THE FORMAL AND THE FORMALIZED: THE CASES OF SYLLOGISTIC AND SUPPOSITION THEORY

As a discipline, logic is arguably constituted of two main sub-projects: formal theories of argument validity on the basis of a small number of patterns, and theories of how to reduce the multiplicity of arguments in non-logical, informal contexts to the small number of patterns whose validity is systematically studied (i.e. theories of formalization). Regrettably, we now tend to view logic 'proper' exclusively as what falls under the first sub-project, to the neglect of the second, equally important sub-project. In this paper, I discuss two historical theories of argument formalization: Aristotle's syllogistic theory as presented in the "Prior Analytics", and medieval theories of supposition. They both illustrate this two-fold nature of logic, containing in particular illuminating reflections on how to formalize arguments (i.e. the second sub-project). In both cases, the formal methods employed differ from the usual modern technique of translating an argument in ordinary language into a specially designed symbolism, a formal language. The upshot is thus a plea for a broader conceptualization of what it means to formalize.

DEVELOPMENT OF LOGIC IN INDIA: SIGNIFICANCE OF 'THE DUOLOGUE BETWEEN PĀYĀSI AND KASSAPA' ("LONG DISCOURSES")

ABSTRACT 'The Duologue of King/Governor Pāyāsi' ("Long Discourses") has long been recognised as a source for the proto-materialism current at the time of the Buddha. What needs to be stressed is the significance of the text as a pointer to the development of Logic in India. Perception (observation and experiment employing the joint method of agreement and difference), which is an accepted method of experimental enquiry, and reasoning from analogy, which can lead at best to a probable conclusion - these two are the only means employed to settle the dispute concerning the existence of the other-world. The Jain version of the same duologue-cum-parable, though varying in minor details regarding the name and identity of the monk refuting the king/governor, contains the same contrast, namely, perception versus analogical reasoning. There can be little doubt that the original parable was conceived with a view to asserting the existence of the other-world. In the Kaṭha Upaniṣad (sixth century BCE), an earlier Brahmanical text, however, instead of argument by analogy, verbal testimony (śabda) was invoked to settle the same point. Naciketas is assailed by doubt about the existence of a person after his or her death. The authority of Yama, the Pluto of Indian mythology, is invoked to convince him that the other-world does exist. Thus, the three parables taken together exhibit three means of knowledge in operation: verbal testimony and argument by analogy pitted against perception.

One reason, several logics

Humans have used arguments for defending or refuting statements long before the creation of logic as a specialized discipline. This can be interpreted as the fact that an intuitive notion of "logical consequence" or a psychic disposition to articulate reasoning according to this pattern is present in common sense, and logic simply aims at describing and codifying the features of this spontaneous capacity of human reason. It is well known, however, that several arguments easily accepted by common sense are actually "logical fallacies", and this indicates that logic is not just a descriptive, but also a prescriptive or normative enterprise, in which the notion of logical consequence is defined in a precise way and then certain rules are established in order to maintain the discourse in keeping with this notion. Yet in the justification of the correctness and adequacy of these rules commonsense reasoning must necessarily be used, and in such a way its foundational role is recognized. Moreover, it remains also true that several branches and forms of logic have been elaborated precisely in order to reflect the structural features of correct argument used in different fields of human reasoning and yet insufficiently mirrored by the most familiar logical formalisms.

The mathematics of McTaggart's paradox

Mc Taggart's celebrated proof of the unreality of time is a chain of implications whose final step asserts that the A-series (i.e. the classification of events as past, present or future) is intrinsically contradictory. This is widely believed to be the heart of the argument, and it is where most attempted refutations have been addressed; yet, it is also the only part of the proof which may be generalised to other contexts, since none of the notions involved in it is specifically temporal. In fact, as I show in the first part of the paper, McTaggart's refutation of the A-series can be easily interpreted in mathematical terms; subsequently, in order to strengthen my claim, I apply the same framework by analogy to the cases of space, modality, and personal identity. Therefore, either McTaggart's proof as a whole may be extended to each of these notions, or it must embed some distinctly temporal element in one of the steps leading up to the contradiction of the A-series. I conclude by suggesting where this element might lay, and by hinting at what I believe to be the true logical fallacy of the proof.

IS SELF-DECEPTION PRETENSE?

I assess Tamar Gendler's (2007) account of self-deception according to which its characteristic state is not belief, but imaginative pretense. After giving an overview of the literature and presenting the conceptual puzzles engendered by the notion of self-deception, I introduce Gendler's account, which emerges as a rival to practically all extant accounts of self-deception. I object to it by first arguing that her argument for abandoning belief as the characteristic state of self-deception conflates the state of belief and the process of belief-formation when interpreting David Velleman's (2000) thesis that belief is an essentially truth-directed attitude. I then call attention to the fact that Velleman's argument for the identity of motivational role between belief and imagining, on which Gendler's argument for self-deception as pretense depends, conflates two senses of 'motivational role'-a stronger but implausible sense and a weaker but explanatorily irrelevant sense. Finally, I introduce Neil Van Leeuwen's (2009) argument to the effect that belief is the practical ground of all non-belief cognitive attitudes in circum-stances wherein the latter prompt action. I apply this framework to Gendler's account to ultimately show that imaginative pretense fails to explain the existence of voluntary actions which result from self-deception.

Inferential Rationality and Internalistic Scarecrows

Abstract In a recent paper, Manuel Pérez Otero attempted to turn the tables on Paul Boghossian's claim that content externalism is incompatible with the 'a priority of our logical abilities'. In reply, Boghossian argued that Pérez Otero's criticism misses the main point of his argument through concentrating on the semantics of singular (as opposed to general) terms. I elaborate on Boghossian's reply by showing that even taken on its own terms Pérez Otero's paper fails to engage with internalism through systematically misrepresenting what a truly internalistic account of the semantics of singular terms should be.

Brazil on the spot: Rio+20, sustainability and a role for science

Rio +20, or the United Nations Conference for Sustainable Development, will take place at the end of this month of June 2012. In this paper, our central argument is that Brazil, as the host of Rio+20, has a historic opportunity to make the conference a success and take a decisive step in becoming a world leader in the shift from the traditional development paradigm to a new, sustainable development paradigm. To do that, Brazil will have to resolve a paradox: on the one hand the country has modern legislation and world class science, and on the other hand very poor social and environmental decision-making in recent times. In this column, we examine the green economy as a trajectory that leads to sustainable development and describe some pilot experiences at the sub-national level in Brazil. We discuss how science, and particularly plant sciences, will be essential to the transition to sustainable development. Finally, we propose immediate actions that we call upon the Brazilian government to commit to and to announce during this pivotal Rio+20 moment, which should serve as a milestone for all nations in building a sustainable future.

Statistical analysis of event-related potential elicited by verb-complement merge in Brazilian Portuguese

An interesting fact about language cognition is that stimulation involving incongruence in the merge operation between verb and complement has often been related to a negative event-related potential (ERP) of augmented amplitude and latency of ca. 400 ms - the N400. Using an automatic ERP latency and amplitude estimator to facilitate the recognition of waves with a low signal-to-noise ratio, the objective of the present study was to study the N400 statistically in 24 volunteers. Stimulation consisted of 80 experimental sentences (40 congruous and 40 incongruous), generated in Brazilian Portuguese, involving two distinct local verb-argument combinations (nominal object and pronominal object series). For each volunteer, the EEG was simultaneously acquired at 20 derivations, topographically localized according to the 10-20 International System. A computerized routine for automatic N400-peak marking (based on the ascendant zero-cross of the first waveform derivative) was applied to the estimated individual ERP waveform for congruous and incongruous sentences in both series for all ERP topographic derivations. Peak-to-peak N400 amplitude was significantly augmented (P < 0.05; one-sided Wilcoxon signed-rank test) due to incongruence in derivations F3, T3, C3, Cz, T5, P3, Pz, and P4 for nominal object series and in P3, Pz and P4 for pronominal object series. The results also indicated high inter-individual variability in ERP waveforms, suggesting that the usual procedure of grand averaging might not be considered a generally adequate approach. Hence, signal processing statistical techniques should be applied in neurolinguistic ERP studies allowing waveform analysis with low signal-to-noise ratio.

Dimensionality of the premenstrual syndrome: confirmatory factor analysis of premenstrual dysphoric symptoms among college students

Premenstrual syndrome and premenstrual dysphoric disorder (PMDD) seem to form a severity continuum with no clear-cut boundary. However, since the American Psychiatric Association proposed the research criteria for PMDD in 1994, there has been no agreement about the symptomatic constellation that constitutes this syndrome. The objective of the present study was to establish the core latent structure of PMDD symptoms in a non-clinical sample. Data concerning PMDD symptoms were obtained from 632 regularly menstruating college students (mean age 24.4 years, SD 5.9, range 17 to 49). For the first random half (N = 316), we performed principal component analysis (PCA) and for the remaining half (N = 316), we tested three theory-derived competing models of PMDD by confirmatory factor analysis. PCA allowed us to extract two correlated factors, i.e., dysphoric-somatic and behavioral-impairment factors. The two-dimensional latent model derived from PCA showed the best overall fit among three models tested by confirmatory factor analysis (c²53 = 64.39, P = 0.13; goodness-of-fit indices = 0.96; adjusted goodness-of-fit indices = 0.95; root mean square residual = 0.05; root mean square error of approximation = 0.03; 90%CI = 0.00 to 0.05; Akaike's information criterion = -41.61). The items "out of control" and "physical symptoms" loaded conspicuously on the first factor and "interpersonal impairment" loaded higher on the second factor. The construct validity for PMDD was accounted for by two highly correlated dimensions. These results support the argument for focusing on the core psychopathological dimension of PMDD in future studies.

Globalization, nation-state and catching up

Globalization and nation-states are not in contradiction, since globalization is the present stage of capitalist development, and the nation-state is the territorial political unit that organizes the space and population in the capitalist system. Since the 1980s, Global Capitalism constitutes the economic system characterized by the opening of all national markets and a fierce competition between nation-states. Developing countries tend to catch up, while rich countries try to neutralize such competitive effort, using globalism as an ideology, and conventional orthodoxy as a strategy. Middle-income countries that are catching up in the realm of globalization are the ones that count with a national development strategy. This is broadly the case of the dynamic Asian countries. In contrast, Latin American countries have no longer their own strategy, and grow less. To add data to the argument, the author conducts an econometric test comparing these two groups of countries, and three variables: the rate of investment, the current account deficit or surplus that would indicate or not a competitive exchange rate, and public deficit.

A economia ecológica e evolucionária de Georgescu-Roegen

The ecological and evolutionary economics of Georgescu-Roegen. The main argument of this paper is that Georgescu-Roegen's contributions represent a major disruption with economics' pre-analytic vision. He rejected at the same time both the closed and circular view of the economy and the mechanic analogies that oriented economics in the past century. Even though his influence has been felt mainly in the field of ecological economics, his epistemological contributions represent a major challenge to equilibrium thinking. Nowadays, treating economic systems as complex and evolutionary systems is becoming not only acceptable, but also a trend in the way political economy is made. We defend that Georgescu-Roegen's disruption represents a scientific revolution in economics, in the sense attributed by Kuhn.

The new international financial crisis: causes, consequences and perspectives

The paper investigates the recent financial crisis within a historical and comparative perspective having in mind that it is ultimately a confidence crisis, initially associated to a chain of high risk loans and financial innovations that spread thorough the international system culminating with impressive wealth losses. The financial market will eventually recover from the crisis but the outcome should be followed by a different and more disciplined set of international institutions. There will be a change on how we perceive the widespread liberal argument that the market is always efficient, or at least, more efficient than any State intervention, overcoming the false perception that the State is in opposition to the market. A deep financial crisis brings out a period of wealth losses and an adjustment process characterized by price corrections (commodities and equity price deflation) and real effects (recession and lower employment), and a period of turbulences and end of illusions is in place.

Integração financeira, poupança externa e convergência de renda: teoria e evidência

The conventional argument favoring capital controls elimination is based on the predictions from the neoclassical model: free international capital mobility would allow capital flows from country where capital is abundant to countries where capital is scarce and the outcome in a global perspective is efficient allocation of savings and income convergence. Within this perspective, financial integration would be particularly beneficial for developing countries resulting in external savings import, temporary increase in per-capita GDP growth rate and a permanent increase in the per-capita GDP level. Using data for a sample of 105 countries from 1980 to 2004 the evidences show that capitals flows from developing to developed countries and that international financial integration and external savings do not increase the conditional convergence rate.

Metas de inflação, regra de Taylor e neutralidade da moeda: uma crítica pós-keynesiana

Inflation targeting, Taylor rule and money neutrality: a post-Keynesian critic. This paper critically discusses the inflation targeting regime proposed by orthodox economists, in particular the Taylor Rule. The article describes how the Taylor Rule assumes the argument of money neutrality inherited from the Quantitative Theory of Money. It discusses critically the ways of operation of the rule, and the negative impacts of the interest rate over the potential output. In this sense, the article shows the possible vicious circles of the monetary policy when money is not neutral, as is the case for post-keynesian economists. The relation of interest rates, potential output and the output gap is illustrated in some estimates using the methodology of Vector Auto-Regressive in the Brazilian case.

Corruption, income, and rule of law: empirical evidence from developing and developed economies

This article presents an empirical analysis based on cross-country data concerned with two points regarding corruption: (i) its effects on income; and (ii) how to mitigate corruption. The findings can be highlighted in two points. Firstly the idea that corruption is intrinsically connected with income is confirmed. Secondly, the traditional argument that an increase in rule of law represents a good strategy in the fight against corruption is valid for developing countries. Furthermore, this study reveals that the search for increasing the human development index represents a rule of thumb for high levels of income and to control corruption.