P.-V. is totally agreeing with this!

P.-V.: s'associe totalement a ce que Mark Thoma et Alfred Marshall ont dit:

'In 1906 Alfred Marshall wrote about his skepticism regarding the use of mathematics in economics:

[I had] a growing feeling in the later years of my work at the subject that a good mathematical theorem dealing with economic hypotheses was very unlikely to be good economics: and I went more and more on the rules - (1) Use mathematics as a shorthand language, rather than an engine of inquiry. (2) Keep to them till you have done. (3) Translate into English. (4) Then illustrate by examples that are important in real life. (5) Burn the mathematics. (6) If you can't succeed in (4), burn (3). This last I did often.



I don't mind the mathematics, it's useful and necessary, but it's too bad the history of economic thought is no longer required or even offered in many graduate and undergraduate programs. That's a loss.'

Et P.-V. pense que...(...

'Chaos theory

The theory of dynamical systems, as a mathematical discipline, deals generally with the time development of systems in their phase space, i.e., in the space of their possible dynamical states. The time development is described as a mapping of phase space into itself, either discrete or as a continuous flow. The phase space may be as simple as a one-dimensional interval (logistic map) or a square (Smale's horseshoe map); it may be an ordinary  n-space (Lorenz system, homogeneous chemical reaction systems), the  2f-dimensional cotangent bundle of a mechanical system with  f degrees of freedom, or an infinite-dimensional space of functions or fields in cases where the system is described by partial differential equations, such as in hydrodynamics, plasma physics, or quantum theory. The dynamics is called conservative or dissipative depending on whether or not an initially given phase space volume is preserved during the time development. It is called deterministic in case the state at time  t determines a unique future, or stochastic in case random fluctuations necessitate the use of probabilistic methods. '

...)...

...quand...

...le 'chaos' ne joue plus le role preponderant (i.e. transformation 'chaos'  ->  'ordre', entropie -> 0, ou bien 'etre dieu?') , alors on pourra 'peut-etre commencer a?' prendre en compte l'utilisation des maths dans les sciences eco'...

(mais bon, ceci signifierait aussi a connaitre, au prealable, les numeros gagnants a chaque tirage du loto)...


tout en ajoutant quand meme (en resumant) que des bonnes connaissances en la matiere(s) aident a avoir une 'certaine' discipline (= tendance 'conservatrice') dans la consequence des analyses des pensees et des idees dans les sciences economiques. Le reste est 'instinct' et 'ouverture d'esprit' (= tendance liberale)...