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Crowdsourced funding would have to be in very large amounts to do anything to help the macro-situation there in Greece, if by "crowdsourcing" one means "donations". Even though Greece's economy is small by European standards, it will take billions of euros/US$ to stabilize the country. Generous donations on that scale are not going to happen.
Smaller-scale crowdsourcing could aid families, "sister cities" and the like I suppose. And that would be doing good for some small number of people with financial problems there.
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I do not know Greece well enough to assess the probabilities that they might seriously use crypto-currency. My GUESS would be no, their .gov has traditionally been very interventionist and corrupt, that is a major reason why Syriza just won. Same guess re Greece changing its economy over to some high-tech friendly environment. WHO would believe the promises of a Greek government not to interfere nor heavily tax any such business?
Even were they to take up their own crypto (or even Bitcoin itself), for Greece to receive such funds from outside, they would have to, in essence, export something of value (or sell Aegean islands to Germans and/or Russians)... One of Greece's big problems now is that they do not produce much that the rest of the world would want to pay for.
Russia or China might pay for military basing rights...
The only reason I think something of that scale could work is because should the euro bail on them, they don't have ANYTHING for decades basically.. Natural market forces will fix greece and bitcoin is the single free market left, one of they keys to greece is to default on 50-80% of their debt and cut the EU as a source of financing. and with a slight chance we live in new and strange times if the people came to help the people there is glimmer of hope for greece, but it is going to come from the people helping the people, not the banking system.
This who greece insolvency has the real ability to destroy the banking system at most, and at the least turn the entire banking system into a giant Citibank(basically a zombie bank rendering its powers basically useless in the monstrosities that the markets are.