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Mathematical induction
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=== History === * {{cite journal|journal=[[Archive for History of Exact Sciences]]|volume=55|issue=1|date=Aug 2000|pages=57–76|title=Plato: ''Parmenides'' 149a7-c3. A Proof by Complete Induction?|first=Fabio|last=Acerbi|doi=10.1007/s004070000020|jstor=41134098|s2cid=123045154 |url=https://www.academia.edu/8016024}} * {{cite journal|title=The Origin of Mathematical Induction|first=W. H.|jstor=2974308|last=Bussey|journal=[[The American Mathematical Monthly]]|volume=24|issue=5|year=1917|pages=199–207|doi=10.2307/2974308}} * {{cite journal|first=Florian|last=Cajori|author-link=Florian Cajori|title=Origin of the Name "Mathematical Induction" | jstor=2972638|journal=[[The American Mathematical Monthly]] | year=1918 |volume=25 |issue=5 |pages=197–201 | doi=10.2307/2972638}} * {{cite journal|last=Fowler |first=D.|author-link=David Fowler (mathematician)|year=1994|title=Could the Greeks Have Used Mathematical Induction? Did They Use It?|journal=Physis|volume=31|pages=253–265}} * {{cite journal|first=Hans|last=Freudenthal|author-link=Hans Freudenthal|year=1953|title=Zur Geschichte der vollständigen Induction|journal=[[Archives Internationales d'Histoire des Sciences]]|volume=6|pages=17–37}} * {{cite book|last=Katz|first= Victor J.|author-link=Victor J. Katz|year=1998|title=History of Mathematics: An Introduction | publisher=[[Addison-Wesley]]|isbn=0-321-01618-1}} * {{cite journal|last=Peirce|first=Charles Sanders|author-link=Charles Sanders Peirce|title=On the Logic of Number |url=https://books.google.com/books?id=LQgPAAAAIAAJ|journal=[[American Journal of Mathematics]] | volume=4 | year=1881 | number=1–4 | pages=85–95|doi=10.2307/2369151|mr=1507856 |jstor=2369151}} Reprinted (CP 3.252–288), (W 4:299–309) * {{cite journal|first=Nachum L.|last=Rabinovitch|author-link=Nahum Rabinovitch|title=Rabbi Levi Ben Gershon and the origins of mathematical induction|journal=Archive for History of Exact Sciences| year=1970| volume=6| issue=3| pages=237–248| doi=10.1007/BF00327237|mr=1554128|s2cid=119948133 }} * {{cite journal|first=Roshdi|last=Rashed|author-link=Roshdi Rashed|title=L'induction mathématique: al-Karajī, as-Samaw'al| journal=[[Archive for History of Exact Sciences]]| year=1972| volume=9| issue=1| pages=1–21| doi=10.1007/BF00348537| language=fr| mr=1554160| s2cid=124040444 }} * {{cite book|title=The Development of Arabic Mathematics: Between Arithmetic and Algebra|volume=156|series=Boston Studies in the Philosophy of Science|publisher=Springer Science & Business Media| first=R.|last=Rashed| year=1994| isbn=9780792325659| url=https://books.google.com/books?id=vSkClSvU_9AC&pg=PA62|contribution=Mathematical induction: al-Karajī and al-Samawʾal|language=en}} * {{cite book|first=Paul|last=Shields|chapter=Peirce's Axiomatization of Arithmetic|title=Studies in the Logic of Charles S. Peirce|url=https://archive.org/details/studiesinlogicof00nath|url-access=registration| pages=43–52| publisher=Indiana University Press|year=1997|mr=1720827|isbn=0-253-33020-3|editor1-first=Nathan|editor1-last=Houser| editor2-first=Don D.|editor2-last=Roberts|editor3-first=James Van|editor3-last=Evra}} * {{cite journal | url=http://web.stonehill.edu/compsci/Shai_papers/MathofLevi.pdf | first=Charles G.|last= Simonson | title=The Mathematics of Levi ben Gershon, the Ralbag | journal=Bekhol Derakhekha Daehu | publisher=Bar-Ilan University Press | volume=10 | pages=5–21 | date=Winter 2000 }} * {{cite journal|last=Unguru|first=S.|author-link=Sabetai Unguru|year=1991|title=Greek Mathematics and Mathematical Induction | journal=Physis|volume=28|pages=273–289}} * {{cite journal|last=Unguru|first=S.|author-link=Sabetai Unguru|year=1994|title=Fowling after Induction | journal=Physis | volume=31|pages=267–272}} * {{cite journal|first=G.|last=Vacca|title=Maurolycus, the First Discoverer of the Principle of Mathematical Induction | journal=[[Bulletin of the American Mathematical Society]] |year=1909| volume=16| pages=70–73| doi=10.1090/S0002-9904-1909-01860-9| issue=2| doi-access=free| mr=1558845}} * {{cite journal|title=The Use of Mathematical Induction by Abū Kāmil Shujā' Ibn Aslam (850-930)| first=Mohammad| last=Yadegari| journal=[[Isis (journal)|Isis]]| volume=69| issue=2| year=1978| pages=259–262| doi=10.1086/352009| jstor=230435| s2cid=144112534 }} {{refend}} {{Mathematical logic}} {{Authority control}} [[Category:Mathematical induction| ]] [[Category:Articles containing proofs]] [[Category:Mathematical logic]] [[Category:Methods of proof]]
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