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www.themathdoctors.org
| | intellectualmathematics.com
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| | The discovery of non-Euclidean geometry in the 19th century radically undermined traditional conceptions of the relation between mathematics and the world. Instead of assuming that physical space was the subject matter of geometry, mathematicians elaborated numerous alternative geometries abstractly
| | mycqstate.wordpress.com
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| | This post is a follow-up on some somewhat off-hand comments that I made earlier regarding the notion of truth in a "proof-based" discipline such as pure mathematics or theoretical computer science. Since the former is easier to circumscribe and also has a larger literature available on it, for the purposes of the post I will...
| | mln84.wordpress.com
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| | The most common question students have about mathematics is "when will I ever use this?" Many math teachers would probably struggle to give a coherent answer, beyond being very good at following precise directions. They will say "critical thinking" but not much else concrete. Meanwhile, the same teachers must, with a straight face, tell their...
| | www.preposterousuniverse.com
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| [AI summary] This article is a collection of discussions and perspectives on the nature of consciousness, focusing on whether it is an emergent property of complex systems. It touches on various viewpoints from different contributors, including philosophical, scientific, and even speculative theories. The discussion includes references to the role of quantum mechanics, the relationship between consciousness and the physical world, and the challenges in defining and measuring consciousness. The article also mentions the work of researchers like Sandro Sozzo and others who explore the intersection of consciousness and quantum theory. Additionally, it highlights the importance of interdisciplinary approaches in understanding consciousness, and the ongoing debat...