New posts in real-numbers

Why can't I use $\sum_{x\in\mathbb{R}} |x|$ instead of Cantor's diagonal?

elementary-set-theory real-numbers

Does $0 < x < 0$ imply $x =0$?

real-analysis logic real-numbers

Why do we consider here the torus as a subset of the complex numbers?

general-topology complex-numbers real-numbers

Is $\sin(e)$ rational or irrational?

real-analysis trigonometry real-numbers transcendental-numbers

Were "real numbers" used before things like Dedekind cuts, Cauchy sequences, etc. appeared?

real-analysis analysis math-history real-numbers

Can you build metric space theory without the real numbers?

soft-question metric-spaces real-numbers

Is there a website like OEIS for real constants?

What is so wrong with thinking of real numbers as infinite decimals?

What makes negative numbers different from positive numbers other than their being (almost) opposite?

How to solve $\lfloor x \rfloor + \lfloor \frac{1}{x} \rfloor = 1$?

real-analysis discrete-mathematics real-numbers ceiling-and-floor-functions

Using Zorn's lemma show that $\mathbb R^+$ is the disjoint union of two sets closed under addition.

abstract-algebra set-theory axiom-of-choice real-numbers

Given any two real numbers $x<y$, there is a rational $q$ with $x<q<y$

real-numbers rational-numbers

Different ways of constructing a partition of an interval

real-analysis integration real-numbers partitions-for-integration

Prove that any real number can be expressed as the sum of two irrational numbers

Confusion about Tao's construction of reals

real-analysis definition real-numbers

What is a natural number? [duplicate]

real-analysis elementary-number-theory real-numbers integers

Is the sum of infinite recurring decimals also a recurring decimal?

real-numbers decimal-expansion

Why does a polynomial with real, simple roots change its sign between its roots?

real-analysis calculus polynomials real-numbers

Are there many fewer rational numbers than reals?

analysis real-numbers