Actual versus Potential Infinity (BPhil manuscript.)

Dissertation, University of Oxford (1997)

Anne Newstead
University of Western Sydney, Nepean
Does mathematical practice require the existence of actual infinities, or are potential infinities enough? Contrasting points of view are examined in depth, concentrating on Aristotle’s arguments against actual infinities, Cantor’s attempts to refute Aristotle, and concluding with Zermelo’s assertion of the primacy of potential infinity in mathematics.
Keywords infinity  Aristotle  Cantor  potential versus actual infinite  Zermelo
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