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The set of natural numbers is $\\mathbb N.$ Not all sources include 0 in $\\mathbb N.$\n\nNatural numbers are perhaps the simplest type of number. They don't include [48l negative numbers], [4zq fractional numbers], [4bc irrational numbers], [4zw imaginary numbers], or any of those complexities.\n\nThanks to their simplicity, natural numbers are often the first mathematical concept taught to children. Natural numbers are equipped with a notion of [-addition] ($2 + 3 = 5$ and so on) and [-multiplication] ($2 \\cdot 3 = 6$ and so on), these are among the first mathematical operations taught to children.\n\nDespite their simplicity, the natural numbers are a ubiquitous and useful mathematical object. They're quite useful for counting things. They represent all the possible [4w5 cardinalities] of finite [3jz sets]. They're also a useful [data_structure data structure], in that numbers can be used to [numeric_encoding encode] all sorts of data. Almost all of modern mathematics can be built out of natural numbers.\n\n[todo: Add a \"formalization\" lens with the Peano axioms. I recommend at least one page with just the raw Peano axioms (and very little prose), and another gentler introduction sort of like http://bit.ly/29glDrR and http://bit.ly/29nKYAL, albeit more to-the-point and probably without going all the way up to non-standard number territory.]", "metaText": "", "isTextLoaded": true, "isSubscribedToDiscussion": false, "isSubscribedToUser": false, "isSubscribedAsMaintainer": false, "discussionSubscriberCount": 2, "maintainerCount": 2, "userSubscriberCount": 0, "lastVisit": "", "hasDraft": false, "votes": [], "voteSummary": null, "muVoteSummary": 0, "voteScaling": 0, "currentUserVote": -2, "voteCount": 0, "lockedVoteType": "", "maxEditEver": 0, "redLinkCount": 0, "lockedBy": "", "lockedUntil": "", "nextPageId": "", "prevPageId": "", "usedAsMastery": true, "proposalEditNum": 0, "permissions": { "edit": { "has": false, "reason": "You don't have domain permission to edit this page" }, "proposeEdit": { "has": true, "reason": "" }, "delete": { "has": 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