Abstract
This paper considers a class of set-theoretical entities, calledn-rank Linnaean structures, which are intended as abstract models of the taxonomic classificatory systems of biology. In the first part, devoted to formalism, finite Linnaean structures are discussed in complete generality; but, in addition, eight distinct subclasses are noted and some of the properties of their elements are explored. In the second part, concerned with applications, it is shown that taxonomic systems may be recast in the form of finite Linnaean structures, and an effort is made to show that some undesirable features of earlier models are avoided without artificiality and without abandoning extensional mathematics.
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Literature
Beckner, M. 1959.The Biological Way of Thought, New York: The Columbia University Press.
Gregg, J. R. 1954.The Language of Taxonomy. New York: The Columbia University Press.
Parker-Rhodes, A. F. 1957. (Review of Gregg, 1954).Philosophical Review,66, 124–25.
Quine, W. V. 1963.Set Theory and Its Logic, Cambridge: The Belknap Press of Harvard University Press.
Simpson, G. G. 1945. “The Principles of Classification and a Classification of Mammals.”Bull. of the Am. Mu. of Natur. Hist.,85, i–xvi, 1–350.
Sklar, A. 1964. “On Category Overlapping in Taxonomy.” InForm and Strategy in Science, J. R. Gregg and F. T. C. Harris, Eds. Dordrecht-Holland: The D. Reidel Publishing Company, 395–401.
van Valen, L. 1964. “An Analysis of Some Taxonomic Concepts.” InForm and Strategy in Science, J. R. Gregg and F. T. C. Harris, Eds. Dordrecht, Holland: The D. Reidel Publishing Company, 402–415.
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Gregg, J.R. Finite linnaean structures. Bulletin of Mathematical Biophysics 29, 191–206 (1967). https://doi.org/10.1007/BF02476893
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DOI: https://doi.org/10.1007/BF02476893