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The 24 pages that link to Richard Dedekind, each with the reason it gives.

• SetRelated: His treatments of infinite collections helped shape early set-theoretic thinking.

• Set theoryRelated: His treatments of infinite sets and number systems helped prepare the ground for set theory.

• Georg CantorRelated: Dedekind supported Cantor’s work and corresponded with him about set theory.

• Algebraic number theoryRelated: His ideal theory gave number fields a robust replacement for element factorization.

• Algebraic numberRelated: His work on ideals helped establish a systematic arithmetic of algebraic numbers.

• Irrational numberRelated: His construction gives irrational numbers a precise place within the real number system.

• Évariste GaloisRelated: Dedekind advanced the abstract treatment of fields and groups that grew from Galois's ideas.

• Abstract algebraRelated: His ideals provided a powerful way to study factorization within rings.

• Ernst ZermeloRelated: Dedekind’s set-based foundations formed part of the mathematical context for Zermelo’s axiomatic program.

• Ring of integersRelated: His work established the structural theory of rings of integers and ideal factorization.

• Ideal class groupRelated: His ideals replaced Kummer’s ideal numbers with objects inside rings.

• Diagonal argumentRelated: His correspondence with Cantor formed part of the mathematical setting in which diagonal reasoning developed.

• Character theoryRelated: His investigations of group determinants helped motivate Frobenius's character methods.

• Dedekind cutRelated: He introduced cuts as a way to define real numbers from rationals.

• Ernst KummerRelated: Dedekind transformed Kummer’s ideal numbers into the modern theory of ideals.

• Ferdinand Georg FrobeniusRelated: Dedekind’s work on group characters and algebraic structures formed part of Frobenius’s intellectual setting.

• Algebraic integerRelated: He formalized rings of integers and ideals in number fields.

• Peano axiomsRelated: His account of the natural numbers anticipated the structural ideas formalized by Peano.

• Algebraic structureRelated: Dedekind's work advanced structural approaches to ideals, rings, and number systems.

• Axiom of infinityRelated: His characterization of an infinite set as similar to a proper part illuminates what the axiom enables.

• Leopold KroneckerCompared with: Dedekind’s structural approach differed sharply from Kronecker’s preference for arithmetic constructions.

• Peter Gustav Lejeune DirichletRelated: Dedekind’s later work helped systematize Dirichlet’s lectures on number theory.

• Class number formulaRelated: His theory of ideals made class groups precise objects in the formula’s arithmetic side.

• Cantor–Dedekind axiomRelated: His construction of real numbers clarified how numerical continuity can model a line.