Share this entry

Share this page

incompleteness theorem

Saltos de línea: in|com¦plete|ness the|orem
(also Gödel's incompleteness theorem)

Definición de incompleteness theorem en inglés:

sustantivo

Logic
The theorem that in any sufficiently powerful, logically consistent formulation of logic or mathematics there must be true formulas which are neither provable nor disprovable. The theorem entails the corollary that the consistency of a logical system cannot be proved within that system.
Example sentences
  • The incompleteness theorem thus raises doubts about any philosophy of mathematics (formalist or otherwise) that requires a single deductive system for all of arithmetic - a single formal method for deriving every arithmetic truth.
  • Gödel's incompleteness theorem tells us that within mathematics there are statements that are unknowable, or undecidable.
  • The fallout, however, from this mathematical bomb was even more perilous than that from the incompleteness theorem.

Definición de incompleteness theorem en:

Share this entry

Share this page

 

¿Qué te llama la atención de esta palabra o frase?

Comments that don't adhere to our Community Guidelines may be moderated or removed.

Obtenga más de Oxford Dictionaries

Suscribirse para eliminar anuncios y acceder a los recursos premium

Palabra del día peart
Pronunciación: pɪət
adjective
lively; cheerful