University of Toronto St. George Campus - Philosophy
Doctor of Philosophy - PhD
History and Philosophy of Science and Technology
University of Toronto
Bachelor of Arts
Philosophy
University of Toronto
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The Generality of Scientific Models: A Measure-Theoretic Approach
What is it for a scientific theory or model to be \"general?\" Can one model be more or less general than another? And how could we tell? In this paper we attempt to answer these questions using a branch of mathematics called measure theory.\n\nScientific models are often said to be more or less general depending on 'how many' cases they cover
but making this intuitive notion precise has been challenging. In this paper we argue that one prominent notion of generality
the cardinality approach
will not work
and we present a novel account based on measure theory. Our account solves several problems
and also gives insight into assessments of generality. To illustrate our view
we apply the measure-theoretic account to an example from Structural Genomics
a field of study focussed on building three-dimensional models of large biological molecules like proteins.
The Generality of Scientific Models: A Measure-Theoretic Approach
The domain relativity of evolutionary contingency
A key issue in the philosophy of biology is evolutionary contingency
the degree to which evolutionary outcomes could have been different. Contingency is typically contrasted with evolutionary convergence
where different evolutionary pathways result in the same or similar outcomes. Convergences are given as evidence against the hypothesis that evolutionary outcomes are highly contingent. But the best available treatments of contingency do not
when read closely
produce the desired contrast with convergence. Rather
they produce a picture in which any degree of contingency is compatible with any degree of convergence. This is because convergence is the repeated production of a given outcome from different starting points
and contingency has been defined without reference to the size of the space of possible outcomes. In small spaces of possibilities
the production of repeated outcomes is almost assured. This paper presents a definition of contingency which includes this modal dimension in a way that does not reduce it to the binary notion of contingency found in standard modal logic. The result is a conception of contingency which properly contrasts with convergence
given some domain of possibilities and a measure defined over it. We should therefore not ask whether evolution is contingent or convergent simpliciter
but rather about the degree to which it is contingent or convergent in various domains
as measured in various ways.
The domain relativity of evolutionary contingency
PhD in Philosophy of Science
teaching at Trent University.
Cory
Lewis
Trent University
University of Toronto
Institute for the History and Philosophy of Science and Technology
University of Toronto
Trent University
Lecturer
University of Toronto
PhD Candidate
Institute for the History and Philosophy of Science and Technology
University of Toronto