HM pioneers

In hmolscience, HM pioneers, or pioneers of human mathematics, are those (8+) mathematicians, as listed below, who over the years have contributed theory and logic to the understanding of the mathematics of human existence, e.g. social mathematics.

Each person's photo-size is indicative of a combination of originality, contribution density, impact, and deepness of thought and theory penetration. Ranks of pioneers within a given year, are listed in descending order. Small quick-mark clickable icons, as described on the HT pioneers page, are used to facilitate topics and theories associated with the work of each person.

HM pioneers
The following is a chronological listing of individuals to have developed human mathematical theories, ideas, and opinions:


PioneerDateContribution





Marquis Condorcet 75Marquis Condorcet
(1743-1794)
c.1790Condorcet conceived the view that society was made up of homogeneous individuals all born equal under the law, whereby, according to such homogeneity, it should be possible to discern the mathematical laws, i.e. “social mathematics”, that govern the social mechanism, that government should be the realization of natural social laws, and that people should elect key experts to run government; this, supposedly, later served as a platform for Adolphe Quetelet’s 1835 “social physics

Laplace 75 Pierre Laplace (1749-1827)
French mathematical physicist
1795His A Philosophical Essay on Probabilities, Chapter X: Application of the Calculus of Probabilities to the Moral Sciences, famous posited: “Let us apply to the political and moral sciences the method founded upon observation and upon calculus, the method which has served us so well in the natural sciences.”

George Boole 75 (right) George Boole (1815-1864)
English mathematician and philosopher
1854 Psychology iconHis An Investigation of the Laws of Thought on Which are Founded the Mathematical Theories of Logic and Probabilities utilized Boolean logic (the basis of all modern computer operations) to, in his own words: [1]

“Investigate[s] the fundamental laws of those operations of the mind by which reasoning is performed; to give expression to them in the symbolic language of a calculus, and upon this foundation to establish the science of logic and construct its method.”

He outlined a mathematical theory of the way in which a mind most readily accumulates knowledge.

Francis Edgeworth 75Francis Edgeworth (1845-1926)
Irish mathematical economist
1881 Scales icon 26x20|Economics iconHis Mathematical Psychics: An Essay on the Application of Mathematics to the Moral Sciences, the beginning of his long career in the subject, said to be notoriously difficult to read, outlines a “tentative study” of the creative applications of mathematics to economic or moral issues.

Nicolas Rashevsky 75Nicolas Rashevsky (1899-1972)
Russian-born American thermodynamicist, theoretical biologist, and sociologist
1935His article turned chapter "Mathematical Theory of Human Relations" builds on the work of Alfred Lotka to attempt to derive mathematical equations for things such as ‘desire’ and ‘will’, in terms of concepts such as intensities and physical forces.

John Gottman 75 John Gottman (1942-)
American mathematical psychologist
c.1972 Love iconIn the early 1970s, after a degree[s] mathematics at MIT, he applied mathematics the study of the dynamics of marriage, which, following a two-decade long research project, he found that stable long-term marriages have a 5-to-1 ratio of attractive-to-repulsive bonding interaction, a ratio now called the Gottman stability ratio; the results of his study were famously published in his 1995 book Why Marriages Succeed or Fail; a followup book is: The Mathematics of Marriage: Dynamic Nonlinear Models (2005) co-written with James Murray, Catherine Swanson, Rebecca Tyson, and Kristin Swanson.





Steven Strogatz 75 Steven Strogatz (1959-)
American applied mathematician
1986 Completed his PhD at Harvard in with a dissertation on the “The Mathematical Structure of the Human Sleep-wake Cycle”; his 1988 “Love Affairs and Differential Equations” attempts a differential equation formulation for the equation of love, wherein he explains how he teaches students about ordinary coupled differential equations using examples of variations of levels or ratios of love and hate [similar to the Gottman stability ratio] in Shakespeare-style Romeo and Juliet type relationships; he continues with these types of applications in his 2003 Sync: the Emerging Science of Spontaneous Order along with other articles, such as Energy Landscape of Social Balance” (2009).





Jose-Manuel Rey 75Jose-Manuel Rey (c.1975-)
Spanish mathematical economist
2010Love iconHis “A Mathematical Model of Sentimental Dynamics Accounting for Marital Dissolution”, builds on the work of John Gottman, to attempt to formulaically and graphically explain marital dissolution using a metaphorical version of the second law to indicate that “indicate that the feeling of attachment in a relationship ‘cools down’ (thermal word) as time evolves—unless energy in form of effort is supplied to keep things alive.”





See also
HT pioneers (490+)
HC pioneers (70+)
HP pioneers (20+)
HMS pioneers (120+)
● Human mathematics (objections to)

References
1. The Laws of Human Thought – Wikipedia.
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