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» Cardinality, Counting, and Equinumerosity
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NDJFL
2000
123views more  NDJFL 2000»
13 years 10 months ago
Cardinality, Counting, and Equinumerosity
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...
Richard G. Heck Jr.
NDJFL
2010
13 years 5 months ago
Numerical Abstraction via the Frege Quantifier
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...
Gian Aldo Antonelli
EUSFLAT
2003
305views Fuzzy Logic» more  EUSFLAT 2003»
14 years 8 days ago
On the cardinality of fuzzy sets
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...
Pavol Král
SAT
2004
Springer
115views Hardware» more  SAT 2004»
14 years 4 months ago
Full CNF Encoding: The Counting Constraints Case
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...
Olivier Bailleux, Yacine Boufkhad
ICDE
2006
IEEE
201views Database» more  ICDE 2006»
15 years 7 days ago
Counting at Large: Efficient Cardinality Estimation in Internet-Scale Data Networks
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