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I am going through Lang's Basic Mathematics. Reading from cover to cover, while he first part seems easy enough, the exercises are a bit difficult.
I shall explain, I know for a fact the rules by heart. So I have no problems performing the exercises that involve numbers. When it comes to "proving", I am quite stunned. Even though I "know" the rules, writing proof of it is another art (or so it seems).
I was never taught this at school, are there any recommendations on how to start proving things? I realize this must be a stupid question, the book itself is by far the best mathematics book I have read. I just want to get into true mathematics more.
I apologize if this was a noob question. Thank you in advance.
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Am I the only one happy about machines taking jobs? Manual labor jobs are the easiest for machines to perform, and are usually done by uneducated people because they don't require much intellectual skill. If machines made human role obsolete, it would have some drawbacks of course like blue collar unemployment, but I think the benefits outweigh the costs in this.
Since the only jobs left are jobs that require human intellect, more people are white collar. This makes education all the more important to society, giving incentive for more and better schools. Also, things would become cheaper for everyone. A machine can always work faster than a human and it doesn't need pay and mandatory breaks and vacations, therefore reducing the expenses of the company and reducing the cost of the product. Like farmers being replaced by machines would increase the production of crops dramatically while lowering the expenses the company would have to pay, making food cheaper for the general public.
Because of the large amount of unemployed manpower from previous blue collar jobs and the new highly educated youth, there would be more doctors, lawyers, scientists, architects, economists, and anything else you can think of that a machine can't do. I think this would be beneficial, for example more doctors would make being operated by a doctor cheaper for the public.
Do you agree with my point of view?
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Why am I me?
Why was I not born a Pterodactyl in the Jurassic Period 200 million years ago?
Why was I not born as a termite in the 15th century in Western Europe?
Why was I not born in another galaxy far away, on another planet capable of supporting conscious life?
Why am I not a jellyfish, RIGHT NOW, in the ocean?
Why am I alive right now? Shouldn't I-statistically speaking-be dead right now? How many lives have come before me? Trillions upon trillions upon trillions (if you take into account all life in the universe). So why right now? I should be long, long, long dead by now.
Why am I a male human being in the United States on Earth in what we call 2016? When I die will this random dream finally be over so I can rest like the trillions of insects that have come before me (and the millions that have died by the time you're done reading this post)?
The Whole Human Knowledge
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Do you ever come to think about of the whole of the human knowledge? The entirety of all the humans have compiled over all our history. It's kinda overwhelming.
Every single piece of information: maths, string theory, classical physics, hydrodynamics, metallurgy, hell, even things like adobe after effects techniques and all that stuff.
How could it be store in one place, how much space would it take? (Digitally or physically)
And also what would happen if, for whatever reason, some of it dissapears, how the humanity could recover form that.