questfortruth
Well-Known Member
The Set Theory of Cantor
Cardinality - Wikipedia
says: the cardinality of the infinite amount of real numbers between 0 and 4 is more than the cardinality of all natural numbers 1,2,3,4,5,...., infinity.
However, if we say: "amount of numbers between 0 and 4", then we are using discrete language, not the continuous one.
That means that we assign each number from the gap 0..4 the ordering number, for example, 1.23456= 34, 2.678= 56, Pi = 45.
Therefore, the cardinality of the sets is the same: we can list all real numbers from 0..4 using natural integers.
https://www.researchgate.net/publication/358173832_Set_Theory_of_Cantor_and_Logic
Cardinality - Wikipedia
says: the cardinality of the infinite amount of real numbers between 0 and 4 is more than the cardinality of all natural numbers 1,2,3,4,5,...., infinity.
However, if we say: "amount of numbers between 0 and 4", then we are using discrete language, not the continuous one.
That means that we assign each number from the gap 0..4 the ordering number, for example, 1.23456= 34, 2.678= 56, Pi = 45.
Therefore, the cardinality of the sets is the same: we can list all real numbers from 0..4 using natural integers.
https://www.researchgate.net/publication/358173832_Set_Theory_of_Cantor_and_Logic