Add to ORKGAbstract. We will generalize the Second Incompleteness Theorem al-most to the level of Robinson’s System Q. We will prove there exists a Π1 sentence V, such that if α is any finite consistent extension of Q+V then α will be unable to prove its Semantic Tableaux consistency
Esta dissertação estabelece a incompletude de um sistema formal cujas únicas constantes não-lógicas ...
In this paper we study proofs of some general forms of the Second Incompleteness Theorem. These form...
Abstract. We investigate the frontline of Gödel’s incompleteness theorems ’ proofs and the links wi...
Full proofs of the Gödel incompleteness theorems are highly intricate affairs. Much of the intricacy...
Abstract. A formalization of Gödel’s incompleteness theorems using the Isabelle proof assistant is d...
In 1931 Gödel released his Incompleteness Theorem. His theorem was the opposite of what other mathem...
This paper explores the relationship borne by the traditional paradoxes of set theory and semantics ...
Beth's method of semantic tableaux has been utilized in first order logic to obtain some results. Fr...
Following F. William Lawvere, we show that many self-referential paradoxes, incompleteness theorems ...
AbstractIn 1981, Paris and Wilkie indicated it was an open question whether IΣ0 would satisfy the Se...
AbstractThis paper will introduce the notion of a naming convention and use this paradigm to both de...
Abstract. We prove that any sound logic for arithmetic must be incomplete. From this it follows that...
In this paper we study proofs of some general forms of the Second Incompleteness Theorem. These form...
Gödel’s two incompleteness theorems [2] are formalised, following a careful presentation by Świerc...
The first incompleteness theorem of Kurt Gödel states that a theory in which we can develop most of ...
Esta dissertação estabelece a incompletude de um sistema formal cujas únicas constantes não-lógicas ...
In this paper we study proofs of some general forms of the Second Incompleteness Theorem. These form...
Abstract. We investigate the frontline of Gödel’s incompleteness theorems ’ proofs and the links wi...
Full proofs of the Gödel incompleteness theorems are highly intricate affairs. Much of the intricacy...
Abstract. A formalization of Gödel’s incompleteness theorems using the Isabelle proof assistant is d...
In 1931 Gödel released his Incompleteness Theorem. His theorem was the opposite of what other mathem...
This paper explores the relationship borne by the traditional paradoxes of set theory and semantics ...
Beth's method of semantic tableaux has been utilized in first order logic to obtain some results. Fr...
Following F. William Lawvere, we show that many self-referential paradoxes, incompleteness theorems ...
AbstractIn 1981, Paris and Wilkie indicated it was an open question whether IΣ0 would satisfy the Se...
AbstractThis paper will introduce the notion of a naming convention and use this paradigm to both de...
Abstract. We prove that any sound logic for arithmetic must be incomplete. From this it follows that...
In this paper we study proofs of some general forms of the Second Incompleteness Theorem. These form...
Gödel’s two incompleteness theorems [2] are formalised, following a careful presentation by Świerc...
The first incompleteness theorem of Kurt Gödel states that a theory in which we can develop most of ...
Esta dissertação estabelece a incompletude de um sistema formal cujas únicas constantes não-lógicas ...
In this paper we study proofs of some general forms of the Second Incompleteness Theorem. These form...
Abstract. We investigate the frontline of Gödel’s incompleteness theorems ’ proofs and the links wi...