What is an Inductive Set? (Set Theory)

An explanation of an inductive set in set theory and Peano Arthmetic.
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Information for this video gathered from The Stanford Encyclopedia of Philosophy, The Internet Encyclopedia of Philosophy, The Cambridge Dictionary of Philosophy, The Oxford Dictionary of Philosophy, The Oxford Companion to Philosophy, The Routledge Encyclopedia of Philosophy, The Collier-MacMillan Encyclopedia of Philosophy, the Dictionary of Continental Philosophy, and more! (#Inductive #settheory)

[@alvaronoah8148]

Great explanation

[@InventiveHarvest]

Okay, so having a requirement of having the empty set be a member will have some consequences. For example, under this definition, the set of even numbers is not an inductive set - even though the set needs to be constructed by establishing some rule for regular order.