In terms, Holbachian geometrician (TR:5) (LH:2) (TL:7) is a hypothetical higher mind-type intellect, named the "geometrician", with an understanding capacitated, by knowing all the energies acting in each case, to rate all the action and re-actions of the minds and bodies of a given society, and therefrom predict exactly how each particle and person will act, be it in a whirlwind of dust or a social revolution.
In 1770, Baron Holbach, in his System of Nature, posited a highly-intelligent mind, who "exactly knew the different energies acting in each case, with the properties of the particles moved" could thereby demonstrate, through equations for formulas, that after the causes given, "each particle (or person) acted precisely as it ought to act, and that it could not have acted otherwise than it did".
In early 1770s, Pierre Laplace, then aged 20s, read Holbach's The System of Nature, and soon their after became his disciple.
In 1773, Laplace, in his "Research on the Integration of Differential Equations with Finite Differences and their use in the Theory of Randomness", read to the Royal Academy, is said to have stated an early version of what would later become, famously, Laplace's demon.
In 1923, Gilbert Lewis, having spent 25-year calculating the free energies of chemical species, published Thermodynamics: and the Free Energy of Chemical Substances, therein becoming the realization of Holbach's geometrician.
The following are quotes:
- “Two examples will serve to throw the principle here laid down, into light—one shall be taken from physics, the other from morals. In a whirlwind of dust, raised by elemental force, confused as it appears to our eyes, in the most frightful tempest excited by contrary winds, when the waves roll high as mountains, there is NOT a single particle of dust, or drop of water, that has been placed by ‘chance’, that has not a cause for occupying the place where it is found; that does not, in the most rigorous sense of the word, act after the manner in which it ought to act; that is, according to its own peculiar essence, and that of the beings from whom it receives this communicated force. A geometrician exactly knew the different energies acting in each case, with the properties of the particles moved, could demonstrate that after the causes given, each particle acted precisely as it ought to act, and that it could not have acted otherwise than it did. In those terrible convulsions that sometimes agitate political societies, shake their foundations, and frequently produce the overthrow of an empire; there is not a single action, a single word, a single thought, a single will, a single passion in the agents, whether they act as destroyers, or as victims, that is not the necessary result of the causes operating; that does not act, as, of necessity, it must act, from the peculiar essence of the beings who give the impulse, and that of the agents who receive it, according to the situation these agents fill in the moral whirlwind. This could be evidently proved by an understanding capacitated to rate all the action and re-action, of the minds and bodies of those who contributed to the revolution.”
- Holbach’s geometrician – Hmolpedia 2020.