Digging gold requires pickaxes. That doesnt mean pickaxes have an influence on the price of gold.
Unless pick axes would be so expensive that it would influence how much gold is being dug up, but there is no such analogy for bitcoin, as no matter the amount miners or their hashrate, the creation rate remains the same. Mining is a zero sum game.
Thats where you are wrong. No matter if I mine alone or 1 billion people mine with 6990s, there is only 50 BTC produced per 10 minutes.
But it doesnt matter how many ppl mine. The creation rate is constant.
Yes,clearly, that doesnt mean it influences the price of bitcoins. Its the opposite, with simple math you can calculate approximately how many miners, or more correctly, how many MH/s there will be for a given BTC value (and a given electricity/hardware cost per MH). In the other direction there is no relationship. None.
Now you confuse mining for the creation of coins and mining to confirm transactions. Can we agree today no one is mining for the transactions fees? Im only talking about mining for those blocks of 50 BTC, and even if no one did that, BTC wouldnt lose its value. THe opposite is true, if BTC loses its value, no one would mine. It is a direct but one directional relationship that I can put in a simple formula.
The whole point you are missing that renders all of your points invalid is because were not talking about 1 miner vs. 1,000,000 miners...it's about 0 miners vs. any # of miners. It addresses each of your points except the first in the following ways:
(The first point you mentioned about pickaxes is irrelevant. There is only one way to produce Bitcoins, and that's cpu/gpu mining. Not only are there multiple ways of getting gold without pick axes, but the gold is already there. There's no 'creation' involved, only gathering. Gold is like oil wells that haven't been drilled yet. That oil has value because it can be recovered and used. Without ANY miners mining Bitcoins, no quantity is produced).
1.) There are no 50 BTC created every 10 minutes if there are 0 miners. (Not an issue of 1 or 1 billion as you suggested).
2.) The creation rate is 0 if there are no miners.
3.) 0 miners ever = 0 BTC = no value..................any # of miners = some # of BTC = value
Miners give RISE to value.