Editing 1965 in science (section)

==Mathematics==
* [[James Ax]] and [[Simon B. Kochen]] make the first proof of the [[Ax–Kochen theorem]].<ref>{{cite journal|first1=James|last1=Ax|first2=Simon|last2=Kochen|title=Diophantine problems over local fields, I|journal=[[American Journal of Mathematics]]|volume=87|pages=605–630|year=1965|issue=3|doi=10.2307/2373065|jstor=2373065}}</ref>
* [[James Cooley]] and [[John Tukey]] publish the general version of the [[Fast Fourier transform]] which becomes known as the [[Cooley–Tukey FFT algorithm]]<ref>{{cite journal|title=An algorithm for the machine calculation of complex Fourier series|url=https://www.ams.org/mcom/1965-19-090/S0025-5718-1965-0178586-1/|journal=[[Mathematics of Computation]]|date=1965|issn=0025-5718|pages=297–301|volume=19|issue=90|doi=10.1090/S0025-5718-1965-0178586-1|author-first1=James W.|author-last1=Cooley|author-first2=John W.|author-last2=Tukey|access-date=2017-12-30|doi-access=free}}</ref> and significant in [[digital signal processing]].
* [[Lotfi Zadeh]] develops [[fuzzy logic]].<ref>{{cite book|first=Tony|last=Crilly|title=50 Mathematical Ideas You Really Need to Know|location=London|publisher=Quercus|year=2007|isbn=978-1-84724-008-8|page=65}}</ref>