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Journal articles on the topic 'Prehistoric mathematics'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Petruso, Karl M. "Additive progression in prehistoric mathematics: A conjecture." Historia Mathematica 12, no. 2 (1985): 101–6. http://dx.doi.org/10.1016/0315-0860(85)90001-1.

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Oosterbeek, Luiz. "Archaeographic and conceptual advances in interpreting Iberian Neolithisation." Documenta Praehistorica 31 (December 31, 2004): 83–87. http://dx.doi.org/10.4312/dp.31.6.

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Prehistoric research has evolved, in the last decade, from a mere collaboration of disciplines into a new, trans-disciplinary, approach to Prehistoric contexts. New stable research teams, involving researchers with various scientific backgrounds (geology, botanic, anthropology, history, mathematics, geography, etc.) working together, have learned their diversified "vocabularies" and methodologies. As a main result, a more holistic approach to Prehistory is to be considered. Previous models of the Neolithic on the Atlantic side of Iberia were focused on material culture and strict economics (th

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Mersin, Nazan, Mehmet Akif Karabörk, and Soner Durmuş. "Awareness of Preservice Mathematics Teachers about Prehistoric and Ancient Number Systems." Malikussaleh Journal of Mathematics Learning (MJML) 3, no. 2 (2020): 57. http://dx.doi.org/10.29103/mjml.v3i2.2904.

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This study seeks to analyse the awareness of the pre-service teachers on the counting methods, systems and tools used in the prehistoric method and the Ancient period and to examine the distribution of this awareness by gender. A total of 42 sophomore-level students studying at a university in the Western Black Sea region, Turkey, participated in this exploratory case study. The data were obtained through a form consisting of 6 questions, one of which is open-ended, after the 14-week course of history of mathematics. The data collection tool included questions on the counting methods used in t

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Knorr, W. R. "The Geometer and the Archaeoastronomers: On the Prehistoric Origins of Mathematics." British Journal for the History of Science 18, no. 2 (1985): 197–212. http://dx.doi.org/10.1017/s0007087400022111.

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Prof. Sharayu Waghmare. "Vedic Multiplier Implementation for High Speed Factorial Computation." International Journal of New Practices in Management and Engineering 1, no. 04 (2012): 01–06. http://dx.doi.org/10.17762/ijnpme.v1i04.8.

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Vedic Mathematics arise from the prehistoric classification of Indian mathematics that was recreated by Tirthaji. Ancient mathematical operations are depending on sixteen methods. In this article, a new VLSI architecture to compute factorial of the given number with Vedic based multiplier is proposed. Simulations are performed using Xilinx ISE 14.2. Effective comparative analysis is made with existing multipliers to prove the momentous development in competence and high speed operation. This efficient multiplier is implemented in the proposed factorial architecture which significantly reduces

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Schlaudt, Oliver. "Type and Token in the Prehistoric Origins of Numbers." Cambridge Archaeological Journal 30, no. 4 (2020): 629–46. http://dx.doi.org/10.1017/s0959774320000165.

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The type–token distinction and the notion of ‘tokenization’ are proposed as analytical tools that may help us understand better the emergence of numbers and mathematical thinking from the non-mathematical cultural practices of the Upper Palaeolithic such as painting, decorating portable objects, or making ornaments from beads, as described in recent studies in cognitive archaeology. While the type–token distinction has been a salient element in recent debates in the philosophy of mathematics, it seems not yet to have been registered in those areas of cognitive archaeology concerned with number

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Mann, Tony. "From prehistoric balls to contemporary fiction: what the history of mathematics has done for me." BSHM Bulletin: Journal of the British Society for the History of Mathematics 27, no. 2 (2012): 73–81. http://dx.doi.org/10.1080/17498430.2012.660365.

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Lipovetsky, Stan. "Prehistoric Warfare and Violence: Quantitative and Qualitative Approaches." Technometrics 62, no. 1 (2020): 132–35. http://dx.doi.org/10.1080/00401706.2019.1708674.

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Wang, Qiying, Yan-Xia Lin, and Chandra Gulati. "Asymptotics for general nonstationary fractionally integrated processes without prehistoric influence." Journal of Applied Mathematics and Decision Sciences 6, no. 4 (2002): 255–69. http://dx.doi.org/10.1155/s1173912602000184.

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This paper derives a functional limit theorem for general nonstationary fractionally integrated processes having no influence from prehistory. Asymptotic distributions of sample autocovariances and sample autocorrelations based on these processes are also investigated. The problem arises naturally in discussing fractionally integrated processes when the processes starts at a given initial date.

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Wang, Qiying, Yan-Xia Lin, and Chandra Gulati. "Asymptotics for General Nonstationary Fractionally Integrated Processes Without Prehistoric Influence." Journal of Applied Mathematics and Decision Sciences 6, no. 4 (2002): 255–69. http://dx.doi.org/10.1207/s15327612jamd0604_6.

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Valladas, H. l. ne. "Direct radiocarbon dating of prehistoric cave paintings by accelerator mass spectrometry." Measurement Science and Technology 14, no. 9 (2003): 1487–92. http://dx.doi.org/10.1088/0957-0233/14/9/301.

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Michałowski, A., P. Niedzielski, L. Kozak, M. Teska, K. Jakubowski, and M. Żółkiewski. "Archaeometrical studies of prehistoric pottery using portable ED-XRF." Measurement 159 (July 2020): 107758. http://dx.doi.org/10.1016/j.measurement.2020.107758.

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13

Treloar, A. "The Nostratic Theory." Antichthon 33 (November 1999): 99–109. http://dx.doi.org/10.1017/s0066477400002367.

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The Nostratic Theory was first proposed by the Danish scholar, H. Pedersen, at the beginning of this century. He had observed certain similarities between Indo-European and Semitic and saw these two families of languages as belonging to our territory around mare nostrum and hence his name for this group.Speakers of Finno-Ugrian languages were surprised that Indo-Europeanists after working on the comparative philology of IE should turn next to Semitic, but the interest in Arabic as the preserver of Greek mathematics and science and Hebrew as the language of the Old Testament inevitably suggeste

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Riebe, Danielle J., János Dani, Attila Gyucha, et al. "Csökmő–Káposztás-domb késő újkőkori (herpályi) településkomplexumának kutatása (Előzetes eredmények)." Magyar Régészet 12, no. 3 (2023): 1–13. http://dx.doi.org/10.36245/mr.2023.3.1.

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Az elmúlt évszázad régészeti kutatásai nyomán összetett kép rajzolódott ki a mai Délkelet-Magyarország területének őskoráról, megtartva – legalábbis bizonyos mértékig – a korai kutatás által felvázolt régészeti kultúrák tagolását és főbb ismertetőjegyeit. Nem kivétel ez alól az Alföld kései újkőkorának (kb. Kr.e. 5000–4500) kutatása sem. A legutóbbi idők tudományos együttműködésben megvalósuló régészeti projektjei ugyanakkor nagyban átformálták és finomították a régészeti kultúrához és az azt meghatározó jelenségekhez kapcsolódó hagyományos elképzelést. Jelen cikk a Prehistoric Interactions on

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Dzbyński, Aleksander. "Some remarks on number concept development in the Near East and Europe." Archaeological Dialogues 23, no. 1 (2016): 71–92. http://dx.doi.org/10.1017/s138020381600009x.

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AbstractIn this article I outline the analogies and the differences in number concept development in prehistoric Europe and in the Near East. Research on Near Eastern recording systems is far more advanced, and it provides us with a good theoretical approach. There are, however, more and more finds in Europe that deserve our attention when looking toward a theory of early number concepts, concepts of measure and mathematics. For archaeologists, there is an obvious requirement that such a theory has to be constructed on a material basis. Therefore in the second part of the text I describe some

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Ardila, A. "Historical Evolution of Spatial Abilities." Behavioural Neurology 6, no. 2 (1993): 83–87. http://dx.doi.org/10.1155/1993/567986.

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Historical evolution and cross-cultural differences in spatial abilities are analyzed. Spatial abilities have been found to be significantly associated with the complexity of geographical conditions and survival demands. Although impaired spatial cognition is found in cases of, exclusively or predominantly, right hemisphere pathology, it is proposed that this asymmetry may depend on the degree of training in spatial abilities. It is further proposed that spatial cognition might have evolved in a parallel way with cultural evolution and environmental demands. Contemporary city humans might be u

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Et.al, Baharuddin Jabar. "Mastery Level of Historical Thinking Skills (KPS) among Form Two Students." Turkish Journal of Computer and Mathematics Education (TURCOMAT) 12, no. 3 (2021): 281–85. http://dx.doi.org/10.17762/turcomat.v12i3.665.

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This study aimed to explore the Historical Thinking Skills among Form Two students. This study involved five aspects of the historical thinking skills: understanding chronology, exploring evidence, making interpretations, imagining and rationalizing while the focus of content standard referred to the four Content Standards in DSKP KSSM Form One History subject which are Introduction to Knowledge of History, Prehistoric Age, Ice Age and World Civilization and Its Contributions. The research instrument used in this study was a set of questionnaires in a form of multiple choice objective items ab

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Diachenko, Aleksandr. "Geographic determinism and Trypillia contact networks, c. 3600 – 3400 BC." VITA ANTIQUA 10 (December 20, 2018): 126–34. https://doi.org/10.37098/2519-4542-2018-1-10-126-134.

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Geographic determinism causes the unequal informative potential of archaeological records. Preservation of artefacts made of different raw materials, especially organics, varies from region to region and from one period to the other. Unlike wetland sites with their assemblages of archaeological data, ecofacts, detailed absolute chronologies, settlements belonging to numerous cultural units of prehistoric Europe are characterized by significant gaps in representation of the remote past in material remains preserved till nowadays. This requi

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Putriani, Ranti, Mohammad Mukhtasar Syamsuddin, and Hardono Hadi. "The Philosophical Criticism Towards the Scientific Determination of Time-of-Death." European Journal of Theology and Philosophy 2, no. 6 (2022): 26–33. http://dx.doi.org/10.24018/theology.2022.2.6.87.

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Determination of time-of-death is closely related to the mortality criteria. In prehistoric times, the criteria of death were narrated through the event of the body being evacuated from the spirit or soul leaving the human body. Along with the development of science in the modern era, scientists argue the criteria of biological death and clinical death. This study projected to critically philosophically analyze the time-of-death determination related to scientific criteria. The methods used in the data analysis stage were historical, hermeneutic, comparative, and critical reflection. The resul

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Papamarinopoulos, S. P. "ATLANTIS IN SPAIN V." Bulletin of the Geological Society of Greece 43, no. 1 (2017): 138. http://dx.doi.org/10.12681/bgsg.11168.

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Following strictly Plato’s information we reach Iberia and there we discovered the basic geomorphological characteristics of a horseshow shape flat and elongated basin which is surrounded by mountains. The basin reaches the Atlantic Ocean. This valley is Andalusia and it was missed by Herodotus and Hecateus, who lived a century earlier than Plato, and constructed North West Europe’s map. The Iberian civilization is reflected in the Greek myths prior to Plato too. Atlantis’ catastrophe in the shape of the concentric scheme’s, being in Iberia’s coast, was realized by earthquakes and a tsunami. T

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Arabadjis, D., P. Rousopoulos, C. Papaodysseus, M. Exarhos, M. Panagopoulos, and L. Papazoglou-Manioudaki. "Optimization in Differentiable Manifolds in Order to Determine the Method of Construction of Prehistoric Wall Paintings." IEEE Transactions on Pattern Analysis and Machine Intelligence 33, no. 11 (2011): 2229–44. http://dx.doi.org/10.1109/tpami.2011.65.

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22

ERDEM, ESRA, VLADIMIR LIFSCHITZ, and DON RINGE. "Temporal phylogenetic networks and logic programming." Theory and Practice of Logic Programming 6, no. 5 (2006): 539–58. http://dx.doi.org/10.1017/s1471068406002729.

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The concept of a temporal phylogenetic network is a mathematical model of evolution of a family of natural languages. It takes into account the fact that languages can trade their characteristics with each other when linguistic communities are in contact, and also that a contact is only possible when the languages are spoken at the same time. We show how computational methods of answer set programming and constraint logic programming can be used to generate plausible conjectures about contacts between prehistoric linguistic communities, and illustrate our approach by applying it to the evoluti

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23

Quarta, Gianluca, Aprile Giorgia, Elettra Ingravallo, Ida Tiberi, and Lucio Calcagnile. "Radiocarbon dates and XRF analyses from two prehistoric contexts in the Badisco area (Otranto –Le)." Measurement 125 (September 2018): 279–83. http://dx.doi.org/10.1016/j.measurement.2018.04.093.

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24

Esquivel, Francisco Javier, José Antonio Esquivel, Antonio Morgado, José L. Romero-Béjar, and Luis F. García del Moral. "Preprocessing of Spectroscopic Data Using Affine Transformations to Improve Pattern-Recognition Analysis: An Application to Prehistoric Lithic Tools." Mathematics 10, no. 22 (2022): 4250. http://dx.doi.org/10.3390/math10224250.

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The analysis of spectral reflectance data is an important tool for obtaining relevant information about the mineral composition of objects and has been used for research in chemistry, geology, biology, archaeology, pharmacy, medicine, anthropology, and other disciplines. In archaeology, the use of spectroscopic data allows us to characterize and classify artifacts and ecofacts, to analyze patterns, and to study the exchange of materials, etc., as well as to explain some properties, such as color or post-depositional processes. The spectroscopic data are of the so-called “big data” type and mus

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Lee, Rob, Philip Jonathan, and Pauline Ziman. "Pictish symbols revealed as a written language through application of Shannon entropy." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 466, no. 2121 (2010): 2545–60. http://dx.doi.org/10.1098/rspa.2010.0041.

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Many prehistoric societies have left a wealth of inscribed symbols for which the meanings are lost. For example, the Picts, a Scottish, Iron Age culture, left a few hundred stones expertly carved with highly stylized petroglyph symbols. Although the symbol scripts are assumed to convey information, owing to the short (one to three symbols), small (less than 1000 symbols) and often fragmented nature of many symbol sets, it has been impossible to conclude whether they represent forms of written language. This paper reports on a two-parameter decision-tree technique that distinguishes between the

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BRIOLA, DANIELA, VIVIANA MASCARDI, and MASSIMILIANO GIOSEFFI. "OntoScene, A Logic-Based Scene Interpreter: Implementation and Application in the Rock Art Domain." Theory and Practice of Logic Programming 20, no. 4 (2020): 456–511. http://dx.doi.org/10.1017/s1471068419000462.

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AbstractWe present OntoScene, a framework aimed at understanding the semantics of visual scenes starting from the semantics of their elements and the spatial relations holding between them. OntoScene exploits ontologies for representing knowledge and Prolog for specifying the interpretation rules that domain experts may adopt, and for implementing the SceneInterpreter engine. Ontologies allow the designer to formalize the domain in a reusable way and make the system modular and interoperable with existing multiagent systems, while Prolog provides a solid basis to define complex rules of interp

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Mithen, Steven. "The domestication of water: water management in the ancient world and its prehistoric origins in the Jordan Valley." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 368, no. 1931 (2010): 5249–74. http://dx.doi.org/10.1098/rsta.2010.0191.

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The ancient civilizations were dependent upon sophisticated systems of water management. The hydraulic engineering works found in ancient Angkor (ninth to thirteenth century AD), the Aztec city of Tenochtitlan (thirteenth to fifteenth century AD), Byzantine Constantinople (fourth to sixth century AD) and Nabatean Petra (sixth century BC to AD 106) are particularly striking because each of these is in localities of the world that are once again facing a water crisis. Without water management, such ancient cities would never have emerged, nor would the urban communities and towns from which they

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Price, Simon J., Jonathan R. Ford, Anthony H. Cooper, and Catherine Neal. "Humans as major geological and geomorphological agents in the Anthropocene: the significance of artificial ground in Great Britain." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 369, no. 1938 (2011): 1056–84. http://dx.doi.org/10.1098/rsta.2010.0296.

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Since the first prehistoric people started to dig for stone to make implements, rather than pick up loose material, humans have modified the landscape through excavation of rock and soil, generation of waste and creation of artificial ground. In Great Britain over the past 200 years, people have excavated, moved and built up the equivalent of at least six times the volume of Ben Nevis. It is estimated that the worldwide deliberate annual shift of sediment by human activity is 57 000 Mt (million tonnes) and exceeds that of transport by rivers to the oceans (22 000 Mt) almost by a factor of thre

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Cioancă, Costel. "Limba păsărilor în basmul fantastic românesc." Anuarul Muzeului Etnograif al Transilvaniei 36 (December 20, 2022): 35–50. http://dx.doi.org/10.47802/amet.2020.36.03.

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The idea of a primordial language, spoken / understood by both man and animals, a secret language to be given by consecration / initiation only to the chosen one and which offers the initiate a higher type of knowledge, fascinated. Present in the myths, stories and literature of the world, such a language would represent „the key to access to the ancient memory of a culture and a civilization still largely unknown” (Ph. Walter). When approaching this subject, the specialists speak, without a doubt, of a prehistoric language, born and used long before the Indo‑European`s historical language: a

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Chaijalearn, Yuttana, Vijitkr Khamrat, Juthamas Sukyaeng, Anodar Ratchawet, and Thanin Intharavisit. "Developing a STEM Curriculum Through the Community History of Ban Prohm Thin Tai to Enhance the Ability to be a Tour Guide and the Local Consciousness of Elementary School Students." Higher Education Studies 14, no. 4 (2024): 133. http://dx.doi.org/10.5539/hes.v14n4p133.

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The objective of this research is 1) To study in-depth knowledge about the historical context of the Ban Prohm Thin Tai community, 2) To design an educational management approach a STEM Curriculum through the community history of Ban Prohm Thin Tai to enhance the ability to be a tour guide and the local consciousness of Elementary School students, and 3) To study the outcomes of using the community-based historical education approach through the STEM Curriculum through the community history of Ban Prohm Thin Tai to enhance the ability to be a tour guide and the local consciousness of Elementar

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Deeming, K. R., B. McGuire, and P. Harrop. "Climate forcing of volcano lateral collapse: evidence from Mount Etna, Sicily." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 368, no. 1919 (2010): 2559–77. http://dx.doi.org/10.1098/rsta.2010.0054.

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In this study, we present evidence for early Holocene climatic conditions providing circumstances favourable to major lateral collapse at Mount Etna, Sicily. The volcano’s most notable topographic feature is the Valle del Bove, a 5×8 km cliff-bounded amphitheatre excavated from the eastern flank of the volcano. Its origin due to prehistoric lateral collapse is corroborated by stürtzstrom deposits adjacent to the amphitheatre’s downslope outlet, but the age, nature and cause of amphitheatre excavation remain matters for debate. Cosmogenic 3 He exposure ages determined for eroded surfaces within

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Freire, Renan Passos, Jorge Enrique Hernandez-Gonzalez, Eliana Rosa Lima, et al. "Molecular Cloning and AlphaFold Modeling of Thyrotropin (ag-TSH) From the Amazonian Fish Pirarucu (Arapaima gigas)." Bioinformatics and Biology Insights 17 (January 2023): 117793222311541. http://dx.doi.org/10.1177/11779322231154148.

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Arapaima gigas, known as Pirarucu in Brazil, is one of the largest freshwater fish in the world. Some individuals could reach 3 m in length and weight up to 200 kg. Due to extinction risks and its economic value, the species has been a focus for preservation and reproduction studies. Thyrotropin (TSH) is a glycoprotein hormone formed by 2 subunits α and β whose main activity is related to the synthesis of thyroid hormones (THs)—T3 and T4. In this work, we present a combination of bioinformatics tools to identify Arapaima gigas βTSH (ag-βTSH), modeling its molecular structure and express the re

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Radivojević, M., and J. Grujić. "Community structure of copper supply networks in the prehistoric Balkans: An independent evaluation of the archaeological record from the 7th to the 4th millennium BC." Journal of Complex Networks 6, no. 1 (2017): 106–24. http://dx.doi.org/10.1093/comnet/cnx013.

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Zubko, Andrii. "YSTEM OF WEIGHT MEASURES IN GREAT BRITAIN, THE COUNTRIES OF NORTH AMERICA AND OCEANIA." Ethnic History of European Nations, no. 72 (2024): 30–48. http://dx.doi.org/10.17721/2518-1270.2024.72.04.

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The territory of the islands of Britain and Ireland was inhabited by people in prehistoric times. Numerous megalithic monuments remain from this culture. In the first millennium BC, Celtic tribes moved there from continental Europe, who later mixed with the local population. The maritime trade of the ancient civilisations of the Mediterranean with the population of the British Isles is reported by some historical sources of the antiquity. This trade was conducted by exchanging goods for goods. There is no information in historical sources about the measures, in particular weights, used by the

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Kamareddine, Fairouz, Twan Laan, and Rob Nederpelt. "Types in Logic and Mathematics Before 1940." Bulletin of Symbolic Logic 8, no. 2 (2002): 185–245. http://dx.doi.org/10.2178/bsl/1182353871.

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AbstractIn this article, we study the prehistory of type theory up to 1910 and its development between Russell and Whitehead's Principia Mathematica ([71], 1910–1912) and Church's simply typed λ-calculus of 1940. We first argue that the concept of types has always been present in mathematics, though nobody was incorporating them explicitly as such, before the end of the 19th century. Then we proceed by describing how the logical paradoxes entered the formal systems of Frege, Cantor and Peano concentrating on Frege's Grundgesetze der Arithmetik for which Russell applied his famous paradox and t

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Prendergast, Frank. "The Meaning of Dark, Light and Shadows: Inferences in Art, Materiality and Cultural Practices." Culture and Cosmos 26, no. 01 (2022): 3–32. http://dx.doi.org/10.46472/cc.0126.0201.

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Our visual awareness relies on light acting on the eye to perceive materiality and colour. Medieval thought wrestled to articulate and comprehend its nature. The notebooks of Leonardo Da Vinci, for example, included his descriptions to define light and make comparisons so as to differentiate between light and shadow. His focus was on the illumination of surfaces from the perspective of a painter, seeing shadows as ‘the diminution of light by the intervention of an opaque body’ and ‘the counterpart of luminous rays’. In his mind, a shadow ‘stood between light and darkness’, with darkness being

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Sieh, Kerry. "Sumatran megathrust earthquakes: from science to saving lives." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 364, no. 1845 (2006): 1947–63. http://dx.doi.org/10.1098/rsta.2006.1807.

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Most of the loss of life, property and well-being stemming from the great Sumatran earthquake and tsunami of 2004 could have been avoided and losses from similar future events can be largely prevented. However, achieving this goal requires forging a chain linking basic science—the study of why, when and where these events occur—to people's everyday lives. The intermediate links in this chain are emergency response preparedness, warning capability, education and infrastructural changes. In this article, I first describe our research on the Sumatran subduction zone. This research has allowed us

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Karachencev, Ivan S. "FORMATION OF PALEONTOLOGICAL COLLECTIONS OF THE IMPERIAL TOMSK UNIVERSITY (1880–1916)." Vestnik Tomskogo gosudarstvennogo universiteta. Kul'turologiya i iskusstvovedenie, no. 55 (2024): 271–82. https://doi.org/10.17223/22220836/55/22.

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The purpose of this article is to reconstruct the process of the formation and use of paleontological collections at Imperial Tomsk University, from the moment when the first specimens were received until 1917. The problem is solved by analyzing laws on universities, archival documents, reports on the state of universities, and journals of university councils. It is known that Tomsk State University was founded in 1888, consisting only of a medical faculty, but along with medical departments, departments of physics, chemistry, mineralogy, botany and zoology were also opened, under which museum

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Robert Goulding. "Pythagoras in Paris: Petrus Ramus Imagines the Prehistory of Mathematics." Configurations 17, no. 1 (2009): 51–86. http://dx.doi.org/10.1353/con.0.0067.

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Stein, Ross S., Shinji Toda, Tom Parsons, and Elliot Grunewald. "A new probabilistic seismic hazard assessment for greater Tokyo." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 364, no. 1845 (2006): 1965–88. http://dx.doi.org/10.1098/rsta.2006.1808.

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Tokyo and its outlying cities are home to one-quarter of Japan's 127 million people. Highly destructive earthquakes struck the capital in 1703, 1855 and 1923, the last of which took 105 000 lives. Fuelled by greater Tokyo's rich seismological record, but challenged by its magnificent complexity, our joint Japanese–US group carried out a new study of the capital's earthquake hazards. We used the prehistoric record of great earthquakes preserved by uplifted marine terraces and tsunami deposits (17 M ∼8 shocks in the past 7000 years), a newly digitized dataset of historical shaking (10 000 observ

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DEAN, WALTER, and SEAN WALSH. "THE PREHISTORY OF THE SUBSYSTEMS OF SECOND-ORDER ARITHMETIC." Review of Symbolic Logic 10, no. 2 (2017): 357–96. http://dx.doi.org/10.1017/s1755020316000411.

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AbstractThis paper presents a systematic study of the prehistory of the traditional subsystems of second-order arithmetic that feature prominently in the reverse mathematics program promoted by Friedman and Simpson. We look in particular at: (i) the long arc from Poincaré to Feferman as concerns arithmetic definability and provability, (ii) the interplay between finitism and the formalization of analysis in the lecture notes and publications of Hilbert and Bernays, (iii) the uncertainty as to the constructive status of principles equivalent to Weak König’s Lemma, and (iv) the large-scale intel

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Marquis, Jean-Pierre. "Erich Reck* and Georg Schiemer.** The Prehistory of Mathematical Structuralism." Philosophia Mathematica 28, no. 3 (2020): 416–20. http://dx.doi.org/10.1093/philmat/nkaa028.

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Kufner, Alois, Lech Maligranda, and Lars-Erik Persson. "The Prehistory of the Hardy Inequality." American Mathematical Monthly 113, no. 8 (2006): 715. http://dx.doi.org/10.2307/27642033.

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Kufner, Alois, Lech Maligranda, and Lars-Erik Persson. "The Prehistory of the Hardy Inequality." American Mathematical Monthly 113, no. 8 (2006): 715–32. http://dx.doi.org/10.1080/00029890.2006.11920356.

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Kukushkin, M. V. "Kipriyanov’s Fractional Calculus Prehistory and Legacy." Lobachevskii Journal of Mathematics 44, no. 8 (2023): 3411–29. http://dx.doi.org/10.1134/s1995080223080334.

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Geim, A. K. "Graphene prehistory." Physica Scripta T146 (January 1, 2012): 014003. http://dx.doi.org/10.1088/0031-8949/2012/t146/014003.

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Craik, Alex D. D. "Prehistory of FaÃÂ di Bruno's Formula." American Mathematical Monthly 112, no. 2 (2005): 119. http://dx.doi.org/10.2307/30037410.

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Iovleva, Elizaveta, and Anatoly Boyarshinov. "Mathematical prediction of the Aldan river freezing based on prehistory in 2000-2022." BIO Web of Conferences 116 (2024): 03022. http://dx.doi.org/10.1051/bioconf/202411603022.

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The possibility of forecasting the freezing of the Aldan River in the Republic of Sakha (Yakutia) is considered. The opening of winter roads directly depends on the time of freezing. In this paper, a regression analysis of the ice-freezing dates of the Aldan River near the settlement of Khandyga was performed on the basis of statistical data. The data were provided by the Federal State Budgetary Institution “Yakutsk Department of Hydrometeorology and Environmental Monitoring” (the authors express their gratitude to the monitoring department and library of YASUMS for many years of hydrological

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EDER, GÜNTHER, and GEORG SCHIEMER. "HILBERT, DUALITY, AND THE GEOMETRICAL ROOTS OF MODEL THEORY." Review of Symbolic Logic 11, no. 1 (2017): 48–86. http://dx.doi.org/10.1017/s1755020317000260.

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AbstractThe article investigates one of the key contributions to modern structural mathematics, namely Hilbert’sFoundations of Geometry(1899) and its mathematical roots in nineteenth-century projective geometry. A central innovation of Hilbert’s book was to provide semantically minded independence proofs for various fragments of Euclidean geometry, thereby contributing to the development of the model-theoretic point of view in logical theory. Though it is generally acknowledged that the development of model theory is intimately bound up with innovations in 19th century geometry (in particular,

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Eliseeva, I. I., and A. L. Dmitriev. "“Mathematical manuscripts” by Karl Marx (On the occasion of the 200th birth anniversary)." Voprosy Ekonomiki, no. 8 (August 28, 2018): 88–101. http://dx.doi.org/10.32609/0042-8736-2018-8-88-101.

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The article gives a brief review of the prehistory of the appearance of “Mathematical Manuscripts” by K. Marx published in the USSR in 1968 as a separate volume not included in the second edition of Marx and Engels collected works. The conclusion is drawn that the study of the divisions of higher mathematics (primarily differential and integral calculi) by Marx was connected with his desire to turn to the works of representatives of the “mathematical school” (O. Cournot, J. H. Thünen, W. Jevons, L. Walras and etc.), which was actively developing since the 1860s, and to understand the possibili

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