5 found
Sort by:
  1. Patrick Sibelius (1993). A Major Failure Within Modern Analytic Philosophy. Philosophy of Science 60 (4):558-567.
    The paper claims that analytic philosophy has failed within the philosophy of science due to the way the dynamic aspect of scientific theories is traditionally treated. On the formal side this failure manifests itself in the first-order logical and the model-theoretic analyses of scientific theories. An amendment of the treatment is sketched. It is based on using model generation, of the kind used in proving the Completeness Theorem for first-order logic, in such a way that some dynamic quantities in the (...)
    Direct download (5 more)  
     
    My bibliography  
     
    Export citation  
  2. Patrick Sibelius (1990). Natural Contradictions and the Concept of Action in Mechanics. Distribution, Tidningsbokhandeln.
  3. Patrick Sibelius (1990). Necessary Connexions in Mechanics. Synthese 82 (1):53 - 76.
    Hume's conception of causation and induction is discussed in the context where the causal evolution is represented by the motion of a free particle in space. The difference between classical and relativistic mechanics is shown to be significant for the discussion.
    No categories
    Direct download (5 more)  
     
    My bibliography  
     
    Export citation  
  4. Patrick Sibelius (1990). The Mechanical and the Wave-Theoretical Aspects of Momentum Considering Discrete Action. Foundations of Physics 20 (9):1033-1059.
    The mechanical aspect of momentum, basically its role as a tangent vector of the trajectory of the particle, is related to properties of the momentum found in the contexts of Hamilton's optico-mechanical analogy, de Broglie's matter waves, and quantum mechanics. These properties are treated in a systematic way by considering an approximation of the particle mechanical action of the particle by a step function. A special method of discretizing partial differential equations is shown to be required. Using this method, a (...)
    Direct download (3 more)  
     
    My bibliography  
     
    Export citation  
  5. Patrick Sibelius (1989). An Interpretation Within Philosophy of the Relationship Between Classical Mechanics and Quantum Mechanics. Foundations of Physics 19 (11):1315-1326.
    A mapping of a finite directed graph onto a curve in space-time is considered. The mapping induces the dynamics of a free particle moving along the curve. The distinction between the Lagrangian and the Hamiltonian formulation of particle mechanics is expressed in terms of the distinction between referring to a particle in space and time and referring to the points in space which the particle occupies, respectively. These elements are combined to yield an interpretation of Feynman's path integral formulation of (...)
    Direct download (3 more)  
     
    My bibliography  
     
    Export citation