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Situating "Ethics in Mathematics" as a Philosophy of Mathematics Ethics Education [PDF]

open access: yesEthics and Mathematics Education. Advances in Mathematics Education. Springer, Cham. 2024, 2022
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]

open access: yes, 2021
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 [PDF]

open access: yes, 2002
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
core   +2 more sources

Mathematical Elements of Density Functional Theory [PDF]

open access: yes, 2022
We review some of the basic mathematical results about density functional theory.
arxiv   +1 more source

Random Variables and Product of Probability Spaces [PDF]

open access: yes, 2013
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
core   +2 more sources

Opinion Exchange Dynamics [PDF]

open access: yes, 2017
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
core   +4 more sources

Probability Measure on Discrete Spaces and Algebra of Real-Valued Random Variables [PDF]

open access: yes, 2010
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
core   +1 more source

Probability on Finite Set and Real-Valued Random Variables [PDF]

open access: yes, 2009
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]

open access: yes, 2014
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
core   +2 more sources

The Topology-Free Construction of the Universal Type Structure for Conditional Probability Systems

open access: yes, 2017
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
core   +1 more source

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