Essays about: "Mattias Granberg Olsson"

Found 3 essays containing the words Mattias Granberg Olsson.

  1. 1. A Model-Theoretic Proof of Gödel's Theorem : Kripke's Notion of Fulfilment

    University essay from Stockholms universitet/Matematiska institutionen

    Author : Mattias Granberg Olsson; [2017]
    Keywords : Fulfilment; Gödel s Theorem; Incompleteness;

    Abstract : The notion of fulfilment of a formula by a sequence of numbers, an approximation of truth due to Kripke, is presented and subsequently formalised in the weak arithmetic theory IΣ1, in some detail. After a number of technical results connecting the formalised notion to the meta-theoretical one a version of Gödel’s Incompleteness Theorem, that no consistent, recursively axiomatisable, Σ2-sound extension T of Peano arithmetic is complete, is shown by construction of a true Π2-sentence and a model of T where it is false, yielding its independence from T. READ MORE

  3. 2. Two Notions of Semantics of the Simple Theory of Types

    University essay from Uppsala universitet/Algebra och geometri

    Author : Mattias Granberg Olsson; [2014]
    Keywords : ;

    Abstract : .... READ MORE

  4. 3. A Syntax of the Simple Theory of Types

    University essay from Algebra och geometri

    Author : Mattias Granberg Olsson; [2013]
    Keywords : ;

    Abstract : .... READ MORE