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Models and Fiction     model  fiction  Walton  make-believe       2008/4/15
Most scientific models are not physical objects, and this raises important questions. What sort of entity are models, what is truth in a model, and how do we learn about models? In this paper I argue ...
It is shown that the matrix models which give non-perturbative definitions of string and M theory may be interpreted as non-local hidden variables theories in which the quantum observables are the e...
Some philosophers of mathematics argue that the role of mathematical models in science is merely representational: when scientists use mathematical models they only believe that they are adequate repr...
Kinds of Models     Model  representation  analogy  inductive inference       2008/4/15
I survey a broad variety of models with an eye to asking what kind of model each is in the following sense: in virtue of what is each of them regarded as a model? It will be seen that when we classify...
Hitherto, there have been two approaches towards models in the philosophy of science. One could be called “formalistic” and the other one “methodological”. The first coincides with the so-called seman...
Financial theory is in trouble. Market crashes and high volatility are only too familiar to everyone, although the standard theories predict that they hardly ever occur. According to the well-known an...
The "dynamical systems" model of cognitive processing is not an alternative computational model. The proposals about "computation" that accompany it are either vacuous or do not distinguish it from...
Simulations may manage to control complex phenomena while at the same time the models invoked remain epistemically opaque. Considering cases from astronomy and meteorology, it will be argued that simu...
This paper is part II of a trilogy on the transition from classical particle mechanics to relativistic continuum mechanics that one of the authors is working on. The first part, on the Trouton experim...
The Hamiltonian structure of General Relativity (GR), for both metric and tetrad gravity in a definite continuous family of space-times, is fully exploited in order to show that: i) the "Hole Argumen...
We continue in this article the algebraic treatment of quantum sentential logics (Wilczek 2006). Notions borrowed from the field of Model Theory and Abstract Algebraic Logic (i.e., consequence relatio...
Classical nonlocal field models consisting of probability density functionals over functions defined everywhere on Minkowski space are constructed directly from a quantum field state, using functional...
This paper examines some counterexamples to Judea Pearl's theory of token-causation within his structural equations framework. It argues that it is possible to modify the theory in natural ways to ove...
I extract some philosophical morals from some aspects of Lagrangian mechanics. (A companion paper will present similar morals from Hamiltonian mechanics and Hamilton-Jacobi theory.) One main moral con...
These are chapters from a book forthcoming from MIT Press. Comments to the author at cg09@andrew.cmu.edu would be most welcome. Still time for changes.

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