Thank you for spending the time to reply to my ranty OP!
I think from what I have read here, and elsewhere, I need to ditch Jaxx. I like the interface and features but it has gotten even buggier for me (It wont even show the exchange rates for ShapeShift now). Now I understand how a 'seed' works it begs belief you can't password protect it. I guess I was wooed by being able to have ETH, BTC and ZEC in one place that could synch between my phone and desktop and enable quick and easy use of ShapeShift. I'm going to have to buy some drives and download the blockchains, at least until its worth me transferring to a paper wallet and hiding it under the bed!
Your understanding of HD (Hierarchically Deterministic) wallets and private keys is a bit lacking... an HD wallet, as I explained above, uses a "seed". From this starting point... all your private keys (and matching public keys/addresses) are then calculated.
Every address has it's own matching private key... they are often referred to as a "private key/address pair".
Your wallet is really just a collection of private keys. Most of the HD wallets will automatically generate a new address, when the previous address gets "used" to try and minimise address re-use (what you read about it being a good idea to change wallet addresses etc). So what has happened, is that after the one you selected received some coin from your mining, the wallet automatically switched to the next unused address. If you were to send some coins to that address, the wallet would automatically generate a new private key/address pair and give you a 3rd public key.
So, your "seed" will always stay the same... but each public key/address has it's own private key.
Thank you, these few sentences have made things so much clearer!
It isn't quite that high... it should be more like: 2048 * 2047 * 2046 * 2045 * 2044 * 2043 * 2042 * 2041 * 2040 * 2039 * 2037 * 2038 = 5.27x10
39Most wallets don't repeat words in seeds as far as I know... but there isn't anything stopping that... so Danny's maths here:
https://bitcointalk.org/index.php?topic=1623339.msg16320050#msg16320050 would probably be more accurate.
I didn't consider the re-use of words. 1x10
54 is big.... astronomical you could say, but so is 10
39!
There's some great info here that has helped me a lot. I hope it can help others too.
Thank you.