The general discourse of scientists about science is marred by beliefs of the Ancient Greeks in the kalos kai agathos: that which is beautiful must a… - Matilde Marcolli

Violence, bullying, and intimidation exist and are practiced on a daily basis within the mathematical community, and there is a widespread "culture of cruelty" among its practitioners ...

The physicists' approach to the equivalence of Seiberg-Witten and Donaldson theory is based on Witten's interpretation of Donaldson's theory as a twisted supersymmetric Quantum Field Theory ... and on the concept of electro-magnetic duality.

It turns out that noncommutative geometry is a very good framework for theories of (modified) gravity coupled to matter. The main idea behind gravity and particle physics models based on noncommutative geometry is that "all forces become gravity" on an noncommutative space. In other words, it is only from the point of view of a slice of the geometry consisting of an ordinary spacetime manifold that we see a difference between gravity and the other forces, while from the point of view of the overall (noncommutative) geometry they are all seen together as gravity. As we will see, the main construction is not unlike the idea of "extra dimensions" many people are familiar with from string theory, except for the fact that the extra dimensions in these models are not only small, but also noncommutative, while the extended dimensions of spacetime maintain their commutative nature.