Now, I have a pretty simple question to ask , How does Bitcoin benefit from giving us money for solving math problems? Another question is that why does it want us to do it? & is there a bigger purpose behind it???
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1Possible duplicate of Who are you solving algorithms for and why? – Nate Eldredge Feb 23 '18 at 15:52
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Also: What value does mining provide? – Nate Eldredge Feb 23 '18 at 15:53
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I'm voting to close this question as off-topic because too broad. Next to the two links, you may also look at bitcoin.org, and understand the design goals of bitcoin (censorship resistant payment network ...) – pebwindkraft Feb 25 '18 at 08:14
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"Bitcoin" is not a company. Bitcoin is an open-source project and a lot of people are working on it. And an open-source project does not need to get rich. The intention of a big part of that community is more like "changing something".
How does Bitcoin benefit from giving us money for solving math problems?
You did probably not understand that "solving the sha256-algorithm (that's what solving math problems means)" secures the network by preventing double-spends.

hardfork
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