New posts in real-numbers

Convergence of sequence in the limit points of a sequence

real-analysis calculus limits analysis real-numbers

Nowhere continuous functions $f: \mathbb{R} \to \mathbb{R}$ such that $f(f(x)) = (f(x))^2$

real-analysis functions continuity real-numbers

Is there a sense in which $\mathbb{R}$ does have 'holes'?

What is Tarski’s definition of real number multiplication?

real-analysis logic real-numbers ordered-fields second-order-logic

Least upper bound property implies Cauchy completeness

real-analysis real-numbers ordered-fields

A special inequality (related to 2021)

inequality real-numbers

Equivalent definition for an open interval around a point in $\mathbb{R}$

real-analysis real-numbers interval-arithmetic

Every ordered field has a subfield isomorphic to $\mathbb Q$?

real-analysis field-theory ordered-fields real-numbers

Why is that the extended real line $\mathbb{\overline R}$ do not enjoy widespread use as $\mathbb{R}$?

real-analysis general-topology real-numbers

Can we subtract an inequality from the same inequality, and if so, does that mean $0<0$ is a true statement?

algebra-precalculus real-numbers

Are "most" sets in $\mathbb R$ neither open nor closed?

real-analysis general-topology measure-theory real-numbers descriptive-set-theory

There exists a positive real number $u$ such that $u^3 = 3$

real-analysis proof-writing real-numbers

Prove using a proof by contradiction: There is no smallest positive real number

Bijection between an infinite set and its union of a countably infinite set

real-analysis infinity real-numbers

Is there an "algebraic" way to construct the reals?

abstract-algebra real-numbers

Reversing the digits of an infinite decimal

limits real-numbers irrational-numbers rational-numbers

Square root of a product of negative numbers

complex-numbers real-numbers radicals

Is there a direct proof for there is no rational number whose square is 2?

elementary-number-theory real-numbers

Extending the set of complex numbers

complex-numbers real-numbers

Differentiability on $\mathbb{R}^n$ under an equivalence relation.

calculus derivatives continuity real-numbers