{ localUrl: '../page/2wk.html', arbitalUrl: 'https://arbital.com/p/2wk', rawJsonUrl: '../raw/2wk.json', likeableId: '1809', likeableType: 'page', myLikeValue: '0', likeCount: '0', dislikeCount: '0', likeScore: '0', individualLikes: [], pageId: '2wk', edit: '2', editSummary: '', prevEdit: '1', currentEdit: '2', wasPublished: 'true', type: 'wiki', title: 'Conjunctions and disjunctions', clickbait: 'The fancy name for the "and" and "or" connectives.', textLength: '807', alias: '2wk', externalUrl: '', sortChildrenBy: 'likes', hasVote: 'false', voteType: '', votesAnonymous: 'false', editCreatorId: 'JeremyPerret', editCreatedAt: '2016-03-27 13:25:06', pageCreatorId: 'JeremyPerret', pageCreatedAt: '2016-03-27 08:23:48', seeDomainId: '0', editDomainId: 'AlexeiGigster', 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: '16', text: '[summary: "P and Q" is written $P \\land Q$, "P or Q" is written $P \\lor Q$.]\n\nHere we introduce two more formal symbols. Consider the following propositions:\n\n> $ \\begin{array}{l}\nP : \\text{Socrates ate an apple.} \\\\\nQ: \\text{Socrates ate an orange.} \\\\\nR: \\text{Socrates ate an apple and an orange.}\\\\\nS: \\text{Socrates ate an apple or an orange, or both.}\\\\\n\\end{array} $\n\nThe last two propositions are combinations of the two first. $R$ is true if and only if both $P$ and $Q$ are true. We call this a **conjunction**, and represent it by the following:\n\n> $R \\equiv P \\land Q $\n\nSimilarly, $S$ is true if $P$ is true, or if $Q$ is true, or if both are true. $S$ will be false only if both $P$ and $Q$ are false. We call this a **disjunction**, and represent it by the following:\n\n> $S \\equiv P \\lor Q$', metaText: '', isTextLoaded: 'true', isSubscribedToDiscussion: 'false', isSubscribedToUser: 'false', isSubscribedAsMaintainer: 'false', discussionSubscriberCount: '1', maintainerCount: '1', userSubscriberCount: '0', lastVisit: '', hasDraft: 'false', votes: [], voteSummary: [ '0', '0', '0', '0', '0', '0', '0', '0', '0', '0' ], muVoteSummary: '0', voteScaling: '0', currentUserVote: '-2', voteCount: '0', lockedVoteType: '', maxEditEver: '0', redLinkCount: '0', lockedBy: '', lockedUntil: '', nextPageId: '', prevPageId: '', usedAsMastery: 'false', proposalEditNum: '0', permissions: { edit: { has: 'false', reason: 'You don't have domain permission to edit this page' }, proposeEdit: { has: 'true', reason: '' }, delete: { has: 'false', reason: 'You don't have domain permission to delete this page' }, comment: { has: 'false', reason: 'You can't comment in this domain because you are not a member' }, proposeComment: { has: 'true', reason: '' } }, summaries: { Summary: '"P and Q" is written $P \\land Q$, "P or Q" is written $P \\lor Q$.' }, creatorIds: [ 'JeremyPerret' ], childIds: [], parentIds: [ 'logic' ], commentIds: [], questionIds: [], tagIds: [ 'work_in_progress_meta_tag' ], relatedIds: [], markIds: [], explanations: [], learnMore: [ { id: '2745', parentId: '2wk', childId: '2wk', type: 'subject', creatorId: 'AlexeiAndreev', createdAt: '2016-06-17 21:58:56', level: '1', isStrong: 'false', everPublished: 'true' } ], requirements: [ { id: '2744', parentId: 'propositions', childId: '2wk', type: 'requirement', creatorId: 'AlexeiAndreev', createdAt: '2016-06-17 21:58:56', level: '1', isStrong: 'false', everPublished: 'true' } ], subjects: [ { id: '2745', parentId: '2wk', childId: '2wk', type: 'subject', creatorId: 'AlexeiAndreev', createdAt: '2016-06-17 21:58:56', level: '1', isStrong: 'false', everPublished: 'true' } ], lenses: [], lensParentId: '', pathPages: [], learnMoreTaughtMap: {}, learnMoreCoveredMap: {}, learnMoreRequiredMap: {}, editHistory: {}, domainSubmissions: {}, answers: [], answerCount: '0', commentCount: '0', newCommentCount: '0', linkedMarkCount: '0', changeLogs: [ { likeableId: '0', likeableType: 'changeLog', myLikeValue: '0', likeCount: '0', dislikeCount: '0', likeScore: '0', individualLikes: [], id: '9123', pageId: '2wk', userId: 'JeremyPerret', edit: '2', type: 'newEdit', createdAt: '2016-03-27 13:25:06', auxPageId: '', oldSettingsValue: '', newSettingsValue: '' }, { likeableId: '0', likeableType: 'changeLog', myLikeValue: '0', likeCount: '0', dislikeCount: '0', likeScore: '0', individualLikes: [], id: '9122', pageId: '2wk', userId: 'JeremyPerret', edit: '0', type: 'deleteTag', createdAt: '2016-03-27 13:24:29', auxPageId: 'stub_meta_tag', oldSettingsValue: '', newSettingsValue: '' }, { likeableId: '0', likeableType: 'changeLog', myLikeValue: '0', likeCount: '0', dislikeCount: '0', likeScore: '0', individualLikes: [], id: '9120', pageId: '2wk', userId: 'JeremyPerret', edit: '1', type: 'newEdit', createdAt: '2016-03-27 08:23:48', auxPageId: '', oldSettingsValue: '', newSettingsValue: '' } ], feedSubmissions: [], searchStrings: {}, hasChildren: 'false', hasParents: 'true', redAliases: {}, improvementTagIds: [], nonMetaTagIds: [], todos: [], slowDownMap: 'null', speedUpMap: 'null', arcPageIds: 'null', contentRequests: {} }