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UC San Diego UC San Diego Electronic Theses and Dissertations
UC San Diego UC San Diego Electronic Theses and Dissertations Title Divination & Decision-Making: Ritual Techniques of Distributed Cognition in the Guatemalan Highlands Permalink https://escholarship.org/uc/item/2v42d4sh Author McGraw, John Joseph Publication Date 2016 Peer reviewed|Thesis/dissertation eScholarship.org Powered by the California Digital Library University of California UNIVERSITY OF CALIFORNIA, SAN DIEGO Divination and Decision-Making: Ritual Techniques of Distributed Cognition in the Guatemalan Highlands A dissertation submitted in partial satisfaction of the requirements for the degree of Doctor of Philosophy in Anthropology and Cognitive Science by John J. McGraw Committee in charge: Professor Steven Parish, Chair Professor David Jordan, Co-Chair Professor Paul Goldstein Professor Edwin Hutchins Professor Craig McKenzie 2016 Copyright John J. McGraw, 2016 All rights reserved. The dissertation of John J. McGraw is approved, and it is acceptable in quality and form for publication on microfilm and electronically: ___________________________________________________________ ___________________________________________________________ ___________________________________________________________ ___________________________________________________________ Co-chair ___________________________________________________________ Chair University of California, San Diego 2016 iii TABLE OF CONTENTS Signature Page …....……………………………………………………………… iii Table of Contents ………………….……………………………….…………….. iv List of Figures ….…………………………………………………….…….……. -
Arxiv:1601.03132V7 [Math.HO] 15 Nov 2018 [2]
Solution of the Mayan Calendar Enigma Thomas Chanier1∗ 1Independent researcher, 1025 12th avenue, Coralville, Iowa 52241, USA The Mayan calendar is proposed to derive from an arithmetical model of naked-eye astronomy. The Palenque and Copan lunar equations, used during the Maya Classic period (200 to 900 AD) are solution of the model and the results are expressed as a function of the Xultun numbers, four enigmatic Long Count numbers deciphered in the Maya ruins of Xultun, dating from the IX century AD, providing strong arguments in favor of the use of the model by the Maya. The different Mayan Calendar cycles can be derived from this model and the position of the Calendar Round at the mythical date of creation 13(0).0.0.0.0 4 Ahau 8 Cumku is calculated. This study shows the high proficiency of Mayan mathematics as applied to astronomy and timekeeping for divinatory purposes.a I. INTRODUCTION In the Calendar Round, a date is represented by αXβY with the religious month 1 ≤ α ≤ 13, X one of the 20 Mayan priests-astronomers were known for their astro- religious days, the civil day 0 ≤ β ≤ 19, and Y one of the nomical and mathematical proficiency, as demonstrated 18 civil months, 0 ≤ β ≤ 4 for the Uayeb. Fig. 1 shows a in the Dresden Codex, a XIV century AD bark-paper contemporary representation of the Calendar Round as book containing accurate astronomical almanacs aiming a set of three interlocking wheels: the Tzolk'in, formed to correlate ritual practices with astronomical observa- by a 13-month and a 20-day wheels and the Haab'. -
Redalyc.SOWING the STONE: SACRED GEOGRAPHY AND
Estudios de Cultura Maya ISSN: 0185-2574 [email protected] Centro de Estudios Mayas México Frühsorge, Lars SOWING THE STONE: SACRED GEOGRAPHY AND CULTURAL CONTINUITY. ECONOMY AMONG THE HIGHLAND MAYA OF GUATEMALA Estudios de Cultura Maya, vol. XLV, 2015, pp. 171-189 Centro de Estudios Mayas Distrito Federal, México Available in: http://www.redalyc.org/articulo.oa?id=281336894006 How to cite Complete issue Scientific Information System More information about this article Network of Scientific Journals from Latin America, the Caribbean, Spain and Portugal Journal's homepage in redalyc.org Non-profit academic project, developed under the open access initiative SOWING THE STONE: SACRED GEOGRAPHY AND CULTURAL CONTINUITY. ECONOMY AMONG THE HIGHLAND MAYA OF GUATEMALA LARS FRÜHSORGE University of Hamburg ABSTRACT: The functions of Classic Maya stelae as political monuments and as con- tainers for the “spiritual essence” of rulers are well known. In contrast, it has hardly been recognized that a similar ceremonial use of stones survived among the Highland Maya of Guatemala throughout the Postclassic and Colonial period into modern times. According to colonial sources the “souls” of deceased rulers were conserved in portable stones and guarded by high-ranking officials. Royal burial ceremonies included the erection of stone images representing the departed rulers as part of a sacred geography. Even among the modern Maya there is ritual featuring the “sowing” of a stone in a natural location which becomes linked to the life-force of a person. In a similar way different stone features —both natural and artificial— continue to play a role in various ceremonies related to the economic well-being or the demarcation of territories between competing communities. -
Republic of Guatemala Guatemala Is a Nation Rich in Almost Four Thousand Years of History
1 Dear Traveler, Our specific goals when we started Explore Guatemala in 2001 were: to share our love of exploring new places to make every aspect of our workshops/tours a “wow” to send travelers home itching to travel with us again It has been very rewarding to see our travel experience goals validated by our customers through their repeat business and workshop/tour evaluations! We personally love our chosen destinations. Currently with Ecuador and Guatemala, most of our venues are listed in the book, 1000 Places to See Before You Die, by Patricia Schultz. We have known these places well for many years and are eager to share them with you. We have selected routes, hotels, dining, and venues reflecting the uniqueness of each area we visit. Our hope is that you will return home with a lasting impression and rewarding memories of the colorful Maya and Inca cultures. ABOUT US All members of the Explore team understand local customs and business practices. We stay in the hotels, eat in the restaurants, and ride the transportation, personally experiencing every aspect of our travel workshops and tours. We know the “hidden treasures” as well as the little bits of information only the locals know. Our experience, relationships, and knowledge of the country allow us to provide a worry-free, life enriching travel adventure, providing a deeper understanding of the way of life, the cultures, nature and societies; in short, we will show you the real Guatemala and Ecuador in a way very few travelers experience. 2 Explore’s Original Company Founders Anita Rogers (Korte) who speaks fluent Spanish, lived in Guatemala for 25 years, started her own business there, and was a collector of Maya weavings as well as Spanish Colonial art and antiques. -
Maya Math, Maya Indians and Indian Maya
MAYA MATH, MAYA INDIANS AND INDIAN MAYA: REFLECTIONS ON NUMBERS, HISTORY AND RELIGION By Abdul Hai Khalid Professor Department of Mathematics Niagara College, Welland, Ontario, Canada Summary The Maya culture of Central America invented an advanced, base-20, place value based number system, using a symbol for zero, almost at the same time as our, base-10, ‘Hindu-Arabic’ numerals were invented in India. This presentation describes the Maya number system and places it in the historical context of the development of other number systems around the world, e.g., Egyptian, Roman, Mesopotamian, Chinese and Indian etc. The ease, or difficulty, of the basic arithmetic operations, in different number systems, is discussed. The history of the spread of the ‘Hindu-Arabic’ numerals from India to the Middle East to Europe is described. The implications of an advanced number system on the philosophies, religions and world-views of different cultures are discussed. Contents Who are the Maya? Maya Mathematics Maya Calendar Number Systems Around the World Additive Multiplicative Place Value Based Spread of Indian Numerals Numbers, History and Religion WHO are maya ? Maya people live in southern Mexico and the central American countries of Guatemala, Belize, Honduras and El Salvador. Ancient Maya culture flourished in this area between 1000 B.C. and 1000 A.D. The ruins of many ancient Maya cities have been found in this area. Some of these are Chichen Itza, Coba, Tulum, Palenque and Tikal etc. These cities contain pyramids, temples, palaces, ball courts -
The Amazing Twins
1 Table of Contents Table of Contents Themes Page 2 Booklist Page 3 Maya: Ancient and Modern Page 5 Life Among the Maya Page 6 Questions and Activities Page 7 Maya Religion Page 8 Mayan Language Page 10 Go Down in History Page 12 Glyph Chart Page 14 Maya Math Page 16 Document Your Birthday Page 24 Maya Huipiles Page 28 Maya Figurines Page 31 The Maya Ball Game Page 32 Literature and Story Page 33 Popol Wuj: Part One Page 34 Popol Wuj: Part Two Page 36 Popol Wuj: Part Three Page 39 Chilam Balam of Chumayel Page 41 Presented by the Nashville Public Library and Vanderbilt Center for Latin American Studies 2 The Amazing Twins Themes to build on from the story Creation Stories The Ancient Maya Modern Life of the Maya Glyphs and Symbolic Writing Archeology Maya Architecture Clothing and Culture Weaving Class and the Structures of Society History of Food Folktales and Mythology Maya Ball Games Numeration and Maya Math Illustrations/Artwork Storytelling Puppets and Puppetry Presented by the Nashville Public Library and the Vanderbilt Center for Latin American Studies 3 Books from the Nashville Public Library Allan, Tony Gods of Sun and Sacrifice: Aztec & Maya Myth j299.792 A418g Ancona, George Mayeros: A Yucatec Maya Family j972.6 A54m Brill, Marlene Targ Journey for Peace JB M536b Cameron, Ann Colibri Spanish YA Fiction Cameron Coulter, Laurie Secrets in Stone j497.415 C85526s Crandell, Rachel Hands of the Maya: Villagers at Work and Play j972.83 C8912h Crosher, Judith Technology in the Time of the Maya j609.72 C94t Day, Nancy Your Travel Guide to Ancient Maya Civilization j972.81016 D2747y Eboch, Chris Life Among the Maya j972.81 E167L The Well of Sacrifice JUV Fiction Eboch Fisher, Leonard E. -
Non-Power Positional Number Representation Systems, Bijective Numeration, and the Mesoamerican Discovery of Zero
Non-Power Positional Number Representation Systems, Bijective Numeration, and the Mesoamerican Discovery of Zero Berenice Rojo-Garibaldia, Costanza Rangonib, Diego L. Gonz´alezb;c, and Julyan H. E. Cartwrightd;e a Posgrado en Ciencias del Mar y Limnolog´ıa, Universidad Nacional Aut´onomade M´exico, Av. Universidad 3000, Col. Copilco, Del. Coyoac´an,Cd.Mx. 04510, M´exico b Istituto per la Microelettronica e i Microsistemi, Area della Ricerca CNR di Bologna, 40129 Bologna, Italy c Dipartimento di Scienze Statistiche \Paolo Fortunati", Universit`adi Bologna, 40126 Bologna, Italy d Instituto Andaluz de Ciencias de la Tierra, CSIC{Universidad de Granada, 18100 Armilla, Granada, Spain e Instituto Carlos I de F´ısicaTe´oricay Computacional, Universidad de Granada, 18071 Granada, Spain Keywords: Zero | Maya | Pre-Columbian Mesoamerica | Number rep- resentation systems | Bijective numeration Abstract Pre-Columbian Mesoamerica was a fertile crescent for the development of number systems. A form of vigesimal system seems to have been present from the first Olmec civilization onwards, to which succeeding peoples made contributions. We discuss the Maya use of the representational redundancy present in their Long Count calendar, a non-power positional number representation system with multipliers 1, 20, 18× 20, :::, 18× arXiv:2005.10207v2 [math.HO] 23 Mar 2021 20n. We demonstrate that the Mesoamericans did not need to invent positional notation and discover zero at the same time because they were not afraid of using a number system in which the same number can be written in different ways. A Long Count number system with digits from 0 to 20 is seen later to pass to one using digits 0 to 19, which leads us to propose that even earlier there may have been an initial zeroless bijective numeration system whose digits ran from 1 to 20. -
Valladolid Maya Enumeration
SMITHSONIAN INSTITUTION Bureau of American Ethnology BuUetin 164 Anthropological Papers, No. 54 VALLADOLID MAYA ENUMERATION By JOHN P. HARRINGTON 241 370929—67 19 CONTENTS PAGE The language recorded in hieroglyphic writing 245 Phonetic and terminological digression 246 Maj^a enumeration employs the score system 247 Description from higher numeral of prominence 248 History of the study of Maya enumeration 249 The four anomalies of Beltrdn's nonchronological system 250 "High" numeral series of numerals "ascending" 250 Cardinals 251 The use of the fingers in counting 251 Some numerals have the larger number first, some the smaller 252 Spanish influence 252 Some ancient words survive through mere chance 252 The cardinals from 1 to 19 253 General remarks 253 List 253 The cardinals from 20 to the highest enumeration 254 General remarks 254 List 255 The use of "and" in cardinals 256 Zero 25 6 Fractionals 257 Group cardinals 257 Ordinals 257 Classifiers 259 Major cardinal classifiers 260 Multiplication classifiers 261 Multiphcative ordinal classifier 261 G eneral classifiers 261 Measure classifiers 263 Distance-measure classifiers 264 Area-measure classifiers 265 Quantity-measure classifiers 266 Firewood-measure classifiers 266 Liquid-measure classifiers 267 Time-measure classifiers 267 *winaal, 18-day month 269 13-day fortnight 271 u, moon, lunar month 271 tsol k'in, 260-day year 271 tun, 360-day year 272 haab, 365-day year 272 The Venus year 272 Subdivision of the *k'atun 273 *k'atun or *k'ink'atun, 20-tun period 274 52-tun period 274 *ahawk'atun, or *wak'atun, 260-tun period 274 Sun orbit year 275 Infinity 275 The four mathematical processes 275 Exactly, approximately 276 Numeroids 276 Literature used 276 243 VALLADOLID MAYA ENUMERATION By John P. -
UNIVERSITY of CALIFORNIA, SAN DIEGO Divination and Decision
UNIVERSITY OF CALIFORNIA, SAN DIEGO Divination and Decision-Making: Ritual Techniques of Distributed Cognition in the Guatemalan Highlands A dissertation submitted in partial satisfaction of the requirements for the degree of Doctor of Philosophy in Anthropology and Cognitive Science by John J. McGraw Committee in charge: Professor Steven Parish, Chair Professor David Jordan, Co-Chair Professor Paul Goldstein Professor Edwin Hutchins Professor Craig McKenzie 2016 Copyright John J. McGraw, 2016 All rights reserved. The dissertation of John J. McGraw is approved, and it is acceptable in quality and form for publication on microfilm and electronically: ___________________________________________________________ ___________________________________________________________ ___________________________________________________________ ___________________________________________________________ Co-chair ___________________________________________________________ Chair University of California, San Diego 2016 iii TABLE OF CONTENTS Signature Page …....……………………………………………………………… iii Table of Contents ………………….……………………………….…………….. iv List of Figures ….…………………………………………………….…….……. vii List of Tables …......……………………………………………………………… viii List of Maps ………………………………………………………….……….…. ix Acknowledgments …..………………………………………..………………….. x Vita .………………….………………………………….………..……………… xiii Abstract of the Dissertation ..……………………………………………………. xv Chapter 1: INTRODUCTION …….………………………………..................... 1 Theoretical Background …………….…………..….……………… 2 Distributed Cognition -
From the Aztecs Their Tax Systems; of The
From the Aztecs Their Tax Systems; Of the Incas Their Accounts, And of the Mayas Their Scripture; The Outcome is the Pre-Columbian Accounting (*) Reynaldo Frausto Mena Instituto Politécnico Nacional, Mexico Abstract On this occasion, I speak as three of the greatest Pre-Columbian cultures they let us different legacies that manifest such as a whole they exercised their accounting, primarily over who and in what form they practiced this. Also I will expose of the three different Pre-Columbian cultures, both at space and in time, such as: The Azteca (Mexico), The Inca (Peru), and The Maya (Mexico, Guatemala, Belize, Honduras and El Salvador). I discuss of these Pre-Columbian cultures from these three populations who are to talk about at that time they were very brilliant, as distinguished from other by their systems, same that empires reached to form genuine. The Aztecs bequeathed us their taxation systems,were the last in arriving Valley of Mexico where they established the capital of Tenochtitlan (1325). Kingdom which dominated cultural and politically Mesoamerica Over the fourteenth century and first quarter of sixteenth They were located within the geographical area that corresponds to southern half of the contemporary Mexico, where he developed a great cultural activity since approximately 2000 BC. In this region lived in various towns, some of whom us are all left their thriving culture as in the case of the archaeological remains the City of Teotihuacan, and uninhabited when the Spanish arrived. (*) Bu Araştırma, 19-22 Haziran 2013 tarihinde İstanbul’da yapılan 3rd International Conference on Luca Pacioli in Accounting History’de ve 3rd Balkans and Middle East Countries Conference on Accounting and Accounting History (3 BMAC) Konferansı’nda bildiri olarak sunulmuştur. -
Indigenousness and the Reconstruction of the Other In
INDIGENOUSNESS AND THE RECONSTRUCTION OF THE OTHER IN GUATEMALAN INDIGENOUS LITERATURE by Rita M. Palacios A thesis submitted in conformity with the requirements for the degree of Doctor of Philosophy, Department of Spanish, University of Toronto. © Copyright by Rita M. Palacios, 2009. Library and Archives Bibliothèque et Canada Archives Canada Published Heritage Direction du Branch Patrimoine de l’édition 395 Wellington Street 395, rue Wellington Ottawa ON K1A 0N4 Ottawa ON K1A 0N4 Canada Canada Your file Votre référence ISBN: 978-0-494-61048-0 Our file Notre référence ISBN: 978-0-494-61048-0 NOTICE: AVIS: The author has granted a non- L’auteur a accordé une licence non exclusive exclusive license allowing Library and permettant à la Bibliothèque et Archives Archives Canada to reproduce, Canada de reproduire, publier, archiver, publish, archive, preserve, conserve, sauvegarder, conserver, transmettre au public communicate to the public by par télécommunication ou par l’Internet, prêter, telecommunication or on the Internet, distribuer et vendre des thèses partout dans le loan, distribute and sell theses monde, à des fins commerciales ou autres, sur worldwide, for commercial or non- support microforme, papier, électronique et/ou commercial purposes, in microform, autres formats. paper, electronic and/or any other formats. The author retains copyright L’auteur conserve la propriété du droit d’auteur ownership and moral rights in this et des droits moraux qui protège cette thèse. Ni thesis. Neither the thesis nor la thèse ni des extraits substantiels de celle-ci substantial extracts from it may be ne doivent être imprimés ou autrement printed or otherwise reproduced reproduits sans son autorisation. -
Educator's Guide
EDUCATOR’S GUIDE 3260 South Street Philadelphia, PA 19104 www.penn.museum www.penn.museum/Maya2012 A ACKNOWLEDGMENTS MAYA 2012: LORDS OF TIME is presented by the Penn Museum in partnership with the Instituto Hondureño de Antropologia e Historia of the Republic of Honduras. The exhibition is made possible in part by a major grant from The National Endowment for the Humanities, Exploring the human endeavor, and additional lead support from the Annenberg Foundation, the Jay I. Kislak Foundation, and the Selz Foundation. Partner- ing underwriters are Mrs. Louis C. Madeira IV, in honor of Dr. Peter D. Harrison, and A. Bruce and Margaret Mainwaring. Education partners include Aker Shipyard, The Chris- tian R. and Mary F. Lindback Foundation, Annette Merle-Smith, PNC Foundation, and the Malcolm Hewitt Wiener Foundation. Special thanks to Anthony Aveni, Susan Braccia, Jean Byrne, Mary Ann Casey, Erin Erb Jensen, Allison Francies, Jane Hickman, Christina Jones, Anne Marie Kane, Simon Mar- tin, Jim Mathieu, Julia McMeans, Jennifer McAuley, Christine Mikus, Tara Poag, Sandra Portnoy, Kate Quinn, Jennifer Reifsteck, Nicole Roper, Robert Sharer, Kevin Schott, The Philadelphia Inquirer and News in Education, and Loa Traxler for their assistance in producing, editing, designing, and publishing this Guide. The exhibition is presented in partnership with the Instituto Hondureño de Antropologia e Historia of the Republic of Honduras. It is made possible by a major grant from The National Endowment for the Humanities, Exploring the human endeavor, and additional