*Rolf Schneider and Wolfgang Weil*

- Published in print:
- 2009
- Published Online:
- February 2010
- ISBN:
- 9780199232574
- eISBN:
- 9780191716393
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199232574.003.0001
- Subject:
- Mathematics, Geometry / Topology

The aim of this chapter is to introduce the basic tools and structures of stochastic geometry and thus to lay the foundations for much of the book. Before this, a brief historic account will reflect ...
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The aim of this chapter is to introduce the basic tools and structures of stochastic geometry and thus to lay the foundations for much of the book. Before this, a brief historic account will reflect the development from elementary geometric probabilities over heuristic principles in applications to the advanced models employed in modern stochastic geometry. After the basic geometric and stochastic concepts have been presented, their interplay will be demonstrated by typical examples.Less

The aim of this chapter is to introduce the basic tools and structures of stochastic geometry and thus to lay the foundations for much of the book. Before this, a brief historic account will reflect the development from elementary geometric probabilities over heuristic principles in applications to the advanced models employed in modern stochastic geometry. After the basic geometric and stochastic concepts have been presented, their interplay will be demonstrated by typical examples.

*Bas C. van Fraassen*

- Published in print:
- 1991
- Published Online:
- November 2003
- ISBN:
- 9780198239802
- eISBN:
- 9780191597466
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0198239807.003.0005
- Subject:
- Philosophy, Philosophy of Science

No common cause model can fit the phenomena that violate Bell's Inequalities; what sorts of probability models could do so? To answer this, we need to broaden our concept of statistical or ...
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No common cause model can fit the phenomena that violate Bell's Inequalities; what sorts of probability models could do so? To answer this, we need to broaden our concept of statistical or probability models, while not broadening it so much as to trivialize it. Introduced here are the distinctions between a surface (phenomenal) model and a theoretical model, and between the general class of geometric probability models and their subclass of quantum theoretical models, together with some elements of quantum logic, and the basic use of probability models to represent measurement situations.Less

No common cause model can fit the phenomena that violate Bell's Inequalities; what sorts of probability models could do so? To answer this, we need to broaden our concept of statistical or probability models, while not broadening it so much as to trivialize it. Introduced here are the distinctions between a surface (phenomenal) model and a theoretical model, and between the general class of geometric probability models and their subclass of quantum theoretical models, together with some elements of quantum logic, and the basic use of probability models to represent measurement situations.