Are there more real numbers than natural numbers between 0 and 1?

Please give proof.

You should receive five fields medals, for asking this question alone. Even if you happen to be 4004 years old. Voilà. That's my two talents added to this here particular debate.

@KevinWZG said in #1:

Please give proof.
idk but i never see any number less then 1

between 0 and 1 there are more real numbers than natural numbers.
proof:
there are no natural numbers that are between 0 and 1, because 1 is the successor of 0.
0.1 is a real number that is between 0 and 1, so we know that at least 1 real number is between 0 and 1.
the minimum number of real numbers between 0 and 1 is thus 1, which is bigger than 0, which is the number of natural numbers between 0 and 1. qed.

In other words, how low can my bank account go?

Say we theoretically had a bijection of all natural numbers with all numbers between 0 and 1. Now make a new irrational number. Make the first digit different from the first digit of the first number, and the second digit different from the second digit of the second number, and so on to infinity. When we are done, we will have a number that is different from every number in the list, which contradicts the statement that we made a bijection of all the numbers between 0 and 1. So such a bijection could never exist, so there are more numbers between 0 and 1 than natural numbers.

In short: real numbers in any non-degenerate interval need to store infinitely much information. Every natural number, or even any rational number only needs finite information.

Didn't understand any of the answers..

Also I am not sure if your question makes much sense to me begin with.

Your Question:

"Are there more real numbers than natural numbers between 0 and 1?"

Real Numbers are all the numbers(except imaginary numbers).

Real include all the natural numbers between 0 1 and more, so by that logic alone, this should answer your question, that
there are more real numbers than natural numbers between 0 1.

There is just one thing I do not agree with your question with. Natural Numbers can not exist between 0 1, you probably meant to say rational numbers? If you meant rational numbers, the answer is like before. Real > all other sets.

I am not a math wizard, so no clue if my logic is flawed.

Of course
exclusive, there are no natural numbers between 0 and 1.
Real numbers? Infinite. 0.5, pi/4, e/3, and sqrt(2)/2 are all examples.