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GEB and I am a Strange Loop are some of my favorite books. See Tanenbaum (1999).
6 years ago. 169-170). 100% Upvoted.
Are there any other books/authors discussing similar concepts? The concept of a strange loop was proposed and extensively discussed by Douglas Hofstadter in Gödel, Escher, Bach, and is further elaborated in Hofstadter's book I Am a Strange Loop, published in 2007. In need of a good read?
Selecting this option will search all publications across the Scitation platform, Selecting this option will search all publications for the Publisher/Society in context, The Journal of the Acoustical Society of America. [1] Gödel showed that mathematics and logic contain strange loops: propositions that not only refer to mathematical and logical truths, but also to the symbol systems expressing those truths. [2], The "strangeness" of a strange loop comes from our way of perception, because we categorize our input in a small number of "symbols" (by which Hofstadter means groups of neurons standing for one thing in the outside world). u/stornm.
In a similar way a sound with seemingly ever increasing tempo can be constructed, as was demonstrated by Jean-Claude Risset. Hofstadter says this happens in the proof of Gödel's incompleteness theorem: Merely from knowing the formula's meaning, one can infer its truth or falsity without any effort to derive it in the old-fashioned way, which requires one to trudge methodically "upwards" from the axioms. Receive weekly updates with the most interesting articles, Radboud University Nijmegen, The Netherlands, Douglas Hofstadter, the son of physics Nobel laureate Robert Hofstadter and once a, By definition, a strange loop is a “level-crossing feedback loop” (page 102). This thread is archived. When played with the base pitch of the tone moving upwards or downwards, it is referred to as the Shepard scale. Strange loops may involve self-reference and paradox. Examples of strange loops that Hofstadter offers include: many of the works of M. C. Escher, the Canon 5. a 2 from Bach's Musical Offering, the information flow network between DNA and enzymes through protein synthesis and DNA replication, and self-referential Gödelian statements in formal systems. The concept of a strange loop was originally developed in his 1979 book Gödel, Escher, Bach. share. Sort by.
A similar concept is metamorphic code. Hofstadter points to Bach's Canon per Tonos, M. C. Escher's drawings Waterfall, Drawing Hands, Ascending and Descending, and the liar paradox as examples that illustrate the idea of strange loops, which is expressed fully in the proof of Gödel's incompleteness theorem. I regard the purely philosophical nature of the book, which is entirely based on analogies and metaphors, as a serious weakness. This option allows users to search by Publication, Volume and Page. To sign up for alerts, please log in first. The concept of a strange loop was proposed and extensively discussed by Douglas Hofstadter in Gödel, Escher, Bach, and is further elaborated in Hofstadter's book I Am a Strange Loop, published in 2007.
Should I read "I am a strange loop" or "GEB?" Hofstadter thinks our minds appear to us to determine the world by way of "downward causality", which refers to a situation where a cause-and-effect relationship in a system gets flipped upside-down.
ISBN 978-0-465-03078-1 Buy at Amazon Douglas Hofstadter, the son of physics Nobel laureate Robert Hofstadter and once a solid-state physicist himself, became instantly famous with his first book Gödel, Escher, Bach: An Eternal Golden Braid (Basic Books, 1979). Article copyright remains as specified within the article. So the difference between the video-feedback loop and our strange loops, our "I"s, is that while the former converts light to the same pattern on a screen, the latter categorizes a pattern and outputs its essence, so that as we get closer and closer to our essence, we get further down our strange loop.[3]. In I Am a Strange Loop, Hofstadter defines strange loops as follows: And yet when I say "strange loop", I have something else in mind — a less concrete, more elusive notion. Efron's dice are four dice that are intransitive under gambler's preference. "I Am a Strange Loop is thoughtful, amusing and infectiously enthusiastic." This leads to the sort of paradoxes seen in statements such as "This statement is false," wherein the sentence's basis of truth is found in referring to itself and its assertion, causing a logical paradox. (pp. Archived. A strange loop is a hierarchy of levels, each of which is linked to at least one other by some type of relationship. $26.95 (412 pp.). A strange loop hierarchy is "tangled" (Hofstadter refers to this as a "heterarchy"), in that there is no well defined highest or lowest level; moving through the levels, one eventually returns to the starting point, i.e., the original level.
Close. 101-102), Strange loops take form in human consciousness as the complexity of active symbols in the brain inevitably leads to the same kind of self-reference which Gödel proved was inherent in any complex logical or arithmetical system in his incompleteness theorem. Normally, one cannot merely look at what a mathematical conjecture says and simply appeal to the content of that statement on its own to deduce whether the statement is true or false. The "chicken or the egg" paradox is perhaps the best-known strange loop problem. New comments cannot be posted and votes cannot be cast. The liar paradox and Russell's paradox also involve strange loops, as does René Magritte's painting The Treachery of Images. Named after Roger Shepard, it is a sound consisting of a superposition of tones separated by octaves. Strange loops may involve self-reference and paradox. His claim hinges on the fact that the dance of symbols, and hence its self-reference, is a, The genre of the book is philosophy of mind. Should I read "I am a strange loop" or "GEB?"
I Am a Strange Loop , Douglas Hofstadter , Basic Books, New York, 2007. GEB and I am a Strange Loop are some of my favorite books. Press J to jump to the feed.
--Bloomberg news "I Am a Strange Loop is vintage Hofstadter: earnest, deep, overflowing with ideas, building its argument into the experience of reading it-for if our souls can incorporate those of others, then I Am a Strange Loop can transmit Hofstadter's into ours. That is a lot of fun. In short, a strange loop is a paradoxical level-crossing feedback loop. I want to read a Hofstadter book. Receive weekly updates with the most interesting articles and exclusive content.
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comments Hofstadter claims a similar "flipping around of causality" appears to happen in minds possessing self-consciousness. share. Have you read The Mind’s I by Hofstadter and Dennett? What that description means is best illustrated by the example that has motivated Hofstadter since his teenage years. Cyclic structure that goes through several levels in a hierarchical system. A tangled hierarchy is a hierarchical consciousness system in which a strange loop appears.
A quine in software programming is a program that produces a new version of itself without any input from the outside. The "ouroboros", which depicts a dragon eating its own tail, is perhaps one of the most ancient and universal symbolic representations of the reflexive loop concept. Learn how and when to remove this template message, "I Am A Strange Loop by Douglas Hofstadter", "Simultaneous intersection representation of pairs of graphs", 10.1002/(SICI)1097-0118(199910)32:2<171::AID-JGT7>3.0.CO;2-N, https://en.wikipedia.org/w/index.php?title=Strange_loop&oldid=977282474, Articles needing additional references from December 2015, All articles needing additional references, Articles with dead external links from July 2020, Creative Commons Attribution-ShareAlike License, This page was last edited on 8 September 2020, at 00:03. New comments cannot be posted and votes cannot be cast, More posts from the booksuggestions community.
What I mean by "strange loop" is — here goes a first stab, anyway — not a physical circuit but an abstract loop in which, in the series of stages that constitute the cycling-around, there is a shift from one level of abstraction (or structure) to another, which feels like an upwards movement in an hierarchy, and yet somehow the successive "upward" shifts turn out to give rise to a closed cycle.
The mind perceives itself as the cause of certain feelings ("I" am the source of my desires), while according to popular scientific models, feelings and desires are strictly caused by the interactions of neurons. We are not born with an "I" – the ego emerges only gradually as experience shapes our dense web of active symbols into a tapestry rich and complex enough to begin twisting back upon itself.
Selecting this option will search the current publication in context. It arises when, by moving only upwards or downwards through the system, one finds oneself back where one started. I Am a Strange Loop Audiobook. save hide report. There is not a single reference to a serious. By: Douglas R. Hofstadter; Narrated by: Greg Baglia; Length: 16 hrs and 47 mins; Unabridged Audiobook; Release date: 09-24-18; Language: English . save hide report. Press question mark to learn the rest of the keyboard shortcuts. The Stonecutter is an old Japanese fairy tale with a story that explains social and natural hierarchies as a strange loop. The mathematical phenomenon of polysemy has been observed to be a strange loop. 1 comment.
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