Mathematics of Man Observatory


Mathematics of Man Observatory

In 1954 K Levi-Strauss introduced a new term-"Mathematics of Man" as an area of the ultimate cooperation between algebraic topology and pure anthropology.His first experiments in such sort of mathematics of man were made with great Andre Weil...

Website: http://mathOmanobservatory
Location: Oxford
Members: 9
Latest Activity: Mar 17, 2014

Universal Classification of processes based on Catalan numbers

Discussion Forum

New face of experimental anthropology 1 Reply

  Some so-called "primitive mathematics " by ancient mathematicians is trivial, but not banal. My first attempts to reconstruct well - forgotten Plato's periodic perfect numbers in 1998-1999 were are…Continue

Started by Michael Alexeevich Popov. Last reply by Michael Alexeevich Popov Dec 22, 2010.

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Comment by Michael Alexeevich Popov on July 11, 2013 at 12:08pm


European Satellite Navigation Competition 2013  and Anwendungszentrum GmbH Oberpfaffenhofen (AZO)

Our MoM Observatory is participant of ESNC 2013 ( Entry project "Testing Einstein's Relativity" as a development of our ethnomathematical result by 2012 )

For years, AZO have been supporting Europe's space programmes in the fields of satellite navigation and Earth observation through two innovation competitions: the European Satellite Navigation Competition (ESNC) and Copernicus Masters.

ESNC13 now in evaluation phase

All complete entries for the ESNC 2013 regional and special prize challenges will now be assessed by the assigned expert panels, consisting of more than 190 international experts from industry, research, and politics. From among all the winners, the Galileo Master will be selected in a secret vote.

It is a good test for our ethnomathematics of 21st century competitiveness !


Comment by Michael Alexeevich Popov on March 16, 2013 at 2:32pm

Einstein's Ethnomathematics and Cosmology

Science standard is evolving rapidly and in comparison with Malinowski's days findings in ethnomathematics could be connected with cosmological tests of gravity as well. At least, such conclusion is suggested my participation in workshop organized by The Beecroft Institute of Particle Astrophysics and Cosmology at the University of Oxford (14th and 15th of March, 2013.)

The goal of "Cosmological Tests of Gravity" workshop is to discuss recent progress and remaining issues in developing theoretical frameworks for probing gravitational physics with upcoming cosmological surveys. Current "Zoo" of the modified gravity theories includes Chameleon/ f(R) Field Theories ,Thin-Shell Screening ,Symmetron Fields, Theories of Massive/Resonance Gravity, Fiertz-Pauli Gravity and Its Discontents, Degravitation theories, Cascading Gravity,etc...

Comment by Michael Alexeevich Popov on March 1, 2013 at 5:03pm

Social Science Open Access Repository


Einstein's Relativity as Ethnomathematics
Popov, Michael

Bitte beziehen Sie sich beim Zitieren dieses Dokumentes immer auf folgenden Persistent Identifier (PID):

Weitere Angaben:
Abstract Mathematics and Physics are different research cultures. In comparison with mathematicians, physicists in some cases try to simplify and to introduce new cultural context into conventional pure mathematics. Cross-cultural differences between these cultures can be essential and some attempts to do alternative mathematics in the physical academic context could be defined as the new fields of ethnomathematics. Einstein’s Relativity as this kind of ethnomathematics is the first considered .
Comment by Michael Alexeevich Popov on February 1, 2013 at 3:20pm

Unsolved problem of Einstein Pseudotensor

Philosophy of Physics Seminar Week 2 HT13
Date & Time 24th Jan 2013 4:30pm-6:30pm


Speaker: Dr Brian Pitts (University of Cambridge)

Title: Energy and Change in Lagrangian and Hamiltonian General Relativity

Abstract: The supposed lack of localized gravitational energy-momentum in General Relativity (GR) has inspired both absurdities and objections to GR. The Noether pseudotensor has components in every coordinate system, but no transformation law relating them as equivalent faces of one thing (not a geometric object). Bergmann noted that formally there are infinitely many conserved gravitational energy-momenta; any vector field (or basis) gives a set. One should expect inequivalent symmetries to yield inequivalent conserved quantities, so why not simply believe the mathematics’ indication of an infinite-component localized entity?

Hamiltonian GR supposedly defines change only asymptotically (if at all). But the completed Dirac-Bergmann constrained dynamics analysis of Castellani, Salisbury, Pons, and Shepley implements Hamiltonian-Lagrangian equivalence and distinguishes the 4-dimensional gauge transformation generator ("t)G(t) from the Hamiltonian H. 4-dimensional Lagrangian change is the lack of a time-like Killing vector field. Thus Hamiltonian change must be the Hamiltonian equivalent, vindicating the change-affirming common sense of Maudlin and Kuchaø from the technicalities of Earman et al. Dirac’s book notwithstanding, first-class primary constraints in GR do not always generate gauge transformations. First-class primaries appear both in H to help to generate time evolution (the lapse and shift vector values at later times) and in ("t)G(t) to help to generate coordinate transformations. Hence the conceptual side of the Dirac conjecture also fails. Gauge equivalence in GR must be understood in terms of histories, not instantaneous states as Dirac envisaged---thereby feeding in the idea that different stages of history are physically equivalent by not adequately testing the formalism on its chief example. More confusion is avoided by not introducing primitive point identities into mathematical physics. Demanding that the Lie derivative vanish for “observables” is unmotivated by comparison with 4-dimensional tensor calculus, at least if observables have something to dowith observations (as Bergmann held). He developed the notion of observables in GR by analogy to Hamiltonian electromagnetism, thus tacitly inclining toward invariance over covariance and neglecting equivalence with Lagrangian GR.


Comment by Michael Alexeevich Popov on November 7, 2012 at 3:09pm

The Story of Equations

Sir Andrew Wiles Examination School,Oxford 6.11.2012

Comments: Mathematics is not Physics and simple Physical-like empirical tests cannot be defined as a proof in mathematics. Pure mathematics ( Number theory) is very special kind of human activity where an assumption of World as Simulation is essential. Anthropology of such sort of mathematical thinking can be productive and human mathematical intuitions in the form of theorems of natural mathematics of human brain may be very unexpected,indeed.


Andrew Wiles specialises in number theory and became famous for proving Fermat’s Last Theorem. The Theorem was first conjectured in 1637 but all attempts to solve it failed until Sir Andrew Wiles published his general proof in 1995 to international acclaim. His achievement was popularised in Simon Singh’s book Fermat’s Last Theorem and BBC Two’s Horizon. He will be moving from Princeton University to take up his new Royal Society Professorship at Oxford’s Mathematical Institute and Merton College in 2011.

Comment by Michael Alexeevich Popov on September 29, 2012 at 2:43pm

Second Knowledge Exchange Seminar NSMNSS, hosted at the Oxford Internet Institute on September 26th.

This half-day session (12.30-4.30pm) focused exclusively on using quantitative methods ( visualisations , Big Data problem ) in social media research.. My contribution was connected with demonstrations of the two basic traditions in visualisation - Visualisation as Visual Story Telling (V1) and Visualisation as Investigation of Mathematical Objects ( Geometrical Modelling ) (V2). 
Unfortunately, V2 is less known in anthropology and social sciences and it could be more productive ( in comparison with V1 illustrations ), in particularly because V2 is able to understand hidden life of pure statistical  "creatures" by equations and predictions. In some  historico-anthropological sense, V2 is associated with  Levy-Strauss- Weil attempts to develop visualisation of kinship systems as a whole by methods of modular algebra.
Comment by Michael Alexeevich Popov on July 23, 2012 at 6:47pm

Mathematics of Planet Earth 2013

Dozens of scientific societies, universities, research institutes, and foundations all over the world have banded together to dedicate 2013 as a special year for the Mathematics of Planet Earth.

Our planet is the setting for dynamic processes of all sorts, including the geophysical processes in the mantle, the continents, and the oceans, the atmospheric processes that determine our weather and climates, the biological processes involving living species and their interactions, and the human processes of finance, agriculture, water, transportation, and energy. The challenges facing our planet and our civilization are multidisciplinary and multifaceted, and the mathematical sciences play a central role in the scientific effort to understand and to deal with these challenges.

The mission of the MPE project is to:

* Encourage research in identifying and solving fundamental questions about planet earth
* Encourage educators at all levels to communicate the issues related to planet earth
* Inform the public about the essential role of the mathematical sciences in facing the challenges to our planet

Comment by Michael Alexeevich Popov on July 4, 2012 at 2:13pm

Lost or anew? New Nonclassical complexity is needed

Some remarks on Next Left Paradigm

The American political traditions of progressivism and liberalism have long provided European social democracy with a rich vein of ideas and inspiration: from the progressive-liberal reformism exemplified by Franklin Delano Roosevelt’s New Deal and, later, Lyndon Johnson’s Great Society to Bill Clinton and the New Democrat’s centrist fusion of moderate economic conservatism and social liberalism they have served–up restless models for social and economic progress, ideological contestation and political revisionism. The nation’s founding ideals, the civil rights era and the traditions of democratic accountability, civic duty and Republican liberty can all be mentioned in this regard.

Today, however, progressive parties on both sides of the Atlantic appear to be disorientated and rudderless, crucially lacking the ideological and intellectual vitality which underpinned their strength in the post-war political landscape. The US political system is in a state of paralysis and Europe’s centre-left parties have lost 19 out of the 25 elections since the fall of Lehman brothers in 2008. Progressives recognise that neoliberalism proved to be a dead end. But no new variety of capitalism has emerged to fill the void. The crisis has shifted from financial market failure to sovereign debt and on to the practice of politics and democracy: it is the question of the state – its size, its role, its efficiency – and the scale of national debt and deficits that have become the central issues in a period defined by protracted periods of low growth, austerity and squeezed living standards.

Against this backdrop, this high-level conference will explore how American and European centre-left traditions are adapting to 21st century structural constraints and ideological pressures. The circumstance of western capitalist democracies will provide for a compelling comparison of how new doctrines, new concepts and new interpretations might shape the next stages of centre-left political thought and whether they afford the possibility of a paradigm shift beyond neoliberalism.

The event is organised by Policy Network in partnership with Nufflield College University of Oxford, Harvard University, Institute for Global Law and Policy, and the Foundation for European Progressive Studies (FEPS), it took place at Nuffield College in Oxford on 2-3 July, 2012.

All dimensions need balance of a new type....

Comment by Michael Alexeevich Popov on June 23, 2012 at 1:51pm

Oxford became a centre of Mathematical multiverse


The Clay Mathematics Institute announces that as of June 30, 2012, the office of its president will move from Cambridge, Massachusetts, to Oxford, UK. At that time Professor Nicholas Woodhouse of Oxford University will assume the position of president.

The primary objectives and purposes of The Clay Mathematics Institute are:

  • to increase and disseminate mathematical knowledge,
  • to educate mathematicians and other scientists about new discoveries in the field of mathematics,
  • to encourage gifted students to pursue mathematical careers,
  • and to recognize extraordinary achievements and advances in mathematical research.

The CMI will further the beauty, power and universality of mathematical thought.

The 2012 Clay Research Conference at Oxford June 18-19 (Monday and Tuesday) at Oxford University in Martin Wood Lecture Theatre of the Physics Department, in United Kingdom.

Speakers are Artur Avila, Francis Brown, Stavros Garoufalidis, Jeremy Kahn, Marc Lackenby, Vladimir Markovic and Peter Scholze.

Comment by Michael Alexeevich Popov on April 27, 2012 at 1:23pm

Martin Kemp "Leonardo' Philosophical anatomies " Green-Templeton College 26.04.12.


Indeed, probably, Leonardo uses the same fundamental theorem and his visualizations represent perfectly performed proofs ( or demonstrations ) of the same idea. My investigations suggest that it is topological generalization of the taking Four-Vertex Theorem seriously.

 However, Leonardo ( like Vladimir Arnold in 1995 ) conjectured  that counter to ordinary intuition  3-dimensional case of this theorem might be exception ! This means that Leonardo had a kind of Grand Programme of Future Mathematics (“philosophy”) where his theorem was merely a part of the whole new math...


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