Frege, famously, held that there is a close connection between our concept of cardinal number and the notion of one-one correspondence, a connection enshrined in Hume's Princi...
l Abstraction via the Frege Quantifier G. Aldo Antonelli Abstract This paper presents a formalization of first-order aritharacterizing the natural numbers as abstracta of the equin...
It seems that a suitably constructed fuzzy sets of natural numbers form the most complete and adequate description of cardinality of finite fuzzy sets.(see [11]) Nevertheless, in...
Abstract. Many problems are naturally expressed using CNF clauses and boolean cardinality constraints. It is generally believed that solving such problems through pure CNF encoding...
Counting in general, and estimating the cardinality of (multi-) sets in particular, is highly desirable for a large variety of applications, representing a foundational block for ...
Nikos Ntarmos, Peter Triantafillou, Gerhard Weikum