There are two types of people in this world. Avoid both.

Educational
Learning resources for teachers and students

And once the storm is over, you won’t remember how you made it through, how you managed to survive. You won’t even be sure, whether the storm is really over. But one thing is certain. When you come out of the storm, you won’t be the same person who walked in. That’s what this storm’s all about.

The public knows that human beings are fallible. Only people blinded by ideology fall into the trap of believing in their own infallibility

The number of all the atoms that compose the world is immense but finite, and as such only capable of a finite (though also immense) number of permutations. In an infinite stretch of time, the number of possible permutations must be run through, and the universe has to repeat itself. Once again you will be born from a belly, once again your skeleton will grow, once again this same page will reach your identical hands, once again you will follow the course of all the hours of your life until that of your incredible death.

**André Weil** and **G. H. Hardy** views on mathematical beauty.

A mathematician, like a painter or a poet, is a maker of patterns,” he wrote. “If his patterns are more permanent than theirs, it is because they are made with ideas.” Hardy went on to characterize what makes a mathematical idea worthy: a certain generality, a certain depth, unexpectedness combined with inevitability and economy.

See Hardy’s essay

A Mathematician’s Apology(wiki,Amazon)

Pure mathematics is just such an abstraction from the real world, and pure mathematics does have a special precise language for dealing with its own special and technical subjects. But this precise language is not precise in any sense if you deal with real objects of the world, and it is only pedantic and quite confusing to use it unless there are some special subtleties which have to be carefully distinguished.

Exciting ***** moments in physics last 5 years (in order of discovery):

* Higgs particle

* Gravitational waves, including colliding black holes and neutron stars – might be 6 star 😉

* The M87 black hole image for sure!

All of them took a long time from idea -> experiment (50 and 100 years respectively)

In science in general:

* CRISPR-Cas genetic editing

* AI and deep learning, solving Go, Chess, and protein folding.

* Quantum technology: quantum computers, quantum internet etc.

Conclusion: it’s a golden era for science