Cinq critiques de la mathématisation du monde
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Math�matiser le monde est une �vidence sans m�me s'interroger qu'il puisse en �tre autrement. Or, cette math�matisation fait l'hypoth�se que l'ordre calculable serait inscrit dans les choses comme un secret � manifester dans toute la lumi�re des �quations. Cette math�matisation est un projet philosophique, voire une artificialisation du monde par sa soumission � quelques lois primitives. Il s'ensuit une emprise cognitive de l'�vidence qui irradie les esprits depuis les pythagoriciens. Nos cinq critiques la contestent et elles se font sous plusieurs aspects.
La premi�re, psychologique, analyse les raisons de cette obsession des grandeurs et de la quantification qui rel�ve d'une authentique pathologie.
La seconde, historique, d�crit ce r�gne des nombres et des statistiques qui se d�veloppe dans une rh�torique conqu�rante, manipulatrice et dominatrice dans l'administration rationnelle des modernes.
La troisi�me, logique, �tudie la pratique instrumentale des math�maticiens qui occulte la crise des fondements dans un d�ni des r�alit�s dont celui du travail d'engendrement du langage symbolique.
La quatri�me, �pist�mologique, mesure l'insuffisance de ces langages formalis�s qui d�forment la recherche jusqu'� sa distorsion, justifiant la r�pression sociale.
La cinqui�me, ph�nom�nologique, s'int�resse � la fuite en avant de la cybern�tique dans sa fr�n�sie de codification en vue d'une r�duction � la calculabilit� qui culmine dans la violence symbolique jusqu'� devenir attentatoire � la dignit� de l'homme, feignant de lui �ter sa conscience d'�tre dans l'intelligence artificielle.
Pontoizeau, Pierre-Antoine: - Pierre-Antoine Pontoizeau est philosophe des mathématiques et épistémologue. Il publie Penser au-delà des mathématiques en 2012 et continue ses recherches en logique, histoire et phénoménologie des mathématiques. Directeur des Cahiers de psychologie politique, il s'intéresse aussi à la dimension psychologique et sociale de la pratique mathématique et de son usage dans tous les domaines: politique, économique, informatique.
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