Dear all,

Please join us at the CamPoS (Cambridge Philosophy of Science) seminar this 
Wednesday, 15th May, 1-2:30pm in HPS Seminar Room 2. Donald Gillies (UCL) 
will give a talk entitled 'Two Views on the Relation between Causality and 
Probability'. The abstract is below.

All welcome.

Best wishes,
Vashka

--

The relation between causality and probability is a very complicated matter 
whose discussion has generated many paradoxes and controversies. In short 
it is a philosophical minefield. In this paper, I will concentrate on only 
one aspect of the problem, namely the debates about the Markov, or 
Screening-Off, Condition. Reichenbach in 1956 proposed a causal model 
called a conjunctive fork, which satisfied the Markov condition, but later 
Salmon produced a causal model, called an interactive fork, which did not 
satisfy this condition. In the 1980's the theory of causal networks was 
developed in a striking fashion by Pearl and others. Pearl specified that 
every node in what he called a 'Bayesian network' had to satisfy the Markov 
condition. Yet the Markov condition was criticized in the 1990s by 
Cartwright, who maintained that the Markov condition is "a very special 
case that holds in unusual circumstances." In this paper, I will analyse 
this controversy between Pearl and Cartwright, and then go on to consider 
the multi-causal forks, which have become common in modern medicine. I will 
argue that such forks are best handled by a non-Markovian causal model. The 
paper is designed for anyone with general interests in philosophy of 
science rather than for specialists in causal modelling. So technical terms 
such as conjunctive fork, interactive fork, Markov condition, Bayesian 
network, multi-causal fork, etc. will be fully explained in the course of 
paper and illustrated by examples.


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