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NDJFL
2000
123views more  NDJFL 2000»
11 years 5 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.
MLQ
2000
99views more  MLQ 2000»
11 years 5 months ago
Von Rimscha's Transitivity Conditions
In Zermelo-Fraenkel set theory with the axiom of choice every set has the same cardinal number as some ordinal. Von Rimscha has weakened this condition to "Every set has the s...
Paul E. Howard, Jean E. Rubin, Adrienne Stanley
APAL
2006
79views more  APAL 2006»
11 years 5 months ago
Cardinal invariants related to permutation groups
We consider the possible cardinalities of the following three cardinal invariants which are related to the permutation group on the set of natural numbers: ag := the least cardina...
Bart Kastermans, Yi Zhang 0008
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