Here There be Dragons in Sympletic Geometry

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SUMMARY

The forum discussion centers on the article "The Fight to Fix Symplectic Geometry," which highlights foundational issues within the field of symplectic geometry. Participants express that the challenges faced in this mathematical domain parallel those in other scientific disciplines such as physics, psychology, and economics. The conversation emphasizes the subjective nature of mathematical foundations, countering the belief in their intrinsic objectivity. This discourse reveals the ongoing efforts to address and rectify these foundational concerns in symplectic geometry.

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Fascinating piece on the foundations of symplectic geometry. It reminds me a lot of foundational issues in other areas of science - physics, psychology and economics to name a few.

Despite all the purported intrinsic objectivity of what is deemed to be part of the subject matter of mathematics (whatever that may be), this just goes to show how much mathematics actually is like any other human endeavour.
 
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