Georg Cantor from St. Petersburg
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Passport of St. Petersburg Industrial Zones
The Committee for industrial policy and innovation of St. Petersburg Passport of St. Petersburg industrial zones 3-d edition 2015 Contents 1. Preamble..................................................................................................................................................................2 2. Industrial zones of St. Petersburg............................................................................................................................8 2.1. Area of industrial zones...................................................................................................................................9 2.2. Branch specialization of industrial zones according to town-planning regulations of industrial zones..............9 2.3. The Master plan of Saint-Petersburg (a scheme of a functional zoning of St. Petersburg)..............................................................................................10 2.4. The Rules of land use and building of St. Petersburg (a scheme of a territorial zoning of St. Petersburg).............................................................................................12 2.5. Extent of development of territories of industrial zones and the carried-out projects of engineering training of territories of industrial zones............................................................................................................................13 2.6. Documentation of planning areas of the industrial zones........................................................................13 -
Cantor on Infinity in Nature, Number, and the Divine Mind
Cantor on Infinity in Nature, Number, and the Divine Mind Anne Newstead Abstract. The mathematician Georg Cantor strongly believed in the existence of actually infinite numbers and sets. Cantor’s “actualism” went against the Aristote- lian tradition in metaphysics and mathematics. Under the pressures to defend his theory, his metaphysics changed from Spinozistic monism to Leibnizian volunta- rist dualism. The factor motivating this change was two-fold: the desire to avoid antinomies associated with the notion of a universal collection and the desire to avoid the heresy of necessitarian pantheism. We document the changes in Can- tor’s thought with reference to his main philosophical-mathematical treatise, the Grundlagen (1883) as well as with reference to his article, “Über die verschiedenen Standpunkte in bezug auf das aktuelle Unendliche” (“Concerning Various Perspec- tives on the Actual Infinite”) (1885). I. he Philosophical Reception of Cantor’s Ideas. Georg Cantor’s dis- covery of transfinite numbers was revolutionary. Bertrand Russell Tdescribed it thus: The mathematical theory of infinity may almost be said to begin with Cantor. The infinitesimal Calculus, though it cannot wholly dispense with infinity, has as few dealings with it as possible, and contrives to hide it away before facing the world Cantor has abandoned this cowardly policy, and has brought the skeleton out of its cupboard. He has been emboldened on this course by denying that it is a skeleton. Indeed, like many other skeletons, it was wholly dependent on its cupboard, and vanished in the light of day.1 1Bertrand Russell, The Principles of Mathematics (London: Routledge, 1992 [1903]), 304. -
St Petersburg 8
Plan Your Trip 12 ©Lonely Planet Publications Pty Ltd St Petersburg “All you’ve got to do is decide to go and the hardest part is over. So go!” TONY WHEELER, COFOUNDER – LONELY PLANET Regis St Louis, Simon Richmond Contents PlanPlan Your Your Trip Trip page 1 4 Welcome to Top Itineraries ���������������20 Travelling to Moscow ����36 St Petersburg ������������������ 4 If You Like� ����������������������22 Museums St Petersburg’s Month by Month ������������24 & Galleries �������������������37 Top 10 ������������������������������� 6 With Kids ������������������������26 Eating ���������������������������39 What’s New �������������������� 13 Money-Saving Tips �������28 Drinking Need to Know �����������������14 & Nightlife ������������������ 43 Visas �������������������������������29 First Time Entertainment ������������ 46 St Petersburg �����������������16 Tours & Activities �����������31 Shopping ��������������������� 48 Getting Around �������������� 18 Visiting on a Cruise �������34 Explore St Petersburg 50 Historic Heart ����������������54 Vasilyevsky Island ������� 143 Day Trips from Sennaya & Kolomna ���104 Petrograd & St Petersburg ������������ 173 Vyborg Sides ��������������� 154 Smolny & Sleeping ���������������������186 Vosstaniya ��������������������121 Understand St Petersburg 197 St Petersburg History ������������������������� 200 Arts �������������������������������226 Today ���������������������������� 198 Architecture ����������������� 219 Literature ���������������������236 Survival Guide 241 Transport ���������������������242 -
Paper to the Early Plans of Petersburg
Building space and myth at the edge of empire: Space Syntax analysis of St. Petersburg, 1703-19131 2 Kenneth J. Knoespel 17 Georgia Institute of Technology, USA Abstract: Keywords The foundation of St Petersburg in 1703 involves a tension between Scandinavian Constructing the “view” 17.1 of St. Petersburg, and Slavic identity. By reviewing grid maps over a period of time, it is possible to phenomenolog of men- create connections of authorial structures and show how they not only come into tal space, Space Syn- tension with mythologies being associated with the city but how they also continue tax and the Tartu School, narrative to generate a mythos for the city. Drawing on space syntax analysis of five stage of space, Dostoevsky and the evolution of the city, I show how the ongoing building of the city cannot be urban development separated from the construction of an evolving mental model of the city. The mythic [email protected] associations attributed to the city at her foundation stand in stark contrast to the ongoing problems of not only creating an idealized plan but in building a city that was rapidly becoming the major architectural and civil engineering project taking place in the north Introduction Approaches to the imperial city founded by Peter the Great on the Gulf of Finland in 1703 have often split the study of the urban plan between the highly developed mythos associated with the city and its actual construction. The repeated reference to the psychological force of the city so evident in work by Pushkin, Gogal, Dostoevsky, to mention only a few, stand in harsh contrast to the technical accounts of canal and bridge building, the city’s extension toward the Gulf of Finland, the building of the world’s deepest metro system, the industrialization of the city during the Soviet period, and the rebuilding of the city after its destruction in the Second World War. -
I Want to Start My Story in Germany, in 1877, with a Mathematician Named Georg Cantor
LISTENING - Ron Eglash is talking about his project http://www.ted.com/talks/ 1) Do you understand these words? iteration mission scale altar mound recursion crinkle 2) Listen and answer the questions. 1. What did Georg Cantor discover? What were the consequences for him? 2. What did von Koch do? 3. What did Benoit Mandelbrot realize? 4. Why should we look at our hand? 5. What did Ron get a scholarship for? 6. In what situation did Ron use the phrase “I am a mathematician and I would like to stand on your roof.” ? 7. What is special about the royal palace? 8. What do the rings in a village in southern Zambia represent? 3)Listen for the second time and decide whether the statements are true or false. 1. Cantor realized that he had a set whose number of elements was equal to infinity. 2. When he was released from a hospital, he lost his faith in God. 3. We can use whatever seed shape we like to start with. 4. Mathematicians of the 19th century did not understand the concept of iteration and infinity. 5. Ron mentions lungs, kidney, ferns, and acacia trees to demonstrate fractals in nature. 6. The chief was very surprised when Ron wanted to see his village. 7. Termites do not create conscious fractals when building their mounds. 8. The tiny village inside the larger village is for very old people. I want to start my story in Germany, in 1877, with a mathematician named Georg Cantor. And Cantor decided he was going to take a line and erase the middle third of the line, and take those two resulting lines and bring them back into the same process, a recursive process. -
Georg Cantor English Version
GEORG CANTOR (March 3, 1845 – January 6, 1918) by HEINZ KLAUS STRICK, Germany There is hardly another mathematician whose reputation among his contemporary colleagues reflected such a wide disparity of opinion: for some, GEORG FERDINAND LUDWIG PHILIPP CANTOR was a corruptor of youth (KRONECKER), while for others, he was an exceptionally gifted mathematical researcher (DAVID HILBERT 1925: Let no one be allowed to drive us from the paradise that CANTOR created for us.) GEORG CANTOR’s father was a successful merchant and stockbroker in St. Petersburg, where he lived with his family, which included six children, in the large German colony until he was forced by ill health to move to the milder climate of Germany. In Russia, GEORG was instructed by private tutors. He then attended secondary schools in Wiesbaden and Darmstadt. After he had completed his schooling with excellent grades, particularly in mathematics, his father acceded to his son’s request to pursue mathematical studies in Zurich. GEORG CANTOR could equally well have chosen a career as a violinist, in which case he would have continued the tradition of his two grandmothers, both of whom were active as respected professional musicians in St. Petersburg. When in 1863 his father died, CANTOR transferred to Berlin, where he attended lectures by KARL WEIERSTRASS, ERNST EDUARD KUMMER, and LEOPOLD KRONECKER. On completing his doctorate in 1867 with a dissertation on a topic in number theory, CANTOR did not obtain a permanent academic position. He taught for a while at a girls’ school and at an institution for training teachers, all the while working on his habilitation thesis, which led to a teaching position at the university in Halle. -
River Cruises Saint-Petersburg – Moscow 11 Days / 10 Nights O Ship «3 Anchors»
GOINGRUSSIA GROUPS 2018 RIVER CRUISES SAINT-PETERSBURG – MOSCOW 11 DAYS / 10 NIGHTS O SHIP «3 ANCHORS» www.goingrussia.com | [email protected] | Tel: +7 812 333 09 54 © 1996-2018 GoingRussia. All rights reserved. No part of this document may be reproduced without our prior written permission. ITINERARY RIVER CRUISES SAINT-PETERSBURG – MOSCOW – SHIP TYPE «3 ANCHORS» – 11D/10N DAY 1 / SAINT-PETERSBURG (ARRIVAL) DAY 4 / MANDROGI - Visit of the Cathedral of the Transfiguration - Arrival to Saint-Petersburg - Breakfast on board - Farewell dinner of the captain on board - Transfer to the port - Free time in the village Mandrogi - Night on board - Welcome ceremony «Bread and Salt» - Typical Shashlik barbecue in Mandrogi DAY 9 / MOSCOW - Accommodation - Dinner and night on board - Breakfast on board - Dinner and night on board (in case of late DAY 5 / KIZHI - Complete panoramic city tour of Moscow arrival picnic dinner will be served) - Breakfast on board - Lunch on board - Lunch on board DAY 2 / SAINT-PETERSBURG - Visit of the Open Museum of wooden In option (afternoon): - Breakfast on board architecture Visit of the Novodevichy Convent ant its famous - Complete panoramic city tour of Saint-Petersburg - Dinner and night on board “Swan Lake” - Visit to the Peter and Paul Fortress and its - Dinner and night on board cathedral, pantheon of Romanov Tsars DAY 6 / GORITSY - Lunch on board - Breakfast on board In option (at night): - Lunch on board Visit of the Moscow Metro and visit of In option (afternoon): Moscow “by night” Visit of the Yusupov -
St. Petersburg Is Recognized As One of the Most Beautiful Cities in the World. This City of a Unique Fate Attracts Lots of Touri
I love you, Peter’s great creation, St. Petersburg is recognized as one of the most I love your view of stern and grace, beautiful cities in the world. This city of a unique fate The Neva wave’s regal procession, The grayish granite – her bank’s dress, attracts lots of tourists every year. Founded in 1703 The airy iron-casting fences, by Peter the Great, St. Petersburg is today the cultural The gentle transparent twilight, capital of Russia and the second largest metropolis The moonless gleam of your of Russia. The architectural look of the city was nights restless, When I so easy read and write created while Petersburg was the capital of the Without a lamp in my room lone, Russian Empire. The greatest architects of their time And seen is each huge buildings’ stone worked at creating palaces and parks, cathedrals and Of the left streets, and is so bright The Admiralty spire’s flight… squares: Domenico Trezzini, Jean-Baptiste Le Blond, Georg Mattarnovi among many others. A. S. Pushkin, First named Saint Petersburg in honor of the a fragment from the poem Apostle Peter, the city on the Neva changed its name “The Bronze Horseman” three times in the XX century. During World War I, the city was renamed Petrograd, and after the death of the leader of the world revolution in 1924, Petrograd became Leningrad. The first mayor, Anatoly Sobchak, returned the city its historical name in 1991. It has been said that it is impossible to get acquainted with all the beauties of St. -
Cantor and Continuity
Cantor and Continuity Akihiro Kanamori May 1, 2018 Georg Cantor (1845-1919), with his seminal work on sets and number, brought forth a new field of inquiry, set theory, and ushered in a way of proceeding in mathematics, one at base infinitary, topological, and combinatorial. While this was the thrust, his work at the beginning was embedded in issues and concerns of real analysis and contributed fundamentally to its 19th Century rigorization, a development turning on limits and continuity. And a continuing engagement with limits and continuity would be very much part of Cantor's mathematical journey, even as dramatically new conceptualizations emerged. Evolutionary accounts of Cantor's work mostly underscore his progressive ascent through set- theoretic constructs to transfinite number, this as the storied beginnings of set theory. In this article, we consider Cantor's work with a steady focus on con- tinuity, putting it first into the context of rigorization and then pursuing the increasingly set-theoretic constructs leading to its further elucidations. Beyond providing a narrative through the historical record about Cantor's progress, we will bring out three aspectual motifs bearing on the history and na- ture of mathematics. First, with Cantor the first mathematician to be engaged with limits and continuity through progressive activity over many years, one can see how incipiently metaphysical conceptualizations can become systemati- cally transmuted through mathematical formulations and results so that one can chart progress on the understanding of concepts. Second, with counterweight put on Cantor's early career, one can see the drive of mathematical necessity pressing through Cantor's work toward extensional mathematics, the increasing objectification of concepts compelled, and compelled only by, his mathematical investigation of aspects of continuity and culminating in the transfinite numbers and set theory. -
Case Study of St. Petersburg)
E3S Web of Conferences 164, 04002 (2020) https://doi.org/10.1051/e3sconf /202016404002 TPACEE-2019 Space-planning development of high-rise dominating structures in the historical center (case study of St. Petersburg) Milena Zolotareva 1* 1 Saint Petersburg State University of Architecture and Civil Engineering, Vtoraya Krasnoarmeyskaya St. 4, St. Petersburg, 190005, Russia, Abstract. The article addresses the evolution of layout and spatial design development regarding high-rise zoning in the central part of St. Petersburg. The skyline has always played an important role in the spatial composition of St. Petersburg. Study objective of the study is to analyze the evolution of the spatial and spatial structure and high-altitude zoning in the historical part of St. Petersburg in the end of the 19th – beginning of the 20th century. A study of the sustainable development of the historical urban environment is of undoubted interest from the point of view of identifying promising approaches to the implementation of planning, architectural and construction measures for for modern construction in the historical city. The study is based on cartographic, literary end field methods. St. Petersburg is a unity of space-planning structures that were shaped during the 18th–19th centuries. Moreover, every subsequent urban- planning concept of city development acted both to develop the city and to connect the concepts to each other. Therefore, regularities in the development of the system of high-rise dominating structures in St. Petersburg shall be analyzed with account for the historical stages of the layout shaping of its urban environment. Analysis of examples of new construction at the beginning of the 19th – beginning of the 20th century in the center of St. -
Luxury Capitals of Russia. Moscow & Saint-Petersburg
Luxury capitals of Russia Moscow & Saint-Petersburg (8d/7n) 1 Day. Saint Petersburg Arrival to LED airport. VIP Meeting with guide and driver near the airplane. Individual customs formalities. Transfer to the hotel Belmond. Accomodation in Presidential suite, St Petersburg's largest suite occupies a corner of the hotel, offering stunning views to Nevsky Prospekt. Time for leisure. Dinner in Caviar bar - choose from a superb selection of caviar served a top delicate blinis, crisp, cold vodkas, light snacks and delicious full courses. Overnight. 2 Day. Saint Petersburg Breakfast. During the Sightseeing tour you will have a look at Nevsky prospect (main street of the city), the Strelka (the eastern tip of Vasilyevsky Island), so called university campus, Theatre square, St. Nicolas Cathedral, Dostoevsky quarter, Isakievskaya square. You will make a stop on Zayatchy Island from where the city began to grow after Peter the Great laid the foundation of the Peter and Paul fortress in 1703, where you will have an exclusive helicopter tour. Lunch in The Flying Dutchman is one of the landmarks of Saint Petersburg, a three-mast sailboat, the unique copy of the Dutch Fleut Amsterdam of the year 1748. Continuation of city-tour is the boat-tour in a high-speed boat from exclusive pier of Flying Dutchman restaurant. Evening free time. Overnight. 3 Day. Saint Petersburg Breakfast. The first part of the day will be fully dedicated to the Hermitage (Winter Palace), the residence of Russian tsars. You will have an exclusive entrance to the museum in a non-working-day, avoiding lots of tourists, and a special visit to the Golden Room of Hermitage. -
List of the Main Directorate of the Ministry of Internal Affairs of Russia for St
List of the Main Directorate of the Ministry of Internal Affairs of Russia for St. Petersburg and the Leningrad Region № Units Addresses п\п 1 Admiralteysky District of Saint 190013, Saint Petersburg Vereyskaya Street, 39 Petersburg 2 Vasileostrovsky District of Saint 199106, Saint Petersburg, Vasilyevsky Island, 19th Line, 12a Petersburg 3 Vyborgsky District of Saint 194156, Saint Petersburg, Prospekt Parkhomenko, 18 Petersburg 4 Kalininsky District of Saint 195297, Saint Petersburg, Bryantseva Street, 15 Petersburg 5 Kirovsky District of Saint 198152, Saint Petersburg, Avtovskaya Street, 22 Petersburg 6 Kolpinsky District of Saint 198152, Saint Petersburg, Kolpino, Pavlovskaya Street, 1 Petersburg 7 Krasnogvardeisky District of 195027, Saint Petersburg, Bolsheokhtinsky Prospekt, 11/1 Saint Petersburg 8 Krasnoselsky District of Saint 198329, Saint Petersburg, Tambasova Street, 4 Petersburg 9 Kurortny District of Saint 197706, Saint Petersburg, Sestroretsk, Primorskoe Highway, Petersburg 280 10 Kronshtadtsky District of Saint 197760, Saint Petersburg, Kronstadt, Lenina Prospekt, 20 Petersburg 11 Moskovsky District of Saint 196135, Saint Petersburg, Tipanova Street, 3 Petersburg 12 Nevsky District of Saint 192171, Saint Petersburg, Sedova Street, 86 Petersburg 13 Petrogradsky District of Saint 197022, Saint Petersburg, Grota Street, 1/3 Petersburg 14 Petrodvortsovy District of Saint 198516, Saint Petersburg, Peterhof, Petersburg Konnogrenaderskaya Street., 1 15 Primorsky District of Saint 197374 Saint Petersburg, Yakhtennaya Street, 7/2