Three Levels of Cognition: Particulars, Universals, and Representals

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DOI: 10.4236/ojpp.2016.64033    367 Downloads   475 Views  


It is shown that apart from the two well known levels of cognition involving the epistemological concepts particulars and universals, there is an intermediate level of cognition necessitating a new epistemological concept which we call represental. This has become necessary as a result of emergence of statistics (an empirical science), the theory of probability (a branch of pure mathematics), and quantum mechanics (as a branch of physics) at the beginning of the nineteenth century. We attribute to a particular man (like Mr. Jones) well defined properties (like a definite number of children) whereas we attribute to a man, the universal, only some general properties (like having an erect body). Thus particulars and universals involve two levels of cognition. In statistics we deal with the properties of a large number of particulars denoted by a universal, without referring to such details as which particular has which properties. Thus statistics involves a new level of cognition. In statistics, we attribute all the statistical properties to a single entity and refer to it as the represental (entity); the concept of represental man is only a generalization of the concept of average man proposed by Quetelet in 1869. These three epistemological concepts are distinguished by the relation they bear with respect to the possible “states” of the particulars. For instance, Mr. Jones, a particular man, can be in the state of having either 0, or 1, or 2, … children only; a man, the universal, cannot be said to have either 0, or 1, or 2, … children, though the state of having children is relevant to him (but not to a chair, the universal); the represental man has 0 child with probability P(0), 1 child with probability P(1), 2 children with probability P(2), …Thus the possible states are mutually exclusive in particulars, are only relevant to the universal, and coexist in the represental with respective probabilities. By recognizing that in statistics, the theory of probability, and quantum mechanics we deal with a new level of cognition involving the epistemological concept of represental, the interpretational problems of statistical phenomena are resolved.

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Umakantha, N. (2016) Three Levels of Cognition: Particulars, Universals, and Representals. Open Journal of Philosophy, 6, 335-345. doi: 10.4236/ojpp.2016.64033.


[1] Borel, E. (1965). Elements of the Theory of Probability. New Jersey: Prentice-Hall.
[2] Home, D., & Whitaker, M. A. B. (1992). Ensemble Interpretations of Quantum Mechanics. A Modern Perspective. Physics Reports, 210, 224.

[3] Howson, C. (1995). Theories of Probability. British Journal for Philosophy of Science, 46, 1-32.

[4] Jaynes, E. (2003). Probability Theory: The Logic of Science. Cambridge: Cambridge University Press.

[5] Kendall, M. G. (1979). The History of Statistical Menthod. In W. H. Kruskal, & J. M. Tanur, Eds., International Encyclopedia of Statistics. The Free Press.
[6] Moreland, J. P. (2001). Universal. Acumen: McGill-Queen’s University Press.
[7] Quetelet, A. (1869). Physique Sociale ou sur le Development des Faculties de L’homme. Brussels.
[8] Russell, B. (1948). Human Knowledge, Ch VI. London: Allen and Unwin.
[9] Spigel, M. (1962). Theory and Problems of Probability and Statistics. New York: McGraw-Hill.
[10] Umakantha, N. (2016). A New Approach to Probability Theory with Reference to Statistics and Statistical Physics. Journal of Modern Physics, 7, 989-1003.

[11] Wittgenstein, L. (1967). Probability. In P. Edwards, Ed., The Encyclopedia of Philisophy (Vol. 7, p. 468). New York: Macmillon and Free Press.

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