Cognitive penetration of perception, broadly understood, is the influence that the cognitive system has on a perceptual system. The paper shows a form of cognitive penetration in the visual system which I call ‘architectural’. Architectural cognitive penetration is the process whereby the behaviour or the structure of the perceptual system is influenced by the cognitive system, which consequently may have an impact on the content of the perceptual experience. I scrutinize a study in perceptual learning that provides empirical evidence that (...) cognitive influences in the visual system produce neural reorganization in the primary visual cortex. The type of cognitive penetration can be synchronic and diachronic. (shrink)

Generics are sentences such as Birds fly, which express generalizations. They are prevalent in speech, and as far as is known, no human language lacks generics. Yet, it is very far from clear what they mean. After all, not all birds fly—penguins don’t! -/- There are two general views about the meaning of generics in the literature, and each view encompasses many specific theories. According to the inductivist view, a generic states that a sufficient number of individuals satisfy a certain (...) property—in the example above, it says that sufficiently many birds fly. This view faces the complicated problem of spelling out exactly how many is “sufficiently many” in a way that correctly captures the intuitive truth conditions of generics. -/- An alternative, the rules and regulations view, despairs from this project and proposes instead that generics directly express rules in the world. Rules are taken to be abstract objects, which are not related to the properties of specific individuals. This view faces the difficult problem of explaining how people come to know of such rules when judging the truth of falsity of generics, and accounting for the strong intuition that a sentence such as Birds fly talks about birds, not abstract objects. -/- What seems to be beyond dispute is that generics, even if they do not express rules, are lawlike: they state non-accidental generalizations. Many scholars have taken this fact to indicate that generics are parametric on possible worlds: they refer to worlds other than the actual world. This, again, raises the problem of how people come to know about what happens in these other worlds. However, a rigorous application of standard tests for intensionality shows that generics are not, in fact, parametric on possible worlds, but only on time. This unusual property may explain much of the mystery surrounding generics. -/- Another mysterious property of generics is that although there is no language without them, there is no linguistic construction that is devoted to the expression of genericity. Rather, generics can be expressed in a variety of ways, each of which can also express nongenerics. Yet, each manifestation of generics differs subtly (or sometimes not so subtly) in its meaning from the others. -/- Even when these and other puzzles of genericity are solved, one mystery would remain: Why are generics, which are so easy to produce and understand in conversation, so difficult to analyze? (shrink)

The observational-theoretical distinction has played a central role in the philosophy of science from logical empiricism onwards. Developments within the discipline have shown that such a distinction hides two non-identical distinctions: observational vs. non-observational and theoretical vs. non-theoretical. Likewise, metatheoretical structuralism proposed a more sophisticated treatment of theoricity in terms of the operational dependence or independence of concepts from the theories in which they appear. Despite this remarkable sophistication, it is still generally accepted that the distinction between theoretical and non-theoretical (...) concepts coincides with the explanatory vs. non-explanatory and testing vs. non-testing distinctions. Ginnobili and Carman argued for the independence between theoricity and explanation. In this paper we will focus on testing and argue for its independence from both theoricity and explanation. To do so, we propose an account of theory testing based on the framework of metatheoretical structuralism and apply it to natural selection theory and cladistics. (shrink)

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)

In this paper, we present a way to translate the metainferences of a mixed metainferential system into formulae of an extended-language system, called its associated σ-system. To do this, the σ-system will contain new operators (one for each standard), called the σ operators, which represent the notions of "belonging to a (given) standard". We first prove, in a model-theoretic way, that these translations preserve (in)validity. That is, that a metainference is valid in the base system if and only if its (...) translation is a tautology of its corresponding σ-system. We then use these results to obtain other key advantages. Most interestingly, we provide a recipe for building unlabeled sequent calculi for σ-systems. We then exemplify this with a σ-system useful for logics of the ST family, and prove soundness and completeness for it, which indirectly gives us a calculus for the metainferences of all those mixed systems. Finally, we respond to some possible objections and show how our σ-framework can shed light on the “obeying” discussion within mixed metainferential contexts. (shrink)

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)

In this article, we provide three generators of propositional formulae for arbitrary languages, which uniformly sample three different formulae spaces. They take the same three parameters as input, namely, a desired depth, a set of atomics and a set of logical constants (with specified arities). The first generator returns formulae of exactly the given depth, using all or some of the propositional letters. The second does the same but samples up-to the given depth. The third generator outputs formulae with exactly (...) the desired depth and all the atomics in the set. To make the generators uniform (i.e. to make them return every formula in their space with the same probability), we will prove various cardinality results about those spaces. (shrink)

Much forensic inference based upon DNA evidence is made assuming Hardy-Weinberg Equilibrium (HWE) for the genetic loci being used. Several statistical tests to detect and measure deviation from HWE have been devised, and their limitations become more obvious when testing for deviation within multiallelic DNA loci. The most popular methods-Chi-square and Likelihood-ratio tests-are based on asymptotic results and cannot guarantee a good performance in the presence of low frequency genotypes. Since the parameter space dimension increases at a quadratic rate on (...) the number of alleles, some authors suggest applying sequential methods, where the multiallelic case is reformulated as a sequence of “biallelic” tests. However, in this approach it is not obvious how to assess the general evidence of the original hypothesis; nor is it clear how to establish the significance level for its acceptance/rejection. In this work, we introduce a straightforward method for the multiallelic HWE test, which overcomes the aforementioned issues of sequential methods. The core theory for the proposed method is given by the Full Bayesian Significance Test (FBST), an intuitive Bayesian approach which does not assign positive probabilities to zero measure sets when testing sharp hypotheses. We compare FBST performance to Chi-square, Likelihood-ratio and Markov chain tests, in three numerical experiments. The results suggest that FBST is a robust and high performance method for the HWE test, even in the presence of several alleles and small sample sizes. (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 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.

En un libro reciente McShea y Brandon defienden que la diversidad y la complejidad de la vida se explican, principalmente, por la acción de un principio que llaman “la ley evolutiva de fuerzas cero” o “ZFEL”. Tal principio actuaría de un modo implícito por detrás de muchas explicaciones de la biología, pero nunca habría sido explicitado. Asumiendo que esta idea es interesante, y que los autores en cuestión tienen razón, discutiremos el modo metateórico en que presentan dicho principio, como siendo (...) parte de la teoría de la probabilidad. Esto permite a los autores afirmar que la teoría de la probabilidad brindaría la base reductiva para toda la biología evolutiva (dado que consideran que otros principios, como el de selección natural, también serían parte de la teoría de la probabilidad). Defenderemos que, efectivamente, ZFEL no es propio de la biología únicamente, pero no por formar parte de la teoría de la probabilidad, sino por tratarse de una versión específica del principio de causa común. -/- In a recent book, McShea and Brandon argue that the observed diversity and complexity of life are explainable by a principle they call the “zero-force evolutionary law” or “ZFEL”. Although this principle would be implicit in many explanations given by biologists, it would have never been made explicit. Assuming that this idea is interesting, and that the authors are right, we will discuss the metatheoretical way in which they present said principle, as being a part of probability theory. This allows the authors to claim that probability theory provides the reductive basis for all evolutionary biology. We will defend, in accordance with them, that ZFEL is not a solely biological principle, but not because it is a part of probability theory, but rather because it is a specific version of the principle of common cause. (shrink)

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)

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)

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)

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)

Gamification can be a useful tool when engaging young students with science. When designing a new game, it is pivotal that a featured storytelling element can draw students' attention while providing an enjoyable experience. However, building such an insightful science dissemination narrative from scratch is often challenging. As real-life situations are frequently more appealing to students, adding alternative history elements can be helpful when designing such a game. In this paper, we present a novel educational framework to design an educational, (...) science-based storytelling activity using the history of science and alternative hypothesis as ground tools for its inception. By analysing student's feedback when playing a science-based game with a historic episode outline, they report that their learning experience was fun and relatable, matching their scientific performance during the game. (shrink)

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

A critical comment on methods in Nietzsche scholarship, and some suggestions about how to improve things.

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 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.

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)

This paper introduces pragmatic hypotheses and relates this concept to the spiral of scientific evolution. Previous works determined a characterization of logically consistent statistical hypothesis tests and showed that the modal operators obtained from this test can be represented in the hexagon of oppositions. However, despite the importance of precise hypothesis in science, they cannot be accepted by logically consistent tests. Here, we show that this dilemma can be overcome by the use of pragmatic versions of precise hypotheses. These pragmatic (...) versions allow a level of imprecision in the hypothesis that is small relative to other experimental conditions. The introduction of pragmatic hypotheses allows the evolution of scientific theories based on statistical hypothesis testing to be interpreted using the narratological structure of hexagonal spirals, as defined by Pierre Gallais. (shrink)

The paper proposes a strategy for understanding metaphysical grounding in deflationary terms and, more generally, proposes a form of methodological deflationism with respect to the notions of ground. The idea is to define a deflationary is grounded in-predicate by appeal to the two-place non-causal connective ‘because’ and a deflationary truth predicate. To this end, we discuss the explanatory role of the truth-predicate in non-causal explanations and develop a theory of truth for the language of the ‘because’-connective. We argue that at (...) least from a logical perspective our deflationary notion of ground is up to the task. (shrink)

Readers of Nietzsche are not unfamiliar with the thought that his philosophical writings contain numerous at least apparent contradictions. We begin with one of them. On the one hand, Nietzsche takes pride of place in the canonical parade of theatre-haters. Indeed, he himself demands inclusion: ‘I am essentially anti-theatrical’. This antipathy appears to extend to the actor’s ‘inner longing for a role and mask’. On the other hand, Nietzsche is known as an advocate and admirer of the mask: ‘everything profound (...) loves masks’ reads one of his best-known lines. Mask-wearing, whatever that turns out to be, is not only a social strategy, but also a philosophical or intellectual one, as we shall see. The mask has a variety of associations, of course, but a salient one, for Nietzsche, was its relation to the actor, beginning with its use in Greek tragedy. Thus we seem to find a Nietzsche who on the one hand opposes the theatre and the actor’s role-playing and mask-wearing and, on the other hand, who encourages the mask, which he himself associates with acting and theatre. Of course, this tension has potential implications for our understanding of Nietzsche's antipathy to theatre. To take one example, he seems to connect theatre with lack of honesty, including to oneself (GS 368). And yet some have taken Nietzsche as ‘masking’ his own thoughts, as a means to avoid being honest with himself. This chapter looks in detail at the use of the mask in Nietzsche and at how it relates to questions of sincerity, interpretation and his later, naturalist project. (shrink)

This Element explains Nietzsche's ethics in his late works, from 1886 onwards. The first three sections explain the basics of his ethical theory – its context and presuppositions, its scope and its central tension. The next three sections explore Nietzsche's goals in writing a history of Christian morality, the content of that history, and whether he achieves his goals. The last two sections take a broader look, respectively, at Nietzsche's wider philosophy in light of his ethics and at the prospects (...) for a Nietzschean ethics after Nietzsche. (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.

The reader of RTP is granted just a few paragraphs before habit is introduced: Habit! That able but slow-moving arranger who begins by letting our minds sufer for weeks on end in temporary quarters, but whom our mind is nonetheless only too happy to fnd, for without it, reduced to its own devices, it would be powerless to make any room habitable. (SW, 9, translation altered; I 8) Implied is a view of mind: powerless to interfere with habit’s course, but (...) equally powerless to reconcile us even to something as innocuous as a room, were it not for habit’s work. Corresponding to this is a view of the world: hostile. The objects are nasty, imposing, menacing: a ‘mentally poisoning’ smell, malicious curtains and a cruel mirror (SW, 9; I 8). Habit, unbidden but welcome, steps in. The mirror becomes compassionate. Habit is a central aspect of the narrator’s worldview. It appears both at major plot points and in signifcant theoretical passages. Proust had already thematised habit in some of his earliest published work – notably in ‘Violante ou la Mondanité’ (1892) (‘Violante, or High Society’) – as well as in unpublished material (see II 1352 fn. 2). His ideas have their roots in his philosophical education, where habit formed a key part of the syllabus. Indeed, in retrospect, we can say that Proust may have been taught philosophy at a time and place where habit, as a philosophical topic, was approaching its high watermark, as a major theme in French philosophical thought. Another major theme, of course, was time. (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)

ABSTRACTAmor fati—the love of fate—is one of many Nietzschean terms which seem to point towards a positive ethics, but which appear infrequently and are seldom defined. On a traditional understanding, Nietzsche is asking us to love whatever it is that happens to have happened to us—including all sorts of horrible things. My paper analyses amor fati by looking closely at Nietzsche's most sustained discussion of the concept—in book four of The Gay Science—and at closely related passages in that book. I (...) argue that by ignoring the context in which Nietzsche writes about amor fati in The Gay Science, we are liable to ignore several exegetical and philosophical problems with the traditional understanding of the term. I'll argue for a different interpretation which locates Nietzsche's amor fati within the philosophical project of The Gay Science and which copes better with the objections that plague the traditional view. (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.

In this paper, the notion of degree of inconsistency is introduced as a tool to evaluate the sensitivity of the Full Bayesian Significance Test (FBST) value of evidence with respect to changes in the prior or reference density. For that, both the definition of the FBST, a possibilistic approach to hypothesis testing based on Bayesian probability procedures, and the use of bilattice structures, as introduced by Ginsberg and Fitting, in paraconsistent logics, are reviewed. The computational and theoretical advantages of using (...) the proposed degree of inconsistency based sensitivity evaluation as an alternative to traditional statistical power analysis is also discussed. (shrink)

A new Evidence Test is applied to the problem of testing whether two Poisson random variables are dependent. The dependence structure is that of Holgate’s bivariate distribution. These bivariate distribution depends on three parameters, 0 < theta_1, theta_2 < infty, and 0 < theta_3 < min(theta_1, theta_2). The Evidence Test was originally developed as a Bayesian test, but in the present paper it is compared to the best known test of the hypothesis of independence in a frequentist framework. It is (...) shown that the Evidence Test is considerably more powerful when the correlation is not too close to zero, even for small samples. (shrink)

This article presents a simple derivation of optimization models for reaction networks leading to a generalized form of the mass-action law, and compares the formal structure of Minimum Information Divergence, Quadratic Programming and Kirchhoff type network models. These optimization models are used in related articles to develop and illustrate the operation of ontology alignment algorithms and to discuss closely connected issues concerning the epistemological and statistical significance of sharp or precise hypotheses in empirical science.

This paper focuses on negative exemplarity-related emotions (NEREs) and on their educational implications. In this paper, we will first argue for the nonexpendability of negative emotions broadly conceived (section 2) by defending their instrumental and intrinsic role in a good and flourishing life. In section 3, we will make the claim more specific by focusing on the narrower domain of NEREs and argue for their moral and educational significance by evaluating whether they fit the arguments provided in the previous section. (...) In section 4, we will propose three educational strategies to foster NEREs’ positive moral role. In conclusion, we will point out that an exemplarist approach to character education would greatly benefit from a more fine-grained account of the emotions involved in the educational process and from a broader perspective on which of these emotions should be taken as valuable for educational purposes. (shrink)

Sortition, i.e. random appointment for public duty, has been employed by societies throughout the years as a firewall designated to prevent illegitimate interference between parties in a legal case and agents of the legal system. In judicial systems of modern western countries, random procedures are mainly employed to select the jury, the court and/or the judge in charge of judging a legal case. Therefore, these random procedures play an important role in the course of a case, and should comply with (...) some principles, such as transparency and complete auditability. Nevertheless, these principles are neglected by random procedures in some judicial systems, which are performed in secrecy and are not auditable by the involved parties. The assignment of cases in the Brazilian Supreme Court is an example of such a procedure, for it is performed using procedures unknown to the parties involved in the judicial cases. This article presents a review of how sortition has been historically employed by societies and discusses how Mathematical Statistics may be applied to random procedures of the judicial system, as it has been applied for almost a century on clinical trials, for example. A statistical model for assessing randomness in case assignment is proposed and applied to the Brazilian Supreme Court. As final remarks, guidelines for the development of good randomization procedures are outlined. (shrink)

We review the definition of the Full Bayesian Significance Test (FBST), and summarize its main statistical and epistemological characteristics. We review also the Abstract Belief Calculus (ABC) of Darwiche and Ginsberg, and use it to analyze the FBST’s value of evidence. This analysis helps us understand the FBST properties and interpretation. The definition of value of evidence against a sharp hypothesis, in the FBST setup, was motivated by applications of Bayesian statistical reasoning to legal matters where the sharp hypotheses were (...) defendants statements, to be judged according to the Onus Probandi juridical principle. (shrink)

Once upon a time, Aesop says, there was a donkey who wanted to be a pet dog. The pet dog was given many treats by the master and the household servants, and the donkey was envious of him. Hence, the donkey began emulating the pet dog. What happened next? The story ends up with the donkey beaten senseless, chased off to the stables, exhausted and barely alive. Who is to blame for the poor donkey’s unfortunate fate? Well, there could be (...) disagreement upon this, but we think emulation is to blame. And it’s on the kinds of envy-related emulation that we focus in this chapter. More analytically, we aim at vindicating the role of envy for moral exemplars within an exemplarist character educational framework. In the first section, we recall the central tenets of an exemplarist account of moral progress, and highlight how negative emotions, in general, have suffered a bad press within character education, with exemplarism being no exception. Then we provide a brief outline of standard strategies of defending envy by appealing to useful taxonomies of envy (e.g., Taylor 1988; Protasi 2016; Fussi 2018). After that, we put forward our 'Donkey Objection' by recalling Aesop’s fable on "foolish imitation", so as to show that when envy triggers mere emulation, it can bear devastating effects such as conformism and a lack of self-worth and personal integrity. In response to this objection, we bring into play a distinction between two rival forms of imitation—emulation and inspiration—and we coin the label of "inspired envy" for those forms of imitation by inspiration triggered by envy that lead to self-improvement avoiding morally detrimental consequences. (shrink)

Optimization and Stochastic Processes Applied to Economy and Finance. Textbook for the BM&F-USP (Brazilian Mercantile and Futures Exchange - University of Sao Paulo) Master's degree program in Finance.

This chapter looks at Nietzsche's notion of the affirmation of life. It begins with the origins of the concept in Schopenhauer and in the Schopenhauerian philosophy known to Nietzsche. It then examines affirmation in three phases of Nietzsche's writing: early, middle and late. It relates affirmation to other key Nietzschean concepts like the Apollonian and the Dionysian, eternal recurrence, amor fati and will to power.

This article analyzes the role of entropy in Bayesian statistics, focusing on its use as a tool for detection, recognition and validation of eigen-solutions. “Objects as eigen-solutions” is a key metaphor of the cognitive constructivism epistemological framework developed by the philosopher Heinz von Foerster. Special attention is given to some objections to the concepts of probability, statistics and randomization posed by George Spencer-Brown, a figure of great influence in the field of radical constructivism.

We present SASC, Self-Adaptive Semantic Crossover, a new class of crossover operators for genetic programming. SASC operators are designed to induce the emergence and then preserve good building-blocks, using metacontrol techniques based on semantic compatibility measures. SASC performance is tested in a case study concerning the replication of investment funds.

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.

The central question in this paper is the following: how does Nietzsche use history in his critique of morality? The answer, in sum: interestingly, not how you (i.e. most Nietzsche scholars) think, and not well enough. My focus is on The Antichrist, not his Genealogy of Morality, which is more commonly used to answer this question. And I look, in particular, at Nietzsche’s use of good, contemporary scholarship on the origins of Judaism. The chapter also examines the so-called 'genetic fallacy', (...) arguing that Nietzsche has a provisional response to it, but that this response leads to further complications. (shrink)