@prefix owl: . owl:sameAs . @prefix foaf: . foaf:page . @prefix dbpprop: . dbpprop:reference . @prefix rdfs: . rdfs:label "Proof sketch for G\u00F6del's first incompleteness theorem"@en ; dbpprop:abstract "This article gives a sketch of a proof of G\u00F6del's first incompleteness theorem. This theorem applies to any formal theory that satisfies certain technical hypotheses which are discussed as needed during the sketch. We will assume for the remainder of the article that a fixed theory satisfying these hypotheses has been selected. Throughout this article the word \"number\" refers to a natural number. The key property these numbers possess is that any natural number can be obtained by starting with the number 0 and adding 1 a finite number of times."@en ; rdfs:comment "This article gives a sketch of a proof of G\u00F6del's first incompleteness theorem. This theorem applies to any formal theory that satisfies certain technical hypotheses which are discussed as needed during the sketch. We will assume for the remainder of the article that a fixed theory satisfying these hypotheses has been selected. Throughout this article the word \"number\" refers to a natural number."@en . @prefix skos: . @prefix ns5: . skos:subject ns5:Proofs , ns5:Mathematical_logic ; dbpprop:hasPhotoCollection ; dbpprop:redirect , .