many-much principle

[AntonioLao]

This is two principles combined into one or two for the price of one or buy one get one free. The many-principle is used for counting. The much-principle is used for measuring. The first can answer the question how many stars are there in the night sky. The second can answer the question how far it is to the moon. Where and when one is counting one is not measuring. Where and when one is measuring one is not counting. The many-principle uses the set of natural numbers {1, 2, 3, 4, 5, 6, 7, 8, …,∞} while the much principle uses both the set of rational numbers and the set of irrational numbers. Both principles give different meanings to the words: zero, empty, and nothing. Studying the many-principle became the branch of mathematics called arithmetic. Studying the much-principle became the branch of mathematics called analysis. Where and when both principles are combined together, it became possible to study the analytic theory of numbers and to answer the question about the distribution of prime numbers. On the contrary, using a sieve of Diophantus, only the many-principle of counting is necessary and relevant in providing proofs for the Goldbach conjecture, the twin primes conjecture, and Erdős conjecture of infinite constant prime differences.

[Lloyd Gillespie]

The first can answer the question how many stars are there in the night sky.

I don't think we've quite got that answer yet, do you really Antonio...?rrr

[AntonioLao]

I think astronomers can provide good estimates of this star counting. On the other hand, I'm still quite mystified about how modern chemists derived Avogadro's number for 1 mole of substance.