In hmolscience, social Newton term analysis, aka "Beg analysis" (Thims, 2014), refers to key term dominance usage of social Newtons; some of which are listed below, for comparison. [N1]

Empedocles | Secular monist
In 450BC, Greek thinker Empedocles published his philosophy; which only exists now in fragments; his main key terms are shown below:

Scientific terms
Religious termsElements
Metaphysical

 Earth
Air
Water
Fire		 Love
Hate
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(add discussion)

Buchner | Atheist monist
In 1855, German physicist Ludwig Buchner (SN:9) published his Force and Matter; the following shows the key term usage count: [1]

Scientific terms
Religious termsElements
Metaphysical
Force (Ѻ) | 100+
Matter (Ѻ) | 100+
Work (Ѻ) | 88+
Power (Ѻ) | 84+
Motion (Ѻ) | 61+
Chemical (Ѻ) | 54+
Heat (Ѻ) | 40+
Mechanical (Ѻ) | 39+
Atom (Ѻ) | 33+
Energy (Ѻ) | 30+
Molecule (Ѻ) | 20+
Electricity (Ѻ) | 19+ Affinity (Ѻ) | 9+
Affinities (Ѻ) | 3+
Bond (Ѻ) | 0+ 		Soul (Ѻ) | 75+
God (Ѻ) | 65+
Spirit (Ѻ) | 45+ 		Hydrogen (Ѻ) | 16+
Oxygen (Ѻ) | 16+
Carbon (Ѻ) | 15+
Iron (Ѻ) | 12+
Phosphorus (Ѻ) | 3+
Sulphur (Ѻ) | 2+
Nitrogen (Ѻ) | 7+
Calcium (Ѻ) | 3+
etc. 		Life (Ѻ) | 100+
Death (Ѻ) | 50+
Love (Ѻ) | 21+
Evil (Ѻ) | 18+
Ether (Ѻ) | 13+
Hate (Ѻ) | 0+ 		Ludwig Buchner ns
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Buchner, of note, seems to be jettisoning "god" as a functionable concept, yet retaining "soul" as a possible force/matter/motion-based reformulation, possibly.

Carey | Secular monist
In 1858, American sociologist Henry Carey (SN:8) published his The Principles of Social Science; the following shows the key term usage count for volume one: [2]

Scientific terms
Religious termsElements
Metaphysical
Motion (Ѻ) | 85+
Power (Ѻ) | 84+
Force (Ѻ) | 83+
Matter (Ѻ) | 83+
Work (Ѻ) | 82+
Chemical (Ѻ) | 64+
Mechanical (Ѻ) | 46+
Heat (Ѻ) | 22+
Atom (Ѻ) | 17+
Electricity (Ѻ) | 12+
Energy (Ѻ) | 7+
Bond (Ѻ) | 3+
Affinity (Ѻ) | 2+
Affinities (Ѻ) | 1+
Molecule (Ѻ) | 1+ 		God (Ѻ) | 15+ Spirit (Ѻ) | 12+
Soul (Ѻ) | 3+		 Iron (Ѻ) | 54+
Oxygen (Ѻ) | 13+ Carbon (Ѻ) | 12+
Hydrogen (Ѻ) | 5+
Nitrogen (Ѻ) | 4+
Sulphur (Ѻ) | 1+
Phosphorus (Ѻ) | 1+
Calcium (Ѻ) | 0+
etc.		 Life (Ѻ) | 83+
Death (Ѻ) | 41+
Evil (Ѻ) | 10+
Love (Ѻ) | 3+
Ether (Ѻ) | 0+
Hate (Ѻ) | 0+ 		Henry Carey ns
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(add discussion)

Bray | Theist monist
In 1910, American polymath Henry Bray (SN:20) published his The Living Universe; the following shows the key term usage count of this work: [3]

Scientific terms
Religious termsElements
Metaphysical
Force (Ѻ) | 100+
Matter (Ѻ) | 100+
Power (Ѻ) | 81+
Atom (Ѻ) | 78+
Work (Ѻ) | 75+
Motion (Ѻ) | 61+
Molecule (Ѻ) | 46+
Heat (Ѻ) | 45+
Chemical (Ѻ) | 31+
Energy (Ѻ) | 30+
Affinity (Ѻ) | 14+
Affinities (Ѻ) | 10+
Electricity (Ѻ) | 5+
Mechanical (Ѻ) | 5+
Bond (Ѻ) | 1+ 		God (Ѻ) | 82+
Soul (Ѻ) | 52+
Spirit (Ѻ) | 22+		Hydrogen (Ѻ) | 38+
Iron (Ѻ) | 23+
Oxygen (Ѻ) | 20+
Carbon (Ѻ) | 13+
Sulphur (Ѻ) | 8+
Nitrogen (Ѻ) | 7+
Phosphorus (Ѻ) | 4+
Calcium (Ѻ) | 3+
etc.		 Life (Ѻ) | 100+
Death (Ѻ) | 73+
Love (Ѻ) | 29+
Ether (Ѻ) | 22+
Evil (Ѻ) | 10+
Hate (Ѻ) | 4+ 		Henry Bray ns
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Bray, here, to summarize, aims to repackage a quasi-materialistic model of religion, with sort of "god = force" model of everything, in short.

The terms: "thermodynamics", "entropy", and "reaction", to note, are not employed by Bray.

Pareto | TYPE monist
In 1912, Italian engineer-sociologist Vilfredo Pareto (SN:3) published his Treatise on General Sociology, in four volumes; the following is a work-in-progress key term usage count for all four volumes: [4]

Scientific terms
SciencesElements

Matter [301] (Ѻ):78+; (Ѻ):59+; (Ѻ):89+; (Ѻ):75+
Force [271] (Ѻ):54+; (Ѻ):46+; (Ѻ):83+; (Ѻ):88+
Power [245] (Ѻ):44+; (Ѻ):38+; (Ѻ):69+; (Ѻ):94+
Energy [27] (Ѻ):1+; (Ѻ):4+; (Ѻ):3+; (Ѻ):19+
Heat [19] (Ѻ):2+; (Ѻ):7+; (Ѻ):3+; (Ѻ):7+
Molecule [7] (Ѻ):V4
Atom [5] (Ѻ):1+; (Ѻ):0+; (Ѻ):1+; (Ѻ):3+
Affinity [2] (Ѻ):1+; (Ѻ):0+; (Ѻ):1+; (Ѻ):0+
Entropy [1] (Ѻ):V4 		Mechanics [42] (Ѻ):23+; (Ѻ):2+; (Ѻ):9+; (Ѻ):8+
Chemistry [40] (Ѻ):24+; (Ѻ):1+; (Ѻ):7+; (Ѻ):8+
Mathematics [32] (Ѻ):22+; (Ѻ):0+; (Ѻ):7+; (Ѻ):3+
Physics [26] (Ѻ):15+; (Ѻ):0+; (Ѻ):7+; (Ѻ):4+
Thermodynamics [6] (Ѻ):2+; (Ѻ):0+; (Ѻ):2+; (Ѻ):2+		 Oxygen [5] (Ѻ):4+; (Ѻ):1+; (Ѻ):0+; (Ѻ):0+
Hydrogen [3] (Ѻ):V1
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The usage of "matter", here, seems to be mostly, vol three aside, in figure of speech, e.g. "as a matter of fact"; not in the Buchner "force and matter" sense.

Religious termsMetaphysical
God [265] (Ѻ):44+; (Ѻ):87+; (Ѻ):85+; (Ѻ):49+
Soul [134] (Ѻ):25+; (Ѻ):37+; (Ѻ):47+; (Ѻ):25+
Spirit [93] (Ѻ):14+; (Ѻ):22+; (Ѻ):32+; (Ѻ):25+ 		Life [326] (Ѻ):70+; (Ѻ):89+; (Ѻ):81+; (Ѻ):86+
Death [146] (Ѻ):37+; (Ѻ):42+; (Ѻ):42+; (Ѻ):25+
Evil [130] (Ѻ):18+; (Ѻ):44+; (Ѻ):38+; (Ѻ):30+
Love [105] (Ѻ):18+; (Ѻ):32+; (Ѻ):35+; (Ѻ):20+
Hate [20] (Ѻ):2+; (Ѻ):10+; (Ѻ):5+; (Ѻ):3+
Ether [2] (Ѻ):1+; (Ѻ):0+; (Ѻ):1+; (Ѻ):0+ 		Vilfredo Pareto ns
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(add discussion)
Lewis thermodynamics (1923)


Lewis | Affinity → Free energy
In 1923, Gilbert Lewis published his Thermodynamics and the Free Energy of Chemical Substances, the nearly century-long culmination of Berthollet’s affinity theory (1798) to the “thermal theory of affinity” (1854-1864), which became usurped by the “thermodynamic theory of affinity” (1882), which led to the replacement of the term "affinity" by the term "free energy" throughout the English speaking world, as summarized by Henry Leicester (1959).

A to dG (1923)

This marked a huge turning point in any and all "theory of everything" conceptual and terminological basis, in the decades to follow. All the previous centuries matter and motion theories, in short, invariably became human free energy theories, or affinity, aka the "force of reaction", and Gibbs energy theories defined by chemical thermodynamics.

Owing to this transition, social Newton's, of the stature, depth, and intellectual broadness, of the Buchner, Carey, Bray, Pareto variety, in the decades to follow the wake of Lewis, became somewhat of an extreme rarity, owing to generally the resulting effect that Lewis became the key that opened the door to Gibbs, according to which the newly-being synthesized keen perspicacious mind, formed in the 1930s and thereafter, finding the Lewis key, would open the door to Gibbs and be intellectually flooded with Gibbs' precisely-numbered set of 700-equations, fortified from the bottom by Clausius and graphical thermodynamics analysis of chemical substances, to say the least.

Pakistani organometallic chemist Mirza Beg, outlined below, seems to be the one anomaly of the entire 20th century able to "pull a Pareto" so to say, which was no doubt powered by the fervency of his religious faith, in some way. Beg's book, however, is not in Google Books; hence page-count term analysis is hindered.

Beg (chapter 7)
Beg's chapter five, wherein he states directly that macro-system free energy is the measure of the sum of the micro-interaction affinities, and that the former is the "driving force" of social interaction and change; a very decisive moment in the history of affinity theory, in particular, and theories of everything in particular. [5]
Beg | Theist monist
In 1987, Pakistani organometallic chemist Mirza Beg (SNE:4) published his New Dimensions in Sociology: a Physico-Chemical Approach to Human Behavior; the following is table of contents:

§1. Human behaviour and physico-chemical laws | pg. 1
§2. Solutions and the society | pg. 23
§3. Assimilation | pg. 48
§4. Human interaction and the socialization process | pg.70
§5. Affinity and socialization | pg. 94
§6. Polarizing forces and mind-body split or munafaqt | pg. 114
§7. Decline of societies and entropy changes | pg. 134
§8. Anti-bonding forces and motivation | pg. 163
§9. Environmental adjustment | pg. 184

Although key work analysis is not yet completed for Beg (it has to be done by manually, page-by-page skimming), being that his work is not in Google Books, what is notable about Beg is that in his chapter five "Affinity and Socialization", shown adjacent, he makes the first direct explicit sociological connection between affinity and free energy.

Beg, to note, was lured into this completing this publication by doing his own physicochemical key term borrowing usage analysis (see: Beg analysis) employed in the humanities, business, and government lectures he attended in 1974.

Notes
N1. Note: this page came into inception amid dissection of the 1910 work of theistic monist Henry Bray who is right before the cusp of the 1923 Lewis-mediated global switch from affinity-based thinking to free energy-based thinking; the latter concept supplanting and absorbing the former.

References
1. Buchner, Ludwig. (1855). Force and Matter: Principles of the Natural Order of the Universe, with a System of Morality Based Thereon (15th German edition; 4th English edition). London: Asher and Co, 1891.
2. Carey, Henry C. (1858-59). The Principles of Social Science (Vol I , Vol II, Vol III). J.B. Lippincott & Co.
3. Bray, Henry T. (1910). The Living Universe. Truro Publishing Co., 1920.
4. (a) Pareto, Vilfredo. (1935). The Mind and Society: Trattato di sociologia generale (Volume One). AMS Press.
(b) Pareto, Vilfredo. (1935). The Mind and Society: Trattato di sociologia generale (Volume Two). AMS Press.
(c) Pareto, Vilfredo. (1935). The Mind and Society: Trattato di sociologia generale (Volume Three). AMS Press.
(d) Pareto, Vilfredo. (1935). The Mind and Society: Trattato di sociologia generale (Volume Four). AMS Press.
5. Beg, Mirza Arshad Ali. (1987). New Dimensions in Sociology: a Physico-Chemical Approach to Human Behavior (abs) (intro) (pdf, annotations by Libb Thims, 2014) (individual, pg. 23). Karachi: The Hamdard Foundation.

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