{ localUrl: '../page/large_computer.html', arbitalUrl: 'https://arbital.com/p/large_computer', rawJsonUrl: '../raw/1mm.json', likeableId: '583', likeableType: 'page', myLikeValue: '0', likeCount: '0', dislikeCount: '0', likeScore: '0', individualLikes: [], pageId: 'large_computer', edit: '5', editSummary: '', prevEdit: '4', currentEdit: '5', wasPublished: 'true', type: 'wiki', title: 'Unphysically large finite computer', clickbait: 'The imaginary box required to run programs that require impossibly large, but finite, amounts of computing power.', textLength: '2596', alias: 'large_computer', externalUrl: '', sortChildrenBy: 'likes', hasVote: 'false', voteType: '', votesAnonymous: 'false', editCreatorId: 'EliezerYudkowsky', editCreatedAt: '2016-01-20 00:51:25', pageCreatorId: 'EliezerYudkowsky', pageCreatedAt: '2016-01-17 01:34:11', seeDomainId: '0', editDomainId: 'EliezerYudkowsky', 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: '118', text: '[summary: An unphysically large finite computer is one that's vastly larger than anything that could possibly fit into our universe. In a practical sense, computations that would require sufficiently large finite amounts of computation are pragmatically equivalent to computations that require [1mk hypercomputers], and serve a similar purpose in unbounded analysis: they let us talk about interesting things and crisply encode relations that might take a lot of unnecessary overhead to describe using *small* finite computers. Nonetheless, since there are some mathematical pitfalls of considering infinite cases, reducing a problem to one that only requires a vast finite computer can sometimes be an improvement.\n\nAn example of an interesting computation requiring a vast finite computer is [1ml].]\n\nAn unphysically large finite computer is one that's vastly larger than anything that could possibly fit into our universe, if the *character* of physical law is anything remotely like it seems to be.\n\nWe might be able to get a googol ($10^{100}$) computations out of this universe by being clever, but to get $10^{10^{100}}$ computations would require outrunning proton decay and the second law of thermodynamics, and $9 \\uparrow\\uparrow 4$ operations ($9^{9^{9^9}}$) would require amounts of computing substrate in contiguous internal communication that wouldn't fit inside a single [Hubble Volume](https://en.wikipedia.org/wiki/Hubble_volume). Even tricks that permit the creation of new universes and encoding computations into them probably wouldn't allow a single computation of size $9 \\uparrow\\uparrow 4$ to return an answer, if the character of physical law is anything like what it appears to be.\n\nThus, in a practical sense, computations that would require sufficiently large finite amounts of computation are pragmatically equivalent to computations that require [1mk hypercomputers], and serve a similar purpose in unbounded analysis - they let us talk about interesting things and crisply encode relations that might take a lot of unnecessary overhead to describe using *small* finite computers. Nonetheless, since there are some mathematical pitfalls of considering infinite cases, reducing a problem to one guaranteed to only require a vast finite computer can sometimes be an improvement or yield new insights - especially when dealing with interesting recursions.\n\nAn example of an interesting computation requiring a vast finite computer is [1ml], or [131]'s [parametric bounded analogue of Lob's Theorem](http://intelligence.org/files/ParametricBoundedLobsTheorem.pdf).', metaText: '', isTextLoaded: 'true', isSubscribedToDiscussion: 'false', isSubscribedToUser: 'false', isSubscribedAsMaintainer: 'false', discussionSubscriberCount: '1', maintainerCount: '1', userSubscriberCount: '0', lastVisit: '2016-02-10 04:59:23', hasDraft: 'false', votes: [], voteSummary: 'null', 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: {}, creatorIds: [ 'EliezerYudkowsky' ], childIds: [], parentIds: [ 'unbounded_analysis' ], commentIds: [], questionIds: [], tagIds: [], relatedIds: [], markIds: [], explanations: [], learnMore: [], requirements: [], subjects: [], 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: '5471', pageId: 'large_computer', userId: 'EliezerYudkowsky', edit: '5', type: 'newEdit', createdAt: '2016-01-20 00:51:25', auxPageId: '', oldSettingsValue: '', newSettingsValue: '' }, { likeableId: '0', likeableType: 'changeLog', myLikeValue: '0', likeCount: '0', dislikeCount: '0', likeScore: '0', individualLikes: [], id: '5408', pageId: 'large_computer', userId: 'EliezerYudkowsky', edit: '4', type: 'newEdit', createdAt: '2016-01-17 01:43:02', auxPageId: '', oldSettingsValue: '', newSettingsValue: '' }, { likeableId: '0', likeableType: 'changeLog', myLikeValue: '0', likeCount: '0', dislikeCount: '0', likeScore: '0', individualLikes: [], id: '5407', pageId: 'large_computer', userId: 'EliezerYudkowsky', edit: '3', type: 'newEdit', createdAt: '2016-01-17 01:42:39', auxPageId: '', oldSettingsValue: '', newSettingsValue: '' }, { likeableId: '0', likeableType: 'changeLog', myLikeValue: '0', likeCount: '0', dislikeCount: '0', likeScore: '0', individualLikes: [], id: '5404', pageId: 'large_computer', userId: 'EliezerYudkowsky', edit: '2', type: 'newEdit', createdAt: '2016-01-17 01:35:17', auxPageId: '', oldSettingsValue: '', newSettingsValue: '' }, { likeableId: '0', likeableType: 'changeLog', myLikeValue: '0', likeCount: '0', dislikeCount: '0', likeScore: '0', individualLikes: [], id: '5403', pageId: 'large_computer', userId: 'EliezerYudkowsky', edit: '1', type: 'newEdit', createdAt: '2016-01-17 01:34:11', auxPageId: '', oldSettingsValue: '', newSettingsValue: '' }, { likeableId: '0', likeableType: 'changeLog', myLikeValue: '0', likeCount: '0', dislikeCount: '0', likeScore: '0', individualLikes: [], id: '5402', pageId: 'large_computer', userId: 'EliezerYudkowsky', edit: '0', type: 'newParent', createdAt: '2016-01-17 01:20:04', auxPageId: 'unbounded_analysis', oldSettingsValue: '', newSettingsValue: '' } ], feedSubmissions: [], searchStrings: {}, hasChildren: 'false', hasParents: 'true', redAliases: {}, improvementTagIds: [], nonMetaTagIds: [], todos: [], slowDownMap: 'null', speedUpMap: 'null', arcPageIds: 'null', contentRequests: {} }