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Uninstantiatables in Aristotelian Mathematics
Any successful Aristotelian foundations of mathematics needs to account for mathematical objects that are uninstantiated and even uninstantiatable. Examples include (1) positive whole (or “natural”) numbers larger than the number of objects in reality, (2) negative numbers, and (3) infinities. Uninstantiated natural numbers As the Aristotelian sees things, we abstract quantity and structure from reality, →
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Smith’s epistemological argument for hylomorphism
The following quote comes from Wolfgang Smith’s The Quantum Enigma: As Aristotle pointed out long ago, the act of knowing consists in a certain union of the intellect with its object. But how can the intellect be joined to the external thing? Such a union, clearly, can only be conceived in terms of a third →
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On the transitivity of strict preference
The notion of comparing alternatives often comes up in philosophy, particularly when discussing practical reason. There are various names for this (we can talk about the reasons for choosing A over B, or how A is better than B, or how A is more desirable to B, or how A is preferred to B) but →