Ciro Santilli @cirosantilli 35

This is a good initiative. It doesn't go nearly as deep as it needs to go to fix students must have a flexible choice of what to learn, but it is a start!

I read Human Compatible by Stuart J. Russell (2019). Some AI safety people were actually giving out free copies after a talk, can you believe it! Good book.

One of the causes Ciro Santilli care the most about: motivation.

Ciro Santilli's view of the ideal teaching method: how to teach.

A list of complaints against education: Section "Education is broken".

How to improve education? Simple:

Days of the week where you don't do what you set out to do. And yet, it is in those days that you save your sanity, and possibly the world. Wait, this sounds exactly like a week day?

A unique projective space can be defined for any vector space.

The projective space associated with a given vector space $V$ is denoted $\mathbf{P}(V)$.

The definition is to take the vector space, remove the zero element, and identify all elements that lie on the same line, i.e. $\vec{v}=\lambda \vec{w}$

The most important initial example to study is the real projective plane.

TODO understand and explain definition.

The usual definition of a polynomial is over a field as shown at polynomial over a field.

However, there is nothing in the immediate definition that prevents us from having a ring instead, i.e. a field but without the commutative property and inverse elements.

The only thing is that then we would need to differentiate between different orderings of the terms of multivariate polynomial, e.g. the following would all be potentially different terms:while for a field they would all go into a single term:so when considering a polynomial over a ring we end up with a lot more more possible terms.

If the ring is a commutative ring however, polynomials do look like proper polynomials: Section "Polynomial over a commutative ring".

Currently an informal name for the Standard Model

Chronological outline of the key theories:

Good reading list: Abraham Pais Prize for History of Physics.