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Everything about Hereditarily finite set

Finite sets whose elements are all hereditarily finite sets

In mathematics, specifically set theory, hereditarily finite sets are defined as finite sets whose elements are all hereditarily finite sets. In other words, the set itself is finite and all of its elements are finite sets, recursively down to the empty set. Wikipedia →

đź§­ Start here: a 6-step reading path

  1. Read the overview: Hereditarily finite setA 5-minute orientation
  2. Pick up a classic book: Open problems in topology IIThe most-reprinted book on the subject
  3. Read the landmark paper: On hereditarily countable setsCited 8 times
  4. Go sideways: First uncountable ordinalA closely related topic
  5. Go sideways: Hereditarily countable setA closely related topic

đź“– Definitions

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🗂️ The subject at a glance

  1. Formal definition
  2. Discussion
  3. Models
  4. Axiomatizations

🏆 Landmark papers (most cited)

📚 Books worth reading

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