arachnids
Joined 10 years ago
Joined 10 years ago
1. Suppose the list of primes is finite, and that they are P_1, P_2, P_3 .., P_n
2. Consider the new number P_1 * P_2 * P_3 * .. * P_n + 1. None of the P_is divide this number. Therefore, by definition, it it is a prime.
3. The number we found in (2) is not any of the P_is, and it is a prime. This contradicts the assumption we made in (1). So, the assumption in (1) is wrong, there must be infinitely many primes
The examples in parent's post do not work because they do not follow the framework of this proof. I see parent's point that the claim in the article isn't technically correct, but I think it's reasonable to allow some handwaving in an accessible article written in English :-)
Companies that don't think this is an advantage should do what you're recommending, but the ones that do will continue to hire here, while also hiring in other markets. I don't know which group is more correct (it's pretty hard to make any authoritative claims about these things), but that does explain why there isn't a mass exodus from SF to ATL.
A point to note here is that labor markets vary not just by location, but also by what the job is. Many companies in the Bay Area do outsource some parts of their internal IT or Business Intel functions to Accenture and co, for example. What they're doing is exactly that - they're leaving this expensive market because they don't believe the benefits are worth the markup for those specific roles
The price a company is going to pay for your labor depends on how hard it is for them to replace you. If FB can replace a SWE in Atlanta with another for 90k$, that is what they will pay. It has nothing to do with the value of the work you're doing.
A broader economic crisis offers good cover for such an action. If everyone is laying employees off, it's not as bad if you do it too.
You give them a lot of data about you that they then use to sell you insurance and loans and so on, but I actually find their services useful so I consider that a fair trade.
Many, many people cannot afford to lose their jobs because they live paycheck to paycheck. Funny how they're never called slaves or referred to as having owners.