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Jacob McNulty has an article at IAI arguing that the foundations of logic can only be found in metaphysics. (Warning: possible paywall. Alternate link.). He describes a problem called “the logocentric predicament," that any attempt to justify logic with logic ends up being circular, risking an infinite regress. He notes that the most common response … Continue reading What justifies logic?
On occasion, I've been accused of being closed-minded. (Shocking, I know.) Frequently the reason is not seriously considering non-physical propositions, a perception of rigid physicalism. However, as I've noted before, I'm actually not entirely comfortable with the "physicalist" label (or "materialist", or other synonyms or near synonyms). While it's fairly accurate as to my working … Continue reading Platonism and the non-physical
Click through to see the full version. Be sure not to miss the popup bubble on the second page. via The Sighting - Existential Comics.
James Franklin has an interesting piece today at Aeon, asking what exactly mathematics is. He looks at Nominalism and Platonism, but discounts both in favor of Aristotelian Realism, which is something I'd not heard of before but seems equivalent to the idea that mathematics is empirical. What is mathematics about? We know what biology is about; … Continue reading What is mathematics about? – James Franklin – Aeon
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