Infinite combinatorics in mathematical biology

  title={Infinite combinatorics in mathematical biology},
  author={Saharon Shelah and Lutz Str{\"u}ngmann},
  journal={Bio Systems},

The Hiatus Between Organism and Machine Evolution: Contrasting Mixed Microbial Communities with Robots

A systemic viewpoint of mixed microbial communities is focused on the pivotal role of affordances in evolution and it is maintained that the two realms are neatly separated, that natural evolution proceeds by extending the space of its possibilities in a completely open way, while the latter is inherently limited by the algorithmic framework in which it is defined.

Some Statistics on Generalized Motzkin Paths with Vertical Steps

Recently, several authors have considered lattice paths with various steps, including vertical steps permitted. In this paper, we consider a kind of generalized Motzkin paths, called G-Motzkin paths



Circular codes, symmetries and transformations

This article studies the symmetries and transformations that connect different circular codes and shows that the class of 216 $$C^3$$C3 maximal self-complementary codes can be partitioned into 27 equivalence classes defined by a particular set of transformations.

Proper and Improper Forcing

This work deals with set-theoretic independence results (independence from the usual set-theoretic ZFC axioms), in particular for problems on the continuum. Consequently, the theory of iterated

Approximations and Endomorphism Algebras of Modules

The category of all modules over a general associative ring is too complex to admit any reasonable classification. Thus, unless the ring is of finite representation type, one must limit attempts at

The Consistency of the Axiom of Choice and of the Generalized Continuum-Hypothesis.

  • K. Gödel
  • Mathematics
    Proceedings of the National Academy of Sciences of the United States of America
  • 1938
Kurt Godel, mathematician and logician, was one of the most influential thinkers of the twentieth century and ranked higher than fellow scientists Edwin Hubble, Enrico Fermi, John Maynard Keynes, James Watson, Francis Crick, and Jonas Salk.

Infinite abelian groups, whitehead problem and some constructions

We solve here some problems from Fuchs’ book. We show that the answer to Whitehead’s problem (for groups of power ℵ1) is independent from the usual axioms of set theory. We prove the existence of

Circular code motifs in genomes of eukaryotes.

A New Result on Comma-Free Codes of Even Word-Length

Comma-free codes were first introduced in [1] in 1957 as a possible genetic coding scheme for protein synthesis and the biochemical and mathematical aspects of the problem were later summarized and extended in [4].