Mathematics Atlas

How Proof Is Made
Sign In
Text size
100%
Theme

Switch Atlas

Browse By

All Concepts

General mathematical ideas and objects that recur across many branches, or anchor a single branch's basic vocabulary, distinct from a specific theorem, conjecture or named branch. Belongs here: concepts such as Prime Number, Manifold or Algorithm, grouped below by the branch of mathematics each concept belongs to. Does not belong here: a specific proved or open claim about a concept, filed as a theorem or conjecture instead.

All Concepts
Filter Results86 entries

Algebraic Structure

Algebra

Algebraic Variety

Algebraic Geometry and K-Theory

Algorithm

Computation, Optimization and Control

Attractor

Dynamical Systems and Differential Equations

Axiom

Logic, Foundations and Set Theory

Bifurcation Theory

Dynamical Systems and Differential Equations

Bijection

Logic, Foundations and Set Theory

Boolean Algebra

Logic, Foundations and Set Theory

Cantor's Diagonal Argument

Logic, Foundations and Set Theory

Cardinality

Logic, Foundations and Set Theory

Characterization

Logic, Foundations and Set Theory

Classification Theorem

Logic, Foundations and Set Theory

Combination

Combinatorics and Graph Theory

Compact Space

Topology

Complex Number

Analysis

Continuity

Analysis

Countable Set

Logic, Foundations and Set Theory

Derivative

Analysis

Determinant

Algebra

Dynamical System

Dynamical Systems and Differential Equations

e (Euler's Number)

Analysis

Eigenvalues and Eigenvectors

Algebra

Empty Set

Logic, Foundations and Set Theory

Equation

Algebra

Existence Theorem

Logic, Foundations and Set Theory

Field (Abstract Algebra)

Algebra

Fixed Point (Mathematics)

Analysis

Formal System

Logic, Foundations and Set Theory

Fourier Series

Analysis

Fractal

Geometry

Function Composition

Analysis

Functions

Analysis

Geometric Shape

Geometry

Graph (Discrete Mathematics)

Combinatorics and Graph Theory

Graph Coloring

Combinatorics and Graph Theory

Group (Abstract Algebra)

Algebra

Hypergraph

Combinatorics and Graph Theory

i (The Imaginary Unit)

Analysis

Identity

Algebra

Impossibility Theorem

Logic, Foundations and Set Theory

Inequality

Analysis

Infinity

Logic, Foundations and Set Theory

Integral

Analysis

Limit

Analysis

Logarithm

Analysis

Manifold

Geometry

Mathematical Game

Mathematical Physics, Biology and Game Theory

Mathematical Model

Mathematical Physics, Biology and Game Theory

Mathematical Notation

Logic, Foundations and Set Theory

Mathematical Proof

Logic, Foundations and Set Theory

Mathematical Property

Logic, Foundations and Set Theory

Matrix

Algebra

Metric Space

Topology

Modular Arithmetic

Number Theory

Morphism

Algebra

Multiset

Logic, Foundations and Set Theory

Number Systems

Number Theory

Operator (Mathematics)

Analysis

Ordered Pair

Logic, Foundations and Set Theory

Partition of a Set

Combinatorics and Graph Theory

Permutation

Combinatorics and Graph Theory

Phase Space

Dynamical Systems and Differential Equations

Pi

Number Theory

Pigeonhole Principle

Combinatorics and Graph Theory

Polynomial

Algebra

Prime Number

Number Theory

Probability

Probability and Statistics

Probability Distribution

Probability and Statistics

Random Variable

Probability and Statistics

Ring (Abstract Algebra)

Algebra

Scheme (Mathematics)

Algebraic Geometry and K-Theory

Sequence

Analysis

Series

Analysis

Sets

Logic, Foundations and Set Theory

Sheaf (Mathematics)

Algebraic Geometry and K-Theory

Space (Mathematics)

Topology

Sphere Packing

Geometry

Statistic

Probability and Statistics

Surreal Numbers

Combinatorics and Graph Theory

Symmetry

Algebra

Tensor

Algebra

Uniqueness Theorem

Logic, Foundations and Set Theory

Vector Space

Algebra

Well-Ordering Principle

Logic, Foundations and Set Theory

Zero

Number Theory

Zero-Sum Game

Mathematical Physics, Biology and Game Theory
Sources
Wikipedia: Axiom
Wikimedia FoundationContains: Axiom, lead paragraph, opening definition
Quote, Contains: Axiom, lead paragraph, opening definition
An axiom, postulate, or assumption, is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments.
View the Source
Wikipedia: Cantor's Diagonal Argument
Wikimedia FoundationContains: Cantor's Diagonal Argument, lead paragraph, opening definition
Quote, Contains: Cantor's Diagonal Argument, lead paragraph, opening definition
Cantor's diagonal argument (among various similar names) is a mathematical proof that there are infinite sets which cannot be put into one-to-one correspondence with the infinite set of natural numbers
View the Source
Comments (0)
No comments yet. Be the first to share a thought.
Reader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.