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You guys miss the point..... Bitcoin is commonly sold and the price is quoted in units of 1BTC, gold is commonly sold and the price is quoted in units of troy ounces.
In that case, I'm 100% against switching to bits or Satoshi -- Bitcoin would suddenly become much more common. If units like BTC and Satoshi exist side-by-side like they do today, Bitcoin remains a paradox -- Incredibly rare and incredibly common at the same time.
How rare is one bitcoin compared to one troy ounce of gold? Please do tell me the proper method for coming up with an answer to that question. I would love to see if you come up with something different than what I did.
You determine the amount of radiation in the number "5," multiply that by obesity, and factor out love. Seems obvious.
Also, I am attempting to establish rarity based on the total existence of something.
Lets say for example you are locked in a room... outside the room nothing exists, the only thing that exists is what is inside the room... follow me? good...
Now lets say in this room you have 100 oranges and 10 apples. How much more rare are apples than oranges? Apples are ten times rarer than oranges right? Does it matter that you can cut an apple into pieces? Does it matter that you can stack 100 oranges into a crate? no... there are 10 times more oranges in existence than apples.
The problem with this analogy is you're comparing numbers to numbers -- countable apples to countable oranges. This is handy if you hand them out to kids, but becomes irrelevant if you do other stuff, like sell them by weight or make jam. Then you no longer care about count and start worrying about weight. If the apples in the room are huge, and oranges puny, then apples suddenly become more common.
I'm comparing quantities in existence, doesn't matter if gold and bitcoin can be combined or melted down, I'm talking one troy ounce of gold, how many exist on the planet, and one bitcoin on the bitcoin network how many exist on this planet.
Then what you established is the ratio of arbitrary units, the number of BTC vs. oz. of gold. Since both units are arbitrary, this relationship has rather limited usefulness.
All you logic geniuses please show me the proper way to establish a baseline of how rare one bitcoin is to one troy ounce of gold if you think I'm so wrong.
Not all well-formed formulas have solutions, but that's not relevant here. You start with a formula that is not well-formed, and you demand an answer.
How many 6 yellow is with forty-five then inside?