Humanistic Mathematics: Personal Evaluation 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

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...

Mathematics of 21st Century: A Personal View

Mathematics of 19 century and before was rich in content, intuition, strong ideas, motivation from natural sciences, and had a coherent view of all fields of mathematics (geometry, algebra, analysis, number theory, . . . ). Mathematics of 20 century added three important aspects: mathematical logic as the mathematical meta-theory of mathematics; formalism and abstractness and reduction to first...