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Relevant bibliographies by topics / Principia Mathematica

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Academic literature on the topic 'Principia Mathematica'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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Journal articles on the topic "Principia Mathematica"

1

BIARNAIS, Marie-Françoise. "Les 'Principia Mathematica'." Revue Philosophique de Louvain 86, no. 4 (1988): 440–66. http://dx.doi.org/10.2143/rpl.86.4.2013475.

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Desmet, Ronny. "Principia Mathematica Centenary." Process Studies 39, no. 2 (2010): 225–63. http://dx.doi.org/10.5840/process201039223.

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Goldberg, Dorothy. "In Celebration: Newton's Principia, 1687–1987." Mathematics Teacher 80, no. 9 (1987): 711–14. http://dx.doi.org/10.5951/mt.80.9.0711.

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Three hundred years have passed since the publication in 1687 of Philosophiae Naturalis Principia Mathematica (The mathematical principles of natural philosophy). Sir Isaac Newton's great scientific treatise, commonly known as the Principia, was published in London on 5 July 1687.

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Ладов, В. А. ""Principia Mathematica" о природе логических парадоксов". Философия науки, № 3 (54) (2012): 36–44.

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Rompe, R., and H. J. Treder. "Newtons „Principia Mathematica Philosophia” und Plancks Elementarkonstanten." Annalen der Physik 499, no. 3 (1987): 153–60. http://dx.doi.org/10.1002/andp.19874990302.

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Wahl, Russell. "The Palgrave Centenary Companion to Principia Mathematica." History and Philosophy of Logic 37, no. 3 (2015): 294–97. http://dx.doi.org/10.1080/01445340.2015.1084680.

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Landini, Gregory. "Quantification Theory in *9 of Principia Mathematica." History and Philosophy of Logic 21, no. 1 (2000): 57–77. http://dx.doi.org/10.1080/01445340050044646.

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Linsky, Bernard. "The Resolution of Russell’s Paradox in Principia Mathematica." Noûs 36, s16 (2002): 395–417. http://dx.doi.org/10.1111/1468-0068.36.s16.15.

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Griffin, Nicholas. "A Sexist Joke in Principia Mathematica." Russell: the Journal of Bertrand Russell Studies 39 (January 25, 2020): 138–40. http://dx.doi.org/10.15173/russell.v39i2.4208.

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Mancosu, Paolo. "Between Russell and Hilbert: Behmann on the Foundations of Mathematics." Bulletin of Symbolic Logic 5, no. 3 (1999): 303–30. http://dx.doi.org/10.2307/421183.

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AbstractAfter giving a brief overview of the renewal of interest in logic and the foundations of mathematics in Göttingen in the period 1914-1921, I give a detailed presentation of the approach to the foundations of mathematics found in Behmann's doctoral dissertation of 1918, Die Antinomie der transfiniten Zahl und ihre Auflösung durch die Theorie von Russell und Whitehead. The dissertation was written under the guidance of David Hilbert and was primarily intended to give a clear exposition of the solution to the antinomies as found in Principia Mathematica. In the process of explaining the theory of Principia, Behmann also presented an original approach to the foundations of mathematics which saw in sense perception of concrete individuals the Archimedean point for a secure foundation of mathematical knowledge. The last part of the paper points out an important numbers of connections between Behmann's work and Hilbert's foundational thought.

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Dissertations / Theses on the topic "Principia Mathematica"

1

Jung, Darryl 1962. "The Logic of Principia Mathematica." Thesis, Massachusetts Institute of Technology, 1994. http://hdl.handle.net/1721.1/11766.

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Quine, W. V. "The logic of sequences a generalization of Principia mathematica /." New York : Garland Pub, 1990. http://catalog.hathitrust.org/api/volumes/oclc/20797392.html.

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Quine, Willard Van Orman. "The logic of sequences : a generalization of "Principia mathematica /." New York : Garland pub, 1990. http://catalogue.bnf.fr/ark:/12148/cb35698378n.

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Seymour, Michel. "Descriptions et référence : la théorie de la syntaxe logique de Principia Mathematica et ses perspectives contemporaines." Thèse, Université du Québec à Trois-Rivières, 1985. http://depot-e.uqtr.ca/6827/1/000559864.pdf.

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Elkind, Landon D. C. "The search for logical forms: in defense of logical atomism." Diss., University of Iowa, 2018. https://ir.uiowa.edu/etd/3250.

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I here defend logical atomism. This defense rests on reinterpreting logical atomism as a search for logical forms. This reinterpretation has two parts comprising six chapters. In the first part, I do some historically-driven recovery. In the introduction, I review the literature on Russell's logical atomism. In Chapter 1, I argue that the dominant interpretation of logical atomism is wrong on historical grounds: it accounts for neither the history of logical atomism nor for crucial elements of the logical atomist texts. In Chapter 2, I then use Russell's writings to recover what I argue is the core of logical atomism. I explicate the critical notions and essential ingredients of logical atomism using "Principia Mathematica" as the archetype of logical atomism. I argue that logical atomsts are term busters. The essential ingredient of a logical atomist's term busting practice is a higher-order logic with the power of impredicative comprehension. In Chapter 3, I discuss the widespread view that Wittgenstein held a version of logical atomism. Focusing on his pre-"Tractatus" writings and changes in his earlier views, I argue that Wittgenstein embraced a philosophy of logic incompatible with emulating impredicative comprehension in April 1914. As such, Wittgenstein was a logical atomist, if ever, in October 1913, possibly through April 1914. In the second part, having clarified what logical atomism is, I present a modern logical atomism. In Chapter 4, I develop a philosophy of logic for logical atomism based on the notion of a pure logic. I critically discuss normativity in logic, the epistemology of pure logic, and logical pluralism. In Chapter 5, I propose a formal logic for logical atomism. I argue for the logic of logical atomism being an infinitely-descending and infinitely-ascending simple type theory with impredicative comprehension compatible with a domain empty of particulars. In Chapter 6, I critically discuss what the ontology of logical atomism should be, that is, what the ontology of the logical atomist's logic must be. This includes an ontology of logical concepts and of logical forms as completely-general, necessarily-existing logical facts with no constituents. I conclude by indicating avenues for new work on logical atomism.

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Slowik, Claude. "Le livre II des Principia, les principes à l’épreuve de leur passage sur terre." Thesis, Lille 3, 2014. http://www.theses.fr/2014LIL30006/document.

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Le livre : Principia Mathematica Philosophiae Naturalis (1687) de Isaac Newton constitue pour la science moderne un texte fondateur. Le corps de cet ouvrage est constitué de trois parties principales appelées livres. Parmi ces trois livres, les livres I et III consacrés principalement à l'étude du cosmos ont fait l'objet de nombreuses études. Le livre II consacré à l'étude de la résistance au mouvement des milieux fluides a été quelque peu délaissé et même dévalorisé par l'historiographie. Dans le livre II Newton détourne son regard du ciel et le porte sur terre. L'étude de cette partie des Principia nous permet de : revisiter et d'approfondir le concept newtonien de force, de découvrir l'usage de la notion de pression, de préciser le rôle de la géométrie euclidienne. Pour la géométrie nous avons été particulièrement attentif aux différentes fonctions des figures. Nous avons travaillé à partir de plusieurs traductions, principalement celle de la marquise du Châtelet de 1759 et de celle plus récente de Cohen et Whitman. Nos référents essentiels sont : Blay, Cohen, De Gand, Janiak, Koyré, McMullin, Smith et Westfall<br>Book : Isaac Newton's Principia Mathematica Philosophiae Naturalis (1687) represents a fundamental text for modern science. The body of that work is in three major parts called books. Among these three books, I and III are primarily dedicated to the study of the cosmos and have been the objects of numerous studies. Book II is dedicated to the study of resistance to movement of fluid environments and has been somewhat ignored and even devalued by historiography. In book II Newton turns away from the sky and looks down at earth. The study of that part of Principia allows us to revisit and deepen our knowledge of the newtonian concept of force, to discover and learn how to use the concept of pressure, and to clarify the role of euclidean geometry. As for geometry, we have paid special attention to the different functions of figures. We have worked with several translations, primarily Marquise du Chatelet 1759's translation, and the more recent one by Cohen and Whitman. Our essential references are Blay, Cohen, De Gand, Janiak, Koyre, McMullin, Smith and Westfall

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Tabb, Jeremiah R. "Using wavelets and principle components analysis to model data from simulated sheet forming processes." Thesis, Georgia Institute of Technology, 2000. http://hdl.handle.net/1853/10146.

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Gautreau, David Paul. "Principal Sensemaking and Leading School Improvement in Mathematics." Thesis, Université d'Ottawa / University of Ottawa, 2018. http://hdl.handle.net/10393/37299.

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While research has identified the practices that successful school leaders use, the effectiveness of those practices rests on leaders enacting them with great contextual sensitivity. Research literature suggests that leaders should be thoughtful, discerning, careful and dexterous with regard to how they lead. This thesis presents a qualitative, multi-case study of how five elementary school principals lead the improvement of mathematics achievement in their schools. Taking the perspective that leadership is a sensemaking praxis, principals’ perceptions and interpretations of their contexts were explored with the goal of better understanding why they lead the way they do. The evidence revealed that the actions of the principals in this study were the product of their contextually-influenced, idiosyncratic sensemaking. This study demonstrates the value of using the sensemaking praxis perspective as a lens for understanding the enactment of educational leadership. Further, this study has practical implications for principal training, policy implementation, and school improvement.

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Safuanov, Ildar S., and Irina G. Shamsutdinova. "CLEARNESS AS A PRINCIPLE OF THE TEACHING OF MATHEMATICS." Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-80864.

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Laures, Gerd. "The topological q-expansion principle." Thesis, Massachusetts Institute of Technology, 1996. http://hdl.handle.net/1721.1/38420.

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Books on the topic "Principia Mathematica"

1

Whitehead, Alfred North. Principia mathematica, to *56. Cambridge University Press, 1997.

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Linsky, Bernard, Nicholas Griffin, and Kenneth Blackwell. Principia mathematica at 100. Bertrand Russell Research Centre, 2011.

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3

1951-, Parrochia Daniel, ed. Autour des Principia Mathematica de Russell et Whitehead. Éditions Universitaires de Dijon, 2012.

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Griffin, Nicholas, and Bernard Linsky, eds. The Palgrave Centenary Companion to Principia Mathematica. Palgrave Macmillan UK, 2013. http://dx.doi.org/10.1057/9781137344632.

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5

V, Quine W. The logic of sequences: A generalization of Principia mathematica. Garland Pub., 1990.

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6

Gödel, Kurt. On formally undecidable propositions of Principia mathematica and related systems. Dover Publications, 1992.

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7

The evolution of Principia mathematica: Bertrand Russell's manuscripts and notes for the second edition. Cambridge University Press, 2011.

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8

Saaty, Thomas L. Principia mathematica decernendi =: Mathematical principles of decision making : generalization of the analytic network process to neural firing and synthesis. RWS Publications, 2010.

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9

Ch, Erdeni. Principia mathematica: Essays on mathematical natural philosophy constituting the absolute geometry of space-time and matter & discovering the absolute method of calculus in classical pure mathematics. Anno MMIY, 2003.

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10

The prolegomena to a 1985 philosophiae naturalis principia mathematica: Which will be able to present itself as a science of the true. Ox Bow Press, 1985.

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Book chapters on the topic "Principia Mathematica"

1

Gandon, Sébastien. "Quantity in Principia Mathematica." In Russell's Unknown Logicism. Palgrave Macmillan UK, 2012. http://dx.doi.org/10.1057/9781137024657_6.

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Woleński, Jan. "Principia Mathematica in Poland." In The Palgrave Centenary Companion to Principia Mathematica. Palgrave Macmillan UK, 2013. http://dx.doi.org/10.1057/9781137344632_3.

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Gandon, Sébastien. "Application Constraint in Principia Mathematica." In Russell's Unknown Logicism. Palgrave Macmillan UK, 2012. http://dx.doi.org/10.1057/9781137024657_7.

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Kahle, Reinhard. "David Hilbert and Principia Mathematica." In The Palgrave Centenary Companion to Principia Mathematica. Palgrave Macmillan UK, 2013. http://dx.doi.org/10.1057/9781137344632_2.

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Landini, Gregory. "Principia Mathematica: φ! versus φ." In The Palgrave Centenary Companion to Principia Mathematica. Palgrave Macmillan UK, 2013. http://dx.doi.org/10.1057/9781137344632_8.

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6

Linsky, Bernard. "Russellian Propositions in Principia Mathematica." In Outstanding Contributions to Logic. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-71430-7_20.

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Urquhart, Alasdair. "Principia Mathematica: The First 100 Years." In The Palgrave Centenary Companion to Principia Mathematica. Palgrave Macmillan UK, 2013. http://dx.doi.org/10.1057/9781137344632_1.

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Hinkis, Arie. "Proofs of CBT in Principia Mathematica." In Proofs of the Cantor-Bernstein Theorem. Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0224-6_26.

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9

Sonar, Thomas. "Die Principia Mathematica und die Folgen." In Die Geschichte des Prioritäts∫treits zwischen Leibniz und Newton. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-48862-1_6.

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Sonar, Thomas. "The Aftermath of the Principia Mathematica." In The History of the Priority Di∫pute between Newton and Leibniz. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-72563-5_6.

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Conference papers on the topic "Principia Mathematica"

1

KAMINSKI, W. A. "PHILOSOPHIAE NATURALIS PRINCIPIA MATHEMATICA." In Philosophiae Naturalis Principia Mathematica. WORLD SCIENTIFIC, 1988. http://dx.doi.org/10.1142/9789814541992.

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El Khalil, A. "On the principle eigencurve of a coupled system." In Proceedings of the Conference in Mathematics and Mathematical Physics. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814295574_0004.

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Matviychuk, Yaroslav. "Reduction principle of the mathematical model." In 2017 2nd International Conference on Advanced Information and Communication Technologies (AICT). IEEE, 2017. http://dx.doi.org/10.1109/aiact.2017.8020085.

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Franke, H. W. "Mathematics as an artistic-generative principle." In SIGGRAPH 89 Art show catalog - Computer art in context. ACM Press, 1989. http://dx.doi.org/10.1145/73877.73882.

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Zhang, Zhiliang. "Fuzzy Principle Algorithm based on Mathematical Theory." In 2015 4th National Conference on Electrical, Electronics and Computer Engineering. Atlantis Press, 2016. http://dx.doi.org/10.2991/nceece-15.2016.206.

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Yusoff, Nur Syahidah, and Shamshuritawati Sharif. "Identifying influential variables in complex system: Network topology versus principal component analysis." In ADVANCES IN INDUSTRIAL AND APPLIED MATHEMATICS: Proceedings of 23rd Malaysian National Symposium of Mathematical Sciences (SKSM23). Author(s), 2016. http://dx.doi.org/10.1063/1.4954628.

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Weijun, Su. "Mathematical principle of medical apparatus of imaging-diagnose." In International Conference on Mechanics,Materials and Structural Engineering (ICMMSE 2016). Atlantis Press, 2016. http://dx.doi.org/10.2991/icmmse-16.2016.70.

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Voorhees, Burton. "Virtual stability: A general complex systems principle?" In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756210.

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Simon, Shahril, Mohd Omar, Norazliani Md Lazam, and Mohd Nazrul Mohd Amin. "Factor investing based on Musharakah principle." In THE 22ND NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM22): Strengthening Research and Collaboration of Mathematical Sciences in Malaysia. AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4932468.

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Navarro, Juan F., and Antonio Pérez. "Principal Matrix of a Linear System Symbolically Computed." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2008. American Institute of Physics, 2008. http://dx.doi.org/10.1063/1.2990946.

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Reports on the topic "Principia Mathematica"

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Incongruity between biological and chronologic age among the pupils of sports schools and the problem of group lessons effectiveness at the initial stage of training in Greco-Roman wrestling. Aleksandr S. Kuznetsov, 2021. http://dx.doi.org/10.14526/2070-4798-2021-16-1-19-23.

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Considerable influence and compulsory dropout among those, who go in for GrecoRoman wrestling at the age of 10-13, does not take into account the level of individual biological development and integral demands domination claimed on too high general physical training (GPT) (4) normatives fulfillment. It corresponds with general situation in the system of education (6, 9). In spite of uneven speed of biological development (1, 8, 9), there are general demands claimed on physical training at school for age groups (5) in accordance with chronologic age. The same situation is at sports schools. Technical and physical training lessons at Greco-Roman wrestling school at the stage of initial training are organized according to general group principle. Research methods. Information sources analysis and summarizing, questionnaire survey, coaches’ experience summarizing, methods of mathematical statistics. Results. The received research results led to the following conclusion: it is possible to solve the problem of dropping out of Greco-Roman wrestling sports schools in terms of minimal loss in the quality of sports training by means of dividing the training groups into subgroups. There different normatives of material mastering and set by standard physical qualities development are used. For this purpose we created the training groups and subgroups of the set objectives realization at Greco-Roman wrestling sports schools.

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