History and Philosophy of Maths

See also Plato

@book{book:1517340,
title = {Polarity and analogy; two types of argumentation in early Greek thought.},
author = {Lloyd, Geoffrey Ernest Richard},
publisher = {University Press},
isbn = {},
year = {1966},
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url = {http://gen.lib.rus.ec/book/index.php?md5=94a46ee531ee0fd7007c71caa47a0df7}
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(Dover Books on Mathematics) Jacob Klein-Greek Mathematical Thought and the Origin of Algebra-Dover Publications (2013).epub

@book{book:1577322,
title = {Greek Mathematical Thought and the Origin of Algebra},
author = {Jacob Klein},
publisher = {Dover Publications},
isbn = {9780486272894},
year = {2013},
series = {Dover Books on Mathematics},
edition = {Revised ed.},
volume = {},
url = {http://gen.lib.rus.ec/book/index.php?md5=31d83a3a0cc16b41ca8d4d8c7380f619}
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(Ancient Culture and Society) G. E. R. Lloyd-Early Greek Science_ Thales to Aristotle-W. W. Norton & Company (1974).pdf

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title = {Early Greek Science: Thales to Aristotle},
author = {G. E. R. Lloyd},
publisher = {W. W. Norton & Company},
isbn = {0393005836,9780393005837},
year = {1974},
series = {Ancient Culture and Society},
edition = {New},
volume = {},
url = {http://gen.lib.rus.ec/book/index.php?md5=22180a167b04a288de48db4c1e6f51ae}
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G. E. R. Lloyd-Methods and Problems in Greek Science_ Selected Papers -Cambridge University Press.pdf

@book{book:738270,
title = {Methods and Problems in Greek Science: Selected Papers },
author = {G. E. R. Lloyd},
publisher = {Cambridge University Press},
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series = {},
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url = {http://gen.lib.rus.ec/book/index.php?md5=3EF6D77ED9726C807A28AEED54705971}
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@book{book:71460,
title = {Selected works of Guiseppe Peano},
author = {Giuseppe Peano, Hubert C. Kennedy},
publisher = {George Allen and Unwin, Ltd.},
isbn = {0041640020,9780041640021},
year = {1973},
series = {},
edition = {1st},
volume = {},
url = {http://gen.lib.rus.ec/book/index.php?md5=049E4A1D6C47DEA2C2A2DF10B97DB2C0}
}

Latin original:

https://archive.org/details/arithmeticespri00peangoog

@article{article,
author = {Segre, Michael},
year = {1994},
month = {09},
pages = {201-342},
title = {Peano’s axioms in their historical context},
volume = {48},
booktitle = {Archive for History of Exact Sciences}
}

(via Granstrom Treatise on Intuitionist Type Theory)

Whence Phocas in the prologue of his Grammar writes : Omnia cum veterum sint explorata libellis Multa loqui breviter sit novitatis opus. As in the books of the ancients all things have been explored, Be it the work of novelty to say much in few words.

https://archive.org/details/philobiblon00bury

Mircea Radu (and Gert Schubring and more) chapters in:

@inbook{Hoffmann-2005,
doi = {10.1007/b105055},
title = {Activity and Sign ||},
author = {Hoffmann, Michael H.G.; Lenhard, Johannes; Seeger, Falk},
isbn = {978-0-387-24269-9,978-0-387-24270-5},
year = {2005},
volume = {10.1007/b105055},
page = {–},
url = {http://gen.lib.rus.ec/scimag/index.php?s=10.1007/b105055},
}

Friederich Schleiermacher 1811 Dialectic translation by Tice:

https://books.google.com.au/books/about/Dialectic_Or_The_Art_of_Doing_Philosophy.html?id=fq2OqA-ED9kC&redir_esc=y

(Studies in the History and Philosophy of Mathematics 4) Geraldine Brady (Eds.)-From Peirce to Skolem_ A Neglected Chapter in the History of Logic-North Holland (2000).djvu

@book{book:143871,
title = {From Peirce to Skolem: A Neglected Chapter in the History of Logic},
author = {Geraldine Brady (Eds.)},
publisher = {North Holland},
isbn = {044450334X,9780444503343,9780080532028},
year = {2000},
series = {Studies in the History and Philosophy of Mathematics 4},
edition = {1},
volume = {},
url = {http://gen.lib.rus.ec/book/index.php?md5=124A6B4764E83C064F228272EC9CC0C7}
}

Max Geach Peter _ Black-Translations from the Philosophical Writings of Gottlob Frege-Basil Blackwell (1966).pdf

@book{book:211605,
title = {Translations from the Philosophical Writings of Gottlob Frege},
author = {Max Geach Peter / Black},
publisher = {Basil Blackwell},
isbn = {},
year = {1966},
series = {},
edition = {Notations},
volume = {},
url = {http://gen.lib.rus.ec/book/index.php?md5=B30008636F23D0B4DBDF2130132D1951}}

https://en.m.wikipedia.org/wiki/How_to_Solve_It

How to Solve It suggests the following steps when solving a mathematical problem:

  1. First, you have to understand the problem.[2]
  2. After understanding, make a plan.[3]
  3. Carry out the plan.[4]
  4. Look back on your work.[5] How could it be better?

If this technique fails, Pólya advises:[6] “If you can’t solve a problem, then there is an easier problem you can solve: find it.” Or: “If you cannot solve the proposed problem, try to solve first some related problem. Could you imagine a more accessible related problem?”

(Princeton paperbacks, 246) G. Polya-How to solve it_ a new aspect of mathematical method-Princeton University Press (1971).djvu

(Princeton Science Library) G. Polya-How to Solve It_ A New Aspect of Mathematical Method-Princeton University Press (2004).epub

@book{book:10068,
title = {How to solve it; a new aspect of mathematical method},
author = {G. Polya},
publisher = {Princeton University Press},
isbn = {9780691023564,9780691080970,0691023565,0691080976},
year = {1971},
series = {Princeton paperbacks, 246},
edition = {2d ed},
volume = {},
url = {http://gen.lib.rus.ec/book/index.php?md5=1E64C16E8C32DDD2DD099DB1DECAA52D}
}

William Bragg Ewald-From Kant to Hilbert_ A source book in the foundations of mathematics. Volume 1-Oxford University Press, USA (2007).djvu

@book{book:71456,
title = {From Kant to Hilbert: A source book in the foundations of mathematics},
author = {William Bragg Ewald},
publisher = {Oxford University Press, USA},
isbn = {9780198505365,0198505361,9781435609662},
year = {2007},
series = {},
edition = {OUP},
volume = {Volume 2},
url = {http://gen.lib.rus.ec/book/index.php?md5=9F8AE4CC63952F3FE462AA23FD6D7DF1}
}

William Bragg Ewald-From Kant to Hilbert_ A source book in the foundations of mathematics. Volume 2-Oxford University Press, USA (2007).djvu

@book{book:71456,
title = {From Kant to Hilbert: A source book in the foundations of mathematics},
author = {William Bragg Ewald},
publisher = {Oxford University Press, USA},
isbn = {9780198505365,0198505361,9781435609662},
year = {2007},
series = {},
edition = {OUP},
volume = {Volume 2},
url = {http://gen.lib.rus.ec/book/index.php?md5=9F8AE4CC63952F3FE462AA23FD6D7DF1}
}

David E. Rowe, John McCleary-Ideas and their Reception. Proceedings of the Symposium on the History of Modern Mathematics, Vassar College, Poughkeepsie, New York, June 20–24, 1989-Elsevier Inc, Academ.pdf

@book{book:1199621,
title = {Ideas and their Reception. Proceedings of the Symposium on the History of Modern Mathematics, Vassar College, Poughkeepsie, New York, June 20–24, 1989},
author = {David E. Rowe, John McCleary},
publisher = {Elsevier Inc, Academic Press},
isbn = {978-0-12-599661-7,0125996616},
year = {1989},
series = {},
edition = {},
volume = {},
url = {http://gen.lib.rus.ec/book/index.php?md5=cf1d08248341f5272424b91b1787d837}
}

(Source Books in History of Sciences) Jean van Heijenoort-From Frege to Godel_ A Source Book in Mathematical Logic, 1879-1931 -Harvard University Press (2002).djvu

@book{book:390382,
title = {From Frege to Godel: A Source Book in Mathematical Logic, 1879-1931 },
author = {Jean van Heijenoort},
publisher = {Harvard University Press},
isbn = {0674324498,9780674324497},
year = {2002},
series = {Source Books in History of Sciences},
edition = {},
volume = {},
url = {http://gen.lib.rus.ec/book/index.php?md5=C4F99E573364BE064DC1826FEA5C6283}
}

 

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