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On the Inherent Incompleteness of Scientific Theories
Scientific Theories Inherent Incompleteness
2008/4/22
We examine the question of whether scientific theories can ever be complete. For two closely related reasons, we will argue that they cannot. The first reason is the inability to determine what are "v...
This paper is about the metaphysical debate whether objects persist over time by the selfsame object existing at different times (nowadays called `endurance' by metaphysicians), or by different tempor...
On the Physical Consistency of the Special Theory of Relativity (STR)
Special Theory of Relativity Lorentz Transformations
2008/4/22
There are well-established facts whose validity is beyond any doubt, such as the fact that 2 + 2 = 4 or the fact that, say, a lamp that can only flash once in its entire lifetime can only flash at a g...
On the problem of emergence of classical space-time: The quantum-mechanical approach
Emergence generalized functions Hilbert space
2008/4/22
The classical space-time structure is derived from the structure of an abstract infinite dimensional separable Hilbert space S. For this S is first realized as a Hilbert space H* of functions of abstr...
Length Matters (I): The Einstein-Swann Correspondence and the Constructive Approach to STR
Principle and constructive theories Einstein Relativity Theories
2008/4/22
In this paper and its sequel I discuss a rarely mentioned correspondence between Einstein and W.F.G. Swann on the constructive approach to the special theory of relativity, in which Einstein points ou...
Non-Empirical Requirements Scientific Theories Must Satisfy: Simplicity, Unification, Explanation, Beauty
Simplicity Unification Eplanation ymmetry
2008/4/22
A scientific theory, in order to be accepted as a part of theoretical scientific knowledge, must satisfy both empirical and non-empirical requirements, the latter having to do with simplicity, unity, ...
Non-locality and gauge freedom in Deutsch and Hayden'sformulation of quantum mechanics
non-locality gauge freedom
2008/4/22
Deutsch and Hayden have proposed an alternative formulation of quantum mechanics which is completely local. We argue that their proposal must be understood as having a form of `gauge freedom' accordin...
This essay is a discussion of the philosophical and foundational issues that arise in non-relativistic quantum theory. After introducing the formalism of the theory, I consider: characterizations of t...
Non-Representationalist Theories of Knowledge and Quantum Mechanics
Quantum Mechanics Non-Representationalist Theories
2008/4/22
Quantum Mechanics has imposed strain on traditional (dualist and representationalist) epistemological conceptions. An alternative was offered by Bohr and Heisenberg, according to whom natural science ...
In my contribution to the Symposium ("On the Vagaries of Determinism and Indeterminism"), I will identify several issues that arise in trying to decide whether Newtonian particle mechanics qualifies a...
On Many-Minds Interpretations of Quantum Theory
quantum theory many minds many worlds Everett
2008/4/22
This paper is a response to some recent discussions of many-minds interpretations in the philosophical literature. After an introduction to the many-minds idea, the complexity of quantum states for ma...
On Mass Problem in Relativistic Mechanics and Gravitational Physics
relativistic mass proper mass gravitational force
2008/4/22
The proper mass of a test particle in General Relativity Theory (GRT) is a rest mass, so it is considered principally constant, just as in Kinematics of Special Relativity Theory (SRT). One may think ...
We introduce the notion of a Minkowskian Branching Structure ("MBS" for short). Then we prove some resultsconcerning the phenomenon of funny business in its finitary and infinitary variants.
On Optimism and Opportunism in Applied Mathematics (Mark Wilson Meets John von Neumann on Mathematical Ontology)
Applied mathematics axiomatic method
2008/4/22
Applied mathematics often operates by way of shakily rationalized expedients that can neither be understood in a deductive-nomological nor in an anti-realist setting. Rather do these complexities, so ...
On Relative Orbital Rotation in Relativity Theory
relative rotation relative motion relativity
2008/4/22
We consider the following question within both Newtonian physics and relativity theory. "Given two point particles X and Y, if Y is rotating relative to X, does it follow that X is rotating relative t...