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Situating "Ethics in Mathematics" as a Philosophy of Mathematics Ethics Education [PDF]
In this paper, we situate the educational movement of "Ethics in Mathematics," as outlined by the Cambridge University Ethics in Mathematics Project, in the wider area of mathematics ethics education. By focusing on the core message coming out of Ethics in Mathematics, its target group, and educational philosophy, we set it into relation with ...
arxiv +1 more source
INVESTIGATION OF KNOWLEDGE OF MATHEMATICS TEACHERS ABOUT PROBABILITY PROBLEMS [PDF]
The probability subject and problems about this subject can cause some difficulties for teachers as well as for students. In this context, this study aims to investigate the knowledge and opinions of mathematics teachers about the subject of probability.
Artut, Perihan Dinç, Er, Zübeyde
core +2 more sources
Scaled Boolean algebras are a category of mathematical objects that arose from attempts to understand why the conventional rules of probability should hold when probabilities are construed, not as frequencies or proportions or the like, but rather as ...
Hardy, Michael
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Mathematical Elements of Density Functional Theory [PDF]
We review some of the basic mathematical results about density functional theory.
arxiv +1 more source
Random Variables and Product of Probability Spaces [PDF]
We have been working on the formalization of the probability and the randomness. In [15] and [16], we formalized some theorems concerning the real-valued random variables and the product of two probability spaces.
Okazaki, Hiroyuki, Shidama, Yasunari
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Opinion Exchange Dynamics [PDF]
We survey a range of models of opinion exchange. From the introduction: "The exchange of opinions between individuals is a fundamental social interaction...
Mossel, Elchanan, Tamuz, Omer
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Probability Measure on Discrete Spaces and Algebra of Real-Valued Random Variables [PDF]
In this article we continue formalizing probability and randomness started in [13], where we formalized some theorems concerning the probability and real-valued random variables.
Agata Darmochwał+23 more
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Probability on Finite Set and Real-Valued Random Variables [PDF]
In the various branches of science, probability and randomness provide us with useful theoretical frameworks. The Formalized Mathematics has already published some articles concerning the probability: [23], [24], [25], and [30].
Okazaki, Hiroyuki, Shidama, Yasunari
core +2 more sources
Tracing evolutionary links between species [PDF]
The idea that all life on earth traces back to a common beginning dates back at least to Charles Darwin's {\em Origin of Species}. Ever since, biologists have tried to piece together parts of this `tree of life' based on what we can observe today ...
Steel, Mike
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The Topology-Free Construction of the Universal Type Structure for Conditional Probability Systems
We construct the universal type structure for conditional probability systems without any topological assumption, namely a type structure that is terminal, belief-complete, and non-redundant. In particular, in order to obtain the belief-completeness in a
Guarino, Pierfrancesco
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