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What it is that we do | MyCQstate
| | intellectualmathematics.com
"Repugnant to the nature of a straight line": Non-Euclidean geometry - Intellectual Mathematics
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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
| | www.quantamagazine.org
Why Mathematical Proof Is a Social Compact | Quanta Magazine
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| | Number theorist Andrew Granville on what mathematics really is - and why objectivity is never quite within reach.
| | jdh.hamkins.org
Lectures on the Philosophy of Mathematics, Oxford, Michaelmas 2018 | Joel David Hamkins
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| | This will be a series of lectures on the philosophy of mathematics, given at Oxford University, Michaelmas term 2018. The lectures are mainly intended for undergraduate students preparing for exam ...
| | www.jeremykun.com
The Fundamental Theorem of Algebra (with Liouville) | Math Programming
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| This proof assumes knowledge of complex analysis, specifically the notions of analytic functions and Liouville's Theorem (which we will state below). The fundamental theorem of algebra has quite a few number of proofs (enough to fill a book!). In fact, it seems a new tool in mathematics can prove its worth by being able to prove the fundamental theorem in a different way. This series of proofs of the fundamental theorem also highlights how in mathematics there are many many ways to prove a single theorem...