{ localUrl: '../page/math.html', arbitalUrl: 'https://arbital.com/p/math', rawJsonUrl: '../raw/1lw.json', likeableId: 'sparking_widgets', likeableType: 'page', myLikeValue: '0', likeCount: '4', dislikeCount: '0', likeScore: '4', individualLikes: [ 'AlexeiAndreev', 'EricBruylant', 'GregorGerasev', 'JacksonFriess' ], pageId: 'math', edit: '5', editSummary: 'added links', prevEdit: '4', currentEdit: '5', wasPublished: 'true', type: 'wiki', title: 'Mathematics', clickbait: 'Mathematics is the study of numbers and other ideal objects that can be described by axioms.', textLength: '745', alias: 'math', externalUrl: '', sortChildrenBy: 'likes', hasVote: 'false', voteType: '', votesAnonymous: 'false', editCreatorId: 'EricBruylant', editCreatedAt: '2016-06-22 17:49:03', pageCreatorId: 'EliezerYudkowsky', pageCreatedAt: '2016-01-15 03:02:51', seeDomainId: '0', editDomainId: 'AlexeiAndreev', submitToDomainId: '0', isAutosave: 'false', isSnapshot: 'false', isLiveEdit: 'true', isMinorEdit: 'false', indirectTeacher: 'false', todoCount: '0', isEditorComment: 'false', isApprovedComment: 'true', isResolved: 'false', snapshotText: '', anchorContext: '', anchorText: '', anchorOffset: '0', mergedInto: '', isDeleted: 'false', viewCount: '2272', text: 'Mathematics is the study of crisply specified formal objects — for example, [number numbers] — and the ways of knowing their [mathematical_properties properties] — such as [-proofs]. We can see "[-258]" as the study of "which conclusions follow with certainty from which premises". Using this definition of logic, we can also see mathematics as the study of logical objects in logical universes — entities whose properties follow from specifications about them, rather than from observation of the real world. 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