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Spätestens seit dem linguistic turn gilt Sprache als unhintergehbare Grundlage von Dichtung und Wissenschaften. Der Band rückt in den Blick, dass Sprache jedoch bereits im 17. und 18. Jahrhundert zu einem zentralen Aspekt der Verhältnisbestimmung von Mathematik, Physik, Logik und Dichtung avancierte. Bei der Untersuchung sprachphilosophischer Positionen dieses Zeitraums wird deutlich, dass vermeintlich evidente Differenzen zwischen wissenschaftlicher und poetischer Sprache jedoch zuallererst theoretisch konstruiert wurden - zum Teil mit erheblichem argumentativem Aufwand. Dem Prozess der Axiomatisierung, Formalisierung und Symbolisierung kommt hierbei besondere Relevanz zu. Er bedingt einerseits eine radikale Verengung des neuzeitlichen Rationalitätskonzepts, andererseits eine ,Entliterarisierung' wissenschaftlicher Diskurse. Ausgehend von dieser Beobachtung lässt sich eine enge Vernetzung von Dichtung bzw. Poetologie mit den Entwicklungen der genannten Disziplinen rekonstruieren. Sie wird u.a. in Charles Batteux' Konzept einer ,Sprache des Herzens', in Alexander Baumgartens Bezeichnung ,analogon rationis' und Friedrich Schlegels Entwurf einer ,neuer Mythologie' aufgezeigt.

1600-1850. --- Literary history. --- Literatur und Mathematik. --- Literatur und Naturwissenschaft. --- Literaturgeschichte. --- literature and mathematics. --- literature and the natural sciences. --- LITERARY CRITICISM / European / German.

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Imagine mathematics, imagine with the help of mathematics, imagine new worlds, new geometries, new forms. This volume in the series “Imagine Math” casts light on what is new and interesting in the relationships between mathematics, imagination, and culture. The book opens by examining the connections between modern and contemporary art and mathematics, including Linda D. Henderson’s contribution. Several further papers are devoted to mathematical models and their influence on modern and contemporary art, including the work of Henry Moore and Hiroshi Sugimoto. Among the many other interesting contributions are an homage to Benoît Mandelbrot with reference to the exhibition held in New York in 2013 and the thoughts of Jean-Pierre Bourguignon on the art and math exhibition at the Fondation Cartier in Paris. An interesting part is dedicated to the connections between math, computer science and theatre with the papers by C. Bardainne and A. Mondot.  The topics are treated in a way that is rigorous but captivating, detailed but very evocative. This is an all-embracing look at the world of mathematics and culture.

Mathematics. --- Mathematics in Art and Architecture. --- Mathematics Education. --- Popular Science, general. --- Science (General). --- Mathématiques --- Mathematics -- Social aspects. --- Mathematics and literature. --- Mathematics in art. --- Art, Architecture & Applied Arts --- Fine Arts - General --- Mathematics --- Social aspects. --- Literature and mathematics --- Math --- Popular works. --- Study and teaching. --- Literature --- Science --- Mathematics—Study and teaching .

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You are invited to join a fascinating journey of discovery, as Marcia Birken and Anne C. Coon explore the intersecting patterns of mathematics and poetry — bringing the two fields together in a new way. Setting the tone with humor and illustrating each chapter with countless examples, Birken and Coon begin with patterns we can see, hear, and feel and then move to more complex patterns. Number systems and nursery rhymes lead to the Golden Mean and sestinas. Simple patterns of shape introduce tessellations and concrete poetry. Fractal geometry makes fractal poetry possible. Ultimately, patterns for the mind lead to questions: How do mathematicians and poets conceive of proof, paradox, and infinity? What role does analogy play in mathematical discovery and poetic expression? The book will be of special interest to readers who enjoy looking for connections across traditional disciplinary boundaries. Discovering Patterns in Mathematics and Poetry features centuries of creative work by mathematicians, poets, and artists, including Fibonacci, Albrecht Dürer, M. C. Escher, David Hilbert, Benoit Mandelbrot, William Shakespeare, Edna St. Vincent Millay, Langston Hughes, E.E. Cummings, and many contemporary experimental poets. Original illustrations include digital photographs, mathematical and poetic models, and fractal imagery.

Mathematics and literature. --- Logic, Symbolic and mathematical. --- Word problems (Mathematics) --- Poetics. --- Pattern perception. --- Problems, Word (Mathematics) --- Story problems (Mathematics) --- Mathematics --- Poetry --- Design perception --- Pattern recognition --- Form perception --- Perception --- Figure-ground perception --- Literature and mathematics --- Literature --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Technique

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Imagine mathematics, imagine with the help of mathematics, imagine new worlds, new geometries, new forms. Imagine building mathematical models that make it possible to manage our world better, imagine combining music, art, poetry, literature, architecture and cinema with mathematics. Imagine the unpredictable and sometimes counterintuitive applications of mathematics in all areas of human endeavour. Imagination and mathematics, imagination and culture, culture and mathematics. This sixth volume in the series begins with a homage to the architect Zaha Hadid, who died on March 31st, 2016, a few weeks before the opening of a large exhibition of her works in Palazzo Franchetti in Venice, where all the Mathematics and Culture conferences have taken place in the last years. A large section of the book is dedicated to literature, narrative and mathematics including a contribution from Simon Singh. It discusses the role of media in mathematics, including museums of science, journals and movies. Mathematics and applications, including blood circulation and preventing crimes using earthquakes, is also addressed, while a section on mathematics and art examines the role of math in design. A large selection presents photos of mathematicians and mathematical objects by Vincent Moncorge. Discussing all topics in a way that is rigorous but captivating, detailed but full of evocations, it offers an all-embracing look at the world of mathematics and culture.

Mathematics --- Mathematics and literature. --- Literature and mathematics --- Literature --- Math --- Science --- Social aspects. --- Mathematics. --- Architects. --- Design and construction. --- Computer graphics. --- Applications of Mathematics. --- Design, general. --- Computer Graphics. --- Popular Science in Humanities / Arts. --- Automatic drafting --- Graphic data processing --- Graphics, Computer --- Computer art --- Graphic arts --- Electronic data processing --- Engineering graphics --- Image processing --- Professional employees --- Digital techniques --- Applied mathematics. --- Engineering mathematics. --- Design. --- Humanities. --- Learning and scholarship --- Classical education --- Creation (Literary, artistic, etc.) --- Engineering --- Engineering analysis --- Mathematical analysis

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Imagine mathematics, imagine with the help of mathematics, imagine new worlds, new geometries, new forms. Imagine building mathematical models that make it possible to manage our world better, imagine solving great problems, imagine new problems never before thought of, imagine combining music, art, poetry, literature, architecture, theatre and cinema with mathematics. Imagine the unpredictable and sometimes counterintuitive applications of mathematics in all areas of human endeavour. This seventh volume starts with a homage to the Italian artist Mimmo Paladino who created exclusively for the Venice Conference 2019 ten original and unique works of art paper dedicated to the themes of the meeting. A large section is dedicated to the most recent Fields Medals including a Homage to Maryam Mirzakhani including a presentation of the exhibition on soap bubbles in art and science that took place in 2019. A section is dedicated to cinema and theatre including the performances by Claire Bardainne & Adrien Mondot. A part of the conference focused on the community of mathematicians, their role in literature and even in politics with the extraordinary example of Antanas Mockus Major of Bogotá. Mathematics in the constructions of bridges, in particular in Italy in the Sixties was presented by Tullia Iori. A very particular contribution on Origami by a mathematician, Marco Abate and an artist, Alessandro Beber. And many other topics. As usual the topics are treated in a way that is rigorous but captivating, detailed and full of evocations. This is an all-embracing look at the world of mathematics and culture. This work is addressed to all those who have an interest in Mathematics.

Applied mathematics. --- Engineering mathematics. --- Architects. --- Design. --- Computer graphics. --- Humanities. --- Arts. --- Applications of Mathematics. --- Design, general. --- Computer Graphics. --- Popular Science in Humanities / Arts. --- Arts, Fine --- Arts, Occidental --- Arts, Western --- Fine arts --- Humanities --- Learning and scholarship --- Classical education --- Automatic drafting --- Graphic data processing --- Graphics, Computer --- Computer art --- Graphic arts --- Electronic data processing --- Engineering graphics --- Image processing --- Creation (Literary, artistic, etc.) --- Professional employees --- Engineering --- Engineering analysis --- Mathematical analysis --- Digital techniques --- Mathematics --- Social aspects. --- Math --- Science --- Mathematics and society --- Society and mathematics --- Sociology of mathematics --- Mathematics and literature. --- Mathematics in motion pictures. --- Motion pictures --- Literature and mathematics --- Literature