake – the notion of potential infinity which is associated with the idea of a never-ending process, or an operation which is indefinitely repeatable, such as that of adding one to a whole number. But in such cases there is no infinite collection of actual parts of space or time and no actual completed infinite totality of numbers.”
― Mary Tiles, The Philosophy of Set Theory: An Historical Introduction to Cantor's Paradise