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Axiomatic Testing of Structure Metrics [PDF]

, 1994
Axiomatic testing of software metrics is described, based on axioms from representational measurement theory. In a case study, the axioms are given for the formal relational structure and the empirical relational structure.
Berg, K.G. van den, Broek, P.M. van den
core   +4 more sources

Probability functions in the context of signed involutive meadows [PDF]

, 2016
The Kolmogorov axioms for probability functions are placed in the context of signed meadows. A completeness theorem is stated and proven for the resulting equational theory of probability calculus.
Bergstra, Jan A., Ponse, Alban
core   +3 more sources

Axiom System and Completeness Expression for Quantum Mechanics [PDF]

, 2007
The standard axiomatization of quantum mechanics (QM) is not fully explicit about the role of the time-parameter. Especially, the time reference within the probability algorithm (the Born Rule, BR) is unclear.
Held, Carsten
core   +2 more sources

A note on information theoretic characterizations of physical theories [PDF]

, 2003
Clifton, Bub, and Halvorson [Foundations of Physics 33, 1561 (2003)] have recently argued that quantum theory is characterized by its satisfaction of three information-theoretic axioms.
Halvorson, Hans
core   +6 more sources

Is "the theory of everything'' merely the ultimate ensemble theory? [PDF]

, 1998
We discuss some physical consequences of what might be called ``the ultimate ensemble theory'', where not only worlds corresponding to say different sets of initial data or different physical constants are considered equally real, but also worlds ruled ...
Albrecht, Asgeirsson, Balashov, Barrow, Barrow, Barrow, Barrow, Büchel, Carr, Carter, Chaitin, Coleman, Courant, Curry, Davies, Davies, Davies, Deser, Deutsch, Dorling, Eddington, Ehrenfest, Ehrenfest, Everett III, Feinberg, Freeman, Goodstein, Greenstein, Hawking, Hawking, Hilbert, Hoyle, Linde, Linde, Max Tegmark, Misner, Nielsen, Nielsen, Nozick, Penrose, Poincaré, Press, Robinson, Rucker, Schrödinger, Solomonoff, Tangherlini, Tegmark, Tegmark, Tegmark, Tipler, Vilenkin, Weinberg, Weinberg, Weyl, Wheeler, Wheeler, Whitrow, Wigner, Zeh, Zurek   +60 more
core   +2 more sources

Information and Entropy

, 2007
What is information? Is it physical? We argue that in a Bayesian theory the notion of information must be defined in terms of its effects on the beliefs of rational agents. Information is whatever constrains rational beliefs and therefore it is the force
Adom Giffin, Ariel Caticha, Ariel Caticha, Carlos C. Rodríguez, Julian L. Center, Kevin H. Knuth   +5 more
core   +1 more source

Logical independence and quantum randomness [PDF]

, 2010
We propose a link between logical independence and quantum physics. We demonstrate that quantum systems in the eigenstates of Pauli group operators are capable of encoding mathematical axioms and show that Pauli group quantum measurements are capable of ...
A Zeilinger, Bell J S, Greenberger D, Holevo A S, J Kofler, Kochen S, M Aspelmeyer, Nagel E, Nielsen M A, P Klimek, Paterek T Dakić B Brukner Č, Paterek T Kofler J Prevedel R Klimek P Aspelmeyer M Zeilinger A Brukner Č, Peres A, Pitowski I, R Prevedel, T Paterek, Weinfurter H, Č Brukner   +17 more
core   +1 more source

Relative Entropy and Inductive Inference

, 2003
We discuss how the method of maximum entropy, MaxEnt, can be extended beyond its original scope, as a rule to assign a probability distribution, to a full-fledged method for inductive inference.
Caticha, Ariel
core   +1 more source

Maximum entropy, fluctuations and priors

, 2000
The method of maximum entropy (ME) is extended to address the following problem: Once one accepts that the ME distribution is to be preferred over all others, the question is to what extent are distributions with lower entropy supposed to be ruled out ...
Caticha, Ariel
core   +2 more sources

Probabilities in Economic Modeling [PDF]

Economic modeling assumes, for the most part, that agents are Bayesian, that is, that they entertain probabilistic beliefs, objective or subjective, regarding any event in question.
Andrew Postlewaite, David Schmeidler, Itzhak Gilboa   +2 more
core   +3 more sources