ConceptPartition Principle
Partition Principle
A proposition in set theory related to the Axiom of Choice, stating that if a surjection from set A to set B exists, then the cardinality of B is no greater than that of A. The principle cannot be proved within ZF set theory without the Axiom of Choice, making it a significant subject of study in the foundations of mathematics.
Timeline (last 90 days)
Oct 9
The Partition Principle states: if there exists a surjection from set A to set B, then the cardinality of B is no greater than the cardinality of A.
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Oct 9
The Partition Principle cannot be proven without the Axiom of Choice.
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