Reading the chapter on Criticisms against the singularity, the strongest one so far, the one to which Kurzweil makes a really weak argument using the example of the “Busy Beaver” problem is putting Godel’s incompleteness theorems and Turings and Church’s findings of the limitations of logic and math to solve problems.<\/p>\n
Kurzweil basically has no counter argument against this, yet he tries to distract the reader with the Tibor Rado’s “Busy Beaver” problem. He says they managed to compute the Busy Beaver function for a number of N’s that would be impossible for any human to calculate, however, this is merely an example of how a computer can handle more numbers better than humans, yet, this is no example of how logic could be different in a turing machine than from the human brain.<\/p>\n
Given enough time (probably till the end of it), human beings could in theory compute those results, given the computers that can do it were programmed with human logic. This also means, that if there are unsolvable problems (on which immortality could well be one of them), a turing machine (a computer) would not be able to solve given the limitations of logic and math.<\/p>\n","protected":false},"excerpt":{"rendered":"
Reading the chapter on Criticisms against the singularity, the strongest one so far, the one to which Kurzweil makes a really weak argument using the example of the “Busy Beaver” problem is putting Godel’s incompleteness theorems and Turings and Church’s findings of the limitations of logic and math to solve problems. Kurzweil basically has no […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[72],"tags":[],"class_list":["post-2604","post","type-post","status-publish","format-standard","hentry","category-singularity"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p5Unzf-G0","jetpack-related-posts":[{"id":2505,"url":"https:\/\/www.gubatron.com\/blog\/raw-notes-from-singularity-summit-ss11\/","url_meta":{"origin":2604,"position":0},"title":"Raw Notes from Singularity Summit #SS11","author":"gubatron","date":"October 21, 2011","format":false,"excerpt":"Singularity Summit 2011 Notes. The #SS11 videos are going to be at http:\/\/vimeo.com\/siai Day 1: Kurzweil: > TO-POST: Post about the the continuity of consciousness. Watson is coded in Java, was built for massive parallelization with support for internet parallelization, and runs on linux. 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In this moving talk, entrepreneur Justin Hall-Tipping shows the materials that could make that possible, and how questioning our notion of 'normal' can lead to extraordinary breakthroughs.","rel":"","context":"In "Energy"","block_context":{"text":"Energy","link":"https:\/\/www.gubatron.com\/blog\/category\/energy\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":2610,"url":"https:\/\/www.gubatron.com\/blog\/iwasthinking-e01s01-the-complexity-of-the-world-depends-on-human-interaction\/","url_meta":{"origin":2604,"position":5},"title":"#IWasThinking E01S01: The complexity of the world depends on human interaction.","author":"gubatron","date":"December 15, 2011","format":false,"excerpt":"I suck at small talk, I like to think about other things, all my true friends aren't here so I thought I might as well meet some other like minded people by recording a series of thought starters. 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