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This paper develops some ideas from previous work (coauthored, mostly
with C.J.Isham). In that work, the main proposal is to assign as the
value of a physical quantity in quantum theory (or classica...
Toward a Hermeneutic Categorical Mathematicsorwhy Category theory does not support mathematical structuralism
Category theory Hermeneutics Mathematics
2008/4/21
In this paper I argue that Category theory provides an alternative to Hilbert’s Formal Axiomatic method and doesn't support Mathematical Structuralism.
Trémaux on species: A theory of allopatric speciation (and punctuated equilibrium) before Wagner
species concept species problem punctuated equilibrium
2008/4/21
Pierre Trémaux’s 1865 ideas on speciation have been unjustly derided following his acceptance by Marx and rejection by Engels, and almost nobody has read his ideas in a charitable light. Here we offer...
Twin Paradox and the Logical Foundation of Relativity Theory
twin paradox relativity theory accelerated observers
2008/4/21
We study the foundation of space-time theory in the framework of first-order logic (FOL). Since the foundation of mathematics has been successfully carried through (via set theory) in FOL, it is not e...
Weyl and von Neumann: Symmetry, Group Theory, and Quantum Mechanics
symmetry groups quantum mechanics structural realism
2008/4/18
In this paper, I shall discuss the heuristic role of symmetry in the mathematical formulation of quantum mechanics. I shall first set out the scene in terms of Bas van Fraassen’s elegant presentation ...
Was the Early Calculus an Inconsistent Theory?
calculus fluxions infinitesimals newton leibniz
2008/4/18
The ubiquitous assertion that the early calculus of Newton and Leibniz was an inconsistent theory is examined. Two different objects of a possible inconsistency claim are distinguished: (i) the calcul...
On the logical consistency of special relativity theory and non-Euclidean geometries: Platonism versus formalism
relativistic determinism relativity of simultaneity
2008/4/15
The Lorentz transformations in the theory of special relativity~(SR) lead to a little-investigated phenomenon called relativistic determinism. When two relatively moving inertial observers A and B coi...
On Hamilton-Jacobi Theory as a Classical Root of Quantum Theory
Hamilton-Jacobi theory calculus of variations
2008/4/15
This paper gives a technically elementary treatment of some aspects of Hamilton-Jacobi theory, especially in relation to the calculus of variations. The second half of the paper describes the applicat...
Formal Axiomatic method as exemplified in Hilbert’s Grundlagen der Geometrie is based on a
structuralist vision of mathematics and science according to which theories and objects of these
theories a...
According to the underdetermination thesis, all evidence necessarily underdetermines any scientific theory. Thus it is often argued that our agreement on the content of mature scientific theories must...
Model, Theory, and Evidence in the Discovery of the DNA Structure
DNA structure model-building phenomenologically-driven view
2008/4/15
In this paper I discuss the discovery of the DNA structure by Francis Crick and James Watson, which has provoked a large historical literature but has yet not found entry into philosophical debates. I...
Models as a Tool for Theory Construction: Some Strategies of Preliminary Physics
Strategies of Preliminary Theory Construction
2008/4/15
Theoretical models are an important tool for many aspects of scientific activity. They are used, i.a., to structure data, to apply theories or even to construct new theories. But what exactly is a mod...
Modeling Partially Reliable Information Sources: a General Approach based on Dempster-Shafer Theory
Dempster-Shafer Theory Probabilistic Argumentation
2008/4/15
Combining testimonial reports from independent and partially reliable information sources is an important problem of uncertain reasoning. Within the framework of Dempster-Shafer theory, we propose a g...
Material Theory of Induction and Scientific Realism
Scientific realism Material induction Norton
2008/4/15
John Norton has advanced a general view of induction---`Material Theory of Induction'---that renders ampliative reasoning in a deep sense local. This paper is a sympathetic appraisal of this view, app...
Lorentz's theory and special relativity are completely identical
Lorentz's theory special relativity
2008/4/15
Withdrawn by the author! The main content of this paper has been moved into "Szabó, László E., Does special relativity theory tell us anything new about space and time?