Georg Cantor proved that the set of real numbers in the interval [0;1] is not bijective to the set of all natural numbers. He did this through his diagonal argument. (I'm not sure if it was the first or the second.) But I don't understand why there is no bijection just because the list is…
https://www.youtube.com/watch?v=c3Tvoew31aU Is your statement false? (Since there are also negative integers) _ Minute: 00:55 "They are positive numbers, and whole numbers…" she says about the natural numbers. _ The correct answer would be (or would it be?): "They are positive integers…" _
That's the task. If it's wrong, you have to give a counterexample. thank you in advance
I'm currently working on set theory problems. I've already solved a and b, and I think they're correct (?), but I'm confused about c… So, I know that '∖' is the symbol for difference and contains all elements of the first set that aren't in the second. But I don't understand how to simplify "x…
What happens if multiple numbers occur? How would you name the individual numbers before the equal sign? Normally there are two numbers: number 1 (dividend) and number 2 (divisor).
In general, 1), is the non-negative solution also a unique solution? Are there always two solutions? What exactly is the difference? I don't quite understand it.
Why is the symbol the same in rows 3 and 4? I don't understand.
Hello friends, How can it be that, according to Cantor's second diagonal argument, a sequence in the real numbers, which (assumed) contains all elements of the real numbers, does not contain a single real number? Am I misunderstanding the definition of a countable set (and therefore also a sequence)? Can there even be a sequence…
Hi can someone please help me 🙂 I don't understand these characters in this task, like this < sign but in round??? lol
What do you think, are 1000 payments enough or does it have to be 1 million payments?