Results

**1 - 2**of**2**### Gödel's Incompleteness Theorems: A Revolutionary View of the Nature of Mathematical Pursuits

"... The work of the mathematician Kurt Gödel changed the face of mathematics forever. His famous incompleteness theorem proved that any formalized system of mathematics would always contain statements that were undecidable, showing that there are certain inherent limitations to the way many mathematicia ..."

Abstract
- Add to MetaCart

The work of the mathematician Kurt Gödel changed the face of mathematics forever. His famous incompleteness theorem proved that any formalized system of mathematics would always contain statements that were undecidable, showing that there are certain inherent limitations to the way many mathematicians studies mathematics. This paper provides a history of the mathematical developments that laid the foundation for Gödel's work, describes the unique method used by Gödel to prove his famous incompleteness theorem, and discusses the farreaching mathematical implications thereof. 2 I.

### The Scope of Gödel’s First Incompleteness Theorem

"... Abstract. Guided by questions of scope, this paper provides an overview of what is known about both the scope and, consequently, the limits of ..."

Abstract
- Add to MetaCart

(Show Context)
Abstract. Guided by questions of scope, this paper provides an overview of what is known about both the scope and, consequently, the limits of