4 Answers

  1. There are 0 integers on this segment, a countable set of rational numbers, and an uncountable set of real numbers. That is: if it is a segment of real space, then it is mathematically continuous, if it is a segment of past time, then it is everywhere dense, and if this segment describes physical interactions at a future moment in time, then it is an empty set.

  2. We can say that this is significant in the sense that it allows us to compare the segment from 0 to 1 with the set of all real numbers and conclude that they are equally powerful. Indeed, it is quite simple to establish a one-to – one correspondence between them, for example, like this: y = log((1 – x) / x), where x is a number from the interval (0, 1), and y is any real number. If you want to include the boundaries of the interval, you can extend the corresponding set of real numbers by infinities.

    Here's a fun fact – one set is a subset of another, and their cardinality is the same. The same trick can be performed with a set of natural numbers, removing, for example, all even numbers from there.

  3. If; 10=0.9 is equal in decimal, you can theoretically study both the properties of a black hole and the Big Bang theory, and not create a black hole with a Large collider…

  4. This is another scientific achievement. It can be the pride of the scientific world, proving the limitless possibilities of scientific thought. This is a fundamental knowledge that every person who respects science should know.

    And so no.

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