aboutsummaryrefslogtreecommitdiff
path: root/math.bib
blob: a4e6229ec317d323e2a763f7cee0560e37364e9a (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
% Encoding: UTF-8

%
% Math
%

@book{shannon1963,
  title     = {The Mathematical Theory of Communication},
  author    = {Claude E Shannon, Warren Weaver},
  publisher = {U. Illinois},
  isbn      = {9780252725487,0252725484},
  year      = {1963},
  series    = {},
  edition   = {},
  volume    = {},
}

@article{shannon1948,
  title     = {A Mathematical Theory of Communication},
  author    = {C. E. Shannon},
  doi       = {10.1002/j.1538-7305.1948.tb01338.x},
  url       = {https://doi.org/10.1002%2Fj.1538-7305.1948.tb01338.x},
  year      = {1948},
  month     = {jul},
  publisher = {Institute of Electrical and Electronics Engineers ({IEEE})},
  volume    = {27},
  number    = {3},
  pages     = {379--423},
  journal   = {Bell System Technical Journal}
}

@article{shannon1949,
  doi     = {10.1002/j.1538-7305.1949.tb00928.x},
  title   = {Communication Theory of Secrecy Systems*},
  author  = {Shannon, C. E.},
  journal = {Bell System Technical Journal},
  issnp   = {0005-8580},
  year    = {1949},
  month   = {10},
  volume  = {28},
  issue   = {4},
  page    = {656--715},
}

@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, Christos H. Papadimitriou, Hilary W. Putnam, Dana S. Scott, 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; Gödel, Kurt Friedrich; Smith, Peter; 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    = {},
}

@article{hartley1928,
  doi       = {10.1002/j.1538-7305.1928.tb01236.x},
  title     = {Transmission of Information 1},
  author    = {Hartley, R. V. L.},
  journal   = {Bell System Technical Journal},
  issn      = {0005-8580},
  year      = {1928},
  volume    = {7},
  issue     = {3},
  pages     = {535--563},
  url       = {http://doi.org/10.1002/j.1538-7305.1928.tb01236.x}
}

@article{nyquist1924,
  doi       = {10.1002/j.1538-7305.1924.tb01361.x},
  title     = {Certain Factors Affecting Telegraph Speed 1},
  author    = {Nyquist, H.},
  journal   = {Bell System Technical Journal},
  issn      = {0005-8580},
  year      = {1924},
  volume    = {3},
  issue     = {2},
  pages     = {324--346},
  url       = {http://doi.org/10.1002/j.1538-7305.1924.tb01361.x}
}

@book{shannon1993,
  title     = {Collected Papers of Claude E. Shannon},
  author    = {Claude E. Shannon, N.J.A. Sloane, Aaron D. Wyner},
  publisher = {IEEE Press},
  isbn      = {978-0-7803-0434-5},
  year      = {1993},
  series    = {},
  edition   = {1},
  volume    = {},
}