Facundo Martin

Resumen: En este trabajo voy a intentar una crítica inmanente del “monismo moral” de Axel Honneth desde el punto de vista de la lectura categorial del capital reconstruida por Moishe Postone. Críticos de Honneth como Nancy Fraser han señalado que los mercados modernos no podrían reconstruirse exhaustivamente en términos morales. Recuperando la crítica inmanente de la sociedad capitalista de Postone, sostendré que puede reconstruirse el cómo los mercados capitalistas presuponen principios normativos, cuya realización no distorsionada obturan sistemáticamente. La lógica del capital, por lo tanto, permite construir un cuestionamiento de la neutralización sistemática de las pretensiones morales en el capitalismo y su dinámica social.: In this essay I will attempt an immanent criticism of Axel Honneth´s “moral monism” from the standpoint of Moishe Postone´s categorial reading of capital. Honneth´s critics such us Nancy Fraser have pointed out that modern markets cannot be fully reconstructed in moral terms. On the basis of Postone´s immanent critique of capitalism, I will claim that it is possible to reconstruct how capitalist markets presuppose moral principles, but systematically distort their realization. Postones theory may ground a critique of the neutralization of moral consideration in the capitalist form of society. This categorial reading may, thus, alloud for a questioning of the systemic neutralization of moral concerns under capitalism.

In this paper we argue that the best way to explain the normative framework of science is to adopt a model inspired in the democratic characterization of a public sphere. This model assumes and develops some deliberative democratic principles about the inclusiveness of the concerned, the parity of the reasons and the general interest of the subjects. In contrast to both bargaining models and to power-inspired models of the scientific activities, the model of scientific public sphere proposes to account for the self-legislative capacity of science, the public nature of the scientific results and the epistemic virtues of scientific research in terms of the deliberative process carried out by individuals who are engaging in the public use of reason. This perspective provides new insights into the normative conditions of a democratic science.

Continuadores posteriores de la teoría crítica de la sociedad han cuestionado a Adorno por caer en una lógica de la emancipación frustrada aparentemente contradictoria, que reflexiona sobre la dominación social en condiciones bajo las cuales, empero, se declaran cerradas las posibilidades de transformación histórica. Sin embargo, sostengo que su teoría social remite también a un concepto novedoso de la emancipación sin totalidad, relevante para la reconstrucción de la teoría crítica ante los cuestionamientos pluralistas lanzados hacia el concepto de “totalidad”.

By a theorem of R. Kaye, J. Paris and C. Dimitracopoulos, the class of the Πn+1-sentences true in the standard model is the only consistent Πn+1-theory which extends the scheme of induction for parameter free Πn+1-formulas. Motivated by this result, we present a systematic study of extensions of bounded quantifier complexity of fragments of first-order Peano Arithmetic. Here, we improve that result and show that this property describes a general phenomenon valid for parameter free schemes. As a consequence, we obtain results on the quantifier complexity, finite axiomatizability and relative strength of schemes for Δn+1-formulas

We characterize the sets of all Π2 and all equation image theorems of IΠ−1 in terms of restricted exponentiation, and use these characterizations to prove that both sets are not deductively equivalent. We also discuss how these results generalize to n > 0. As an application, we prove that a conservation theorem of Beklemishev stating that IΠ−n + 1 is conservative over IΣ−n with respect to equation image sentences cannot be extended to Πn + 2 sentences. © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

A well known theorem proved by J. Paris and H. Friedman states that BΣn +1 is a Πn +2-conservative extension of IΣn . In this paper, as a continuation of our previous work on collection schemes for Δn +1-formulas , we study a general version of this theorem and characterize theories T such that T + BΣn +1 is a Πn +2-conservative extension of T . We prove that this conservativeness property is equivalent to a model-theoretic property relating Πn-envelopes and Πn-indicators for T . The analysis of Σn +1-collection we develop here is also applied to Σn +1-induction using Parsons' conservativeness theorem instead of Friedman-Paris' theorem.As a corollary, our work provides new model-theoretic proofs of two theorems of R. Kaye, J. Paris and C. Dimitracopoulos : BΣn +1 and IΣn +1 are Σn +3-conservative extensions of their parameter free versions, BΣ–n +1 and IΣ–n +1

For a theory T, we study relationships among IΔ n +1 (T), LΔ n+1 (T) and B * Δ n+1 (T). These theories are obtained restricting the schemes of induction, minimization and (a version of) collection to Δ n+1 (T) formulas. We obtain conditions on T (T is an extension of B * Δ n+1 (T) or Δ n+1 (T) is closed (in T) under bounded quantification) under which IΔ n+1 (T) and LΔ n+1 (T) are equivalent. These conditions depend on Th Πn +2 (T), the Π n+2 –consequences of T. The first condition is connected with descriptions of Th Πn +2 (T) as IΣ n plus a class of nondecreasing total Π n –functions, and the second one is related with the equivalence between Δ n+1 (T)–formulas and bounded formulas (of a language extending the language of Arithmetic). This last property is closely tied to a general version of a well known theorem of R. Parikh. Using what we call Π n –envelopes we give uniform descriptions of the previous classes of nondecreasing total Π n –functions. Π n –envelopes are a generalization of envelopes (see [10]) and are closely related to indicators (see [12]). Finally, we study the hierarchy of theories IΔ n+1 (IΣ m ), m≥n, and prove a hierarchy theorem

In this paper we continue the study of the theories IΔ n+1 (T), initiated in [7]. We focus on the quantifier complexity of these fragments and theirs (non)finite axiomatization. A characterization is obtained for the class of theories such that IΔ n+1 (T) is Π n+2 –axiomatizable. In particular, IΔ n+1 (IΔ n+1 ) gives an axiomatization of Th Π n+2 (IΔ n+1 ) and is not finitely axiomatizable. This fact relates the fragment IΔ n+1 (IΔ n+1 ) to induction rule for Δ n+1 –formulas. Our arguments, involving a construction due to R. Kaye (see [9]), provide proofs of Parsons’ conservativeness theorem (see [16]) and (a weak version) of a result of L.D. Beklemishev on unnested applications of induction rules for Π n+2 and Δ n+1 formulas (see [2])

Siguiendo especialmente la lectura categorial de Moishe Postone, me propongo reconstruir los elementos de una teoría crítica de la modernidad en el pensamiento de Marx. Esta teoría prescinde de toda filosofía de la historia universal, asentándose en cambio en la comprensión históricamente situada del nexo social en el capitalismo. A la vez, el énfasis categorial en las mutaciones nexo social amplía los alcances de la teoría marxiana hacia una visión comprehensiva de la dinámica de la sociedad moderna, incluyendo las transformaciones en la subjetividad. El capital produce una mutación dual en las formas del nexo social, en virtud de la cual pluraliza y multilateraliza radicalmente los patrones de interacción humana, pero a la vez los homogeneiza bajo las constricciones sistemáticas de la reproducción del valor. El pensamiento de Marx, que excede ampliamente a una teoría de la lucha de clases, ilumina estas contradicciones en el nexo social moderno.

This paper investigates the status of the fragments of Peano Arithmetic obtained by restricting induction, collection and least number axiom schemes to formulas which are Δ1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\Delta_1}$$\end{document} provably in an arithmetic theory T. In particular, we determine the provably total computable functions of this kind of theories. As an application, we obtain a reduction of the problem whether IΔ0+¬exp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${I\Delta_0 + \neg \mathit{exp}}$$\end{document} implies BΣ1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${B\Sigma_1}$$\end{document} to a purely recursion-theoretic question.

Este artículo estudia afinidades no exploradas entre la teoría del capitalismo de El Anti-Edipo y algunas discusiones sobre la reproducción social en el marxismo feminista. Por un lado, el capitalismo, con su movimiento de decodificación de flujos, tiende a disolver a la familia bajo movimientos desterritorializados. Por el otro, supone una reterritorialización edípica en cuanto separa el parentesco de las relaciones de producción, fundando una escisión históricamente novedosa. La distinción entre axiomática y reterritorializaciones capitalistas, en este contexto, aparece como una forma conceptual adecuada para analizar la relación entre familia y capitalismo en términos feministas-marxistas.

The article presents a comparative analysis of the theories of capitalism of Gilles Deleuze and Felix Guattari’s Anti-Oedipus and Moishe Postone’s Time, Labor, and Social Domination. What Postone calls abstract domination is similar to the capitalist axiomatic of the French philosophers. These works introduce theories concerning the historical specificity of capitalism, which, at the same time, make possible an immanent critique of this particular social form. The authors of these works agree on highlighting the historically specific aspects of capitalism that make the latter different from other social forms. Likewise, they maintain a partially affirmative relation to this social form, in which contradictory historical emancipatory possibilities are developed. Therefore, the article draws a parallel between Postone’s idea of abstract social domination and Deleuze and Guattari’s capitalist axiomatic. It also aims at showing that the three authors introduce a critique of capitalism, which is based on their own historical and social developments, and which work in an immanent way and not with abstract normative standards.

By a result of L.D. Beklemishev, the hierarchy of nested applications of the $$\Sigma _1$$ -collection rule over any $$\Pi _2$$ -axiomatizable base theory extending Elementary Arithmetic collapses to its first level. We prove that this result cannot in general be extended to base theories of arbitrary quantifier complexity. In fact, given any recursively enumerable set of true $$\Pi _2$$ -sentences, S, we construct a sound $$(\Sigma _2 \! \vee \! \Pi _2)$$ -axiomatized theory T extending S such that the hierarchy of nested applications of the $$\Sigma _1$$ -collection rule over T is proper. Our construction uses some results on subrecursive degree theory obtained by L. Kristiansen.

Eco-Marxism presents a debate between two theoretical schools: metabolic rift theory, developed by John Foster and others, and world-ecology, proposed by Jason W. Moore. The debate refers ultimately to ontology, more precisely to the relation between society and nature. Critical realism plays a central role as the philosophical underlabouring for metabolic rift theory and has implications regarding the Anthropocene/Capitalocene debate as well. Reviewing the debate through CR categories provides clarity about the specifically social character of the causes of ecological disruptions. Using CR, metabolic rift theorists could explain the interdisciplinary character of their analyses. By distinguishing between real transfactual mechanisms and their actual interaction in open systems, I intend to show that neither metabolic rift theory, nor its interdisciplinary approach to the Anthropocene, involve Cartesian Dualism, as Moore claims. World-Ecology provides an alternative historical account of capitalism's environmental history, but it does not critically replace metabolic rift theory.

Resumen En este trabajo intentaré comparar dos momentos en la producción teórica de Nancy Fraser: sus análisis contemporáneos del capitalismo como orden institucional y su marco categorial previo, basado en dualismo de redistribución y reconocimiento. Destacaré tres grandes rupturas en su evolución intelectual: en el diagnóstico del presente, en la comprensión del capitalismo como tal y en la propuesta política.In this paper I will try to compare two periods in Nancy Fraser's theoretical evolution: her analysis of contemporary capitalism as an institutional social order and her previous categorial framework, based on the dualims of redistribution and recognition. I will highlight three major ruptures in her intellectual development: in the diagnosis of present times, in the understanding of capitalism as such and in political proposal.

Let Iπ2 denote the fragment of Peano Arithmetic obtained by restricting the induction scheme to parameter free Π2Π2 formulas. Answering a question of R. Kaye, L. Beklemishev showed that the provably total computable functions of Iπ2 are, precisely, the primitive recursive ones. In this work we give a new proof of this fact through an analysis of certain local variants of induction principles closely related to Iπ2. In this way, we obtain a more direct answer to Kaye's question, avoiding the metamathematical machinery needed for Beklemishev's original proof.Our methods are model-theoretic and allow for a general study of Iπn+1 for all n≥0n≥0. In particular, we derive a new conservation result for these theories, namely that Iπn+1 is πn+2 -conservative over IΣn for each n≥1n≥1.

En este artículo me propongo releer el llamado “fragmento de las máquinas” de los cuadernos Grundrisse a partir de la concepción de la prótesis y la producción biodrag de subjetividades desplegada por Preciado. Mientras que la mayoría de las lecturas de Preciado en clave marxiana se centran en Testo yonqui, sostendré que leer a Marx a partir del concepto de prótesis en Manifiesto contra-sexual permite reformular la noción de “individuo social” en una clave transhumanista. Esto empuja la interpretación de Marx más allá de los marcos en que él mismo comprendió la crítica del capital. Al mismo tiempo, esta vuelta a Marx ilumina los marcos sociales comprehensivos en cuyo seno la producción tecnológica del género tiene lugar. La producción de géneros y la maquínica se articulan así de manera significativa.

Me propongo abordar algunas precondiciones biológicas del discurso autobiográfico. Seguiré algunas interrogaciones de John Paul Eakin sobre la interrelación primaria, previa al discurso retrospectivo, entre narrativa del yo, experiencia personal y cuerpo propio. Tres autores prestan especial atención a estas precondiciones materiales de la autobiografía: Stacy Alaimo, con su noción de "memorias materiales"; Catherine Malabou, con sus estudios sobre la relación entre filosofía y neurociencias; y Antonio Damasio, con su concepción estratificada y compleja del yo neuronal, que incluye un nivel autobiográfico. Voy a sostener que el imperativo de construir una identidad narrativa es existencial o vital antes que textual, y que surge de la experiencia encarnada, mediada neurofisiológicamente, de ser un yo.