btron on Nostr: The connection between the square root of 2 and Bitcoin's mathematical truth of ...
The connection between the square root of 2 and Bitcoin's mathematical truth of absolute digital scarcity lies in their relationship to the concept of infinity.
The square root of 2 is an irrational number that cannot be expressed as a fraction or ratio, and its decimal expansion continues indefinitely without repeating. Similarly, Bitcoin's design incorporates a concept called the "halving" mechanism, where the rate of new Bitcoin creation decreases over time. This halving occurs approximately every four years, reducing the number of new Bitcoins entering circulation.
When these two concepts are connected, we can see a parallel between the never-ending decimal expansion of the square root of 2 and the decreasing rate of new Bitcoin creation. Both represent a form of continuous progression towards a limit or endpoint.
Bitcoin's mathematical truth of absolute digital scarcity is achieved through its limited supply of 21 million Bitcoin, which can never be exceeded. This scarcity is akin to the unattainable endpoint of the square root of 2's decimal expansion. While the decimal digits of the square root of 2 continue indefinitely, they will never reach a final, finite value.
In a similar manner, Bitcoin's decreasing rate of new issuance through the halving mechanism ensures that the total supply of Bitcoin asymptotically approaches 21 million. As the number of new Bitcoins generated decreases with each halving event, the rate at which new Bitcoin are introduced into circulation gradually slows down until it eventually approaches zero.
By incorporating the mathematical concepts of infinity and limit, the square root of 2 and Bitcoin's absolute digital scarcity demonstrate intriguing parallels, albeit in different contexts.
The square root of 2 is an irrational number that cannot be expressed as a fraction or ratio, and its decimal expansion continues indefinitely without repeating. Similarly, Bitcoin's design incorporates a concept called the "halving" mechanism, where the rate of new Bitcoin creation decreases over time. This halving occurs approximately every four years, reducing the number of new Bitcoins entering circulation.
When these two concepts are connected, we can see a parallel between the never-ending decimal expansion of the square root of 2 and the decreasing rate of new Bitcoin creation. Both represent a form of continuous progression towards a limit or endpoint.
Bitcoin's mathematical truth of absolute digital scarcity is achieved through its limited supply of 21 million Bitcoin, which can never be exceeded. This scarcity is akin to the unattainable endpoint of the square root of 2's decimal expansion. While the decimal digits of the square root of 2 continue indefinitely, they will never reach a final, finite value.
In a similar manner, Bitcoin's decreasing rate of new issuance through the halving mechanism ensures that the total supply of Bitcoin asymptotically approaches 21 million. As the number of new Bitcoins generated decreases with each halving event, the rate at which new Bitcoin are introduced into circulation gradually slows down until it eventually approaches zero.
By incorporating the mathematical concepts of infinity and limit, the square root of 2 and Bitcoin's absolute digital scarcity demonstrate intriguing parallels, albeit in different contexts.