Quotessence
Home / Topics / Recursion Quotes

Recursion Quotes

Browse 23 quotes about Recursion.

Recursion Quotes

“People are Exponential Moving Averages (EMAs) of their actions [and previous selves], with a varying number of data points. You(Today) = Acts(Today)*a + You(Yesterday)*b You are an expanding fuzzy network!”

Cognitive ScienceNetworksRecursionApproximate Thinking
Book:Fuzzy on the Dark Side: Approximate Thinking, and How the Mists of Creativity and Progress Can Become a Prison of Illusion
Create image

“The Kaffir, who tended the garden and looked after the chickens, in Cracow, used to sleep in the pigeon loft. He said it was "very good for the breath": One night, I had this terrifying dream. A huge corkscrew, which was the earth, was spinning round, turning on its axis and twisting in its own spiral, just like the signs outside American barbershops, and I could see myself, no bigger than a bug but not hanging on so well, slither and stumble over the helix, and with my thoughts sent whirling down moving staircases made of a priori shapes. Suddenly, the fatal moment, there is a loud crack, my neck snaps, I fall flat on my face and I emerge in a splash of sparks before the Kaffir who had come to wake me. He says: "Did you have an attack of the nasties, then? Come and look at this": And he leads me to the pigeon loft and gets me to peep through a hole in the wall. I put my eye to it. I see a terrifying sight: a huge corkscrew, which was the Earth, was spinning round, turning on its axis and twisting in its own spiral, just like the signs outside American barbershops, and I could see myself, no bigger than a bug, but not hanging on so well....' Eyes popping, the bumps on his forehead lit up, his moustache bristling, little Sidonius began the story again, which slotted into itself endlessly like the popular refrains everybody knows. He spoke feverishly, mangling his words. I listened, paralyzed with horror, at least ten times to his appalling rotating story. Then I went off to get a drink.”

NightmareLoopRecursion
Book:A Night of Serious Drinking
Create image

“Why does it disturb us that the map be included in the map and the thousand and one nights in the book of the Thousand and One Nights? Why does it disturb us that Don Quixote be a reader of the Quixote and Hamlet a spectator of Hamlet? I believe I have found the reason: these inversions suggest that if the characters of a fictional work can be readers or spectators, we, its readers or spectators, can be fictitious. In 1833, Carlyle observed that the history of the universe is an infinite sacred book that all men write and read and try to understand, and in which they are also written.”

ConsciousnessMysticismRecursionPhilisophy
Book:Labyrinths: Selected Stories & Other Writings
Create image

“This connection of all created things with every single one of them and their adaptation to every single one, as well as the connection and adaptation of every single thing to all others, has the result that every single substance stands in relations which express all the others. Whence every single substance is a perpetual living mirror of the universe.”

RecursionMonadologySelf Similarity
Book:Monadology and Other Philosophical Essays
Create image

“4.19. Dedekind's approach is a singular combination of Descartes' Cogito and the idea of the idea in Spinoza. The starting point is the very space of the Cogito, as 'closed' configuration of all possible thoughts, existential point of pure thought. It is claimed (but only the Cogito assures us of this) that something like the set of all my possible thoughts exists. From Spinoza's causal 'serialism' (regardless of whether or not he figured in Dedekind's historical sources) are taken both the existence of a parallelism' which allows us to identify simple ideas by way of their object (Spinoza says: through the body of which the idea is an idea), and the existence of a reflexive redoubling, which secures the existence of 'complex' ideas, whose object is no longer a body, but another idea. For Spinoza, as for Dedekind, this process of reflexive redoubling must go to infinity. An idea of an idea (or the thought of a thought of an object) is an idea. So there exists an idea of the idea of a body, and so on.”

MathematicsNumberRecursion
Book:Number and Numbers
Create image

“We live in strange times. We also live in strange places: each in a universe of our own. The people with whom we populate our universes are the shadows of whole other universes intersecting with our own. Being able to glance out into this bewildering complexity of infinite recursion and say things like, 'Oh, hi, Ed! Nice tan. How's Carol?' involves a great deal of filtering skill for which all conscious entities have eventually to develop a capacity in order to protect themselves from the contemplation of the chaos through which they seethe and tumble.”

PeopleWholeAbleOrderUniverseDealsNiceStrangeProtectSkillsConsciousShadowCapacityInfiniteChaosContemplationComplexityEntityGlancesCarolsStrange PlacesRecursionStrange Times
Book:Mostly Harmless
Create image

“I haven't seen any claim that Piraha lacks recursion, that is, that there are a finite number of sentences or sentence frames. If that's so, it would mean that the speakers of this language aren't making use of a capacity that they surely have, a normal situation; plenty of people throughout history would drown if they fall into water.”

PeopleIfsMeanUseFallLanguageWaterNumbersSituationHavensNormalCapacityClaimsSentencesPlentySpeakersFiniteRecursionFinite Number
Author:Noam Chomsky
Create image

“The proverbial German phenomenon of the verb-at-the-end about which droll tales of absentminded professors who would begin a sentence, ramble on for an entire lecture, and then finish up by rattling off a string of verbs by which their audience, for whom the stack had long since lost its coherence, would be totally nonplussed, are told, is an excellent example of linguistic recursion.”

LongEndsWould BeLostLanguageAudienceExampleCommunicationSentencesTalesExcellentStringsPhenomenonProfessorsLecturesVerbsCoherenceProverbialRecursion
Author:Douglas Hofstadter
Create image