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Hi everybody,

I would like to ask two things:

1)What is the line of real numbers? Is it just a graphical way of representing the set of real numbers?

2)How is the existence of transcendental numbers explained? I mean, if we look at the number line, and thinking of the Dedekind cuts, why only very few of the irrationals are transcendental numbers? Do we know how many transcendental numbers exist? And is there some explanation for their position in the number line?

Thanks

I would like to ask two things:

1)What is the line of real numbers? Is it just a graphical way of representing the set of real numbers?

2)How is the existence of transcendental numbers explained? I mean, if we look at the number line, and thinking of the Dedekind cuts, why only very few of the irrationals are transcendental numbers? Do we know how many transcendental numbers exist? And is there some explanation for their position in the number line?

Thanks

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