Abstract
Of these two papers, the second is a briefer but almost certainly later version of the first. The point of view underlying both papers is succinctly expressed by the opening sentence of 1909b:
Anyone wishing to found arithmetic on the theory of natural numbers as the finite cardinal numbers, faces the task, first and foremost, of defining finite set; for cardinal number is by nature a property of sets, and every statement about finite cardinal numbers can always be expressed as one about finite sets.
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Parsons, C. (2010). Zermelo 1909a. In: Ebbinghaus, HD., Fraser, C., Kanamori, A. (eds) Ernst Zermelo - Collected Works/Gesammelte Werke. Schriften der Mathematisch-naturwissenschaftlichen Klasse der Heidelberger Akademie der Wissenschaften, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79384-7_7
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DOI: https://doi.org/10.1007/978-3-540-79384-7_7
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