Causality, Criticality, and Reading Words: Distinct Sources of Fractal Scaling in Behavioral Sequences
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Cognitive Science 35 (5):785-837 (2011)
The finding of fractal scaling (FS) in behavioral sequences has raised a debate on whether FS is a pervasive property of the cognitive system or is the result of specific processes. Inferences about the origins of properties in time sequences are causal. That is, as opposed to correlational inferences reflecting instantaneous symmetrical relations, causal inferences concern asymmetric relations lagged in time. Here, I integrate Granger-causality with inferences about FS. Four simulations illustrate that causal analyses can isolate distinct FS sources, whereas correlational techniques cannot. I then analyze three simultaneous sequences of responses from a database of word-naming trials. I find that two, or perhaps three, distinct sources account for the presence of FS in these sequences, but FS is not a general property of the system. This suggests that FS arises due to the properties of a limited number of identifiable psychological and/or neural processes. Finally, I reanalyze a previously published dataset of acoustic frequency spectra using the new tools. The causality/criticality combination introduced here offers a new important perspective in the study of cognition
|Keywords||Word naming Bayesian assessment of scaling Transfer entropy Reaction time Fractal scaling Granger causality|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
S. L. Bressler & J. A. Kelso (2001). Cortical Coordination Dynamics and Cognition. Trends in Cognitive Sciences 5 (1):26-36.
Christopher T. Kello, Gregory G. Anderson, John G. Holden & Guy C. Van Orden (2008). The Pervasiveness of 1/F Scaling in Speech Reflects the Metastable Basis of Cognition. Cognitive Science 32 (7):1217-1231.
Claude Shannon (1948). A Mathematical Theory of Communication. Bell System Technical Journal 27:379–423.
Citations of this work BETA
No citations found.
Similar books and articles
T. V. Reeves (1988). A Theory of Probability. British Journal for the Philosophy of Science 39 (2):161-182.
C. P. Schnorr & P. Fuchs (1977). General Random Sequences and Learnable Sequences. Journal of Symbolic Logic 42 (3):329-340.
Phil Dowe (1992). Process Causality and Asymmetry. Erkenntnis 37 (2):179-196.
M. A. Holst (2013). Incomplete Descriptions and (Reverse) Sobel Sequences. Analysis 73 (1):26-32.
Joan Rand Moschovakis (1987). Relative Lawlessness in Intuitionistic Analysis. Journal of Symbolic Logic 52 (1):68-88.
George L. Newsome (2003). The Debate Between Current Versions of Covariation and Mechanism Approaches to Causal Inference. Philosophical Psychology 16 (1):87 – 107.
Wolfgang Merkle (2003). The Kolmogorov-Loveland Stochastic Sequences Are Not Closed Under Selecting Subsequences. Journal of Symbolic Logic 68 (4):1362-1376.
Feng Shi & Zhongxi Mo (2002). Similarity Among Nucleotides Sequences. Acta Biotheoretica 50 (2):95-99.
Tina Grotzer (2012). Learning Causality in a Complex World: Understandings of Consequence. Rowman & Littlefield Education.
Max Kistler (1998). Reducing Causality to Transmission. Erkenntnis 48 (1):1-25.
Jonathan Schaffer, The Metaphysics of Causation. Stanford Encyclopedia of Philosophy.
Markus Sebastiaan Paul Rogier van Atten (2007). Brouwer Meets Husserl: On the Phenomenology of Choice Sequences. Springer.
Martin C. Cooke (2003). Infinite Sequences: Finitist Consequence. British Journal for the Philosophy of Science 54 (4):591-599.
M. Adrian Carpentier (1968). Creative Sequences and Double Sequences. Notre Dame Journal of Formal Logic 9 (1):35-61.
Added to index2011-06-10
Total downloads16 ( #118,429 of 1,679,344 )
Recent downloads (6 months)3 ( #78,911 of 1,679,344 )
How can I increase my downloads?