Are deterministic descriptions and indeterministic descriptions observationally equivalent

@article{Werndl2009AreDD,
  title={Are deterministic descriptions and indeterministic descriptions observationally equivalent},
  author={Charlotte Werndl},
  journal={Studies in History and Philosophy of Modern Physics},
  year={2009},
  volume={40},
  pages={232-242}
}
  • C. Werndl
  • Published 2009
  • Computer Science, Mathematics, Physics
  • Studies in History and Philosophy of Modern Physics
The central question of this paper is: are deterministic and indeterministic descriptions observationally equivalent in the sense that they give the same predictions? I tackle this question for measure-theoretic deterministic systems and stochastic processes, both of which are ubiquitous in science. I first show that for many measure-theoretic deterministic systems there is a stochastic process which is observationally equivalent to the deterministic system. Conversely, I show that for all… Expand
On the observational equivalence of continuous-time deterministic and indeterministic descriptions
This paper presents and philosophically assesses three types of results on the observational equivalence of continuous-time measure-theoretic deterministic and indeterministic descriptions. The firstExpand
Evidence for the Deterministic or the Indeterministic Description? A Critique of the Literature About Classical Dynamical Systems
It can be shown that certain kinds of classical deterministic and indeterministic descriptions are observationally equivalent. Then the question arises: which description is preferable relative toExpand
Observational Equivalence of Deterministic and Indeterministic Descriptions and the Role of Different Observations
Recently some results have been presented which show that certain kinds of deterministic descriptions and indeterministic descriptions are observationally equivalent (Werndl 2009a, 2011). TheseExpand
On choosing between deterministic and indeterministic models: underdetermination and indirect evidence
  • C. Werndl
  • Mathematics, Computer Science
  • Synthese
  • 2011
TLDR
This paper first distinguishes between different kinds of choice and clarifies the possible resulting types of underdetermination, and criticises the extant philosophical answers in relation to the preferable model. Expand
DETERMINISTIC VERSUS INDETERMINISTIC DESCRIPTIONS: NOT THAT DIFFERENT AFTER ALL?
The guiding question of this paper is: how similar are deterministic descriptions and indeterministic descriptions from a predictive viewpoint? The deterministic and indeterministic descriptions ofExpand
Can the world be shown to be indeterministic after all
This essay considers and evaluates recent results and arguments from classical chaotic systems theory and non-relativistic quantum mechanics that pertain to the question of whether our world isExpand
Physics without determinism: Alternative interpretations of classical physics
Classical physics is generally regarded as deterministic, as opposed to quantum mechanics that is considered the first theory to have introduced genuine indeterminism into physics. We challenge thisExpand
Indeterministic finite-precision physics and intuitionistic mathematics
In recent publications in physics and mathematics, concerns have been raised about the use of real numbers to describe quantities in physics, and in particular about the usual assumption thatExpand
Determinism and Indeterminism
This article focuses on three themes concerning determinism and indeterminism. The first theme is observational equivalence between deterministic and indeterministic models. Here I discuss severalExpand
Dynamic and stochastic systems as a framework for metaphysics and the philosophy of science
Scientists often think of the world (or some part of it) as a dynamical system, a stochastic process, or a generalization of such a system. Prominent examples of systems are (i) the system of planetsExpand
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 38 REFERENCES
DETERMINISTIC VERSUS INDETERMINISTIC DESCRIPTIONS: NOT THAT DIFFERENT AFTER ALL?
The guiding question of this paper is: how similar are deterministic descriptions and indeterministic descriptions from a predictive viewpoint? The deterministic and indeterministic descriptions ofExpand
The ergodic hierarchy, randomness and Hamiltonian chaos ☆
TLDR
It is argued that EH is best understood as a hierarchy of random behaviour if randomness is explicated in terms of unpredictability, and it is shown that it is useful in characterising the behaviour of Hamiltonian dynamical systems. Expand
The Transcendental Character of Determinism
DETERMINISM in philosophical discussions of determinism I believe it is fair to say that there is not ordinarily a sharp separation of a process being deterministic and a process being predictable.Expand
What Are the New Implications of Chaos for Unpredictability?
  • C. Werndl
  • Mathematics, Physics
  • The British Journal for the Philosophy of Science
  • 2009
From the beginning of chaos research until today, the unpredictability of chaos has been a central theme. It is widely believed and claimed by philosophers, mathematicians and physicists alike thatExpand
The Noninvariance Of Deterministic Causal Models
  • P. Suppes
  • Mathematics, Computer Science
  • Synthese
  • 2004
TLDR
The reader who is interested in under standing the general idea of the noninvariance claim I am making about deterministic causal models should be able to get the gist of the argument entirely from what is said in this introductory section. Expand
Ergodic Theory, Randomness, and "Chaos"
TLDR
It can be shown that at some level of abstraction a large number of systems governed by Newton's laws are the same as the baker's transformation and gives a statistical analog of structural stability. Expand
What is ergodic theory
Ergodic theory involves the study of transformations on measure spaces. Interchanging the words “measurable function” and “probability density function” translates many results from real analysis toExpand
Ergodic theory of chaos and strange attractors
Physical and numerical experiments show that deterministic noise, or chaos, is ubiquitous. While a good understanding of the onset of chaos has been achieved, using as a mathematical tool theExpand
Almost every real quadratic map is either regular or stochastic
In this paper we complete a program to study measurable dynamics in the real quadratic family. Our goal was to prove that almost any real quadratic map Pc : z t- x2 + c, c c [-2,1/4], has either anExpand
In General a Measure Preserving Transformation is Mixing
In this note I continue the study of topological properties of the group of measure preserving transformations begun in an earlier paper.' Using the methods and results of that paper I present theExpand
...
1
2
3
4
...