We consider a natural-language sentence that cannot be formally represented in a first-order language for epistemic two-dimensional semantics. We also prove this claim in the “Appendix” section. It turns out, however, that the most natural ways to repair the expressive inadequacy of the first-order language render moot the original philosophical motivation of formalizing a priori knowability as necessity along the diagonal.

This paper draws out and connects two neglected issues in Kant’s conception of a priori knowledge. Both concern topics that have been important to contemporary epistemology and to formal epistemology in particular: knowability and luminosity. Does Kant commit to some form of knowability principle according to which certain necessary truths are in principle knowable to beings like us? Does Kant commit to some form of luminosity principle according to which, if a subject knows a priori, then they (...) can know that they know a priori? I defend affirmative answers to both of these questions, and by considering the special kind of modality involved in Kant’s conceptions of possible experience and the essential completability of metaphysics, I argue that his combination of knowability and luminosity principles leads Kant into difficulty. (shrink)

ABSTRACT: It is a familiar story that Kant’s defence of our synthetic a priori cognition in the Critique of Pure Reason suffered sharp criticism throughout the extended philosophical revolutions that established analytic philosophy, the pragmatist tradition, and the phenomenological tradition as dominant philosophical movements in the first half of the twentieth century. One of the most important positive adaptations of Kant’s outlook, however, was the combined analytic and pragmatist conceptions of the a priori that were developed by the (...) American philosophers C. I. Lewis (1883–1964) and Wilfrid Sellars (1912–1989), most notably in Lewis’s 1929 classic, Mind and the World Order, followed by Sellars’ critical reworking of Lewis’s outlook in ‘Is There a Synthetic A Priori?’ (1953) and other mid-century articles. Both Lewis and Sellars defended central aspects of Kant’s analysis of our a priori knowledge of mind-independent physical objects and necessary causal connections. But both also radically transformed Kant’s view by defending the idea that there are alternative a priori conceptual frameworks that are subject to an ongoing process of reassessment and replacement on overall pragmatic and explanatory grounds. Furthermore, while Sellars’ answer to his question, ‘Is There a Synthetic A Priori?’ thus represented a partial endorsement of Lewis’s pragmatic relativization of the a priori, I argue that Sellars’ account of meaning diverged from Lewis in ways that constituted a significant improvement upon the previous ‘analytic’ defenses of the a priori, not only in Lewis but in general. This arguably has implications for wider disputes concerning the nature and possibility of a priori knowledge in non-formal domains. (shrink)

This paper attempts to shed light on three sets of issues that bear directly on our understanding of Locke and Kant. The first is whether Kant believes Locke merely anticipates his distinction between analytic and synthetic judgments or also believes Locke anticipates his notion of synthetic a priori cognition. The second is what should we as readers of Kant and Locke should think about Kant’s view whatever it turns out to be, and the third is the nature of Kant’s (...) justification for the comparison he draws between his philosophy and Locke’s. I argue (1) that Kant believes Locke anticipates both the analytic-synthetic distinction and Kant’s notion of synthetic a priori cognition, (2) that the best justification for Kant’s claim draws on Locke’s distinction between trifling and instructive knowledge, (3) that the arguments against this claim developed by Carson, Allison, and Newman fail to undermine it, and (4) that Kant’s own justification for his claim is quite different from what many commentators have thought it was (or should have been). (shrink)

In this text I propose a formal framework for the study of phenomenal objectness - the distinction in an a priori undifferenciated experience of the phenomenal field of certain 'objects'. The purpose of this framework is to represent (even partially) the reality of phenomenal experience in its structure (which participates conceptually to consciousness as such) and at the same time to allow the production of a tractable formalism in order to search for a mathematical explanation for the fundamental (...) phenomenon of objectness. The constitution of this framework is based on intuitions from consciousness literature as well as the recent integrated information theory. Before coming to the framework's definition, I analyse this theory from the point of view of the discourse, through concepts that I introduce here (statical and dynamical phases of the discourse), and explain some severe epistemic difficulties it encounters. The definition of a general combination criterion for the inter-discourse between philosophy and mathematics (which is necessary for the project of explaining consciousness scientifically) in these terms leads in this text to disentangle this theory into the proposed framework. (shrink)

Argues against several influential a priori arguments for individualism in the philosophy of mind that were influential in the 1980s.

This chapter critically examines the dominant tradition in formal education as an indirect driver of biocultural homogenization while revealing that there is an alternative tradition that fosters biocultural conservation. The dominant tradition, originating in the Seventeenth Century scientific revolution effected by René Descartes, Thomas Hobbes, Isaac Newton, John Locke and allied thinkers, privileges science, seen as facilitating the technological domination of the world in the service of economic growth, as the only genuine knowledge. This is at the foundation of (...) a globalized, homogenizing culture that reduces everything and everyone to instruments of the globalized economy. The alternative, now recognized as the Radical Enlightenment, has its roots in the Renaissance. Represented by thinkers such as Giordano Bruno, Giambattista Vico, Gottfried Herder and Friedrich Wilhelm Schelling, it challenges such dogmatic scientism and upholds the value of diverse cultures, past and present. It offers an alternative tradition and model of education fostering imagination, understanding and appreciation of diversity in the quest for wisdom. It is a model of education which engenders respect for and appreciation of the value of different cultures, including indigenous wisdom with very different attitudes to nature, thereby developing the capacity to reflect on, question, criticize and overcome the homogenizing imperialism of mainstream modernist culture. (shrink)

This chapter uncovers a less investigated aspect of the relationship between the two most important scholastic schools of the Renaissance, Thomism and Scotism: the influence of Scotist literature on distinctions as seen in some sixteenth-century Thomists. The chapter has a primary focus on Chrysostomus Javelli’s engagement in his discussion of divine attributes with the Scotist doctrine of distinctions, but also considers other Thomist sources. First, the beginnings of the highly specialised Scotist literature on distinctions are traced back to the start (...) of the fourteenth century; I show how some early followers of Duns Scotus, in particular Francis of Meyronnes and Petrus Thomae, systematised Scotus’ ontology of the various grades of being by compiling lists of subtle distinctions to be applied to various levels of reality. I give some indications as to the later reception of these models of distinctions in the Scotist school. Special attention is paid to Étienne Brulefer, since his summary of Petrus Thomae’s model of seven distinctions was Javelli’s source for the Scotist doctrine. I then investigate how Javelli worked with Brulefer’s summary, and how he sought to integrate the Scotist doctrine into his own discussion of divine attributes. Thomists traditionally allowed only a rational or mental kind of distinction among divine attributes, and between them and the divine essence. Javelli, however, endeavours to show how the Thomist position may be reconciled with the Scotist doctrine of a formal or ex natura rei distinction. He did not always endorse this conciliatory approach; I hypothesise that he changed his mind on the subject over time. Finally, I show how other Renaissance Thomists reacted to the Scotist system of distinctions; in particular, I draw attention to the Thomists Andreas Bodenstein von Karlstadt, Bartolomeo Manzoli, and Mattia Gibboni da Aquario, who all wrote treatises on Thomist distinction theory modelled on the Scotist system of distinctions. In some of this literature, lists of distinctions based on Thomist metaphysics were compiled in order to replace the Scotist system. I argue that Javelli’s approach is more conciliatory and, in fact, has some overlap with the concordist thought of Giovanni Pico della Mirandola, who himself considered Scotus and Aquinas to be in fundamental agreement as regards the distinction between divine attributes. (shrink)

Revised version of chapter in J. N. Mohanty and W. McKenna (eds.), Husserl’s Phenomenology: A Textbook, Lanham: University Press of America, 1989, 29–67. -/- Logic for Husserl is a science of science, a science of what all sciences have in common in their modes of validation. Thus logic deals with universal laws relating to truth, to deduction, to verification and falsification, and with laws relating to theory as such, and to what makes for theoretical unity, both on the side of (...) the propositions of a theory and on the side of the domain of objects to which these propositions refer. This essay presents a systematic overview of Husserl’s views on these matters as put forward in his Logical Investigations. It shows how Husserl’s theory of linguistic meanings as species of mental acts, his formal ontology of part, whole and dependence, his theory of meaning categories, and his theory of categorial intuition combine with his theory of science to form a single whole. Finally, it explores the ways in which Husserl’s ideas on these matters can be put to use in solving problems in the philosophy of language, logic and mathematics in a way which does justice to the role of mental activity in each of these domains while at the same time avoiding the pitfalls of psychologism. (shrink)

We present a multidisciplinary, universal a pragmatic theory of causation based explicitly on five methodological causal seminal dimensions. The first one is called formal-mathematical-idealist theory and emerges as a meta-conceptual fusion of several existing causal theories. The second one is essentially based on a global, scientific and technical perspective. In fact, this can be considered as a meta-dimension encompassing a huge number of academic disciplines. The third dimension arises once more as combination of former approaches having the mind and (...) its laws as the central paradigm. The fourth one is structurally related with our subjective phenomenological world and its objective impact on the external universe. And, finally, the fifth dimension is closely related with the first one, but more oriented toward the global implicit purpose of the universe and what this implies causally on the events in nature. We give several concrete examples elucidating the explanatory range of our theory. (shrink)

We describe (essential features and an axiomatization of) a new metamathematical (cognitive) ability, i.e., functional conceptual substratum, used implicitly in the generation of several mathematical proofs and definitions, and playing a fundamental role in Artificial Mathematical Intelligence (or Cognitive-computational metamathematics). Furthermore, we present an initial (first-order) formalization of this mechanism together with its characterizing relation with classic notions like primitive positive definability and Diophantiveness. Additionally, we analyze the semantic variability of functional conceptual substratum when small syntactic modifications are done. Finally, (...) we describe cognitively natural inference rules for (mathematical) definitions inspired by functional conceptual substratum and we show that they are sound and complete w.r.t.\ standard calculi. (shrink)

The boundless nature of the natural numbers imposes paradoxically a high formal bound to the use of standard artificial computer programs for solving conceptually challenged problems in number theory. In the context of the new cognitive foundations for mathematics' and physics' program immersed in the setting of artificial mathematical intelligence, we proposed a refined numerical system, called the physical numbers, preserving most of the essential intuitions of the natural numbers. Even more, this new numerical structure additionally possesses the property (...) of being a bounded object allowing us to work with quite similar axioms like the classic Peano axioms, but in a finite environment and with an enriched physical dimension. Finally, we present several enlightening examples and we conclude that the physical numbers provide a natural formal setting for approaching classic problems in number theory from a more hybrid perspective, i.e. with a potential participation in the generation of solutions, not only of working mathematicians but also of more sophisticated artificial interactive (mathematical) intelligent agents (within the context of cognitive-computational metamathematics or artificial mathematical intelligence) and more controlled by physically-inspired principles. Finally, this paper addresses a highly new, bottom-up and paradigm-shifting approach to the foundations of physics: One should refine and improve the conceptual formal setting of the language that we use for understanding physical phenomena (e.g. the mathematical grounding concepts and theories) for being able to understand better more subtle and complex physical phenomena. (shrink)

This paper introduces new logical systems which axiomatize a formal representation of inconsistency (here taken to be equivalent to contradictoriness) in classical logic. We start from an intuitive semantical account of inconsistent data, fixing some basic requirements, and provide two distinct sound and complete axiomatics for such semantics, LFI1 and LFI2, as well as their first-order extensions, LFI1* and LFI2*, depending on which additional requirements are considered. These formal systems are examples of what we dub Logics of (...) class='Hi'>Formal Inconsistency (LFI) and form part of a much larger family of similar logics. We also show that there are translations from classical and paraconsistent first-order logics into LFI1* and LFI2*, and back. Hence, despite their status as subsystems of classical logic, LFI1* and LFI2* can codify any classical or paraconsistent reasoning. (shrink)

Knill, Kersten, & Mamassian (Chapter 6) provide an interesting discussion of how the Bayesian formulation can be used to help investigate human vision. In their view, computational theories can be based on an ideal observer that uses Bayesian inference to make optimal use of available information. Four factors are important here: the image information used, the output structures estimated, the priors assumed (i.e., knowledge about the structure of the world), and the likelihood function used (i.e., knowledge about the projection of (...) the world onto the sensors). Knill & Kersten argue that such a framework not only helps analyze a perceptual task, but can also help investigators to define it. Two examples are provided (the interpretation of surface contour and the perception of moving shadows) to show how this approach can be used in practice. As the authors admit, most (if not all) perceptual processes are ill-suited to a "strong" Bayesian approach based on a single consistent model of the world. Instead, they argue for a "weak" variant that assumes Bayesian inference to be carried out in modules of more limited scope. But how weak is "weak"? Are such approaches suitable for only a few relatively low-level tasks, or can they be applied more generally? Could a weak Bayesian approach, for example, explain how we would recognize the return of Elvis Presley? The formal modelling of human perception To help get a fix on things, it is useful to examine the fate of an earlier attempt to formalize human perception: the application of information theory. It was once hoped that this theory—a close cousin of the Bayesian formulation—would provide a way to uncover information-handling laws that were largely independent of physical implementation. In this approach, the human nervous system was assumed to have.. (shrink)

Looks into evaluation of information provision probability from different sources, based on use of linguistic variables. Formation of functions appurtenant for its unclear variables provides for adoption of decisions by the decision maker, in conditions of nonprobabilistic equivocation. The development of market relations in Ukraine increases the independence and responsibility of enterprises in justifying and making management decisions that ensure their effective, competitive activities. As a result of the analysis, it is determined that the condition of economic facilities can be (...) described and determined by the decision-maker, in the presence of the necessary information. The confidence of the decision-maker in the information received is different and the decisions made have a correspondingly different level of information risk. It is important to substantiate the procedure for assessing the numerical extent of information risk in decision-making based on the information obtained in conditions of uncertainty. The use of a linguistic variable in the processing of expert data presented in the form of a matrix of binary relations of values of the membership function, which allowed to move to further processing of knowledge to support decision-making in the management of industrial, commercial, financial and other activities. As a mathematical model for estimating the numerical measure of information risk when making decisions based on the information obtained in conditions of non-stochastic uncertainty, a model has been developed to model natural language uncertainties, which differs from existing ones by formalizing knowledge taking into account uncertainty of input information. Making such a clear decision in a fuzzy environment has appropriate values of effectiveness and risk. The paper proposes all the functions and accessories of indicators of both quantitative nature and qualitative nature to bring their values in the field of definition to one scale. Then the indicator of the effectiveness of decision-making will be a measure of the clarity of the cross-section of fuzzy subsets, which correspond to the introduced indicators of information risk. The condition of economic facilities can be described and determined by the decision-maker, if the necessary information is available. Decision-making on thenumerical measure of information risk must be determined by a set of basic indicators, which can be both quantitative and qualitative in nature. Predictive values of indicators should be determined in conditions of nonstochastic uncertainty. In this case, the indicators of a quantitative nature can be determined by fuzzy triangular numbers, which implement a high level of confidence in the subjective judgments of experts. Indicators of qualitative nature should be presented in linguistic variables. The values of the indicators of qualitative nature that are predicted must be considered for all fuzzy variable terms-sets of linguistic variables introduced into consideration. For any fuzzy variable, the introduction to the consideration of a clear set of values as carriers of the α-level of its membership function allows to reduce to a single interpretation of the predicted values of indicators of quantitative and qualitative nature in terms of non-stochastic uncertainty. (shrink)

The general methodology of "algebraizing" logics is used here for combining different logics. The combination of logics is represented as taking the colimit of the constituent logics in the category of algebraizable logics. The cocompleteness of this category as well as its isomorphism to the corresponding category of certain first-order theories are proved.

In 1906, Henry Stephens Salt published a short collection of essays that presented several rhetorically powerful, if formally deficient arguments for the vegetarian position. By interpreting Salt as a moral sentimentalist with ties to Aristotelian virtue ethics, I propose that his aesthetic argument deserves contemporary consideration. First, I connect ethics and aesthetics with the Greek concepts of kalon and kalokagathia that depend equally on beauty and morality before presenting Salt’s assertion: slaughterhouses are disgusting, therefore they should not be promoted. I (...) suggest three areas of development since Salt’s death that could be fruitfully plumbed to rebuild this assertion into a contemporary argument: an updated analysis of factory farm conditions, insights from moral psychologists on the adaptive socio-biological benefits of disgust as a source of cognitive information, and hermeneutical considerations about the role of the audience that allow blameworthiness for slaughterhouse atrocities to be laid upon the meat-eater. (shrink)

In this paper, we present an intelligent tutoring system developed to help students in learning Computer Theory. The Intelligent tutoring system was built using ITSB authoring tool. The system helps students to learn finite automata, pushdown automata, Turing machines and examines the relationship between these automata and formal languages, deterministic and nondeterministic machines, regular expressions, context free grammars, undecidability, and complexity. During the process the intelligent tutoring system gives assistance and feedback of many types in an intelligent manner according (...) to the behavior of the student. An evaluation of the intelligent tutoring system has revealed reasonably acceptable results in terms of its usability and learning abilities are concerned. (shrink)

This collection of newly commissioned essays, edited by NYU philosophers Paul Boghossian and Christopher Peacocke, resumes the current surge of interest in the proper explication of the notion of a priori. The authors discuss the relations of the a priori to the notions of definition, meaning, justification, and ontology, explore how the concept figured historically in the philosophies of Leibniz, Kant, Frege, and Wittgenstein, and address its role in the contemporary philosophies of logic, mathematics, mind, and science. The (...) editors’ Introduction familiarizes the reader with the issues that are to be explored in detail in later parts of the anthology. (shrink)

The paper presents the outlines of an ontology of plans and guidelines, which is then used as the basis for a framework for implementing guideline-based systems for the management of workflow in health care organizations. The framework has a number of special features, above all in that it enables us to represent in formal terms assignments of work-items both to individuals and to teams and to tailor guideline to specific contexts of application in health care organizations. It is designed (...) also to enable implementations to do justice to the fact that the processes carried out in health care organizations may deviate in different ways from the norms set forth in corresponding guideline definitions. This means that implementations built in conformity with the framework will be marked by a type of flexibility that might make them more likely to be accepted by healthcare professionals than are standard guideline-based management systems. (shrink)

The representation of propositional attitudes (beliefs, desires, etc.) and the analysis of natural-language, propositional-attitude reports presents difficult problems for cognitive science and artificial intelligence. In particular, various representational approaches to attitudes involve the incorrect “imputation,” to cognitive agents, of the use of artificial theory-laden notions. Interesting cases of this problem are shown to occur in several approaches to attitudes. The imputation problem is shown to arise from the way that representational approaches explicate properties and relationships, and in particular from the (...) way they explicate propositional attitudes themselves. Another factor contributing to imputation is the compositional nature of typical semantic approaches to propositional-attitude reports. Some strategies for avoiding undesirable imputation are examined. One of the main conclusions is that the importance of imputations that arise in a representation scheme depends strongly on the use to which the scheme is put -- on whether, for instance, the scheme is used as part of a formal, objective account of natural language, or is used rather as a representational tool within an agent. (shrink)

The abstract basis of modern computation is the formal description of a finite state machine, the Universal Turing Machine, based on manipulation of integers and logic symbols. In this contribution to the discourse on the computer-brain analogy, we discuss the extent to which analog computing, as performed by the mammalian brain, is like and unlike the digital computing of Universal Turing Machines. We begin with ordinary reality being a permanent dialog between continuous and discontinuous worlds. So it is with (...) computing, which can be analog or digital, and is often mixed. The theory behind computers is essentially digital, but efficient simulations of phenomena can be performed by analog devices; indeed, any physical calculation requires implementation in the physical world and is therefore analog to some extent, despite being based on abstract logic and arithmetic. The mammalian brain, comprised of neuronal networks, functions as an analog device and has given rise to artificial neural networks that are implemented as digital algorithms but function as analog models would. Analog constructs compute with the implementation of a variety of feedback and feedforward loops. In contrast, digital algorithms allow the implementation of recursive processes that enable them to generate unparalleled emergent properties. We briefly illustrate how the cortical organization of neurons can integrate signals and make predictions analogically. While we conclude that brains are not digital computers, we speculate on the recent implementation of human writing in the brain as a possible digital path that slowly evolves the brain into a genuine (slow) Turing machine. (shrink)

In a recent opinion paper, it was argued that individuals with multiple retractions or a record of academic misconduct should not serve as editors, including as editors-in-chief, on the editorial boards of scholarly or academic journals. As a first step towards appreciating how such a policy could be applied in practice, the presence of 30 individuals listed on the Retraction Watch Leaderboard on editorial boards was screened. Six cases are highlighted to gain an appreciation of the potential reputational risks that (...) journals and publishers might incur by including individuals with a tainted academic record on editorial boards. Given the reputational, legal and other risks associated with this type of assessment and decision, more formal positioning and guidance are needed by global ethics policy-related bodies such as COPE, the ICMJE, and the CSE, even more so in journals that claim to follow these organizations’ ethical guidelines. (shrink)

Dung’s argumentation frameworks are formalisms widely used to model interaction among arguments. Although their study has been profusely developed in the field of Artificial Intelligence, it is not common to see its treatment among those less connected to computer science within the logical-philosophical community. In this paper we propose to bring to that audience a proof-theory for argument justification based on tableaux, very similar to those the Logic students are familiar with. The tableaux enable to calculate whether an argument or (...) subset of arguments are accepted or rejected in accordance to Dung’s preferred and grounded extension-based semantics. Soundness and completeness results regarding those semantics are provided. (shrink)

A precise formulation of the structure of modern evolutionary theory has proved elusive. In this paper, I introduce and develop a formal approach to the structure of population genetics, evolutionary theory's most developed sub-theory. Under the semantic approach, used as a framework in this paper, presenting a theory consists in presenting a related family of models. I offer general guidelines and examples for the classification of population genetics models; the defining features of the models are taken to be their (...) state spaces, parameters, and laws. The suggestions regarding the various aspects of the characterization of population genetics models provide an outline for further detailed research. (shrink)

Ontology has been proposed as a solution to the 'Tower of Babel' problem that threatens the semantic interoperability of information systems constructed independently for the same domain. In information systems research and applications, ontologies are often implemented by formalizing the meanings of words from natural languages. However, words in different natural languages sometimes subdivide the same domain of reality in terms of different conceptual categories. If the words and their associated concepts in two natural languages, or even in two terminological (...) traditions within the same language, do not have common referents in the real world, an ontology based on word meanings will inherit the 'Tower of Babel' problem from the languages involved, rather than solve it. In this paper we present evidence from a preliminary comparison of landscape terms in English with those in the Yindjibarndi language of northwestern Australia demonstrating that this problem is not just hypothetical. Some possible solutions are suggested. (shrink)

Achieving space situational awareness requires, at a minimum, the identification, characterization, and tracking of space objects. Leveraging the resultant space object data for purposes such as hostile threat assessment, object identification, and conjunction assessment presents major challenges. This is in part because in characterizing space objects we reference a variety of identifiers, components, subsystems, capabilities, vulnerabilities, origins, missions, orbital elements, patterns of life, operational processes, operational statuses, and so forth, which tend to be defined in highly heterogeneous and sometimes inconsistent (...) ways. The Space Domain Ontologies are designed to provide a consensus-based realist framework for formulating such characterizations in a way that is both consistent and computable. Space object data are aligned with classes and relations in a suite of ontologies built around the existing Space Object Ontology. They are stored in a dynamically updated Resource Description Framework triple store, which can be queried to support space situational awareness and the needs of spacecraft operators and analysts. This paper provides an overview of the Space Domain Ontologies and their development and use. It presents the motivation for and advantages of the Space Domain Ontologies, including the benefits they provide for enhancing and maintaining long-term space situational awareness. (shrink)

In Foucault’s theoretical writings, the problem of experience occurs in two shapes: his discussions of “limit-experience” and his definition of “experience.” In this article, I propose an interpretation of the concept of “limit-experience” in Foucault’s historiography according to which experience is already limit-experience, and not its static and confining other. I claim that Foucault’s concept of experience involves spatially and temporally indexed, rule-governed practices and that his interrogation of experience becomes critical not by referring to some other of reason but (...) by rendering visible the flip side of the limits of our own space of reasons. The argument in support of my interpretation of Foucault develops in two parts: 1) Foucault’s “methodology” should be seen not as historicizing the transcendental, but as giving it up. 2) This renunciation of the transcendental is nonetheless only intelligible and motivated against the background of the problematic of experience in Kant and Hegel. It thereby becomes possible to provide not a foundation but a justification for a Foucaultian critique of the limits of experience. (shrink)

This paper briefly outlines some advancements in paraconsistent logics for modelling knowledge representation and reasoning. Emphasis is given on the so-called Logics of Formal Inconsistency (LFIs), a class of paraconsistent logics that formally internalize the very concept(s) of consistency and inconsistency. A couple of specialized systems based on the LFIs will be reviewed, including belief revision and probabilistic reasoning. Potential applications of those systems in the AI area of KRR are tackled by illustrating some examples that emphasizes the importance (...) of a fine-tuned treatment of consistency in modelling reputation systems, preferences, argumentation, and evidence. (shrink)

There are two foundational, but not fully developed, ideas in paraconsistency, namely, the duality between paraconsistent and intuitionistic paradigms, and the introduction of logical operators that express meta-logical notions in the object language. The aim of this paper is to show how these two ideas can be adequately accomplished by the Logics of Formal Inconsistency (LFIs) and by the Logics of Formal Undeterminedness (LFUs). LFIs recover the validity of the principle of explosion in a paraconsistent scenario, while LFUs (...) recover the validity of the principle of excluded middle in a paracomplete scenario. We introduce definitions of duality between inference rules and connectives that allow comparing rules and connectives that belong to different logics. Two formal systems are studied, the logics mbC and mbD, that display the duality between paraconsistency and paracompleteness as a duality between inference rules added to a common core– in the case studied here, this common core is classical positive propositional logic (CPL + ). The logics mbC and mbD are equipped with recovery operators that restore classical logic for, respectively, consistent and determined propositions. These two logics are then combined obtaining a pair of logics of formal inconsistency and undeterminedness (LFIUs), namely, mbCD and mbCDE. The logic mbCDE exhibits some nice duality properties. Besides, it is simultaneously paraconsistent and paracomplete, and able to recover the principles of excluded middle and explosion at once. The last sections offer an algebraic account for such logics by adapting the swap-structures semantics framework of the LFIs the LFUs. This semantics highlights some subtle aspects of these logics, and allows us to prove decidability by means of finite non-deterministic matrices. (shrink)

As a national ideology, Pancasila has formal quality, but it is also part of the material aspects that shapes perspectives that drives national policies through the process of consensus. The open and ambiguous character of Pancasila allows a wide space for social and political interpretation, and therefore is open to critique and reformation through reinterpretations of its meaning. An examination of the ethics of the socio-political application of Pancasila is crucial in the current national climate, and these ethical valuations (...) are formed through public discussions and debates on the meaning of Pancasila. Using data drawn from mass media. In this paper, I will examine the Government Regulation on Law (Perppu No. 2/2017) as an example of how these political ethics develop through the discussion of the meaning of Pancasila. Second, I'll highlight how the space for interpretation of the meaning of Pancasila determines how the public, government and oppositional coalitions evaluate the pro and contra approaches to translating the ideology into practice. Third, in examining the process of socio-political consensus as a necessity in the democratic life of Indonesia, this paper will position the discursive deployments of Pancasila in the ethical and political considerations that stem from the practical application of these discourses of Pancasila. (shrink)

In this paper, we argue that, barring a few important exceptions, the phenomenon we refer to using the expression “being moved” is a distinct type of emotion. In this paper’s first section, we motivate this hypothesis by reflecting on our linguistic use of this expression. In section two, pursuing a methodology that is both conceptual and empirical, we try to show that the phenomenon satisfies the five most commonly used criteria in philosophy and psychology for thinking that some affective episode (...) is a distinct emotion. Indeed, being moved, we claim, is the experience of a positive core value (particular object) perceived by the moved subject as standing out (formal object) in the circumstances triggering the emotion. Drawing on numerous examples, we describe the distinctively rich phenomenology characteristic of the experience as well as the far-reaching action-tendencies and functions associated with it. Having thus shown that the candidate emotion seem to satisfy the five criteria, we go on, in section three, to compare it with sadness and joy, arguing that it should not be confused with either. Finally, in section four, we illustrate the explanatory power of our account of “being moved” by showing how it can shed light on, and maybe even justify, the widespread distrust we feel towards the exhibition of ‘sentimentality’. On the whole and if we are right, we have uncovered an emotion which, though never or rarely talked about, is of great interest and no small importance. (shrink)

“Pick a card, any card. This has to be a completely free choice.” the magician tells you. But is it really? Although we like to think that we are using our free will to make our decisions, research in psychology has shown that many of our behaviours are automatic and unconsciously influenced by external stimuli (Ariely, 2008; Bargh & Chartrand, 1999; Newell & Shanks, 2014; Nisbett & Wilson, 1977), and that we are often oblivious to the cognitive mechanisms that underpin (...) our decision (Wegner, 2002, 2003). Magicians have exploited this illusory sense of agency for a long time, and have developed a wide range of techniques to influence and control spectators’ choices of such things as card, word, or number (Annemann, 1933; Banachek, 2002a; Jones, 1994; Turner, 2015). These techniques are instances of what is called forcing. -/- Many forces are extremely effective, illustrating various weaknesses in our sense of control over decisions and their outcomes. Researchers have started to investigate them in various ways (Kuhn, Pailh s, & Lan, 2020; Olson, Amlani, Raz, & Rensink, 2015; Pailhes & Kuhn, 2020b, 2020c; Shalom et al., 2013) and are beginning to obtain valuable insights into decision-making processes as well as a better understanding of the cognitive mechanisms that lead people to experience an illusory sense of free will and of agency. -/- Although magicians have acquired large amounts of knowledge in covertly controlling people’s choices, much of this knowledge is only discussed in the context of individual magic tricks, or in books that are not readily accessible to non-magicans. As we and others have argued elsewhere (Ekroll, Sayim, & Wagemans, 2017; Kuhn, 2019; Kuhn, Amlani, & Rensink, 2008; Kuhn, Caffaratti, Teszka, & Rensink, 2014; Macknik et al., 2008; Olson et al., 2015; Olson, Landry, Appourchaux, & Raz, 2016; Shalom et al., 2013; Thomas, Didierjean, Maquestiaux, & Gygax, 2015), a particularly effective way of making this knowledge more available is via the creation of taxonomies centered around psychological mechanisms (Rensink & Kuhn, 2015). For example, the psychologically based taxonomy of misdirection (Kuhn et al., 2014) helps draw links between misdirection and formal theories of perception and cognition. -/- Our aim here is to apply a similar process to the knowledge magicians have about forcing. The present paper develops a psychologically based taxonomy of forcing techniques with two goals in mind. Firstly, it should help uncover the various psychological mechanisms that underlie forcing techniques. Secondly, it should facilitate knowledge transfer between magicians and psychologists. Among other things, this knowledge will allow researchers to gain new insights into the mechanisms underlying decision-making, and the feeling of free will and of agency over choice. We start by defining the magician’s force and then look at some of the past classifications of forcing. (shrink)

Reinhardt’s conjecture, a formalization of the statement that a truthful knowing machine can know its own truthfulness and mechanicalness, was proved by Carlson using sophisticated structural results about the ordinals and transfinite induction just beyond the first epsilon number. We prove a weaker version of the conjecture, by elementary methods and transfinite induction up to a smaller ordinal.

How is it possible that beginning from the negation of rational thoughts one comes to produce knowledge? This problem, besides its intrinsic interest, acquires a great relevance when the representation of a knowledge is settled, for example, on data and automatic reasoning. Many treatment ways have been tried, as in the case of the non-monotonic logics; logics that intend to formalize an idea of reasoning by default, etc. These attempts are incomplete and are subject to failure. A possible solution would (...) be to formulate a logic of the irrational, which offers a model for reasoning permitting to support contradictions as well as to produce knowledge from such situations. An intuition underlying the foundation of such a logic consists of the da Costa's paraconsistent logics presenting however, a different deduction theory and a whole distinct semantics, called here "the semantics of possible translations". The present proposing, following our argumentation, intends to enlight all this question, by a whole satisfactory logical point of view, being practically applicable and philosophically acceptable.Como é possível que a partir da negação do racional se possa obter conhecimento adicional? Esse problema, além de seu interesse intrínseco, adquire uma relevância adicional quando o encontramos na representação do conhecimento em bases de dados e raciocínio automático, por exemplo. Nesse caso, diversas tentativas de tratamento têm sido propostas, como as lógicas não-monotônicas, as lógicas que tentam formalizar a ideia do raciocínio por falha . Tais tentativas de solução, porém, são falhas e incompletas; proponho que uma solução possível seria formular uma lógica do irracional, que oferecesse um modelo para o raciocínio permitindo não só suportar contradições, como conseguir obter conhecimento, a partir de tais situações. A intuição subjacente à formulação de tal lógica são as lógicas paraconsistentes de da Costa, mas com uma teoria da dedução diferente e uma semântica completamente distinta . Tal proposta, como pretendo argumentar, fornece um enfoque para a questão que é ao mesmo tempo completamente satisfatório, aplicável do ponto de vista prático e aceitável do ponto de vista filosófico. (shrink)

The Formalist tradition in late-scholastic philosophy has gone unnoticed in standard historiography. This article’s overall objective is to add the Formalist tradition to what we know about Renaissance philosophy. I first show how the Formalist tradition was born out of some innovative considerations of hierarchies of distinctions in the wake of the Franciscan John Duns Scotus’s teaching on the formal distinction in the beginning of the fourteenth century (especially Francis of Meyronnes’s model of four distinctions and Petrus Thomae’s more (...) elaborate doctrine of seven kinds of distinctions). I then trace how Formalist literature developed from being an exclusively Franciscan affair to becoming a much more widespread phenomenon. Thus, from the decades up to 1500 and onwards, authors from various late-scholastic schools (Thomism, Lullism, Averroism, and others) produced Formalist literature, i.e., treatises on multiple kinds of distinctions. I highlight particularly how one Franciscan philosopher of the sixteenth century, Jean Du Douet, proposed to view the Formalist preoccupation with distinctions as a discipline in its own right, a proper scientia formalitatum. I finally argue that while this proposal met with dismissive reactions, Du Douet’s idea does in fact reflect the role Formalism played in the scholastic curriculum in the late sixteenth century, at least in Franciscan milieus. (shrink)

The following is an interpretation of Aquinas’ agent intellect focusing on Summa Theologiae I, qq. 75-89, and proposing that the agent intellect is a metaphysical rather than a formal a priori of human understanding. A formal a priori is responsible for the intelligibility as content of the object of human understanding and is related to Kant’s epistemological views; whereas a metaphysical a priori is responsible for intelligibility as mode of being of this same object. We (...) can find in Aquinas’ text many indications that the agent intellect is not productive of the universal as content but is, rather, productive of the abstracted or intelligible mode of being of the universal nature. This is because for Aquinas the universal nature, which is the object of human understanding, is present in the things themselves but with a different mode of being. Chapter 1 is intended to establish the fact which requires for Aquinas an agent intellect, and provides two very important principles: one is that the object of human understanding (the universal nature) is present in the things themselves and, the other, that it is not in the things themselves with a mode of being which makes it available to the intellectual eye. These two principles lead us to the main point of Chapter 2, namely the distinction between the intelligible object and its intelligible mode of being. Now, because knowing is receptive of the intelligible object (Chapter 3), which is present in the things themselves (Chapter 1), the agent intellect is productive not of the object’s intelligible content, but of its abstracted or intelligible mode of being (Chapter 4). (shrink)

The idea that the epistemology of modality is in some sense a priori is a popular one, but it has turned out to be difficult to precisify in a way that does not expose it to decisive counterexamples. The most common precisifications follow Kripke’s suggestion that cases of necessary a posteriori truth that can be known a priori to be necessary if true ‘may give a clue to a general characterization of a posteriori knowledge of necessary truths’. The (...) idea is that whether it is contingent whether p can be known a priori for at least some broad range of sentences ‘p’. Recently, Al Casullo and Jens Kipper have discussed restrictions of such principles to atomic sentences. We show that decisive counterexamples even to such dramatically restricted Kripke-style principles can be constructed using minimal logical resources. We then consider further restrictions, and show that the counterexamples to the original principles can be turned into counterexamples to the further restricted principles. We conclude that, if there are any true restrictions of Kripke-style principles, then they are so weak as to be of little epistemological interest. (shrink)

“Trends in Logic XVI: Consistency, Contradiction, Paraconsistency, and Reasoning - 40 years of CLE” is being organized by the Centre for Logic, Epistemology and the History of Science at the State University of Campinas (CLEUnicamp) from September 12th to 15th, 2016, with the auspices of the Brazilian Logic Society, Studia Logica and the Polish Academy of Sciences. The conference is intended to celebrate the 40th anniversary of CLE, and is centered around the areas of logic, epistemology, philosophy and history of (...) science, while bringing together scholars in the fields of philosophy, logic, mathematics, computer science and other disciplines who have contributed significantly to what Studia Logica is today and to what CLE has achieved in its four decades of existence. It intends to celebrate CLE’s strong influence in Brazil and Latin America and the tradition of investigating formal methods inspired by, and devoted to, philosophical views, as well as philosophical problems approached by means of formal methods. The title of the event commemorates one of the three main areas of CLE, what has been called the “Brazilian school of paraconsistency”, combining such a pluralist view about logic and reasoning. (shrink)

A new concept of Intuition, the Deep Unconscious is considered on the basis of the Paradigm of limiting generalizations. The book describes a high-level sketch. The results of the study can be used in education, economics, medicine, artificial intelligence, and the management of complex systems of various natures.

I argue that you can have a priori knowledge of propositions that neither are nor appear necessarily true. You can know a priori contingent propositions that you recognize as such. This overturns a standard view in contemporary epistemology and the traditional view of the a priori, which restrict a priori knowledge to necessary truths, or at least to truths that appear necessary.

ABSTRACTThis essay offers a reconfiguration of the possibility‐space of positions regarding the metaphysics and epistemology associated with historical knowledge. A tradition within analytic philosophy from Danto to Dummett attempts to answer questions about the reality of the past on the basis of two shared assumptions. The first takes individual statements as the relevant unit of semantic and philosophical analysis. The second presumes that variants of realism and antirealism about the past exhaust the metaphysical options . This essay argues that both (...) of these assumptions should be rejected. It develops as an alternative an irrealist account of history, a view based in part on work by Leon Goldstein and Ian Hacking. On an irrealist view, historical claims ought to be treated as subject to the same conditions and caveats that apply to any theory of empirical or scientific knowledge. Irrealism argues for pasts as made and not found. The argument emphasizes the priority of classification over perception in the order of understanding and so verification. Because nothing a priori anchors practices of classification, no sense can be attached to claims that some single structure must or does determine what events take place in human history. Irrealism denies to realism the very intelligibility of any imagined view from nowhere, that is, a determinately configured past subsisting sub specie aeternitatis. A plurality of pasts exists because constituting a past always depends to some degree on socially mediated negotiations of a fit between descriptions and experience. (shrink)

Attempts to ‘naturalize’ phenomenology challenge both traditional phenomenology and traditional approaches to cognitive science. They challenge Edmund Husserl’s rejection of naturalism and his attempt to establish phenomenology as a foundational transcendental discipline, and they challenge efforts to explain cognition through mainstream science. While appearing to be a retreat from the bold claims made for phenomenology, it is really its triumph. Naturalized phenomenology is spearheading a successful challenge to the heritage of Cartesian dualism. This converges with the reaction against Cartesian thought (...) within science itself. Descartes divided the universe between res cogitans, thinking substances, and res extensa, the mechanical world. The latter won with Newton and we have, in most of objective science since, literally lost our mind, hence our humanity. Despite Darwin, biologists remain children of Newton, and dream of a grand theory that is epistemologically complete and would allow lawful entailment of the evolution of the biosphere. This dream is no longer tenable. We now have to recognize that science and scientists are within and part of the world we are striving to comprehend, as proponents of endophysics have argued, and that physics, biology and mathematics have to be reconceived accordingly. Interpreting quantum mechanics from this perspective is shown to both illuminate conscious experience and reveal new paths for its further development. In biology we must now justify the use of the word “function”. As we shall see, we cannot prestate the ever new biological functions that arise and constitute the very phase space of evolution. Hence, we cannot mathematize the detailed becoming of the biosphere, nor write differential equations for functional variables we do not know ahead of time, nor integrate those equations, so no laws “entail” evolution. The dream of a grand theory fails. In place of entailing laws, a post-entailing law explanatory framework is proposed in which Actuals arise in evolution that constitute new boundary conditions that are enabling constraints that create new, typically unprestatable, Adjacent Possible opportunities for further evolution, in which new Actuals arise, in a persistent becoming. Evolution flows into a typically unprestatable succession of Adjacent Possibles. Given the concept of function, the concept of functional closure of an organism making a living in its world, becomes central. Implications for patterns in evolution include historical reconstruction, and statistical laws such as the distribution of extinction events, or species per genus, and the use of formal cause, not efficient cause, laws. (shrink)

My paper focuses on what and how Kant had accomplished with his intended “re- form of metaphysics” through “reason’s entering the secure path of science”. In this respect, I will argue that the influence of (pure) sciences on Kant’s programme was a major one, and this may be best highlighted if one assumes that he developed his mature theory only in the B edi- tion of his Critique (1787), where the influence of the model of pure a priori sciences (...) turn to be decisive. This influence, as we already know, is closely related to the “reform of metaphysics” by “reason’s entering the secure path of science”. My claim is upheld also by the historical ar- gument that only in the Prolegomena (1783) and in the B edition of the Critique Kant explicitly conceived the idea of “metaphysics as science”. Therefore, the necessary steps in dealing with “metaphysics as science” must consider the A Critique, the Prolegomena, and the B Critique in this precise order. Assuming this order, my approach will involve three parts: in the first I will investigate the idea of the reform of metaphysics from the A Critique, in the second I will take into account “reason’s entering the secure path of science” (in the Prolegomena and the B Cri- tique), i.e., philosophy as science (the discipline within the B Critique); finally, I will argue that understanding Kant’s “idea of philosophy as science” can best be achieved by focusing on the role and place that pure sciences have in the transcendental philosophy of the B Critique, where its structure and content are themed and projected within the methodological frame of the “ex- periment of pure reason”. (shrink)

The best arguments for possible worlds as states of affairs furnish us with equally good arguments for impossible worlds of the same sort. I argue for a theory of impossible worlds on which the impossible worlds correspond to maximal inconsistent classes of propositions. Three objections are rejected. In the final part of the paper, I present a menu of impossible worlds and explore some of their interesting formal properties.

The Protein Ontology (PRO; http://proconsortium.org) formally defines protein entities and explicitly represents their major forms and interrelations. Protein entities represented in PRO corresponding to single amino acid chains are categorized by level of specificity into family, gene, sequence and modification metaclasses, and there is a separate metaclass for protein complexes. All metaclasses also have organism-specific derivatives. PRO complements established sequence databases such as UniProtKB, and interoperates with other biomedical and biological ontologies such as the Gene Ontology (GO). PRO relates to (...) UniProtKB in that PRO’s organism-specific classes of proteins encoded by a specific gene correspond to entities documented in UniProtKB entries. PRO relates to the GO in that PRO’s representations of organism-specific protein complexes are subclasses of the organism-agnostic protein complex terms in the GO Cellular Component Ontology. The past few years have seen growth and changes to the PRO, as well as new points of access to the data and new applications of PRO in immunology and proteomics. Here we describe some of these developments. (shrink)

O sistema democrático é entendido por Norberto Bobbio em dois vieses: como um conjunto de regras de procedimento para a constituição do governo e para a formação das decisões políticas, isto é, a democracia formal; e a democracia substancial, a qual pressupõe um conjunto de fins ideais — igualdade jurídica, social e econômica — independentemente dos meios adotados para os alcançar. Essas noções distintas se complementam no conceito que o autor explicita, visto que o ideal igualitário que o inspira (...) (democracia como valor, substancial) se realiza somente na formação da vontade geral (democracia como método, formal). Esse sistema se estende por alguns objetivos, os quais buscam alcançar o resultado mais próximo de sua aspiração que, em um contexto pluralista, são: liceidade de dissenso; participação mais ampla das pessoas nos assuntos públicos por meio de associações, partidos, sindicatos, etc; e descentralização do poder em diversos polos, nos quais cada grupo encontrará sua identidade e representatividade. Contudo, em sua obra Liberalismo e Democracia (1994), Bobbio apresenta tais objetivos em uma perspectiva diferente, elencando as possíveis falhas em cada um desses. Um dos principais problemas afirmados por ele tange à incapacidade dos governos democráticos de dominarem convenientemente os conflitos em uma sociedade complexa e de atender às exigências dos cidadãos, resultando em um cenário de sobrecarga de demandas financeiras e sociais, falta de legitimação do poder central e conflitualidade entre este e a população. Posto isso, o presente trabalho se debruça sobre os principais pressupostos da democracia e seus possíveis efeitos negativos, isto é, os riscos de sua aplicação em demasia. Desta maneira, conduziremos nossa análise perpassando por esse problema para, ao final, elencarmos os fatores limitantes para uma melhor execução dos cânones democráticos. (shrink)

This article discusses the role of a priori and a posteriori knowledge and methods in metaphysics and metametaphysics. Issues discussed include the viability of the distinction, the continuity of a priori and a posteriori methods, connections to modal epistemology, and the role of the distinction for science and naturalistic metaphysics.