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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… →
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Actualisation of potentiality as such
While we’re on the topic of confusing things Aquinas said, we can talk about his analysis of change, which he in turn gets from Aristotle. We’ve noted before that the first step in analysing change is the realisation that it involves the actualisation of a potential: When a hot cup of coffee gets cold, for example,… →
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Joy and hope
In a previous post, I took joy to be happiness with respect to our ultimate good. We also spoke about two ways in which happiness is achieved: through the acquisition of a good or the continued possession of a good. The Aristotelian inside me was unsatisfied with this, for we usually take happiness to be… →
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Analogy at the foundations of mathematics
Consider the Benacerraf identification problem in philosophy of maths: there are multiple different ways of “defining” natural numbers in terms of sets, so there is no way of determining which definition is the “correct” one. This is not just a problem about natural numbers but they’re a useful notion to introduce the problem with. In fact,… →