Near the place that I live squirrels are vital to the ecosystem. Basically they can't remember the location of all the seed that they buried and forgotten seeds become trees :)
A fellow non-physicist, non-scientist here. If I understand correctly the problem is that if you attempt to change the state of one particle, two particles are no longer entangled. In other words you can observe one particle and be sure that the other particle has the same properties but the moment you decide to change one particle's state you can't say anything about the other particle.
A small monthly fee could mean a lot of money in the developing countries, plus there are countries where most people don't have access to international banking system. Such a system only makes access to information for a lot of people almost impossible.
Math undergrad student here. As another comment has already mentioned we really start learning proofs in Analysis I (the introductory Linear Algebra course in my school wasn't proof heavy) but before that at least in my school we take Intro to math I and Intro to math II, I can't recommend you a book but the topics that are covered are usually basic set theory, rules of logical inference and induction. For Analysis I my prof used baby Rudin however I don't think it's a good book for self study (I'm a bit biased here since I'm really having a hard time with baby Rudin). Two books that are somewhat a more gentle introduction to Analysis are Kenneth A. Ross' Elementary Analysis and Abbott's Understanding Analysis.
Saying a particular sector (AI/Crypto/...) consumes a lost of energy and we should do something about it, is like treating the symptoms and ignoring the root causes. The problem is mostly how we produce energy, not how we consume it. Consuming less energy on a particular sector means people in that sector have more money to spend on other things and those other things also cost energy (ok maybe less). To be clear I'm not saying we should totally ignore how much energy a sector consumes but most of our focus should be on how the energy is produced.