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You Can't Always Get What You Want:Some considerations regarding conditional probabilities
Conditional probability Borel paradox Eternal Coin
2016/6/14
The standard treatment of conditional probability leaves conditional probability undefined when the conditioning proposition has zero probability. Nonetheless, some find the option of extending the sc...
A Consistent Set of Infinite-Order Probabilities
model higher-order probability infinite regress
2016/6/12
Some philosophers have claimed that it is meaningless or paradoxical to consider the probability of a probability. Others have however argued that second-order probabilities do not pose any particular...
Probabilities in Statistical Mechanics:What are they?
Statistical mechanics thermodynamics probability chance method of arbitrary functions
2016/5/30
This paper addresses the question of how we should regard the probability distributions introduced into statistical mechanics. It will be argued that it is problematic to take them either as purely on...
Entanglement, Upper Probabilities and Decoherence in Quantum Mechanics
Decoherence upper probabilities Bell states
2009/9/16
Computation of decay time for entangled quantum systems is an important aspect of decoherence theories. Here we explore this topic from the standpoint of computing the decay time to the existence of a...
Finitary and Infinitary Mathematics, the Possibility of Possibilities and the Definition of Probabilities.
many-minds quantum theory finitary and infinitary mathematics
2008/4/22
Some relations between physics and finitary and infinitary mathematics are explored in the context of a many-minds interpretation of quantum theory. The analogy between mathematical ``existence'' and ...
In concrete applications of probability, statistical investigation gives us knowledge of some probabilities, but we generally want to know many others that are not directly revealed by our data. For i...
Subjective Probabilities as Basis for Scientific Reasoning?
Scientific Reasoning Subjective Probabilities
2008/4/21
Bayesianism is the position that scientific reasoning is probabilistic and that probabilities are adequately interpreted as an agent’s actual subjective degrees of belief, measured by her betting beha...
A simple indeterministic system is displayed and it is urged that we cannot
responsibly infer inductively over it if we presume that the probability calculus is the appropriate logic of induction. T...
Decision-based Probabilities in the Everett Interpretation: Comments on Wallace and Greaves
Everett probability quantum mechanics many worlds
2008/4/11
It is often objected that the Everett interpretation of QM cannot make adequate sense of quantum probabilities, in one or both of two senses: either it cannot make sense of probability at all, or cann...
About conditional probabilities of events regarding the quantum mechanical measurement process
Heisenberg Principle Measurement process
2008/4/9
We consider the successive measurement of position and momentum of a single particle. Let P be the conditional probability to measure the momentum with precision dk, given a previously successful posi...