📜 Theorem, law or theory

Löwenheim–Skolem theorem

Teorema de Löwenheim-Skolem

Date
1915 · confidence high
Place
Berlin, Germany
Credited to
Thoralf Skolem y Leopold Löwenheim
Field
Knowledge & symbols

What was discovered

A mathematical-logic theorem stating that any countable first-order theory with an infinite model has models of every infinite cardinality, formulated by Leopold Löwenheim and generalized by Thoralf Skolem.

What it led to

  • Model theory
  • Skolem's paradox in set theory
  • Foundations of mathematical logic
  • Expressive limits of first-order logic

Links

Sources✓ verified 2026-09-28