--- title: "Meaning & Key Takeaway of: A good example of the archetypal ideas…" description: "\"“A good example of the archetypal ideas which the archetypes produce are natural numbers or integers. With the aid of the integers the shaping and orde..." image: "https://sms4smile.com/quotes/i/95c/k-v-laurikainen-95313_archetypes_a-good-example-of-the-archetypal-ideas-w_2519825.jpg" --- # A good example of the archetypal ideas which the… ![“A good example of the archetypal ideas which the archetypes produce are natural numbers or integers. With the aid of the integers the shaping and ordering of our experiences becomes exact. Another example is mathematical group theory. ...important applications of group theory are symmetries which…” quote by K. V. Laurikainen](https://sms4smile.com/quotes/i/95c/k-v-laurikainen-95313_archetypes_a-good-example-of-the-archetypal-ideas-w_2519825.jpg) [Download](https://sms4smile.com/quotes/i/95c/k-v-laurikainen-95313_archetypes_a-good-example-of-the-archetypal-ideas-w_2519825.jpg) [Open image](https://sms4smile.com/quotes/i/95c/k-v-laurikainen-95313_archetypes_a-good-example-of-the-archetypal-ideas-w_2519825.jpg) > ““A good example of the archetypal ideas which the archetypes produce are natural numbers or integers. With the aid of the integers the shaping and ordering of our experiences becomes exact. Another example is mathematical group theory. ...important applications of group theory are symmetries which can be found in most different connections both in nature and among the 'artifacts' produced by human beings. Group theory also has important applications in mathematics and mathematical physics. For example, the theory of elementary particles and their interactions can in essential respects be reduced to abstract symmetries. \[The Message of the Atoms: Essays on Wolfgang Pauli and the Unspeakable\]”” [K. V. Laurikainen](https://sms4smile.com/quotes/author/k-v-laurikainen/) ## About This Quote This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation. Mathematical structures like numbers and group theory reveal underlying natural symmetries and shape our experience. **In simple terms:** Math shows hidden symmetries in nature. Key Takeaway Explore mathematical patterns. Themes mathematics symmetry numbers group theory natural order Mood explanatory academic Type Archetypes:0 Atoms:0 Fine-structure-constant:0 Group-theory:1 History of science:0 Mathematics:1 Nature:1 Numbers:1 Symmetry:1 Wolfgang-pauli:0 Example Theory:0 Group Theory:1 Example Archetypal:0 Example Mathematical:0 Theory Symmetries:0 When to use this quote - May be too abstract for lay readers. Key Concepts physics abstract algebra pattern recognition philosophy of science Questions to Reflect On - curious - intellectual A Different Perspective How do symmetries influence reality?;What practical uses arise from group theory? ★ ★ ★ ★ ★ No ratings yet [Archetypes](https://sms4smile.com/quotes/about/archetypes/) [Atoms](https://sms4smile.com/quotes/about/atoms/) [Example Archetypal](https://sms4smile.com/quotes/about/example-archetypal-1240198/) [Example Mathematical](https://sms4smile.com/quotes/about/example-mathematical-1240200/) [Example Theory](https://sms4smile.com/quotes/about/example-theory-1240194/) [Fine-structure-constant](https://sms4smile.com/quotes/about/fine-structure-constant/) [Group Theory](https://sms4smile.com/quotes/about/group-theory-1240196/) [Group-theory](https://sms4smile.com/quotes/about/group-theory-76994/) [History of science](https://sms4smile.com/quotes/about/history-of-science/) [Mathematics](https://sms4smile.com/quotes/about/mathematics/) [Nature](https://sms4smile.com/quotes/about/nature/) [Numbers](https://sms4smile.com/quotes/about/numbers/) [Symmetry](https://sms4smile.com/quotes/about/symmetry/) [Theory Symmetries](https://sms4smile.com/quotes/about/theory-symmetries-1240202/) [Wolfgang-pauli](https://sms4smile.com/quotes/about/wolfgang-pauli-207872/) ## Related quotes > [“It is the dull and elementary parts of applied mathematics, as it is the dull and elementary parts of pure mathematics, that work for…](https://sms4smile.com/quotes/g-h-hardy-2/it-is-the-dull-and-elementary-parts-of-applied-mathematics-as-it-is/) [G.H. Hardy](https://sms4smile.com/quotes/author/g-h-hardy-2/) > [We may as well cut out group theory. That is a subject that will never be of any use in physics.](https://sms4smile.com/quotes/james-jeans/we-may-as-well-cut-out-group-theory-that-is-a-subject-that-will-never/) [James Jeans](https://sms4smile.com/quotes/author/james-jeans/) > [The importance of group theory was emphasized very recently when some physicists using group theory predicted the existence of a particle that had never…](https://sms4smile.com/quotes/irving-adler/the-importance-of-group-theory-was-emphasized-very-recently-when-some/) [Irving Adler](https://sms4smile.com/quotes/author/irving-adler/) > [Don't be an example in someone else's theory, write yours using your own examples.](https://sms4smile.com/quotes/anonymous/don-t-be-an-example-in-someone-else-s-theory-write-yours-using-your/) [Anonymous](https://sms4smile.com/quotes/author/anonymous/) > [There is no clear-cut distinction between example and theory](https://sms4smile.com/quotes/michael-atiyah/there-is-no-clear-cut-distinction-between-example-and-theory/) [Michael Atiyah](https://sms4smile.com/quotes/author/michael-atiyah/) > [“There was, for example, the theory that A'Tuin had come from nowhere and would continue at a uniform crawl, or steady gait, into nowhere,…](https://sms4smile.com/quotes/terry-pratchett/there-was-for-example-the-theory-that-a-tuin-had-come-from-nowhere/) [Terry Pratchett](https://sms4smile.com/quotes/author/terry-pratchett/) ## More by K. V. Laurikainen > [“The prime number 137 had continuously occupied Pauli's mind. It is an approximate value for a constant appearing in the fine structure theory of…](https://sms4smile.com/quotes/k-v-laurikainen/the-prime-number-137-had-continuously-occupied-pauli-s-mind-it-is-an/) [K. V. Laurikainen](https://sms4smile.com/quotes/author/k-v-laurikainen/) [Explore all 2 K. V. Laurikainen quotes ](https://sms4smile.com/quotes/author/k-v-laurikainen/) ## More Archetypes quotes > [“I would even go so far as to say that the mythical character of a life is just what expresses its universal human validity.…](https://sms4smile.com/quotes/c-g-jung/i-would-even-go-so-far-as-to-say-that-the-mythical-character-of-a/) [C.G. 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Shapes looming outside our…](https://sms4smile.com/quotes/guillermo-del-toro/any-legend-any-creature-any-symbol-we-ever-stumble-on-already-exists/) [Guillermo del Toro](https://sms4smile.com/quotes/author/guillermo-del-toro/) > [“A woman has her Juno, just as a man has his Genius; they are names for the sacred power, the divine spark we each…](https://sms4smile.com/quotes/ursula-k-le-guin/a-woman-has-her-juno-just-as-a-man-has-his-genius-they-are-names-for/) [Ursula K. Le Guin](https://sms4smile.com/quotes/author/ursula-k-le-guin/) > [There are many people making a difference. I mean, Dr. King never held an office. Gandhi never held an office. 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This will be a companion on your Tour. She is usually tall, thin and wiry, silent, and neurotic. Sex scares her. This…](https://sms4smile.com/quotes/diana-wynne-jones/female-mercenary-this-will-be-a-companion-on-your-tour-she-is-usually/) [Diana Wynne Jones](https://sms4smile.com/quotes/author/diana-wynne-jones/) > [By using the systems archetypes we can learn how to “structure” the details into a coherent picture of the forces at play.](https://sms4smile.com/quotes/peter-senge/by-using-the-systems-archetypes-we-can-learn-how-to-structure-the/) [Peter Senge](https://sms4smile.com/quotes/author/peter-senge/) > [The Gods and Goddesses of myth, legend and fairy tale represent archetypes, real potencies and potentialities deep within the psyche, which, when allowed to…](https://sms4smile.com/quotes/margot-adler/the-gods-and-goddesses-of-myth-legend-and-fairy-tale-represent/) [Margot Adler](https://sms4smile.com/quotes/author/margot-adler/) > [Most musicals are informed by very rigid archetypes. If you get a very sophisticated mind writing them, you sense something else, but it's a…](https://sms4smile.com/quotes/george-c-wolfe/most-musicals-are-informed-by-very-rigid-archetypes-if-you-get-a-very/) [George C. Wolfe](https://sms4smile.com/quotes/author/george-c-wolfe/) [Browse all 64 Archetypes quotes ](https://sms4smile.com/quotes/about/archetypes/) ```json { "@context": "https://schema.org", "@graph": [ { "@type": "Quotation", "text": "“A good example of the archetypal ideas which the archetypes produce are natural numbers or integers. With the aid of the integers the shaping and ordering of our experiences becomes exact. Another example is mathematical group theory. ...important applications of group theory are symmetries which can be found in most different connections both in nature and among the 'artifacts' produced by human beings. Group theory also has important applications in mathematics and mathematical physics. 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