101 citations · 389 across the 22 of their papers we have counts for
6 papers · 1 filter
Time and periodicity from Ptolemy to Schroedinger: paradigm shifts vs continuity
Yuri I. Manin
I briefly consider the Kuhnian notion of "paradigm shifts" applied to the history of mathematics and argue that the succession and intergenerational continuity of mathematical thou…
Neural codes and homotopy types: mathematical models of place field recognition
Yuri I. Manin
This note is a brief survey of some results of the recent collaboration of neurobiologists and mathematicians dedicated to stimulus reconstruction from neuronal spiking activity. T…
Forgotten Motives: the Varieties of Scientific Experience
Yuri I. Manin
Personal recollections about Alexandre Grothendieck and early days of his theory of motives
Kolmogorov complexity as a hidden factor of scientific discourse: from Newton's law to data mining
Yuri I. Manin
The word "complexity" is most often used as a meta--linguistic expression referring to certain intuitive characteristics of a natural system and/or its scientific description. Thes…
Foundations as Superstructure. (Reflections of a practicing mathematician)
Yuri I. Manin
This talk presents foundations of mathematics as a historically variable set of principles appealing to various modes of human intuition and devoid of any prescriptive/prohibitive…
Mathematical knowledge: internal, social and cultural aspects
Yu. I. Manin
I discuss some general aspects of the creation, interpretation, and reception of mathematics as a part of civilization and culture.