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References (140)
-
S. Kosslyn (1994)
Image and Brain: The Resolution of the Imagery DebateJournal of Cognitive Neuroscience, 7
-
N. Biggs (1979)
The roots of combinatoricsHistoria Mathematica, 6
-
Axel Conrad, Tanja Hindrichs, Hussein Morsy, I. Wegener (1994)
Solution of the knight's Hamiltonian path problem on chessboardsDiscret. Appl. Math., 50
-
A. Turing (1937)
On Computable Numbers, with an Application to the Entscheidungsproblem.Journal of Symbolic Logic, 2
-
B. Butterworth (1999)
What Counts: How Every Brain is Hardwired for Math -
David Wells (1993)
The Penguin Book of Curious and Interesting Puzzles -
M. Danesi (2002)
The Puzzle Instinct: The Meaning of Puzzles in Human Life -
I. Bashmakova (2019)
Diophantus and Diophantine Equations -
Girolamo Cardano, S. Gould (1961)
The book on games of chance : "liber de ludo aleae" -
Dina Hiele-Geldof, P. Hiele, David Fuys, Dorothy Geddes, R. Tischler (1984)
English Translation of Selected Writings of Dina van Hiele-Geldof and Pierre M. van Hiele. -
Henry Dudeney (1958)
The Canterbury puzzles : and other curious problems -
J. Uexküll
Umwelt und Innenwelt der Tiere [microform] / von J. von Uexküll. -
K. Devlin (2011)
The Man of Numbers: Fibonacci's Arithmetic Revolution -
B. Averbach, O. Chein (1999)
Problem Solving Through Recreational Mathematics -
A. Margalit, M. Bar-Hillel (1983)
Expecting the unexpectedPhilosophia, 13
-
D. Klarner (1998)
Mathematical recreations : a collection in honor of Martin Gardner -
M. Kline (1985)
Mathematics and the Search for Knowledge -
P. Erdös (1934)
A Theorem of Sylvester and SchurJournal of The London Mathematical Society-second Series
-
Robin Wilson (2002)
Four Colors Suffice: How the Map Problem Was Solved -
George Warner, C. Wyatt, R. Dudley, A. Kendall (2010)
The Voyage of Robert Dudley, Afterwards Styled Earl of Warwick and Leicester and Duke of Northumberland, to the West Indies, 1594-1595 -
Laura Taalman (2007)
Taking Sudoku SeriouslyMath Horizons, 15
-
B. Russell (1998)
The Philosophy of Logical Atomism -
R. Roberts (1989)
Serendipity: Accidental Discoveries in Science -
M. Ascher (1990)
A River-Crossing Problem in Cross-Cultural Perspective.Mathematics Magazine, 63
-
M. Gessen (2009)
Perfect Rigor: A Genius and the Mathematical Breakthrough of the Century -
J. Dewey (1927)
Half-Hearted NaturalismThe Journal of Philosophy, 24
-
D. Hudson. (1972)
Lewis Carroll: An Illustrated Biography -
M. Danesi (2003)
Second Language Teaching -
J. Neumann (1959)
The Computer and the Brain -
S. Kosslyn (1994)
Image and Brain -
S. Vajda (1989)
Fibonacci and Lucas Numbers and the Golden Section -
M. Brooke (1969)
150 Puzzles in Crypt-Arithmetic -
R. Gillings (2019)
Mathematics in the Time of the PharaohsMathematics: People · Problems · Results
-
M. Petkovic (2009)
Famous Puzzles of Great Mathematicians -
G. Frege
Begriffsschrift, eine der arithmetischen nachgebildete Formelsprache des reinen Denkens -
K. Appel, W. Haken (1977)
Every planar map is four colorable. Part I: DischargingIllinois Journal of Mathematics, 21
-
J. Lagarias, T. Hales, Samuel Ferguson (2011)
The Kepler conjecture : the Hales-Ferguson proof by Thomas Hales, Samuel Ferguson -
G. Fauconnier, Mark Turner (2002)
The Way We Think: Conceptual Blending and the Mind''s Hidden Complexities. Basic Books -
D. Benson (1999)
The Moment of Proof: Mathematical Epiphanies -
A. Hinz, S. Klavžar, Uroš Milutinović, C. Petr (2013)
The Tower of Hanoi - Myths and Maths -
R. Thom (1977)
Structural stability and morphogenesis - an outline of a general theory of models -
Yair Neuman (2014)
Introduction to Computational Cultural Psychology -
T. Hales (2005)
A proof of the Kepler conjectureAnnals of Mathematics, 162
-
A. Cayley
The Collected Mathematical Papers: On the Theory of Groups as depending on the Symbolical Equation θn = 1Philosophical Magazine Series 1, 7
-
A. Schwenk (1991)
Which Rectangular Chessboards Have a Knight's Tour?Mathematics Magazine, 64
-
C. Jung, A. Storr (1983)
The Essential Jung -
D. Hilbert (1931)
Die Grundlegung der elementaren ZahlenlehreMathematische Annalen, 104
-
D. Gale (1979)
The Game of Hex and the Brouwer Fixed-Point TheoremAmerican Mathematical Monthly, 86
-
R. Smullyan (1979)
The Chess Mysteries of Sherlock Holmes -
E. Kasner, J. Newman (1940)
Mathematics and the Imagination -
C. Trigg (1978)
What is Recreational MathematicsMathematics Magazine, 51
-
David Wells (2012)
Games and Mathematics: Subtle Connections -
M. Costello (1988)
The greatest puzzles of all time -
S. Shapiro (1998)
A procedural solution to the unexpected hanging and Sorites paradoxesMind, 107
-
Trina Kershaw, S. Ohlsson (2004)
Multiple causes of difficulty in insight: the case of the nine-dot problem.Journal of experimental psychology. Learning, memory, and cognition, 30 1
-
M. Gardner (1998)
A Quarter-Century of Recreational Mathematics.Scientific American, 279
-
M. Gardner (1994)
My Best Mathematical and Logic Puzzles -
A. Benjamin, G. Chartrand, Ping Zhang (2015)
The Fascinating World of Graph Theory -
L. Simons, O. Neugebauer, A. Sachs, A. Goetze (1946)
Mathematical Cuneiform Texts.American Mathematical Monthly, 53
-
J. Wimp, K. Devlin (2002)
The math gene: How mathematical thinking evolved and why numbers are like gossipThe Mathematical Intelligencer, 24
-
Herrn Cantor
Ueber eine Eigenschaft des Inbegriffs aller reellen algebraischen Zahlen.Journal für die reine und angewandte Mathematik (Crelles Journal), 1874
-
U. Eco (1989)
The Open Work -
J. Conway (1976)
On Numbers and Games -
L. Foulds, D. Johnston (1984)
An Application of Graph Theory and Integer Programming: Chessboard Non-attacking PuzzlesMathematics Magazine, 57
-
T. Machan (1983)
Ethics and the regulation of professional ethicsPhilosophia, 13
-
William Springer (2009)
Review of the traveling salesman problem: a computational study by Applegate, Bixby, Chvátal, and Cook (Princeton University Press)SIGACT News, 40
-
Yair Neuman (2007)
Immune memory, immune oblivion: a lesson from Funes the memorious.Progress in biophysics and molecular biology, 95 1-3
-
S. Kosslyn (1983)
Ghosts in the mind's machine: Creating and using images in the brain -
H. Ayaz, P. Shewokis, M. Izzetoglu, M. Çakır, B. Onaral (2012)
Tangram solved? Prefrontal cortex activation analysis during geometric problem solving2012 Annual International Conference of the IEEE Engineering in Medicine and Biology Society
-
L. Clarke (1972)
Fun with Figures -
D. Hofstadter, E. Sander (2013)
Surfaces and Essences: Analogy as the Fuel and Fire of Thinking -
S. Smoliar, D. Hofstadter (1979)
Godel, Escher, Bach: An Eternal Golden BraidComputer Music Journal, 5
-
David Richeson (2008)
Euler's Gem: The Polyhedron Formula and the Birth of Topology -
M. Gardner (1982)
Aha! Gotcha: Paradoxes to Puzzle and Delight -
W. Andrews (2018)
Magic Squares and Cubes -
R. Dunlap (1997)
The Golden Ratio and Fibonacci Numbers -
J. Changeux, L. Garey (2012)
The good, the true, & the beautiful : a neuronal approach -
David Antin (1965)
100 Great Problems of Elementary Mathematics -
I. Stewart (2007)
Taming the Infinite -
Henry Dudeney
Amusements in MathematicsNature, 100
-
F. Schuh (2015)
The Master Book of Mathematical Recreations -
D. Rockmore (2005)
Stalking the Riemann Hypothesis: The Quest to Find the Hidden Law of Prime Numbers -
R. Kurzweil (2012)
How to Create a Mind: The Secret of Human Thought Revealed -
Alfred Posamentier, I. Lehmann (2007)
The Fabulous Fibonacci Numbers -
G. Pólya (1921)
Über eine Aufgabe der Wahrscheinlichkeitsrechnung betreffend die Irrfahrt im StraßennetzMathematische Annalen, 84
-
David Wells (2005)
Prime Numbers: The Most Mysterious Figures in Math -
L. Zadeh (1996)
Fuzzy sets -
(2013)
How Humans Learn to Think Mathematically: University Mathematics and Beyond -
G. Bohning, Jody Althouse (1997)
Using tangrams to teach geometry to young childrenEarly Childhood Education Journal, 24
-
M. Clark (2002)
Paradoxes from A to Z -
E. Goldberg, L. Costa (1981)
Hemisphere differences in the acquisition and use of descriptive systemsBrain and Language, 14
-
L. Carroll (2006)
The Game of Logic -
J. Strohmeier, P. Westbrook (1999)
Divine Harmony: The Life and Teachings of Pythagoras -
D. Bor (2012)
The Ravenous Brain: How the New Science of Consciousness Explains Our Insatiable Search for Meaning -
A. Olson (1993)
The Eight Queens Problem.The Journal of Computers in Mathematics and Science Teaching, 12
-
S. Collings (1970)
The Eighth Book of TanThe Mathematical Gazette, 54
-
A. Borovkov (1998)
Probability Theory -
T. Hales, Samuel Ferguson (1998)
A Formulation of the Kepler ConjectureDiscrete & Computational Geometry, 36
-
A. Wiles (1995)
Modular Elliptic Curves and Fermat′s Last Theorem(抜粋) (フェルマ-予想がついに解けた!?), 34
-
B. Mazur, P. Pesic, K. Sabbagh (2003)
"Imagining Numbers" (Particularly the Square Root of Minus Fifteen)@@@"Abel's Proof": An Essay on the Sources and Meaning of Mathematical Unsolvability@@@"The Riemann Hypothesis": The Greatest Unsolved Problem in MathematicsAmerican Mathematical Monthly, 111
-
G. Lakoff, R. Núñez (2002)
Where mathematics comes from : how the embodied mind brings mathematics into beingAmerican Mathematical Monthly, 109
-
(1987)
Mind Tools: The Five Levels of Mathematical Reality -
R. Smullyan (1997)
The riddle of Scheherazade and other amazing puzzles, ancient & modern -
R. Banks (1999)
Slicing Pizzas, Racing Turtles, and Further Adventures in Applied Mathematics -
Jo-Anne Hadley, D. Singmaster (1992)
Problems to sharpen the youngThe Mathematical Gazette, 76
-
R. Sternberg (1984)
Beyond IQ: A Triarchic Theory of Human Intelligence -
K. Appel, W. Haken (1978)
The Four-Color Problem -
Véronique Izard, Pierre Pica, E. Spelke, S. Dehaene (2011)
Flexible intuitions of Euclidean geometry in an Amazonian indigene groupProceedings of the National Academy of Sciences, 108
-
Frank Swetz, T. Kao (1977)
Was Pythagoras Chinese? An Examination of Right Triangle Theory in Ancient China. The Pennsylvania State University Studies No. 40. -
C. Ogilvy (1994)
Excursions in Mathematics -
D. Klarner (1967)
Cell Growth ProblemsCanadian Journal of Mathematics, 19
-
R. Merton, Elinor Barber (2004)
The Travels and Adventures of Serendipity: A Study in Sociological Semantics and the Sociology of Science -
P. Gerdes (1994)
On mathematics in the history of Sub-Saharan AfricaHistoria Mathematica, 21
-
Thomas Tymoczko (1979)
The Four-color Problem and Its Philosophical SignificanceThe Journal of Philosophy, 76
-
M. Livio (2002)
The Golden Ratio: The Story of Phi, the World's Most Astonishing Number -
L. Smolin (2013)
Time Reborn: From the Crisis in Physics to the Future of the Universe -
R. Bert (2013)
\IThe King of Infinite Space: Euclid and His\N Elements By David Berlinski. New York City: Basic Books, 2013Civil Engineering, 83
-
E. Bono (1970)
Lateral thinking: Creativity Step by Step -
J. Newman (1952)
The Rhind PapyrusScientific American, 187
-
I. Pressman, D. Singmaster (1989)
The jealous husbands and The missionaries and cannibalsThe Mathematical Gazette, 73
-
K. Appel, W. Haken (2019)
Every Planar Map Is Four ColorableMathematical Solitaires & Games
-
T. Kuhn (1964)
The Structure of Scientific Revolutions.The Philosophical Quarterly, 14
-
M. Gardner (1997)
The last recreations : hydras, eggs, and other mathematical mystifications -
K. Appel, W. Haken (1977)
The Solution of the Four-Color-Map ProblemScientific American, 237
-
L. Fortnow (2013)
The Golden Ticket: P, NP, and the Search for the Impossible -
R. Hersh, S. Dehaene (1998)
The Number Sense: How the Mind Creates Mathematics.American Mathematical Monthly, 105
-
B. Visser, M. Ashton, P. Vernon (2006)
g and the measurement of Multiple Intelligences: A response to GardnerIntelligence, 34
-
G. Bruno, A. Genovese, G. Improta (2011)
Routing problems: a historical perspectiveBSHM Bulletin: Journal of the British Society for the History of Mathematics, 26
-
O. Carter, P. Cox, Alan Emery, P. Florence, E. Grebenik, Alan Parkes
The Ascent of ManNature, 120
-
I. Pohl (1967)
A method for finding Hamilton paths and Knight's toursCommunications of the ACM, 10
-
Richard Taylor, A. Wiles (1995)
Ring-Theoretic Properties of Certain Hecke AlgebrasAnnals of Mathematics, 141
-
P. Auble, J. Franks, S. Soraci (1979)
Effort toward comprehension: Elaboration or “aha”?Memory & Cognition, 7
-
K. Gödel (1931)
Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme IMonatshefte für Mathematik, 149
-
Ophir Nave, Yair Neuman, L. Perlovsky, N. Howard (2014)
How much information should we drop to become intelligent?Appl. Math. Comput., 245
-
M. Danesi (2003)
Second Language Teaching: A View from the Right Side of the Brain -
J. Adam (2003)
Mathematics in Nature: Modeling Patterns in the Natural World -
T. Bergin, M. Fisch (1949)
The New Science of Giambattista Vico -
A. Chace (1979)
The Rhind mathematical papyrus : free translation and commentary with selected photographs, transcriptions, transliterations, and literal translations -
R. Hersh (1998)
What is Mathematics, Really?Mitteilungen der Deutschen Mathematiker-Vereinigung, 6
-
T. Hales (1994)
The status of the kepler conjectureThe Mathematical Intelligencer, 16
- Publisher
- Springer International Publishing
- Copyright
- © Springer International Publishing AG, part of Springer Nature 2018
- ISBN
- 978-3-319-93253-8
- Pages
- 1 –44
- DOI
- 10.1007/978-3-319-93254-5_1
- Publisher site
- See Chapter on Publisher Site
Abstract
[The English word puzzle covers a broad range of meanings, alluding to everything from riddles and crosswords to Sudoku, optical illusions, and difficult conundrums in advanced mathematics. As a generic categorical label, it is a convenient one for classifying diverse manifestations of what is arguably a singular psychological phenomenon, which can be called the ludic mind, that is, a mind that grasps or models ideas through some form of creative intellectual play. The word puzzle was first used to describe a game in a forgotten book published by a certain Abram Kendall around 1595, titled The Voyage of Robert Dudley Afterwards Styled Earl of Warwick & Leicester and Duke of Northumberland (Warner 2015). It derives from the Middle English word poselen “to bewilder, confuse,” a definition that certainly can be applied to most of the classic mathematical puzzles.]
Published: Aug 12, 2018