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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)

Creator
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
Work
Publication
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
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-72487-4
Instance
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
Creator
Subject
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.--
Member of
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)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-72487-4
Instantiates
Publication
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)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-72487-4
Publication
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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