Live briefing
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
- Read the overview: Hereditarily finite setA 5-minute orientation
- Pick up a classic book: Open problems in topology IIThe most-reprinted book on the subject
- Read the landmark paper: On hereditarily countable setsCited 8 times
- Go sideways: First uncountable ordinalA closely related topic
- Go sideways: Hereditarily countable setA closely related topic
đź“– Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
📚 Books worth reading
Open problems in topology IIElliott M. Pearl · 2007
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
đź”— Related topics
- First uncountable ordinal In mathematics, the first uncountable ordinal, traditionally denoted by ω 1 {\displaystyle \omega _{1}} or sometimes by Ω {\displaystyle \Omega } , is…
- Hereditarily countable set In set theory, a set is called hereditarily countable if it is a countable set of hereditarily countable sets. The inductive definition above is well-founded…
- Regular cardinal In set theory, a regular cardinal is a cardinal number that is equal to its own cofinality. More explicitly, this means that κ {\displaystyle \kappa }…
- Spectrum of a theory In model theory, a branch of mathematical logic, the spectrum of a theory is given by the number of isomorphism classes of models in various cardinalities…
- Cardinal characteristic of the continuum In the mathematical discipline of set theory, a cardinal characteristic of the continuum is an infinite cardinal number that may consistently lie strictly…
- Set-theoretic topology In mathematics, set-theoretic topology is a subject that combines set theory and general topology. It focuses on topological questions that can be solved…
- Infinitary combinatorics In mathematics, infinitary combinatorics, or combinatorial set theory, is an extension of ideas in combinatorics to infinite sets. Some of the things studied…
- Limit cardinal In mathematics, limit cardinals are certain cardinal numbers. A cardinal number λ is a weak limit cardinal if λ is neither a successor cardinal nor zero…