Sökning: "Mattias Granberg Olsson"
Hittade 3 uppsatser innehållade orden Mattias Granberg Olsson.
1. A Model-Theoretic Proof of Gödel's Theorem : Kripke's Notion of Fulfilment
Master-uppsats, Stockholms universitet/Matematiska institutionenSammanfattning : 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. LÄS MER
2. Two Notions of Semantics of the Simple Theory of Types
Magister-uppsats, Uppsala universitet/Algebra och geometriSammanfattning : .... LÄS MER
3. A Syntax of the Simple Theory of Types
Kandidat-uppsats, Algebra och geometriSammanfattning : .... LÄS MER