Sökning: "Philosophy of mathematics"

Visar resultat 1 - 5 av 27 avhandlingar innehållade orden Philosophy of mathematics.

1. 1. On Axioms and Images in the History of Mathematics

   Författare :Johanna Pejlare; Gunnar Berg; Anders Öberg; Leo Corry; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; HUMANIORA; HUMANITIES; NATURVETENSKAP; NATURAL SCIENCES; Mathematics; History of mathematics; axiomatization; intuition; visualization; images; Euclidean geometry; MATHEMATICS; MATEMATIK; History of mathematics; axiomatization; intuition; visualization; images; Euclidean geometry;

   Sammanfattning : This dissertation deals with aspects of axiomatization, intuition and visualization in the history of mathematics. Particular focus is put on the end of the 19th century, before David Hilbert's (1862–1943) work on the axiomatization of Euclidean geometry. The thesis consists of three papers. LÄS MER

3. 2. Philosophy of Mathematics for the Masses : Extending the scope of the philosophy of mathematics

   Författare :Stefan Buijsman; Peter Pagin; Oystein Linnebo; Stockholms universitet; []
   Nyckelord :HUMANIORA; HUMANITIES; Benacerraf; Epistemology; Semantics; Mathematics; Mathematical practice; filosofi; Philosophy;

   Sammanfattning : One of the important discussions in the philosophy of mathematics, is that centered on Benacerraf’s Dilemma. Benacerraf’s dilemma challenges theorists to provide an epistemology and semantics for mathematics, based on their favourite ontology. LÄS MER

4. 3. Världsmaskinen. Emanuel Swedenborgs naturfilosofi

   Författare :David Dunér; Avdelningen för idé- och lärdomshistoria; []
   Nyckelord :HUMANIORA; HUMANITIES; Christopher Polhem; Charles XII; hydrodynamics; technology; optics; acoustics; mechanics; space; theology; number systems; neurology; iatromechanics; body and soul; infinity; mineralogy; cosmology; matter theory; perception; analogy; metaphors; cognition; 18th century Swedish history; philosophy of science; philosophy of religion; mechanical philosophy; philosophy; geometry; mathematics; history of science; Emanuel Swedenborg 1688–1772 ; natural philosophy; History of philosophy; history of ideas; Filosofins historia; idéhistoria; History of science; Vetenskapshistoria;

   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

5. 4. On Non-Prioritized Multiple Belief Revision

   Författare :Li Zhang; Sven Ove Hansson; John Cantwell; Tor Sandqvist; André Fuhrmann; KTH; []
   Nyckelord :HUMANIORA; HUMANITIES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Non-prioritized multiple revision; Making up one s mind; Choice revision; Descriptor revision; AGM; Believability relation; Multiple believability relation; Belief base; Partial expansion; Multiple contraction; Filosofi; Philosophy; Mathematics; Matematik; Computer Science; Datalogi;

   Sammanfattning : This thesis investigates a sort of non-prioritized multiple revision, the operation of making up one's mind, and its generalization, the operation of choice revision. Making up one's mind about a sentence is a belief change that takes the agent to a belief state in which either the sentence or its negation is believed. LÄS MER

7. 5. Measuring the Power of Arithmetical Theories

   Författare :Jörgen Sjögren; Högskolan i Skövde; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; HUMANIORA; HUMANITIES; Other mathematics; Övrig matematik; Philosophy subjects; Filosofiämnen;

   Sammanfattning : This thesis discusses the possibility to measure the power of extentions of Peano Aritmetic, P A. It consists of three parts, an introduction and two separately written papers. LÄS MER