Leibniz and Cantor on the actual infinite
| Abstract | I am so in favor of the actual infinite that instead of admitting that Nature abhors it, as is commonly said, I hold that Nature makes frequent use of it everywhere, in order to show more effectively the perfections of its Author. Thus I believe that there is no part of matter which is not, I do not say divisible, but actually divided; and consequently the least particle ought to be considered as a world full of an infinity of different creatures. | |||||||||
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Wes Morriston (2002). Craig on the Actual Infinite. Religious Studies 38 (2):147-166.
Ernest J. Welti (1987). The Philosophy of Strict Finitism. Theoria 2 (2):575-582.
Philip Ehrlich (1982). Negative, Infinite, and Hotter Than Infinite Temperatures. Synthese 50 (2):233 - 277.
A. W. Moore (1997). Taming the Infinite. Foundations of Science 2 (1):53-56.
Eric Sotnak (1999). The Kalam Cosmological Argument and the Possibility of an Actually Infinite Future. Philo 2 (2):41-52.
Ohad Nachtomy (2011). A Tale of Two Thinkers, One Meeting, and Three Degrees of Infinity: Leibniz and Spinoza (1675–8). British Journal for the History of Philosophy 19 (5):935-961.
Jonathan Schaffer (2003). Is There a Fundamental Level? Noûs 37 (3):498–517.
Anne Newstead (2009). Cantor on Infinity in Nature, Number, and the Divine Mind. American Catholic Philosophical Quarterly 83 (4):533-553.
Anne Newstead (2009). Cantor on Infinity in Nature, Number, and the Divine Mind. American Catholic Philosophical Quarterly 83 (4):533-553.
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