In this paper epistemological, ontological and sociological questions concerning the statistical significance of sharp hypotheses in scientific research are investigated within the framework provided by Cognitive Constructivism and the FBST (Full Bayesian Significance Test). The constructivist framework is contrasted with the traditional epistemological settings for orthodox Bayesian and frequentist statistics provided by Decision Theory and Falsificationism.

Kim’s causal exclusion argument purports to demonstrate that the non-reductive physicalist must treat mental properties (and macro-level properties in general) as causally inert. A number of authors have attempted to resist Kim’s conclusion by utilizing the conceptual resources of Woodward’s interventionist conception of causation. The viability of these responses has been challenged by Gebharter, who argues that the causal exclusion argument is vindicated by the theory of causal Bayesian networks (CBNs). Since the interventionist conception of causation relies crucially on CBNs (...) for its foundations, Gebharter’s argument appears to cast significant doubt on interventionism’s anti-reductionist credentials. In the present article, we both (1) demonstrate that Gebharter’s CBN-theoretic formulation of the exclusion argument relies on some unmotivated and philosophically significant assumptions (especially regarding the relationship between CBNs and the metaphysics of causal relevance), and (2) use Bayesian networks to develop a general theory of causal inference for multi-level systems that can serve as the foundation for an anti-reductionist interventionist account of causation.1. (shrink)

ABSTRACT ABSTRACT: Nietzsche, we are often told, had an account of 'self' or 'mind' or a 'philosophical psychology', in which what he calls our 'drives' play a highly significant role. This underpins not merely his understanding of mind, in particular, of consciousness and action. but also his positive ethics, be they understood as authenticity, freedom, knowledge, autonomy, self-creation, or power. But Nietzsche did not have anything like a coherent account of 'the drives' according to which the self, the relationship between (...) thought and action, or consciousness could be explained; consequently, he did not have a stable account of drives on which his positive ethics could rest. By this, I do not mean that his account is incomplete or that it is philosophically indefensible: both would leave open, misleadingly, the possibility of a rational reconstruction of Nietzsche’s views; both would already assume more unity and coherence than we find in his texts. Specifically, as I show through detailed analysis, Nietzsche provides varied and inconsistent accounts of what a 'drive' is, how much we can know about drives, and the relationship between drives and conscious deliberations about action. I conclude by questioning the hunt for a Nietzschean theory: is this the best way to be reading him? (shrink)

The full Bayesian signi/cance test (FBST) for precise hypotheses is presented, with some illustrative applications. In the FBST we compute the evidence against the precise hypothesis. We discuss some of the theoretical properties of the FBST, and provide an invariant formulation for coordinate transformations, provided a reference density has been established. This evidence is the probability of the highest relative surprise set, “tangential” to the sub-manifold (of the parameter space) that defines the null hypothesis.

Decoupling is a general principle that allows us to separate simple components in a complex system. In statistics, decoupling is often expressed as independence, no association, or zero covariance relations. These relations are sharp statistical hypotheses, that can be tested using the FBST - Full Bayesian Significance Test. Decoupling relations can also be introduced by some techniques of Design of Statistical Experiments, DSEs, like randomization. This article discusses the concepts of decoupling, randomization and sparsely connected statistical models in the epistemological (...) framework of cognitive constructivism. (shrink)

Heinz Von Forester characterizes the objects “known” by an autopoietic system as eigen-solutions, that is, as discrete, separable, stable and composable states of the interaction of the system with its environment. Previous articles have presented the FBST, Full Bayesian Significance Test, as a mathematical formalism specifically designed to access the support for sharp statistical hypotheses, and have shown that these hypotheses correspond, from a constructivist perspective, to systemic eigen-solutions in the practice of science. In this article several issues related to (...) the role played by language in the emergence of eigen-solutions are analyzed. The last sections also explore possible connections with the semiotic theory of Charles Sanders Peirce. (shrink)

Statistical tests that detect and measure deviation from the Hardy-Weinberg equilibrium (HWE) have been devised but are limited when testing for deviation at multiallelic DNA loci is attempted. Here we present the full Bayesian significance test (FBST) for the HWE. This test depends neither on asymptotic results nor on the number of possible alleles for the particular locus being evaluated. The FBST is based on the computation of an evidence index in favor of the HWE hypothesis. A great deal of (...) forensic inference based on DNA evidence assumes that the HWE is valid for the genetic loci being used. We applied the FBST to genotypes obtained at several multiallelic short tandem repeat loci during routine parentage testing; the locus Penta E exemplifies those clearly in HWE while others such as D10S1214 and D19S253 do not appear to show this. (shrink)

Randomization is an integral part of well-designed statistical trials, and is also a required procedure in legal systems. Implementation of honest, unbiased, understandable, secure, traceable, auditable and collusion resistant randomization procedures is a mater of great legal, social and political importance. Given the juridical and social importance of randomization, it is important to develop procedures in full compliance with the following desiderata: (a) Statistical soundness and computational efficiency; (b) Procedural, cryptographical and computational security; (c) Complete auditability and traceability; (d) Any (...) attempt by participating parties or coalitions to spuriously influence the procedure should be either unsuccessful or be detected; (e) Open-source programming; (f) Multiple hardware platform and operating system implementation; (g) User friendliness and transparency; (h) Flexibility and adaptability for the needs and requirements of multiple application areas (like, for example, clinical trials, selection of jury or judges in legal proceedings, and draft lotteries). This paper presents a simple and easy to implement randomization protocol that assures, in a formal mathematical setting, full compliance to the aforementioned desiderata for randomization procedures. (shrink)

Inauguration speech at chair number 18 of the Brasilian Academy of Philosophy.

Karl Pearson is the leading figure of XX century statistics. He and his co-workers crafted the core of the theory, methods and language of frequentist or classical statistics – the prevalent inductive logic of contemporary science. However, before working in statistics, K. Pearson had other interests in life, namely, in this order, philosophy, physics, and biological heredity. Key concepts of his philosophical and epistemological system of anti-Spinozism (a form of transcendental idealism) are carried over to his subsequent works on the (...) logic of scientific discovery. This article’s main goal is to analyze K. Pearson early philosophical and theological ideas and to investigate how the same ideas came to influence contemporary science, either directly or indirectly – by the use of variant theories, methods and dialects of statistics, corresponding to variant statistical inference procedures and their specific belief calculi. (shrink)

Nietzsche writes a great deal about freedom throughout his work, but never more explicitly than in Twiling of the Idols, a book he described as 'my philosophy in a nutshell'. This paper offers an analysis of Nietzsche's conception freedom and the role it plays within Twilight.

We present a module based criterion, i.e. a sufficient condition based on the absolute value of the matrix coefficients, for the convergence of Gauss–Seidel method (GSM) for a square system of linear algebraic equations, the Generalized Line Criterion (GLC). We prove GLC to be the “most general” module based criterion and derive, as GLC corollaries, some previously know and also some new criteria for GSM convergence. Although far more general than the previously known results, the proof of GLC is simpler. (...) The results used here are related to recent research in stability of dynamical systems and control of manufacturing systems. (shrink)

L’objectivité permettrait d’assurer la supériorité de la science par rapport à d’autres modes de connaissance. Elle doit donc être défendue, surtout en cette « ère de post-vérité » où les « faits alternatifs » remplacent les faits avérés, en politique comme ailleurs. Or les attaques proviennent autant de l’extérieur que de l’intérieur de la sphère philosophique. Il convient donc de tenter d’opérer la réconciliation la plus large possible avec deux représentants de clans (très) opposés, Mario Bunge et Bruno Latour. Réinvestissant (...) les grandes conceptions de la notion d’objectivité, je propose ici trois chantiers pour cette réconciliation : la mise au rancart des conceptions naïves et parfois insincères de la science, la réévaluation des contextes de découverte et de justification, et celle de la distinction faits-valeurs. (shrink)

in Oct-14-1998 ordinance INDESP-IO4 established the federal software certification and verification requirements for gaming machines in Brazil. The authors present the rationale behind these criteria, whose basic principles can find applications in several other software authentication applications.

The Fully Bayesian Significance Test (FBST) is a coherent Bayesian significance test for sharp hypotheses. This paper proposes the FBST as a model selection tool for general mixture models, and compares its performance with Mclust, a model-based clustering software. The FBST robust performance strongly encourages further developments and investigations.

The Gompertz distribution is commonly used in biology for modeling fatigue and mortality. This paper studies a class of models proposed by Adham and Walker, featuring a Gompertz type distribution where the dependence structure is modeled by a lognormal distribution, and develops a new multivariate formulation that facilitates several numerical and computational aspects. This paper also implements the FBST, the Full Bayesian Significance Test for pertinent sharp (precise) hypotheses on the lognormal covariance structure. The FBST’s e-value, ev(H), gives the epistemic (...) value of hypothesis, H, or the value of evidence in the observed in support of H. (shrink)

This paper presents REAL, a Real-Valued Attribute Classification Tree Learning Algorithm. Several of the algorithm's unique features are explained by úe users' demands for a decision support tool to be used for evaluating financial operations strategies. Compared to competing algorithms, in our applications, REAL presents maj or advantages : (1) The REAL classification trees usually have smaller error rates. (2) A single conviction (or trust) measure at each leaf is more convenient than the traditional (probability, confidence-level) pair. (3) No need (...) for an external pruning criterion. (shrink)

Anton Marty (1847-1914) is known to be the most faithful pupil of Franz Brentano. As a matter of fact, most of his philosophical ideas find their source in the works of his master. Yet, the faithfulness of Marty is not constant. As the rich correspondence between the two thinkers shows, Marty elaborates an original theory of intentionality from ca. 1904 onward. This theory is based on the idea that intentionality is a process of mental assimilation (ideelle Verähnlichung), a process at (...) the core of which lies a sui generis relation of “ideal similitude” holding between a thinking subject and its object. This study spells out the Martyian notion of mental assimilation and traces back Marty’s evolution from his earlier position (prominently described in the recently published Deskriptive Psychologie of 1893-1894) to his final view as it is found in the Untersuchungen of 1908. It turns out that besides Brentano, Husserl is a key figure in that evolution. Such a “genetic”elucidation of Marty’s last theory is required in order to reach the main goal of this paper, namely: the clarification of Marty’s degree of dependence upon Brentano with respect to the theory of intentionality. That being said, we do not merely intend to compare the mature Marty with Brentano: our “genetic” considerations will also allow us to describe the interaction between the two thinkers before 1904. Accordingly, we begin by presenting Brentano’s own position on intentionality in discussing its two currently competing readings, namely the “discontinuist” and the “continuist” one. Against a recent interpretation, we argue that Marty’s endorsement of a “discontinuist” reading is not based on a misunderstanding of Brentano’s position. (shrink)

The Swiss philosopher Anton Marty (Schwyz, 1847 - Prague, 1914) belongs, with Carl Stumpf, to the first circle of Brentano’s pupils. Within Brentano’s school (and, to some extent, in the secondary literature), Marty has often been considered (in particular by Meinong) a kind of would-be epigone of his master (Fisette & Fréchette 2007: 61-2). There is no doubt that Brentano’s doctrine often provides Marty with his philosophical starting points. But Marty often arrives at original conclusions which are diametrically opposed to (...) Brentano’s views. This is true of his views about space and time and about judgment, emotions and intentionality. In the latter case, for example, Marty develops Brentano’s view and its implications in great detail (Mulligan 1989; Rollinger 2004), but uses them to formulate a very unBrentanian account of intentionality as a relation of ideal assimilation (Chrudzimski 1999; Cesalli & Taieb 2013). Marty’s philosophy of language, on the other hand, is one of the first philosophies worthy of the name. In what follows, we contrast briefly their accounts of (i) judgment and states of affairs and of (ii) emotings and value (two topics of foremost significance, for Brentano and Marty’s theoretical and practical philosophies respectively) (§1), and their philosophies of language (§2). Brentano’s view of language is based on his philosophy of mind. Marty takes over the latter and turns a couple of claims by Brentano about language into a sophisticated philosophy of language of a kind made familiar much later by Grice. Marty’s philosophy of states of affairs and value and of the mind’s relations to these also takes off from views sketched by the early Brentano, views forcefully rejected by the later Brentano. (shrink)

This study of Greek time before Aristotle’s philosophy starts with a commentary on his first text, the Protrepticus. We shall see two distinct forms of time emerge: one initiatory, circular and Platonic in inspiration, the other its diametrical opposite, advanced by Aristotle. We shall explore this dichotomy through a return to poetic conceptions. The Tragedians will give us an initial outline of the notion of time in the Greek world (Fate); we shall then turn to Homer in order to better (...) grasp the complex relations between time and the religious sphere (the Hero); the work of the great theologian Hesiod will confirm this initiatory vision, later set out in remarkable fashion by Nietzsche (Myths); we shall then dive deep into Pythagoreanism to complete our account (Mysteries). Having understood this current of thought, powerfully influenced by the Iranian theogony, we shall be able to discern its clear differences from the so-called “Ionian” current, and thus to move away from Plato (Ideology). Lastly, we shall return to the early Ionian thinkers Thales and Anaximander to analyse whether this really was the vision of the world that Aristotle adopted in developing the first model of time (Science). In the second volume we shall see the return of the thought of the theologoi within the Aristotelian corpus itself, and will question our distinction between the being and existence of time. Régis Laurent is a philosopher and member of the association Kairos Kai logos (Centre for the study of ancient philosophy). This book is the first part of his doctoral thesis in philosophy, undertaken under the aegis of three French universities (Grenoble, Clermont-Ferrand and Rennes). In addition to his philosophical training, the author is also qualified to Masters level in linguistics and in general psychology, and studied theology at the Thomist University in Paris (ULSH) and at the CEJ of the EHESS. (shrink)

Notre étude sur le temps grec précédant la pensée d Aristote commencera d'abord par un commentaire de son premier texte, le Protreptique. Nous verrons se dégager deux temps distincts : l'un initiatique, circulaire et d'inspiration platonicienne, et l'autre diamétralement opposé dont Aristote serait le défenseur. Afin d'interroger cette dichotomie, nous retournerons aux conceptions poétiques. Les Tragiques nous permettront d'offrir une première esquisse de cette notion dans l'univers grec (Du destin...). Ensuite, l'oeuvre épique d'Homère sera l'occasion de mieux saisir le nouage (...) existant entre le temps et la sphère religieuse (Des héros...). Le travail du grand théologue Hésiode viendra confirmer cette vision initiatique, comme l'avait déjà remarquablement exposée F. Nietzsche (Des mythes...). C'est alors que nous plongerons au sein du pythagorisme afin de parachever cette vision (Des mystères...). Notre compréhension de ce courant, traversé par la théogonie iranienne, nous permettra, ensuite, de bien le distinguer de celui dit «ionien» et ainsi de s'éloigner de la parole platonicienne (De l'idéologie...). Enfin, en revenant aux premiers penseurs ioniens que furent Thalès et Anaximandre, nous analyserons si c'est effectivement cette vision du monde qui a été retenue par le Stagirite afin de fonder la première modélisation du concept de temps (De la science...). -/- Dans le deuxième volume, nous verrons revenir la pensée des théologoï au sein même du corpus aristotélicien et c'est alors que nous interrogerons notre division entre être et existence du temps. -/- Régis LAURENT est philosophe, membre de l'association Kairos kai logos (Centre d'études sur la pensée antique).Ce livre est le premier volet de son travail de thèse de doctorat en philosophie effectué au sein de trois Universités françaises (Grenoble, Clermont-Ferrand et Rennes).Outre cette formation philosophique,l'auteur est également diplômé en sciences humaines (Maîtrise des sciences du langage et maîtrise de psychologie). Par ailleurs, sa formation en théologie a été effectuée à l'Université thomiste de Paris (U.L.S.H = CEPHI) et au C.E.J de l'E.H.E.S.S. (shrink)

Sparsity, Structure, Scaling and Stability in Computational Linear Algebra. Tutorial book for the IX Brazilian Computer Science School, held at Recife, in 1994.

Environmentalism has been a part of the ideological landscape of liberal societies for nearly three decades. Classical liberals have not yet succeeded, however, in articulating a coherent response that would be relevant to politically active environmentalists, as well as to liberals receptive to postmodern ideas. Robert C. Paehlke argues that, conservative liberals being in fact hostile to environmental thinking, moderate progressivism and environmentalism should enter into a close alliance. This paper challenges both assertions. Admittedly, not all currents within contemporary conservative (...) liberalism could play a part in the development of a neoliberal environmentalist movement. One current, however, the skeptical tradition, whose origin can be traced back to the Scottish Englightenment, is remarkably well suited to this task. Progressivism, on the other hand, could end up smothering the environmental movement under the weight of its own certainties. (shrink)

This paper offers a reading of Thus Spoke Zarathustra, arguing that there is a conflict between Zarathustra's hope for something greater (in the form of the Übermensch) and his conception of the eternal recurrence.

This article-testimony can be seen as an example of a maybe new discipline that could be called "scientific metaphysics" made of thoughts experiments, definitions, some proofs, some explanations, some conjectures. Of course, to be called science, the discipline needs some possibility of "verification" too. We will see if it can be considered. -/- We start from a thought experiment: -/- Can the universe defined as U_Def be aware conscious of itself as whole? -/- This question is a variant of the (...) more familiar: -/- Can the universe be aware conscious? -/- We can distinguish two main approaches in human history in the attempts at answering this second question: 1) the approach by the bottom with a weak version of consciousness: it includes "panpsychic" like theories. 2) the approach by the head with a strong version of consciousness: it includes "holistic" theories. Spinoza's "Pantheism", for example, can be considered as one of them, even if some interpretations of Spinoza's metaphysics are not satisfied with the equation "god = universe". -/- The purpose developed in this article belongs to the second kind of approach. After a definition of the universe \emph{U}$_{\textit{Def}} $ in 7 points and the introduction of 3 premisses, one of them being devoted to our definition of "strong consciousness", we suggest an answer to the initial question and we draw the most important among numerous consequences: - semantical jump by META-abstraction and introduction of the holistic semantics; - extension of the natural language to a supra-natural language; - highlighting of a higher-order solipsism; - etc. -/- We devote some attention to the notion of "model" in its logical and philosophical acceptation and we introduce the notion of evolutional self-modelization. (shrink)

Now that she is old enough to be taken to boring, so-called “cultural” events by her aging, academic relatives, we have just taken Anya to see a performance of Julius Caesar. When it’s over, we discuss the acting, the poetry, the famous lines. At some point, Anya asks: “I wonder if it happened like that?” Anya has not radically misunderstood what we just watched; she did not, for example, rush down and yell at Caesar that he’d better read that scroll. (...) Her question is not uncommon as a response to a history play, from audience members both young and old. It is perfectly intelligible; I would like to give her an answer. Before I sketch some possible answers, it is worth saying something more about Anya’s. (shrink)

On abordera ici l'échec du pseudo-théologien Heidegger à venir se saisir de l'irrationnel augustinien et soulignerons la différence entre l'irrationnel dorien (au bout du langage) et l'irrationnel ionien (au bout du monde) autour de la mesure.

The purpose of this article is to present several immediate consequences of the introduction of a new constant called Lambda in order to represent the object ``nothing" or ``void" into a standard set theory. The use of Lambda will appear natural thanks to its role of condition of possibility of sets. On a conceptual level, the use of Lambda leads to a legitimation of the empty set and to a redefinition of the notion of set. It lets also clearly appear (...) the distinction between the empty set, the nothing and the ur-elements. On a technical level, we introduce the notion of pre-element and we suggest a formal definition of the nothing distinct of that of the null-class. Among other results, we get a relative resolution of the anomaly of the intersection of a family free of sets and the possibility of building the empty set from ``nothing". The theory is presented with equi-consistency results . On both conceptual and technical levels, the introduction of Lambda leads to a resolution of the Russell's puzzle of the null-class. (shrink)

Rejet de la dialectique comme objet pouvant rentrer au sein de la logique. Refoulement de la dialectique dans l'histoire. Or si la dialectique est historique alors nous pouvons la situer spatialement dans l'histoire.

Le structuralisme, en le rapprochant du langage, a détruit le concept freudien de "Verdichtung" (condensation). Il s'agissait chez Freud d'un mouvement irrationnel dont la rationalité ne venait que de la cause finale qu'était le désir (inconscient). Avec sa notion de "Volonté de Puissance" (Der Wille zur Macht), Nietzsche tente de la même manière de déterminer l'intention et l’extension de ce mouvement de sens sans introduire la cause finale comme le fit Freud. Il s'approche alors de la dialectique platonicienne et de (...) son fondement, avant de plonger dans l'abyme de la source iranienne (perse). L'échec de la métabiologie de Nietzsche sera le départ de notre approche métabiologique appuyée sur la métaphysique d'Aristote et Kant. (shrink)

Comment l'Etre s'ouvre-t-il ? Réponse définitive au sophiste Heidegger.

It is a consequence of the theory of imprecise credences that there exist situations in which rational agents inevitably become less opinionated toward some propositions as they gather more evidence. The fact that an agent's imprecise credal state can dilate in this way is often treated as a strike against the imprecise approach to inductive inference. Here, we show that dilation is not a mere artifact of this approach by demonstrating that opinion loss is countenanced as rational by a substantially (...) broader class of normative theories than has been previously recognised. Specifically, we show that dilation-like phenomena arise even when one abandons the basic assumption that agents have (precise or imprecise) credences of any kind, and follows directly from bedrock norms for rational comparative confidence judgements of the form `I am at least as confident in p as I am in q'. We then use the comparative confidence framework to develop a novel understanding of what exactly gives rise to dilation-like phenomena. By considering opinion loss in this more general setting, we are able to provide a novel assessment of the prospects for an account of inductive inference that is not saddled with the inevitability of rational opinion loss. (shrink)

Since the first discussion of Brentano’s relation to (and account of) medieval philosophy by Spiegelberg in 1936, a fair amount of studies have been dedicated to the topic. And if those studies focused on some systematic issue at all, the beloved topic of intentionality clearly occupied a hegemonic position in the scholarly landscape . The following pages consider the question from the point of view of ontology, and in a twofold perspective: What did Brentano know about medieval ontology and what (...) kind of access did he have to that material (section 1)? What kind of use did Brentano make of medieval material in his own philosophy, and with what kind of results (section 2)? (shrink)

The phenomenon of sexbots has lately been receiving increasing academic attention. The forms and uses of this humanoid sexual technology with AI have been analyzed and discussed by philosophers, sexologists, ethicists, and legal experts. Ethical debates about possible designs and uses receive the most attention in academic discussions. Quantitative and qualitative studies on how people outside this context look at and think about sexbots are scarce. Especially research with the online context as a research site seems to be missing. However, (...) This research site can be fruitful to explore people's (moral) attitudes, arguments, and intuitions. An inductive thematic analysis of online discussions about sexbots was carried out on three different subreddits on Reddit. Three themes were constructed. Themes include the assumed role of sexbots as seen from incel ideology, reasonings on hypothetical experiences of using a sexbot, and the use and meaning of sexbots in a context of political and sexual identity. The language in the discussions indicated a dominant male heteronormative perspective. Although similar elements to the scholarly debate like the use of sexbots to channel sexual misconduct or making analogies between the believed effects of the use of sexbots and pornography occurred, differences to the debate occurred in the themes of the hypothetical tendency to use a sexbot, and the indications on how it could change our definitions of ‘having sex’. These elements point toward a research gap in the academic discourse. Finally, the themes were aligned with the feminist discussion on sexbots. Richardon’s call for a ban and Kubes’ queer reading of sexbots were linked to our analysis. Further research could include exploring multiple online research sites to complement or contrast the indicated male heteronormative perspective with other perspectives ( LGBTQAI+,...) on the phenomenon of sexbots. (shrink)

The moral status of sexbots was analyzed while using consequentialism and feminism as the guiding frameworks. Sexbots are humanoid robots with a certain level of AI that represents personality-scripts. The thesis contained three main questions: A) What moral pain points can be identified in producing and using sex bots? B) Is it necessary to conclude from these moral issues that these practices are inherently immoral? C) What ethical conditions and contexts can be formulated in which sex bots can be used (...) and used positively and morally? -/- First of all a brief summary is given on the psychology behind our relationships with robots/sexbots to show the weight of the dynamics behind this relationship between sexual subject and the sexual technology of sexbots. Second, The Campaign Against Sex Robots from Richardson was used as a starting point to explore a more contextual approach of the moral uses and designs of sexbots. The claims about what sexbots represent and what possible effects they have were analyzed to find an opening that does not a priori ban the production of sexbots (as Richardson postulates). -/- Through the thesis, tentative explorations of moral designs and uses of sexbots can be found. This includes an analysis on the hardware and software behind a sexbot going from scripts and programming concerning consent and designs that are meant for different (for example; therapeutical) contexts. To conclude, the use of a non-essentialistic feminist new-materialism was used for a first exploration of the political value of sexbots as tools of empowerment, instead of oppression. (shrink)

La division entre "Intellect Agent" (intellectus agens) et "intellect Patient" (noûs pathêtikos) est-elle historique et donc culturelle ? Si oui , y a-t-il un intellect Uni-versel entre les deux ?

This article considers distinct ways of understanding the world, referred to in psychology as Functions of Consciousness or as Cognitive Modes, having as the scope of interest epistemology and natural sciences. Inspired by C.G. Jung's Simile of the Spectrum, we consider three basic cognitive modes associated to: (R) embodied instinct, experience, and action; (G) reality perception and learning; and (B) concept abstraction, rational thinking, and language. RGB stand for the primary colors: red, green, and blue. Accordingly, a conceptual map between (...) cognitive modes and primary and secondary colors is built based on the physics and physiology of color perception and epistemological characteristics of the aforementioned cognitive modes, leading to logical relations structured as an Hexagon of Opposition. Finally, this model of cognitive modes is applied to the analysis and interpretation of some important episodes in the historical development of physics and technology. (shrink)

This paper has three main objectives: (a) Discuss the formal analogy between some important symmetry-invariance arguments used in physics, probability and statistics. Specifically, we will focus on Noether’s theorem in physics, the maximum entropy principle in probability theory, and de Finetti-type theorems in Bayesian statistics; (b) Discuss the epistemological and ontological implications of these theorems, as they are interpreted in physics and statistics. Specifically, we will focus on the positivist (in physics) or subjective (in statistics) interpretations vs. objective interpretations that (...) are suggested by symmetry and invariance arguments; (c) Introduce the cognitive constructivism epistemological framework as a solution that overcomes the realism-subjectivism dilemma and its pitfalls. The work of the physicist and philosopher Max Born will be particularly important in our discussion. (shrink)

Although logical consistency is desirable in scientific research, standard statistical hypothesis tests are typically logically inconsistent. To address this issue, previous work introduced agnostic hypothesis tests and proved that they can be logically consistent while retaining statistical optimality properties. This article characterizes the credal modalities in agnostic hypothesis tests and uses the hexagon of oppositions to explain the logical relations between these modalities. Geometric solids that are composed of hexagons of oppositions illustrate the conditions for these modalities to be logically (...) consistent. Prisms composed of hexagons of oppositions show how the credal modalities obtained from two agnostic tests vary according to their threshold values. Nested hexagons of oppositions summarize logical relations between the credal modalities in these tests and prove new relations. (shrink)

Puisque nous n'avons pu trouver un fondement logique à la dialectique, nous avons alors compris que la dialectique était historique. Il ne restait plus alors qu'à trouver la culture d'origine que nous avons localisée en Perse. -/- Since we could not find a logical foundation for the dialectic, we then understood that the dialectic was historical. All that remained was to find the culture of origin, which we located in Persia.

Bayesians standardly claim that there is rational pressure for agents’ credences to cohere across time because they face bad (epistemic or practical) consequences if they fail to diachronically cohere. But as David Christensen has pointed out, groups of individual agents also face bad consequences if they fail to interpersonally cohere, and there is no general rational pressure for one agent's credences to cohere with another’s. So it seems that standard Bayesian arguments may prove too much. Here, we agree with Christensen (...) that there is no general rational pressure to diachronically cohere, but we argue that there are particular cases in which there is rational pressure to diachronically cohere, as well as particular cases in which interpersonal probabilistic coherence is rationally required. More generally, we suggest that Bayesian arguments for coherence apply whenever a collection (of agents or time slices) has a shared dimension of value and an ability to coordinate their actions in a range of cases relevant to that value. Typically, this shared value and ability to coordinate is very strong across the time slices of one human being, and very weak across different human beings, but there are special cases where these can switch—i.e., some groups of humans will have as much reason for their beliefs to cohere across a particular range of cases as the time slices of one human usually do, but some time slices of a human will have as much freedom to differ in their beliefs from the others as the members of a group usually do. (shrink)

Comments presented at the 35th International Seminar on the -- New Institutional Economics -- Empirical Methods for the Law; Syracuse, 2018.

This article discusses some continuous limit cases of Susan Haack’s crossword puzzle metaphor for the coherent development and foundation of science. The main objective of this discussion is to build a bridge between Haack’s foundherentism and the epistemological framework of objective cognitive constructivism, including its key metaphor of objects as tokens for eigen-solutions. The historical development of chemical affinity tables is used to illustrate our arguments.

This article explores the metaphor of Science as provider of sharp images of our environment, using the epistemological framework of Objective Cognitive Constructivism. These sharp images are conveyed by precise scientific hypotheses that, in turn, are encoded by mathematical equations. Furthermore, this article describes how such knowledge is pro-duced by a cyclic and recursive development, perfection and reinforcement process, leading to the emergence of eigen-solutions characterized by the four essential properties of precision, stability, separability and composability. Finally, this article discusses (...) the role played by ontology and metaphysics in the scientific production process, and in which sense the resulting knowledge can be considered objective. (shrink)

The main goal of this article is to use the epistemological framework of a specific version of Cognitive Constructivism to address Piaget’s central problem of knowledge construction, namely, the re-equilibration of cognitive structures. The distinctive objective character of this constructivist framework is supported by formal inference methods of Bayesian statistics, and is based on Heinz von Foerster’s fundamental metaphor of objects as tokens for eigen-solutions. This epistemological perspective is illustrated using some episodes in the history of chemistry concerning the definition (...) or identification of chemical elements. Some of von Foerster’s epistemological imperatives provide general guidelines of development and argumentation. (shrink)

In this article, we discuss some issues concerning magical thinking—forms of thought and association mechanisms characteristic of early stages of mental development. We also examine good reasons for having an ambivalent attitude concerning the later permanence in life of these archaic forms of association, and the coexistence of such intuitive but informal thinking with logical and rigorous reasoning. At the one hand, magical thinking seems to serve the creative mind, working as a natural vehicle for new ideas and innovative insights, (...) and giving form to heuristic arguments. At the other hand, it is inherently difficult to control, lacking effective mechanisms needed for rigorous manipulation. Our discussion is illustrated with many examples from the Hebrew Bible, and some final examples from modern science. (shrink)

This article explores some open questions related to the problem of verification of theories in the context of empirical sciences by contrasting three epistemological frameworks. Each of these epistemological frameworks is based on a corresponding central metaphor, namely: (a) Neo-empiricism and the gambling metaphor; (b) Popperian falsificationism and the scientific tribunal metaphor; (c) Cognitive constructivism and the object as eigen-solution metaphor. Each of one of these epistemological frameworks has also historically co-evolved with a certain statistical theory and method for testing (...) scientific hypotheses, respectively: (a) Decision theoretic Bayesian statistics and Bayes factors; (b) Frequentist statistics and p-values; (c) Constructive Bayesian statistics and e-values. This article examines with special care the Zero Probability Paradox (ZPP), related to the verification of sharp or precise hypotheses. Finally, this article makes some remarks on Lakatos’ view of mathematics as a quasi-empirical science. (shrink)

Simultaneous hypothesis tests can fail to provide results that meet logical requirements. For example, if A and B are two statements such that A implies B, there exist tests that, based on the same data, reject B but not A. Such outcomes are generally inconvenient to statisticians (who want to communicate the results to practitioners in a simple fashion) and non-statisticians (confused by conflicting pieces of information). Based on this inconvenience, one might want to use tests that satisfy logical requirements. (...) However, Izbicki and Esteves shows that the only tests that are in accordance with three logical requirements (monotonicity, invertibility and consonance) are trivial tests based on point estimation, which generally lack statistical optimality. As a possible solution to this dilemma, this paper adapts the above logical requirements to agnostic tests, in which one can accept, reject or remain agnostic with respect to a given hypothesis. Each of the logical requirements is characterized in terms of a Bayesian decision theoretic perspective. Contrary to the results obtained for regular hypothesis tests, there exist agnostic tests that satisfy all logical requirements and also perform well statistically. In particular, agnostic tests that fulfill all logical requirements are characterized as region estimator-based tests. Examples of such tests are provided. (shrink)