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These arguments tie together the problems of pronouncement and mathematical infinities. This is because we can set up the function which takes every whole number to just one even number, and vice versa. When we are asking in this pronouncement the question, Are there any actual infinities?, we want to know whether the particular Totem - Pokies Game in pronouncement world are themselves in any way infinite, have any infinite or unbounded properties, form infinite sets when aggregated. This is because there are no possibilities in them, and hence no possibilities for them changing and then having different characteristics though remaining the same (fully determinate) particular. Before we consider purely actual particulars in more detail, however, it is necessary to decide whether actualities are all finite, or whether they can be infinite. This connection may or may not be a good thing, so I will present the finitist argume
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