I lose my credit card, I call the credit card company and get a new card. Something happens to my bitcoin wallet, bye-bye. To a large degree, it's little more than a pyramid scheme. It makes anonymous trades & sales very easy. I suspect for that reason alone, it'll eventually draw plenty of scrutiny & be banned, much the same as those online casinos were shut down.
A currency based on, "I turned my computer on. It ran a program 24/7 for a few weeks. Now, I'm rich!" Give me a break.
You think the money people steal magically gets replaced by the credit card companies from their private money trees? Storing Bitcoin is safe when done right, especially when employing encryption, cold storage, and/or multiple addresses on different machines, versus hacking into someone's bank account or skimming their cards. Credit card fraud, meanwhile, is a huge problem and increasingly large breaches of retailers means tens of millions of numbers are stolen at a time. This might not directly impact the perfect, never-carry-a-balance ATOT ballers, but the credit card companies and banks indirectly pass on the cost to at least some of their customers. Bitcoin has gotten some bad press because of failures like Mt. Gox, but newer, better run businesses are doing security right, and personally securing your own wallet is entirely doable.
If you lose your Bitcoin wallet because of a computer crash or lost hardware, guess what: unless you absolutely didn't care about backup, it's far easier to replace that wallet if you have the paper wallet/private key than a lost credit card. That private key can be stored safely, especially if you leave out some characters that you've memorized or otherwise conceal the key. Takes seconds to replace versus days waiting for a replacement credit or debit card.
Mining is just one way to generate cryptocurrency. There's nothing stupid about it; you don't generate a massive amount of wealth from simply having a computer, it takes a lot of resources and time to mine effectively (excluding those who mined early). In that way it isn't much different from literal mining for gold or precious metals; no one who has actually mined for any significant amount of time expects to get rich overnight, not without the resources or equipment to do so. There are also cryptocurrencies like CureCoin or Gridcoin, which seek to put that computing power to good use.
Bitcoin and cryptocurrency isn't some pyramid scheme. You really must have no idea of the level of interest and development going into cryptocurrency in Silicon Valley and New York. Anyone who undestands how the technology works also realizes how ingenious from a technical perspective Bitcoin is, and even if it isn't the ultimate form of cryptocurrency, the technology isn't going to disappear anytime soon. I would think someone who has an interest in mathematics would at least appreciate the necessity of strong cryptography in the financial sector, not to mention the other kinds of transactions (e.g. contracts, data storage, etc) decentralization and blockchains enable.
There's already a more anonymous payment method than Bitcoin already, and it's widespread: it's called cash. Even if Bitcoin or altcoins like Darkcoin are made completely secure and anonymous, it's not as if the NSA, FBI, or other law enforcement agencies don't already possess tools to investigate criminal organizations or other illegal activities, and for the most part (excluding hacking to some degree) almost all crimes involve some physical aspect that can be tracked, traced, or monitored, besides directly "following the money". Bitcoin is actually
more transparent than our current financial system because of the blockchain, even if you or I can't readily associate each transaction with a specific person individual or organization. The "online casinos" comparison is a bad one because gambling is illegal except when it's run by the state or on reservations, whereas Bitcoin and cryptocurrencies are perfectly legal. Even the
IRS put out guidelines on Bitcoin, so it's clear at this stage that at least the U.S. government considers it as property, if not a true currency.
Have you ever tried funding a PayPal or Google Wallet account from your bank? It takes days. There's no reason why what is ostensibly your money should take that long to move - not in the digital age. They aren't sending that money via horse and carriage, you know. Sending money abroad is also unnecessarily expensive. Banks and other financial services companies charge too much in fees simply because they can and there was no alternative for consumers. Now with Bitcoin and other cryptocurrencies you can send your friend or family member money across the globe in a matter of minutes (or hours, on the higher end) with zero cost (or a miniscule network transaction fee to speed things along), and verify receipt of that payment through the blockchain. How is that not a significant and valuable technology?