The Resource A History of Folding in Mathematics : Mathematizing the Margins, by Michael Friedman, (electronic resource)
A History of Folding in Mathematics : Mathematizing the Margins, by Michael Friedman, (electronic resource)
Resource Information
The item A History of Folding in Mathematics : Mathematizing the Margins, by Michael Friedman, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item A History of Folding in Mathematics : Mathematizing the Margins, by Michael Friedman, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
- Summary
- While it is well known that the Delian problems are impossible to solve with a straightedge and compass – for example, it is impossible to construct a segment whose length is ∛2 with these instruments – the Italian mathematician Margherita Beloch Piazzolla's discovery in 1934 that one can in fact construct a segment of length ∛2 with a single paper fold was completely ignored (till the end of the 1980s). This comes as no surprise, since with few exceptions paper folding was seldom considered as a mathematical practice, let alone as a mathematical procedure of inference or proof that could prompt novel mathematical discoveries. A few question immediately arise: Why did paper folding become a non-instrument? What caused the marginalisation of this technique? And how was the mathematical knowledge, which was nevertheless transmitted and prompted by paper folding, later treated and conceptualised? Aiming to answer these questions, this volume provides, for the first time, an extensive historical study on the history of folding in mathematics, spanning from the 16th century to the 20th century, and offers a general study on the ways mathematical knowledge is marginalised, disappears, is ignored or becomes obsolete. In doing so, it makes a valuable contribution to the field of history and philosophy of science, particularly the history and philosophy of mathematics and is highly recommended for anyone interested in these topics.--
- Language
- eng
- Extent
- 1 online resource (XV, 419 pages)
- Contents
-
- Introduction
- From the 16th Century Onwards: Folding Polyhedra. New Epistemological Horizons?
- Prolog to the 19th Century: Accepting Folding as a Method of Inference
- The 19th Century – What Can and Cannot be (Re)presented: On Models and Kindergartens
- Towards the Axiomatization, Operationalization and Algebraization of the Fold
- The Axiomatization(s) of the Fold
- Appendix I: Margherita Beloch Piazzolla: “Alcune applicazioni del metodo del ripiegamento della carta di Sundara Row”
- Appendix II: Deleuze, Leibniz and the Unmathematical Fold
- Bibliography
- List of Figures
- Isbn
- 9783319724874
- Label
- A History of Folding in Mathematics : Mathematizing the Margins
- Title
- A History of Folding in Mathematics
- Title remainder
- Mathematizing the Margins
- Statement of responsibility
- by Michael Friedman
- Language
- eng
- Summary
- While it is well known that the Delian problems are impossible to solve with a straightedge and compass – for example, it is impossible to construct a segment whose length is ∛2 with these instruments – the Italian mathematician Margherita Beloch Piazzolla's discovery in 1934 that one can in fact construct a segment of length ∛2 with a single paper fold was completely ignored (till the end of the 1980s). This comes as no surprise, since with few exceptions paper folding was seldom considered as a mathematical practice, let alone as a mathematical procedure of inference or proof that could prompt novel mathematical discoveries. A few question immediately arise: Why did paper folding become a non-instrument? What caused the marginalisation of this technique? And how was the mathematical knowledge, which was nevertheless transmitted and prompted by paper folding, later treated and conceptualised? Aiming to answer these questions, this volume provides, for the first time, an extensive historical study on the history of folding in mathematics, spanning from the 16th century to the 20th century, and offers a general study on the ways mathematical knowledge is marginalised, disappears, is ignored or becomes obsolete. In doing so, it makes a valuable contribution to the field of history and philosophy of science, particularly the history and philosophy of mathematics and is highly recommended for anyone interested in these topics.--
- Assigning source
- Provided by publisher
- http://library.link/vocab/creatorName
- Friedman, Michael
- Image bit depth
- 0
- Literary form
- non fiction
- Nature of contents
- dictionaries
- Series statement
-
- Springer eBooks
- Science Networks. Historical Studies,
- Springer eBooks.
- Series volume
- 59
- http://library.link/vocab/subjectName
-
- Mathematics
- History
- Geometry
- Mathematical logic
- Label
- A History of Folding in Mathematics : Mathematizing the Margins, by Michael Friedman, (electronic resource)
- Antecedent source
- mixed
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Color
- not applicable
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- Introduction -- From the 16th Century Onwards: Folding Polyhedra. New Epistemological Horizons? -- Prolog to the 19th Century: Accepting Folding as a Method of Inference -- The 19th Century – What Can and Cannot be (Re)presented: On Models and Kindergartens -- Towards the Axiomatization, Operationalization and Algebraization of the Fold -- The Axiomatization(s) of the Fold -- Appendix I: Margherita Beloch Piazzolla: “Alcune applicazioni del metodo del ripiegamento della carta di Sundara Row” -- Appendix II: Deleuze, Leibniz and the Unmathematical Fold -- Bibliography -- List of Figures
- Control code
- 978-3-319-72487-4
- Dimensions
- unknown
- Extent
- 1 online resource (XV, 419 pages)
- File format
- multiple file formats
- Form of item
-
- online
- electronic
- Governing access note
- Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
- Isbn
- 9783319724874
- Level of compression
- uncompressed
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1007/978-3-319-72487-4
- Other physical details
- 134 illustrations, 42 illustrations in color.
- Quality assurance targets
- absent
- Reformatting quality
- access
- Specific material designation
- remote
- System control number
- (OCoLC)1038067301
- Label
- A History of Folding in Mathematics : Mathematizing the Margins, by Michael Friedman, (electronic resource)
- Antecedent source
- mixed
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Color
- not applicable
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- Introduction -- From the 16th Century Onwards: Folding Polyhedra. New Epistemological Horizons? -- Prolog to the 19th Century: Accepting Folding as a Method of Inference -- The 19th Century – What Can and Cannot be (Re)presented: On Models and Kindergartens -- Towards the Axiomatization, Operationalization and Algebraization of the Fold -- The Axiomatization(s) of the Fold -- Appendix I: Margherita Beloch Piazzolla: “Alcune applicazioni del metodo del ripiegamento della carta di Sundara Row” -- Appendix II: Deleuze, Leibniz and the Unmathematical Fold -- Bibliography -- List of Figures
- Control code
- 978-3-319-72487-4
- Dimensions
- unknown
- Extent
- 1 online resource (XV, 419 pages)
- File format
- multiple file formats
- Form of item
-
- online
- electronic
- Governing access note
- Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
- Isbn
- 9783319724874
- Level of compression
- uncompressed
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1007/978-3-319-72487-4
- Other physical details
- 134 illustrations, 42 illustrations in color.
- Quality assurance targets
- absent
- Reformatting quality
- access
- Specific material designation
- remote
- System control number
- (OCoLC)1038067301
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.eui.eu/portal/A-History-of-Folding-in-Mathematics-/LcwPGfFpsp8/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/A-History-of-Folding-in-Mathematics-/LcwPGfFpsp8/">A History of Folding in Mathematics : Mathematizing the Margins, by Michael Friedman, (electronic resource)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>