Hostname: page-component-586b7cd67f-2brh9 Total loading time: 0 Render date: 2024-11-25T01:37:54.280Z Has data issue: false hasContentIssue false

The Epistemologies of Non-Forecasting Simulations, Part II: Climate, Chaos, Computing Style, and the Contextual Plasticity of Error

Published online by Cambridge University Press:  01 June 2009

Lambert Williams
Affiliation:
Harvard University and Max-Planck-Institut für Wissenschaftsgeschichte, Berlin
William Thomas
Affiliation:
Center for the History of Physics, American Institute of Physics, College Park, Maryland

Argument

We continue our analysis of modeling practices that focus more on qualitative understanding of system behavior than the attempt to provide sharp forecasts. The argument here is built around three episodes: the ambitious work of the Princeton Meteorological Project; the seemingly simple models of convection in weather systems by Edward Lorenz at MIT; and then finally analysis of the dripping faucet by Robert Shaw and the Dynamical Systems Collective at UC Santa Cruz. Using the Princeton Meteorological Project as an argumentative foil for the later chaos work of Lorenz and Shaw, we first show how the epistemological interest of modeling came to shift from issuing predictions to probing the very meaning and limits of prediction. The second step of our argument shows that what may be seen in one context of use as a modeling technology that is error ridden, imprecise, or inadequate, may be parsed completely differently in another context. This argument about technology and practice, we argue, feeds through to epistemological conceptions of error. Far from being something that can be defined in the absolute, the notion of error is shown to be contextually plastic.

Type
Research Article
Copyright
Copyright © Cambridge University Press 2009

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Abraham, Ralph and Ueda, Yoshisuke, eds. 2000. The Chaos Avant-Garde: Memories of the Early Days of Chaos Theory. Singapore: World Scientific.Google Scholar
Akera, Atsushi and Nebeker, Frederik, eds. 2002. From 0 to 1: An Authoritative History of Modern Computing. Oxford: Oxford University Press.Google Scholar
Aspray, William. 1990. John von Neumann and the Origins of Modern Computing. Cambridge, MA: MIT Press.Google Scholar
Aubin, David and Dalmedico, Amy Dahan. 2002. “Writing the History of Dynamical Systems and Chaos: Longue Durée and Revolution, Disciplines and Cultures.” Historia Mathematica 29:273339.CrossRefGoogle Scholar
Barrow-Green, June. 1997. Poincaré and the Three Body Problem. Providence, RI: American Mathematical Society and London: London Mathematical Society.Google Scholar
Bass, Thomas. 1985. The Eudaemonic Pie. Boston: Houghton Mifflin.Google Scholar
Bjerknes, Vilhelm. 1914. “Meteorology as an Exact Science.” Monthly Weather Review 42:1114.2.0.CO;2>CrossRefGoogle Scholar
Ceruzzi, Paul. 2003. A History of Modern Computing. 2nd ed.Cambridge, MA: MIT Press.Google Scholar
Charney, Jule. 1948–1949. “Progress Report of the Meteorology Group at the Institute for Advanced Study (July 1, 1948 – June 30, 1949).” Jule Gregory Charney Papers (MC 184), Institute Archives and Special Collections, Massachusetts Institute of Technology.Google Scholar
Charney, Jule, Fjørtoft, Ragnar, and von Neumann, John. 1950. “A Numerical Method for Predicting the Perturbations of the Middle Latitude Westerlies.” Tellus 1 (2):3854.Google Scholar
Collins, Harry. 2004. Gravity's Shadow: The Search for Gravitational Waves. Chicago: University of Chicago Press.CrossRefGoogle Scholar
Colonna, Jean-Francois. 1993. “The Subjectivity of Computers.” Communications of the ACM 36 (8):1518.Google Scholar
Dahan Dalmedico, Amy. 2001. “History and Epistemology of Models: Meteorology (1946–1963) as a Case Study.” Archive for History of Exact Sciences 55:395422.CrossRefGoogle Scholar
Dahan Dalmedico, Amy and Gouzevitch, Irina. 2004. “Early Developments of Nonlinear Science in Soviet Russia: The Andronov School at Gor'kiy.” Science in Context 17 (1/2):235–65.CrossRefGoogle Scholar
Dauxois, Thierry. 2008. “Fermi, Pasta, Ulam, and a Mysterious Lady.” Physics Today January:55–7.Google Scholar
Edwards, Paul. 1996. The Closed World: Computers and the Politics of Discourse in Cold War America. Cambridge, MA: MIT Press.Google Scholar
Edwards, Paul. 1998. “Virtual Machines, Virtual Infrastructures.” Isis 89:9399.CrossRefGoogle Scholar
Fermi, Enrico, Pasta, John, and Ulam, Stanisław. 1965. “Studies of Non Linear Problems (Los Alamos Document La-1940, May 1955).” In Enrico Fermi Collected Papers (Note e Memorie), Vol. 2, edited by Edoardo, Amaldi, Anderson, Herbert, Persico, Enrico, Segrè, Emilio and Wattenberg, Albert, 978988. Chicago: University of Chicago Press.Google Scholar
Friedman, Robert Marc. 1993. Appropriating the Weather: Vilhelm Bjerknes and the Construction of a Modern Meteorology. Ithaca: Cornell University Press.CrossRefGoogle Scholar
Galavotti, Maria-Carla, ed. 2004. Observation and Experiment in the Natural and Social Sciences. Boston Studies in the Philosophy of Science, Vol. 237. Dordrecht: Springer Netherlands.CrossRefGoogle Scholar
Galison, Peter. 1997. Image and Logic: A Material Culture of Microphysics. Chicago: University of Chicago Press.Google Scholar
Galison, Peter. 1998. “Feynman's War.” Studies in the History and Philosophy of Modern Physics 29 (3):391434.CrossRefGoogle Scholar
Galison, Peter. 2003. Einstein's Clocks, Poincaré's Map: Empires of Time. New York: W. W. Norton.Google Scholar
Gleick, James. 1987. Chaos: Making a New Science. New York: Penguin.Google Scholar
Gleick, James. 1988. “The Dynamical Systems Collective.” Computers in Physics 2 (2):4053.CrossRefGoogle Scholar
Goldstine, Herman and von Neumann, John. 1946. “On the Principles of Large Scale Computing Machines.” Unpublished MS (appears in von Neumann's Collected Works, vol. 5, 1–32).Google Scholar
Haring, Kristen. 2006. Ham Radio's Technical Culture. Cambridge, MA: MIT Press.CrossRefGoogle Scholar
Harper, Kristine. 2003. “Research from the Boundary Layer: Civilian Leadership, Military Funding and the Development of Numerical Weather Prediction.” Social Studies of Science 33 (5):667696.Google Scholar
Hartland, Stanley and Hartley, Richard. 1976. Axisymmetric Fluid – Liquid Interfaces. Amsterdam: Elsevier.Google Scholar
Harwood, Jonathan. 1993. Styles of Scientific Thought: The German Genetics Community, 1900 – 1933. Chicago: University of Chicago Press.Google Scholar
Hayes, Brian. 2001. “The Weatherman.” American Scientist 89:1014.CrossRefGoogle Scholar
Heims, Steve. 1980. John von Neumann and Norbert Wiener: From Mathematics to the Technologies of Life and Death. Cambridge, MA: MIT Press.Google Scholar
Jankovic, Vladimir. 2004. “Science Migrations.” Social Studies of Science 34 (1):4575.CrossRefGoogle Scholar
Kaiser, David. 2005. Drawing Theories Apart: The Dispersion of Feynman Diagrams in Postwar Physics. Chicago: University of Chicago Press.CrossRefGoogle Scholar
Knorr Cetina, Karin. 1999. Epistemic Cultures: How the Sciences Make Knowledge. Cambridge, MA: Harvard University Press.CrossRefGoogle Scholar
Latour, Bruno. 1987. Science in Action: How to Follow Scientists and Engineers through Society. Cambridge, MA: Harvard University Press.Google Scholar
Latour, Bruno. 1999. Pandora's Hope: Essays on the Reality of Science Studies. Cambridge, MA: Harvard University Press.Google Scholar
Lewis, C. S. 1964. The Discarded Image: An Introduction to Medieval and Renaissance Literature. Cambridge: Cambridge University Press.Google Scholar
Lindzen, Richard, Lorenz, Edward, and Platzman, George, eds. 1990. The Atmosphere – A Challenge: The Science of Jule Gregory Charney. Boston: American Meteorological Society.CrossRefGoogle Scholar
Lloyd, Seth. 2001. “Measures of Complexity: A Nonexhaustive List.” IEEE Control Systems Magazine 21 (4):78.Google Scholar
Lloyd, Seth. 2006. Programming the Universe: A Quantum Computer Scientist takes on the Cosmos. New York: Vintage Books.Google Scholar
Lorenz, Edward. 1960a. “Energy and Numerical Prediction.” Tellus 12:364373.Google Scholar
Lorenz, Edward. 1960b. “The Statistical Prediction of Solutions of Dynamic Equations.” Proceedings of the International Symposium on Numerical Weather Prediction in Tokyo, 629–635.Google Scholar
Lorenz, Edward. 1960c. “Maximum Simplification of the Dynamic Equations.” Tellus 12:243254.CrossRefGoogle Scholar
Lorenz, Edward. 1963. “Deterministic Nonperiodic Flow.” Journal of the Atmospheric Sciences 20:130141.2.0.CO;2>CrossRefGoogle Scholar
Lorenz, Edward. 1993. The Essence of Chaos: The Jessie and John Danz Lectures. Seattle: University of Washington Press.CrossRefGoogle Scholar
Mackenzie, Donald. 1990. Inventing Accuracy: A Historical Sociology of Nuclear Missile Guidance. Cambridge, MA: MIT Press.Google Scholar
Mauchly, John. 1945. “Note on Possible Meteorological Use of High Speed Sorting and Computing Devices.” Unpublished manuscript.Google Scholar
Merz, Martina. 1999. “Multiplex and Unfolding: Computer Simulation in Particle Physics.” Science in Context 12 (2):293316.Google Scholar
Millikan, Robert. 1919. “Some Scientific Aspects of the Meteorological Work of the United States Army.” Proceedings of the American Philosophical Society 58:133149.Google Scholar
Nebeker, Frederik. 1995. Calculating the Weather: Meteorology in the 20th Century. San Diego: Academic Press.Google Scholar
Nietzsche, Friedrich. [1887] 1980. Zur Genealogie der Moral: Eine Streitschrift. In Friedrich Nietzsche: Sämtliche Werke, edited by Colli, Giorgio and Montinari, Mazzino, 15 vols. München: Deutsche Taschenbuch Verlag.Google Scholar
Owens, Larry. 1996. “Where are We Going, Phil Morse? Changing Agendas and the Rhetoric of Obviousness in the Transformation of Computing at MIT, 1939–1957.” IEEE Annals of the History of Computing 18 (4):3441.Google Scholar
Pagels, Heinz. 1988. The Dreams of Reason: The Computer and the Rise of the Sciences of Complexity. New York: Simon and Schuster.Google Scholar
Pinch, Trevor and Trocco, Frank. 2002. Analog Days: The Invention and Impact of the Moog Synthesizer. Cambridge, MA: Harvard University Press.Google Scholar
Poincaré, Henri. 1890. “Sur le problème des trois corps et les équations de la dynamique.” Acta Mathematica 13:1270.Google Scholar
Proceedings of a Symposium on Large-Scale Digital Calculating Machinery. 1948. Jointly Sponsored by the Navy Bureau of Ordnance and Harvard University at the Computation Laboratory, 7–10 January 1947. Cambridge, MA: Harvard University Press.Google Scholar
Rheinberger, Hans-Jörg. 1997. Toward a History of Epistemic Things: Synthesizing Proteins in the Test Tube. Stanford: Stanford University Press.Google Scholar
Rheinberger, Hans-Jörg. 2005. “Gaston Bachelard and the Notion of Phenomenotechnque.” Perspectives on Science 13 (3):313328.CrossRefGoogle Scholar
Richardson, Lewis Fry. 1922. Weather Prediction by Numerical Process. Cambridge: Cambridge University Press.Google Scholar
Roberts, Royston. 1989. Serendipity: Accidental Discoveries in Science. New York: John Wiley.Google Scholar
Rössler, Otto. 1976. “An Equation for Continuous Chaos.” Physics Letters 57 (5):397398.Google Scholar
Rössler, Otto. 1979. “Continuous Chaos – Four Prototype Equations.” Annals of the New York Academy of Sciences 316:376392.CrossRefGoogle Scholar
Saltzman, Barry. 1962. “Finite Amplitude Free Convection as an Initial Value Problem.” Journal of the Atmospheric Sciences 19:329341.Google Scholar
Shaw, Robert. 1984. The Dripping Faucet as a Model Chaotic System. Santa Cruz, CA: Aerial Press.Google Scholar
Shaw, William Napier. 1922. “Meteorological Theory in Practice.” Nature 110:762765.CrossRefGoogle Scholar
Smale, Stephen. 1998. “Mathematical Problems for the Next Century.” Mathematical Intelligencer 20 (2):715.Google Scholar
Smargorinsky, Joseph. 1983. “The Beginnings of Numerical Weather Prediction and General Circulation Modeling: Early Recollections.” Advances in Geophysics 25:337.CrossRefGoogle Scholar
Smith, Peter. 1998. Explaining Chaos. Cambridge: Cambridge University Press.Google Scholar
Stagg, James. 1971. Forecast for Overlord: June 6, 1944. London: Ian Allen Ltd.Google Scholar
Star, Susan Leigh and Griesemer, James. 1989. “Institutional Ecology, ‘Translations’ and Boundary Objects.” Social Studies of Science 19:387420.CrossRefGoogle Scholar
Steinle, Friedrich. 2005. Explorative Experimente: Ampère, Faraday und die Ursprünge der Elektrodynamik. Stuttgart: Franz Steiner Verlag.Google Scholar
Thompson, Philip. 1957. “Uncertainty of Initial State as a Factor in the Predictability of Large Scale Atmospheric Flow Patterns.” Tellus 9:275295.CrossRefGoogle Scholar
Tucker, Warwick. 2002. “A Rigorous ODE Solver and Smale's 14th Problem.” Foundations of Computational Mathematics 2:53117.CrossRefGoogle Scholar
Turner, Fred. 2006. From Counterculture to Cyberculture: Stewart Brand, the Whole Earth Network, and the Rise of Digital Utopianism. Chicago: University of Chicago Press.CrossRefGoogle Scholar
van der Ende, Jan and Kemp, René. 1999. “Technological Transformations in History: How the Computer Regime Grew out of Existing Computer Regimes.” Research Policy 28:833851.Google Scholar
von Neumann, John. 1961. Collected Works. Six volumes. New York: Pergamon Press.Google Scholar
von Neumann, John and Goldstine, Herman. 1947. “Numerical Inverting of Matrices of High Order.” Bulletin of the American Mathematical Society 53 (11):10211099.CrossRefGoogle Scholar
Wiener, Norbert. 1956. “Nonlinear Prediction and Dynamics.” Proceedings of the 3rd Berkeley Symposium on Mathematical Statistics and Probability, 247–252.Google Scholar
Wolff, Paul and Hubert, William. 1964. “Selection of Computer Systems for Economical Meteorological Operations.” Bulletin of the American Meteorological Society 45:640643.CrossRefGoogle Scholar