Wittgenstein S Annotations To Hardy S Course Of Pure Mathematics

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Wittgenstein’s Annotations to Hardy’s Course of Pure Mathematics

Juliet Floyd,Felix Mühlhölzer
Wittgenstein s Annotations to Hardy s Course of Pure Mathematics Book PDF

Author : Juliet Floyd,Felix Mühlhölzer
Publisher : Springer Nature
Page : 330 pages
File Size : 48,7 Mb
Release : 2020-08-31
Category : Mathematics
ISBN : 9783030484811

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Wittgenstein’s Annotations to Hardy’s Course of Pure Mathematics by Juliet Floyd,Felix Mühlhölzer Pdf

This monograph examines the private annotations that Ludwig Wittgenstein made to his copy of G.H. Hardy’s classic textbook, A Course of Pure Mathematics. Complete with actual images of the annotations, it gives readers a more complete picture of Wittgenstein’s remarks on irrational numbers, which have only been published in an excerpted form and, as a result, have often been unjustly criticized. The authors first establish the context behind the annotations and discuss the historical role of Hardy’s textbook. They then go on to outline Wittgenstein’s non-extensionalist point of view on real numbers, assessing his manuscripts and published remarks and discussing attitudes in play in the philosophy of mathematics since Dedekind. Next, coverage focuses on the annotations themselves. The discussion encompasses irrational numbers, the law of excluded middle in mathematics and the notion of an “improper picture," the continuum of real numbers, and Wittgenstein’s attitude toward functions and limits.

Language, Form(s) of Life, and Logic

Christian Martin
Language Form s of Life and Logic Book PDF

Author : Christian Martin
Publisher : Walter de Gruyter GmbH & Co KG
Page : 342 pages
File Size : 52,8 Mb
Release : 2018-09-10
Category : Philosophy
ISBN : 9783110518283

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Language, Form(s) of Life, and Logic by Christian Martin Pdf

This volume deals with the connection between thinking-and-speaking and our form(s) of life. All contributions engage with Wittgenstein’s approach to this topic. As a whole, the volume takes a stance against both biological and ethnological interpretations of the notion "form of life" and seeks to promote a broadly logico-linguistic understanding instead. The structure of this book is threefold. Part one focuses on lines of thinking that lead from Wittgenstein’s earlier thought to the concept of form of life in his later work. Contributions to part two examine the concrete philosophical function of this notion as well as the ways in which it differs from cognate concepts. Contributions to part three put Wittgenstein’s notion of form of life in perspective by relating it to phenomenology, ordinary language philosophy and problems in contemporary analytic philosophy.

Mathematical Knowledge, Objects and Applications

Carl Posy,Yemima Ben-Menahem
Mathematical Knowledge Objects and Applications Book PDF

Author : Carl Posy,Yemima Ben-Menahem
Publisher : Springer Nature
Page : 404 pages
File Size : 47,6 Mb
Release : 2023-05-05
Category : Mathematics
ISBN : 9783031216558

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Mathematical Knowledge, Objects and Applications by Carl Posy,Yemima Ben-Menahem Pdf

This book provides a survey of a number of the major issues in the philosophy of mathematics, such as ontological questions regarding the nature of mathematical objects, epistemic questions about the acquisition of mathematical knowledge, and the intriguing riddle of the applicability of mathematics to the physical world. Some of these issues go back to the nascent years of mathematics itself, others are just beginning to draw the attention of scholars. In addressing these questions, some of the papers in this volume wrestle with them directly, while others use the writings of philosophers such as Hume and Wittgenstein to approach their problems by way of interpretation and critique. The contributors include prominent philosophers of science and mathematics as well as promising younger scholars. The volume seeks to share the concerns of philosophers of mathematics with a wider audience and will be of interest to historians, mathematicians and philosophers alike.

Wittgenstein and Education

Adrian Skilbeck,Paul Standish
Wittgenstein and Education Book PDF

Author : Adrian Skilbeck,Paul Standish
Publisher : John Wiley & Sons
Page : 357 pages
File Size : 46,9 Mb
Release : 2023-07-18
Category : Philosophy
ISBN : 9781119912286

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Wittgenstein and Education by Adrian Skilbeck,Paul Standish Pdf

WITTGENSTEIN AND EDUCATION Wittgenstein’s later writings are abundant with examples, and these return repeatedly to scenes of teaching and learning. Light is cast on language, belief, imagination, perception, illusion and obsession, by asking for each how it is acquired. How do we come into the practices that make up our lives? How, beyond the biological, do we become human beings? Wittgenstein wanted not to spare others the trouble of thinking but to stimulate readers to thoughts of their own. Yet so much in education today leads students (and their teachers) along clearly-planned direct routes to achievement, to success without the trouble of thinking. Knowledge and understanding are displaced by transferrable skills and competences, with teacher education reduced to priorities of classroom management skills and curriculum ‘delivery’. In this climate there is a new growth of interest in the illumination Wittgenstein provides for enquiry into education. This collection, originating in the Annual Conference of the British Wittgenstein Society in 2018, celebrates this influence and demonstrates the range of Wittgenstein’s importance for education.

Philosophical Explorations of the Legacy of Alan Turing

Juliet Floyd,Alisa Bokulich
Philosophical Explorations of the Legacy of Alan Turing Book PDF

Author : Juliet Floyd,Alisa Bokulich
Publisher : Springer
Page : 369 pages
File Size : 45,7 Mb
Release : 2017-05-30
Category : Science
ISBN : 9783319532806

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Philosophical Explorations of the Legacy of Alan Turing by Juliet Floyd,Alisa Bokulich Pdf

Chapters “Turing and Free Will: A New Take on an Old Debate” and “Turing and the History of Computer Music” are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

The Radial Method of the Middle Wittgenstein

Piotr Dehnel
The Radial Method of the Middle Wittgenstein Book PDF

Author : Piotr Dehnel
Publisher : Bloomsbury Publishing
Page : 233 pages
File Size : 55,6 Mb
Release : 2022-11-17
Category : Philosophy
ISBN : 9781350257344

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The Radial Method of the Middle Wittgenstein by Piotr Dehnel Pdf

Spanning the period between Wittgenstein's return to Cambridge in 1929 and the first version of Philosophical Investigations in 1936, Piotr Dehnel explores the middle stage in Ludwig Wittgenstein's philosophical development and identifies the major issues which engrossed him, including phenomenology, philosophy of mathematics and philosophy of language. Contrary to the dominant perspective, Dehnel argues that this period was intrinsically different from the early and late stages and should not be viewed as a mere transitional phase. The distinctiveness of Wittgenstein's middle work can be seen in his philosophical thinking as it unfolds in a non-linear trajectory: thoughts do not follow upon each other, ideas do not appear sequentially one by one, and insights do not form a straight chain. Dehnel portrays the diffused and multifarious quality of Wittgenstein's middle thinking, enabling readers to form a more comprehensive view of his entire philosophy and acquire a better grasp of his conceptual trajectory, complete with the intricacies and challenges that it poses.

Wittgenstein and the Vienna Circle

Friedrich Stadler
Wittgenstein and the Vienna Circle Book PDF

Author : Friedrich Stadler
Publisher : Springer Nature
Page : 615 pages
File Size : 47,8 Mb
Release : 2023-03-03
Category : Philosophy
ISBN : 9783031077890

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Wittgenstein and the Vienna Circle by Friedrich Stadler Pdf

This book offers a critical update of current Wittgenstein research on the Tractatus logico-philosophicus (TLP) and its relation to the Vienna Circle. The contributions are written by renowned Wittgenstein scholars, on the occasion of the "Wittgenstein Years" 1921/1922 with a special focus on its origin, reception, and interpretation then and now. The main topic is the mutual relation between Wittgenstein and the Vienna Circle (esp. Schlick, Waismann, Carnap, Gödel), but also Russell and Ramsey. In addition, included in this volume are new studies on Wittgenstein's life and work, on the philosophy of the TLP, and on the Wittgenstein family in philosophical and historical context. Furthermore, unpublished documents on Wittgenstein and Waismann from the archives are provided in form of edited and commented primary sources. As per the book series' usual format, a general part of this Yearbook covers a study on Neurath's economy as well as reviews of related publications.

Philosophy of Logic and Mathematics

Gabriele M. Mras,Paul Weingartner,Bernhard Ritter
Philosophy of Logic and Mathematics Book PDF

Author : Gabriele M. Mras,Paul Weingartner,Bernhard Ritter
Publisher : Walter de Gruyter GmbH & Co KG
Page : 559 pages
File Size : 54,8 Mb
Release : 2019-11-18
Category : Philosophy
ISBN : 9783110657883

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Philosophy of Logic and Mathematics by Gabriele M. Mras,Paul Weingartner,Bernhard Ritter Pdf

This volume presents different conceptions of logic and mathematics and discuss their philosophical foundations and consequences. This concerns first of all topics of Wittgenstein's ideas on logic and mathematics; questions about the structural complexity of propositions; the more recent debate about Neo-Logicism and Neo-Fregeanism; the comparison and translatability of different logics; the foundations of mathematics: intuitionism, mathematical realism, and formalism. The contributing authors are Matthias Baaz, Francesco Berto, Jean-Yves Beziau, Elena Dragalina-Chernya, Günther Eder, Susan Edwards-McKie, Oliver Feldmann, Juliet Floyd, Norbert Gratzl, Richard Heinrich, Janusz Kaczmarek, Wolfgang Kienzler, Timm Lampert, Itala Maria Loffredo D'Ottaviano, Paolo Mancosu, Matthieu Marion, Felix Mühlhölzer, Charles Parsons, Edi Pavlovic, Christoph Pfisterer, Michael Potter, Richard Raatzsch, Esther Ramharter, Stefan Riegelnik, Gabriel Sandu, Georg Schiemer, Gerhard Schurz, Dana Scott, Stewart Shapiro, Karl Sigmund, William W. Tait, Mark van Atten, Maria van der Schaar, Vladimir Vasyukov, Jan von Plato, Jan Woleński and Richard Zach.

The Life and Philosophy of Elizabeth Anscombe

John Haldane
The Life and Philosophy of Elizabeth Anscombe Book PDF

Author : John Haldane
Publisher : Andrews UK Limited
Page : 413 pages
File Size : 46,9 Mb
Release : 2019-06-13
Category : Philosophy
ISBN : 9781788360128

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The Life and Philosophy of Elizabeth Anscombe by John Haldane Pdf

This volume in the St Andrews series contains a collection of essays from leading authors regarding the work of Elizabeth Anscombe, in particular issues in mind and metaphysics, and can be considered a partner work to 2016's The Moral Philosophy of Elizabeth Anscombe (also published by Imprint Academic Ltd.).

Wittgenstein, Mathematics and World

Bob Clark
Wittgenstein Mathematics and World Book PDF

Author : Bob Clark
Publisher : Springer
Page : 215 pages
File Size : 51,7 Mb
Release : 2017-11-14
Category : Mathematics
ISBN : 9783319639918

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Wittgenstein, Mathematics and World by Bob Clark Pdf

This book uses Ludwig Wittgenstein’s philosophical methodology to solve a problem that has perplexed thinkers for thousands of years: 'how come (abstract) mathematics applies so wonderfully well to the (concrete, physical) world?' The book is distinctive in several ways. First, it gives the reader a route into understanding important features of Wittgenstein’s writings and lectures by using his methodology to tackle this long-standing and seemingly intractable philosophical problem. More than this, though, it offers an outline of important (sometimes little-known) aspects of the development of mathematical thought through the ages, and an engagement of Wittgenstein’s philosophy with this and with contemporary philosophy of mathematics on its own terms. A clear overview of all this in the context of Wittgenstein’s philosophy of mathematics is interesting in its own right; it is also just what is needed to solve the problem of mathematics and world.

Perceiving the Future through New Communication Technologies

James Katz,Juliet Floyd,Katie Schiepers
Perceiving the Future through New Communication Technologies Book PDF

Author : James Katz,Juliet Floyd,Katie Schiepers
Publisher : Springer Nature
Page : 249 pages
File Size : 40,8 Mb
Release : 2022-01-01
Category : Social Science
ISBN : 9783030848835

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Perceiving the Future through New Communication Technologies by James Katz,Juliet Floyd,Katie Schiepers Pdf

The volume offers multiple perspectives on the way in which people encounter and think about the future. Drawing on the perspectives of history, literature, philosophy and communication studies, an international ensemble of experts offer a kaleidoscope of topics to provoke and enlighten the reader. The authors seek to understand the daily lived experience of ordinary people as they encounter new technology as well as the way people reflect on the significance and meaning of those technologies. The approach of the volume stresses the quotidian quality of reality and ordinary understandings of reality as understood by people from all walks of life. Providing expert analysis and sophisticated understanding, the focus of attention gravitates toward how people make meaning out of change, particularly when the change occurs at the level of social technologies- the devices that modify and amplify our modes of communication with others. The volume is organised into three main sections: The phenomena of new communication technology in people's lives from a contemporary viewpoint; the meaning of robots and AI as they play an increasing role in people's experience and; broader issues concerning the operational, sociological and philosophical implications of people as they address a technology driven future.

A Course of Pure Mathematics

G. H. Hardy
A Course of Pure Mathematics Book PDF

Author : G. H. Hardy
Publisher : Cambridge University Press
Page : 21 pages
File Size : 51,6 Mb
Release : 2008-03-13
Category : Mathematics
ISBN : 9781139643511

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A Course of Pure Mathematics by G. H. Hardy Pdf

There are few textbooks of mathematics as well-known as Hardy's Pure Mathematics. Since its publication in 1908, this classic book has inspired successive generations of budding mathematicians at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of the missionary with the rigour of the purist in his exposition of the fundamental ideas of the differential and integral calculus, of the properties of infinite series and of other topics involving the notion of limit. Celebrating 100 years in print with Cambridge, this edition includes a Foreword by T. W. Körner, describing the huge influence the book has had on the teaching and development of mathematics worldwide. Hardy's presentation of mathematical analysis is as valid today as when first written: students will find that his economical and energetic style of presentation is one that modern authors rarely come close to.

Collected Papers. Volume VII

Florentin Smarandache
Collected Papers Volume VII Book PDF

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 1002 pages
File Size : 46,5 Mb
Release : 2022-02-01
Category : Mathematics
ISBN : 8210379456XXX

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Collected Papers. Volume VII by Florentin Smarandache Pdf

This seventh volume of Collected Papers includes 70 papers comprising 974 pages on (theoretic and applied) neutrosophics, written between 2013-2021 by the author alone or in collaboration with the following 122 co-authors from 22 countries: Mohamed Abdel-Basset, Abdel-Nasser Hussian, C. Alexander, Mumtaz Ali, Yaman Akbulut, Amir Abdullah, Amira S. Ashour, Assia Bakali, Kousik Bhattacharya, Kainat Bibi, R. N. Boyd, Ümit Budak, Lulu Cai, Cenap Özel, Chang Su Kim, Victor Christianto, Chunlai Du, Chunxin Bo, Rituparna Chutia, Cu Nguyen Giap, Dao The Son, Vinayak Devvrat, Arindam Dey, Partha Pratim Dey, Fahad Alsharari, Feng Yongfei, S. Ganesan, Shivam Ghildiyal, Bibhas C. Giri, Masooma Raza Hashmi, Ahmed Refaat Hawas, Hoang Viet Long, Le Hoang Son, Hongbo Wang, Hongnian Yu, Mihaiela Iliescu, Saeid Jafari, Temitope Gbolahan Jaiyeola, Naeem Jan, R. Jeevitha, Jun Ye, Anup Khan, Madad Khan, Salma Khan, Ilanthenral Kandasamy, W.B. Vasantha Kandasamy, Darjan Karabašević, Kifayat Ullah, Kishore Kumar P.K., Sujit Kumar De, Prasun Kumar Nayak, Malayalan Lathamaheswari, Luong Thi Hong Lan, Anam Luqman, Luu Quoc Dat, Tahir Mahmood, Hafsa M. Malik, Nivetha Martin, Mai Mohamed, Parimala Mani, Mingcong Deng, Mohammed A. Al Shumrani, Mohammad Hamidi, Mohamed Talea, Kalyan Mondal, Muhammad Akram, Muhammad Gulistan, Farshid Mofidnakhaei, Muhammad Shoaib, Muhammad Riaz, Karthika Muthusamy, Nabeela Ishfaq, Deivanayagampillai Nagarajan, Sumera Naz, Nguyen Dinh Hoa, Nguyen Tho Thong, Nguyen Xuan Thao, Noor ul Amin, Dragan Pamučar, Gabrijela Popović, S. Krishna Prabha, Surapati Pramanik, Priya R, Qiaoyan Li, Yaser Saber, Said Broumi, Saima Anis, Saleem Abdullah, Ganeshsree Selvachandran, Abdulkadir Sengür, Seyed Ahmad Edalatpanah, Shahbaz Ali, Shahzaib Ashraf, Shouzhen Zeng, Shio Gai Quek, Shuangwu Zhu, Shumaiza, Sidra Sayed, Sohail Iqbal, Songtao Shao, Sundas Shahzadi, Dragiša Stanujkić, Željko Stević, Udhayakumar Ramalingam, Zunaira Rashid, Hossein Rashmanlou, Rajkumar Verma, Luige Vlădăreanu, Victor Vlădăreanu, Desmond Jun Yi Tey, Selçuk Topal, Naveed Yaqoob, Yanhui Guo, Yee Fei Gan, Yingcang Ma, Young Bae Jun, Yuping Lai, Hafiz Abdul Wahab, Wei Yang, Xiaohong Zhang, Edmundas Kazimieras Zavadskas, Lemnaouar Zedam.

Course of Pure Mathematics

Godfrey Harold Hardy
Course of Pure Mathematics Book PDF

Author : Godfrey Harold Hardy
Publisher : Unknown
Page : 458 pages
File Size : 42,8 Mb
Release : 2009-05
Category : Mathematics
ISBN : 1479445657

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Course of Pure Mathematics by Godfrey Harold Hardy Pdf

G.H. Hardy's text is a good single volume refresher course for work in analysis and more advanced algebra, including number theory. Not quite as modern as Birkhoff and MacLane's text, or Manes' work, this volume forms the underpinnings of both works. If you have a good understanding of the preliminary work required in algebra and geometry, Hardy can be read directly and with pleasure. If you have a desire to understand the basis of what is presented in most first-year calculus texts, then Hardy's text is for you.

Universe in a glass of iced-water. Exploration in off-the-wall physic

Victor Christianto,Florentin Smarandache,Robert Neil Boyd
Universe in a glass of iced water Exploration in off the wall physic Book PDF

Author : Victor Christianto,Florentin Smarandache,Robert Neil Boyd
Publisher : Infinite Study
Page : 194 pages
File Size : 48,9 Mb
Release : 2023-09-01
Category : Science
ISBN : 8210379456XXX

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Universe in a glass of iced-water. Exploration in off-the-wall physic by Victor Christianto,Florentin Smarandache,Robert Neil Boyd Pdf

Various exploration in astrophysics has revealed many breakthroughs nowadays, not only with respect to James Webb Telescope, but also recent finding related to water and ice deposits in the Moon surface. Those new findings seem to bring us to new questions related to origin of Earth, Moon and the entire Universe.