Sökning: "Models of arithmetic"
Visar resultat 1 - 5 av 26 avhandlingar innehållade orden Models of arithmetic.
1. Världsmaskinen. Emanuel Swedenborgs naturfilosofi
Sammanfattning : The Swedish natural philosopher Emanuel Swedenborg (1688–1772) thought in his early scientific career that the world was like a gigantic machine, following the laws of mechanics and geometry. The work presented here is a study of his mechanistic worldview and metaphorical way of thinking up to the year 1734, examining most of his fields of interest, from geometry and metaphysics to technology and mining engineering. LÄS MER
2. Satisfaction classes in nonstandard models of first-order arithmetic
Sammanfattning : .... LÄS MER
3. Contributions to the Metamathematics of Arithmetic: Fixed Points, Independence, and Flexibility
Sammanfattning : This thesis concerns the incompleteness phenomenon of first-order arithmetic: no consistent, r.e. theory T can prove every true arithmetical sentence. The first incompleteness result is due to Gödel; classic generalisations are due to Rosser, Feferman, Mostowski, and Kripke. LÄS MER
4. Tidig aritmetisk kunskapsbildning : Ett radikalkonstruktivistiskt perspektiv
Sammanfattning : From a Radical Constructivist (RC) perspective this thesis deals with children’s construction of early arithmetic learning as an evolving process through the cognitive system of self-regulation and self-organising. Thus the child’s learning must guide teaching. RC views early arithmetic as verbal and preceding the system of written arithmetic. LÄS MER
5. Cognitive strategies in simple addition and subtraction : Process models based on analyses of response latencies and retrospective verbal reports
Sammanfattning : The purpose of this thesis is to explore cognitive processes used by children and adults when solving simple arithmetic problems, and to develop process models for describing these processes. The studies in the thesis were based mainly on analyses of response latencies and retrospective verbal reports, separately and in combination. LÄS MER