Acta Biotheoretica 61 (2):181--201 (2013)

Abstract
We argue that C. Darwin and more recently W. Hennig worked at times under the simplifying assumption of an eternal biosphere. So motivated, we explicitly consider the consequences which follow mathematically from this assumption, and the infinite graphs it leads to. This assumption admits certain clusters of organisms which have some ideal theoretical properties of species, shining some light onto the species problem. We prove a dualization of a law of T.A. Knight and C. Darwin, and sketch a decomposition result involving the internodons of D. Kornet, J. Metz and H. Schellinx. A further goal of this paper is to respond to B. Sturmfels’ question, “Can biology lead to new theorems?”
Keywords infinitary systematics  tree of life  Knight-Darwin Law  species problem  internodons
Categories (categorize this paper)
Reprint years 2013
DOI 10.1007/s10441-012-9168-y
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

 PhilArchive page | Other versions
External links

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

On the Origin of Species.Charles Darwin - 2008 - Oxford University Press.
Species Concepts and Species Delimitation.Kevin de Queiroz - 2007 - Systematic Biology 56 (6):879-886.
Sorites Paradox.Dominic Hyde - 2008 - Stanford Encyclopedia of Philosophy.

View all 7 references / Add more references

Citations of this work BETA

Biologically Unavoidable Sequences.Samuel Alexander - 2013 - Electronic Journal of Combinatorics 20 (1):1-13.

Add more citations

Similar books and articles

Microbiology and the Species Problem.Marc Ereshefsky - 2010 - Biology and Philosophy 25 (4):553-568.
Species Concepts Should Not Conflict with Evolutionary History, but Often Do.Joel D. Velasco - 2008 - Studies in History and Philosophy of Science Part C: Studies in History and Philosophy of Biological and Biomedical Sciences 39 (4):407-414.
Originating Species : Darwin on the Species Problem.Phillip R. Sloan - 2009 - In Michael Ruse & Robert J. Richards (eds.), The Cambridge Companion to the "Origin of Species". Cambridge University Press.
For Pluralism and Against Realism About Species.P. Kyle Stanford - 1995 - Philosophy of Science 62 (1):70-91.

Analytics

Added to PP index
2012-12-14

Total views
116 ( #99,716 of 2,499,664 )

Recent downloads (6 months)
20 ( #42,728 of 2,499,664 )

How can I increase my downloads?

Downloads

My notes