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On Symmetry and Conserved Quantities in Classical Mechanics
classical mechanics symmetry conserved quantities
2008/4/22
This paper expounds the relations between continuous symmetries and conserved quantities, i.e. Noether's ``first theorem'', in both the Lagrangian and Hamiltonian frameworks for classical mechanics. T...
This paper expounds the modern theory of symplectic reduction in finite-dimensional Hamiltonian mechanics. This theory generalizes the well-known connection between continuous symmetries and conserved...
On the Property Structure of Realist Collapse of Quantum Mechanics and the So-Called "Counting Anomaly"
counting anomaly properies in quantum mechanics
2008/4/22
The aim of this paper is two-fold. Recently, Lewis has presented an argument, now known as the `counting anomaly', that the spontaneous localization approach to quantum mechanics, suggested by Ghirard...
Classically, a gauge potential was merely a convenient device for generating a corresponding gauge field. Quantum-mechanically, a gauge potential lays claim to independent status as a further feature ...
Consider the hypothesis H that a defendant is guilty (a patient has condition C), and the evidence E that a majority of h out of n independent jurors (diagnostic tests) have voted for H and a minority...
On the Specialness of Special Functions(The Nonrandom Effusions of the Divine Mathematician)
Mathematics Special Functions Idealization Physics
2008/4/22
This paper attempts to address the problem of the applicability of mathematics in physics by considering the (narrower) question of what make the so-called special functions of mathematical physics sp...
On the statistical viewpoint concerning the 2nd law of thermodynamics - OR - A reminder on the Ehrenfests'urm model
Ehrenfest urn model 2nd law of thermodynamics
2008/4/22
In statistical thermodynamics the 2nd law is properly spelled out in terms of conditioned probabilities. As such it makes the statement, that `entropy increases with time' without preferring a time di...
On the True Method of InductionorInvestigative Induction: Real But Invisible
Bacon Induction Puzzle-solving empiricism
2008/4/22
Scientists apply Bacon’s investigative induction by first cataloguing experimental discrepancies among apparent natures of things. Induction begins by multiplying discrepancies, thus creating a puzzle...
On the verge of Umdeutung in Minnesota: Van Vleck and the correspondence principle
Dispersion theory John H. Van Vleck Correspondence Principle
2008/4/22
In October 1924, The Physical Review, a relatively minor journal at the time, published a remarkable two-part paper by John H. Van Vleck, working in virtual isolation at the University of Minnesota. V...
Thought experiments in science are merely picturesque argumentation. I support this view in various ways, including the claim that it follows from the fact that thought experiments can err but can sti...
On Universals: An extensionalist alternative to Quine's resemblance theory
Universals resemblance sparse properties
2008/4/22
The notion of similarity plays a central role in Quine's theory of Universals and it is with the help of this notion that Quine intends to define the concept of kind which also plays a central role in...
Ontic structural realism (OSR) as defended in the philosophy of science literature to date is crucially motivated by premises citing empirical discoveries of fundamental physics. To this extent its po...
The optimality approach to modeling natural selection has been criticized by many biologists and philosophers of biology. For instance, Lewontin (1979) argues that the optimality approach is a shortcu...
Particles vs. Structures: Weak Ontic Structuralism
particles structures ontic structuralism
2008/4/22
In modern physics the notion of structure can be treated as an extension of the notion of law of nature. French and Ladyman’s view concerning the ontological priority of structures over objects is con...
Particles, Objects, and Physics
indistinguishability indiscernibility permutation symmetry
2008/4/22
This thesis analyses the ontological nature of quantum particles. In it I argue that quantum particles, despite their indistinguishability, are objects in much the same way as classical particles. Thi...