% Encoding: UTF-8 % % Math % @book{tangian2014, title = {Mathematical Theory of Democracy}, author = {Andranik Tangian}, publisher = {Springer-Verlag Berlin Heidelberg}, isbn = {978-3-642-38723-4,978-3-642-38724-1}, year = {2014}, series = {Studies in Choice and Welfare}, edition = {1}, volume = {}, url = {https://www.springer.com/gp/book/9783642387234}, } @article{tangian2008, doi = {10.1007/s00355-008-0295-y}, title = {A mathematical model of Athenian democracy}, author = {Andranik Tangian}, publisher = {Springer}, journal = {Social Choice and Welfare}, issn = {0176-1714,1432-217X}, year = {2008}, volume = {31}, issue = {4}, pages = {537--572}, url = {http://doi.org/10.1007/s00355-008-0295-y} } @book{nagel2015, title = {A prova de Gödel}, author = {Ernst Nagel; James. R. Newman}, year = {2015}, publisher = {Perspectiva}, series = {Debates}, } @book{struik1992, title = {Historia Concisa da Matemática}, author = {Dirk J. Struik}, publisher = {Gradiva}, isbn = {972-662-251-4}, year = {1992}, series = {Ciência Aberta}, edition = {2}, volume = {}, } @book{richardson1922, title = {Weather Prediction by Numerical Process}, author = {Lewis F. Richardson}, publisher = {Cambridge University Press}, isbn = {}, year = {1922}, series = {}, edition = {}, volume = {}, } % https://philpapers.org/rec/FEFITP % https://math.stanford.edu/~feferman/papers/lrb.pdf @article{feferman2006, author = {Solomon Feferman}, year = {2006}, title = {Review - Incompleteness: The Proof and Paradox of Kurt Gödel}, journal = {London Review of Books}, volume = {28}, number = {3}, url = {https://www.lrb.co.uk/the-paper/v28/n03/solomon-feferman/provenly-unprovable}, } @book{godel1992, title = {On Formally Undecidable Propositions of Principia Mathematica and Related Systems}, author = {Gödel, Kurt}, publisher = {Dover Publications}, isbn = {0486669807,9780486669809}, year = {1992}, series = {}, edition = {}, volume = {}, } @book{baaz2011, title = {Kurt Gödel and the Foundations of Mathematics: Horizons of Truth }, author = {Matthias Baaz and Christos H. Papadimitriou and Hilary W. Putnam and Dana S. Scott and Charles L. Harper}, publisher = {Cambridge University Press}, isbn = {0521761441,9780521761444}, year = {2011}, series = {}, edition = {}, volume = {}, } @book{copeland2013, title = {Computability: Turing, Gödel, Church, and Beyond}, author = {B. Jack Copeland, Carl J. Posy, Oron Shagrir}, publisher = {The MIT Press}, isbn = {0262018993,9780262018999}, year = {2013}, series = {}, edition = {}, volume = {}, } @book{franzen2005, title = {Gödel's Theorem: An Incomplete Guide to Its Use and Abuse}, author = {Torkel Franzén}, publisher = {A K Peters, Ltd.}, isbn = {1568812388,9781568812380}, year = {2005}, series = {}, edition = {}, volume = {}, } @book{smith2013, title = {An introduction to Gödel's theorems}, author = {Gödel, Kurt and Gödel, Kurt Friedrich and Smith, Peter and Gödel, Kurt}, publisher = {Cambridge University Press}, isbn = {978-1-107-02284-3,978-1-107-60675-3,1107022843,1107606756}, year = {2013}, series = {Cambridge introductions to philosophy}, edition = {2nd ed}, volume = {}, } @book{feferman2010, title = {Kurt Gödel: Essays for his Centennial}, author = {Solomon Feferman, Charles Parsons, Stephen G. Simpson (eds.)}, publisher = {Cambridge University Press}, isbn = {0521115140,9780521115148}, year = {2010}, series = {Lecture Notes in Logic 33}, edition = {}, volume = {}, } @book{brown1972, title = {Laws of Form}, author = {George Spencer Brown}, publisher = {Julian Press}, isbn = {}, year = {1972}, series = {}, edition = {}, volume = {}, url = {https://archive.org/details/LawsOfForm}, } @article{varela1975, doi = {10.1080/03081077508960828}, title = {A calculus for self-reference}, author = {Francisco J. Varela G.}, publisher = {Taylor and Francis Group}, journal = {International Journal of General Systems}, issn = {0308-1079,1563-5104}, year = {1975}, volume = {2}, issue = {1}, pages = {5--24}, url = {http://doi.org/10.1080/03081077508960828} } @article{kauffman1980, title = {Form dynamics}, author = {Louis H. Kauffman; Francisco J. Varela G.}, publisher = {Academic Press Inc.}, journal = {Journal Social Biolo. Struct.}, issn = {}, year = {1980}, volume = {}, issue = {3}, pages = {171--296}, url = {} } @book{tsonis2008, title = {Randomnicity: Rules and randomness in the realm of the infinite}, author = {Anastasios A. Tsonis}, publisher = {Imperial College Press}, isbn = {1-84816-197-2,978-1-84816-197-9,978-1-84816-205-1,1-84816-205-7}, year = {2008}, series = {}, edition = {}, volume = {}, } @unpublished{kauffman2020, title = {Laws of Form - An Exploration in Mathematics and Foundations}, author = {Louis H. Kauffman}, year = {2020}, note = {Rough draft}, url = {http://homepages.math.uic.edu/~kauffman/Laws.pdf}, } @book{proclus1970, title = {A commentary on the first book of Euclid’s Elements. Translated, with introduction and notes, by Glen R. Morrow.}, author = {Proclus}, publisher = {Princeton University Press}, isbn = {ISBN 0-691-07160-8}, year = {1970}, series = {}, edition = {}, volume = {}, } @book{proclus1992, title = {A Commentary on the First Book of Euclid’s Elements}, author = {Proclus; Glenn R. Morrow}, publisher = {Princeton University Press}, isbn = {0691020906,9780691020907}, year = {1992}, series = {}, edition = {Paperback}, volume = {}, } @book{chaitin2003, title = {From philosophy to program size}, author = {Chaitin G.}, publisher = {Institute of Cybernetics, Tallinn Technical University}, isbn = {9985894553}, year = {2003}, series = {}, edition = {Tallinn}, volume = {}, } @book{cheng2017, title = "Beyond infinity: an expedition to the outer limits of mathematics", author = "Eugenia Cheng", year = "2017", publisher = "Basic Books", isbn = "9780465094813,0465094813", series = "", edition = "", volume = "", url = "", } @book{cheng2017-2, title = "Beyond Infinity: An Expedition to the Outer Limits of the Mathematical Universe", author = "Cheng, Eugenia", year = "2017", publisher = "Profile Books", isbn = "1781252858", series = "", edition = "", volume = "", url = "", } @book{maor1987, title = "To Infinity and Beyond: A Cultural History of the Infinite", author = "Eli Maor", year = "1987", publisher = "Birkhäuser Basel", isbn = "978-1-4612-5396-9,978-1-4612-5394-5", series = "", edition = "1", volume = "", url = "", } @book{maor1991, title = "To Infinity and Beyond: A Cultural History of the Infinite", author = "Eli Maor", publisher = "Princeton University Press", isbn = "0691025118,9780691025117", year = "1991", series = "", edition = "", volume = "", url = "", } @book{lieber2007, title = "Infinity: Beyond the Beyond the Beyond", author = "Lillian R. Lieber, Hugh Gray Lieber, Barry Mazur", year = "2007", publisher = "Paul Dry Books", isbn = "1589880366,9781589880368,0030295408,9780030295409", series = "", edition = "1", volume = "", url = "", } @book{zippin2000, author = "Zippin, Leo", title = "Uses of Infinity", publisher = "Dover Publications", isbn = "0486411788,9780486411781", year = "2000", series = "", edition = "", volume = "", url = "", } @book{vilenkin1995, author = "Vilenkin, N.Ya.", title = "In search of infinity", publisher = "Birkhäuser", isbn = "0817638199,9780817638191,3764338199", year = "1995", series = "", edition = "1", volume = "", url = "", } @book{peter2010, author = "Rozsa Peter, Z. P. Dienes", title = "Playing with Infinity. Mathematical Explorations and Excursions", publisher = "Dover Publications", isbn = "9780486232652,0486232654", year = "2010", series = "", edition = "", volume = "", url = "", } @book{reid1964, author = "C., Reid", title = "From Zero to Infinity: What Makes Numbers Interesting Expanded Edition", publisher = "Thomas Y. Crowell", isbn = "", year = "1964", series = "", edition = "3ed.", volume = "", url = "", } @book{guillen1983, author = "Guillen, Michael", title = "Bridges to Infinity: The Human Side of Mathematics", publisher = "Tarcher", isbn = "9780874772333,0874772338", year = "1983", series = "", edition = "1st", volume = "", url = "", } @book{joseph2009, author = "Joseph, George Gheverghese", title = "A Passage to Infinity: Medieval Indian Mathematics from Kerala and Its Impact", publisher = "", isbn = "8132101685,9788132101680", year = "2009", series = "", edition = "", volume = "", url = "", } @book{smullyan1992, author = "Smullyan, Raymond M.", title = "Satan, Cantor, And Infinity and Other Mind-Boggling Puzzles", publisher = "", isbn = "0679406883,9780679406884,0192861611,9780192861610", year = "1992", series = "", edition = "", volume = "", url = "", } @book{stillwell2010, author = "Stillwell, John C.", title = "Roads to Infinity: The Mathematics of Truth and Proof", publisher = "A K Peters", isbn = "1568814666,9781568814667", year = "2010", series = "", edition = "", volume = "", url = "", } @book{stewart1996, author = "Stewart, Ian", title = "From here to infinity", publisher = "Oxford University Press", isbn = "0192832026,9780192832023", year = "1996", series = "", edition = "Rev Sub", volume = "", url = "", } @book{faticoni2006, author = "Faticoni, Theodore G.", title = "The Mathematics of Infinity: A Guide to Great Ideas", publisher = "Wiley-Interscience", isbn = "0471794325,9780471794325", year = "2006", series = "Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts", edition = "1", volume = "", url = "", } @book{faticoni2012, author = "Theodore G. Faticoni", title = "The Mathematics of Infinity: A Guide to Great Ideas", publisher = "Wiley", isbn = "9781118204481,9781118243879", year = "2012", series = "", edition = "2", volume = "", url = "", } @book{stewart2013, author = "Stewart, Ian", title = "Visions of Infinity: The Great Mathematical Problems", publisher = "Basic Books", isbn = "9780465022403,9780465022403", year = "2013", series = "", edition = "", volume = "", url = "", } @book{sheppard2014, author = "Sheppard, Barnaby", title = "The Logic of Infinity", publisher = "Cambridge University Press", isbn = "1107058317,9781107058316", year = "2014", series = "", edition = "1", volume = "", url = "", } @book{clegg2013, author = "Clegg, Brian", title = "Introducing Infinity: A Graphic Guide", publisher = "Icon Books", isbn = "184831406X,9781848314061", year = "2013", series = "", edition = "", volume = "", url = "", } @book{clegg2013-2, author = "Clegg, Brian", title = "A Brief History of Infinity: The Quest to Think the Unthinkable", publisher = "Robinson", isbn = "9781472107640,9781841196503", year = "2013", series = "", edition = "", volume = "", url = "", } @book{sondheimer1981, author = "Rogerson, Alan; Sondheimer, E. H", title = "Numbers and infinity: a historical account of mathematical concepts", publisher = "Cambridge University Press", isbn = "9780521240918,0521240913,9780521284332,0521284333", year = "1981", series = "", edition = "", volume = "", url = "", } @book{wallace2010, author = "David Foster Wallace, Neal Stephenson", title = "Everything and More: A Compact History of Infinity", publisher = "W. W. Norton \& Company", isbn = "0393339289,9780393339284", year = "2010", series = "", edition = "Reissue", volume = "", url = "", } @book{huemer2016, author = "Michael Huemer", title = "Approaching Infinity", publisher = "Palgrave Macmillan UK", isbn = "978-1-137-56086-5,978-1-137-56087-2", year = "2016", series = "", edition = "1", volume = "", url = "", } @book{peterson2001, author = "Peterson, Ivars", title = "Fragments of infinity", publisher = "John Wiley and sons", isbn = "0471165581,2001024026", year = "2001", series = "", edition = "", volume = "", url = "", } @book{waring2012, author = "Waring, Chris", title = "From 0 to Infinity in 26 Centuries: The Extraordinary Story of Maths", publisher = "Michael O'Mara", isbn = "1843178737,9781843178736", year = "2012", series = "", edition = "", volume = "", url = "", } @book{weyl2012, author = "Weyl, Hermann", title = "Levels of Infinity: Selected Papers on Mathematics and Philosophy", publisher = "Dover", isbn = "978-0-486-48903-2,0-486-48903-5", year = "2012", series = "", edition = "", volume = "", url = "", } @book{heller2011, author = "Michael Heller, W. Hugh Woodin", title = "Infinity: New Research Frontiers", publisher = "Cambridge University Press", isbn = "1107003873,978-1-107-00387-3", year = "2011", series = "", edition = "0", volume = "", url = "", } @book{kantor2009, author = "Loren Graham and Jean-Michel Kantor", title = "Naming Infinity: A True Story of Religious Mysticism and Mathematical Creativity", publisher = "", isbn = "0674032934,9780674032934,0674053915,9780674053915", year = "2009", series = "", edition = "1", volume = "", url = "", } @book{kanigel1991, author = "Kanigel, Robert", title = "The man who knew infinity: a life of the genius Ramanujan", publisher = "Washington Square Press", isbn = "9780671750619,0671750615", year = "1991", series = "", edition = "5", volume = "", url = "", } @book{stewart2014, title = "Em Busca do Infinito - Uma história da Matemática dos primeiro números à teoria do caos", author = "Ian Stewart", publisher = "Zahar", isbn = "9788537811931", year = "2014", series = "", edition = "1", volume = "", url = "", } @book{strogatz2022, title = "O poder do infinito", author = "Steven Strogatz", year = "2022", publisher = "Sextante", isbn = "9786555643022", series = "", edition = "1ª", volume = "", url = "", } @book{aczel2011, title = "The mystery of the aleph: mathematics, the kabbalah, and the search for infinity", author = "Aczel, Amir D.", year = "2011", publisher = "Washington Square Press", isbn = "9780743422994,0743422996", series = "", edition = "", volume = "", url = "", } @book{hughes1976, title = "Vicious Circles and Infinity: A Panoply of Paradoxes", author = "Patrick Hughes and George Brecht", year = "1976", publisher = "Jonathan Cape Ltd", isbn = "0224011863,9780224011860", series = "", edition = "", volume = "", url = "", }