Humanistic Mathematics: Personal Evolution and Excavations

Postmodern View of Humanistic Mathematics

This article is an investigation of humanism in philosophy of mathematics from the point of view of postmodernism. We claim that humanistic mathematics is compatible with postmodernism which is taking over everything we have, do, or wish. Omar Khayyam, an Iranian mathematician and poet: A Book of Verses underneath the Bough, A Jug of Wine, a Loaf of Bread-and Thou Beside me singing in the Wilde...

Wandering About: Analogy, Ambiguity and Humanistic Mathematics

Humanizing Mathematics: The Humanistic Impression in the Course for Mathematics Teaching

Mathematics of Evolution and Phylogeny

Gene-order data have been used successfully to reconstruct organellar phylogenies; they offer low error rates, the potential to reach farther back in time than through DNA sequences (because genome-level events are rarer than DNA point mutations), and immunity from the so-called gene-tree vs. species-tree problem (caused by the fact that the evolutionary history of specific genes is not isomorp...

Author's Personal Copy Discrete Applied Mathematics

Given a Boolean function f , the quantity ess(f ) denotes the largest set of assignments that falsify f , no two of which falsify a common implicate of f . Although ess(f ) is clearly a lower bound on cnf _size(f ) (the minimum number of clauses in a CNF formula for f ), C̆epek et al. showed it is not, in general, a tight lower bound [6]. They gave examples of functions f forwhich there is a sma...