A growing body of research has examined how people judge the persistence of identity over time—that is, how they decide that a particular individual is the same entity from one time to the next. While a great deal of progress has been made in understanding the types of features that people typically consider when making such judgments, to date, existing work has not explored how these judgments may be shaped by normative considerations. The present studies demonstrate that normative beliefs do (...) appear to play an important role in people's beliefs about persistence. Specifically, people are more likely to judge that the identity of a given entity remains the same when its features improve than when its features deteriorate. Study 1 provides a basic demonstration of this effect. Study 2 shows that this effect is moderated by individual differences in normative beliefs. Study 3 examines the underlying mechanism, which is the belief that, in general, various entities are essentially good. Study 4 directly manipulates beliefs about essence to show that the positivity bias regarding essences is causally responsible for the effect. (shrink)

People sometimes explain behavior by appealing to an essentialist concept of the self, often referred to as the true self. Existing studies suggest that people tend to believe that the true self is morally virtuous; that is deep inside, every person is motivated to behave in morally good ways. Is this belief particular to individuals with optimistic beliefs or people from Western cultures, or does it reflect a widely held cognitive bias in how people understand the self? To address this (...) question, we tested the good true self theory against two potential boundary conditions that are known to elicit different beliefs about the self as a whole. Study 1 tested whether individual differences in misanthropy—the tendency to view humans negatively—predict beliefs about the good true self in an American sample. The results indicate a consistent belief in a good true self, even among individuals who have an explicitly pessimistic view of others. Study 2 compared true self-attributions across cultural groups, by comparing samples from an independent country and a diverse set of interdependent countries. Results indicated that the direction and magnitude of the effect are comparable across all groups we tested. The belief in a good true self appears robust across groups varying in cultural orientation or misanthropy, suggesting a consistent psychological tendency to view the true self as morally good. (shrink)

There has been much interest in conspiracy theories (CTs) amongst philosophers in recent years. The aim of this paper will be to apply some of the philosophical research to issues in political theory. I will first provide an overview of some of the philosophical discussions about CTs. While acknowledging that particularism is currently the dominant position in the literature, I will contend that the ‘undue scepticism problem’, a modified version of an argument put forward by Brian Keeley, is an important (...) general objection to many CTs. This in turn leads to some substantial conclusions for liberal political philosophy, as the undue scepticism problem sets up a strong argument against non-liberal alternatives to liberal thought. I shall argue that we are justified in having far more doubt about the reliability of official sources in non-liberal societies, and it is legitimate to be more sceptical about claims designed to bolster non-liberal politics. Moreover, because scepticism is often more warranted in non-liberal societies, this may provide the possibility for the state to be stable, even if it is highly tyrannical or ineffective. These considerations are not intended to be decisive, but raise unresolved questions about the viability of non-liberal politics. (shrink)

The paper states a hypothesis concerning Thomas Reid's moderation in his reply to skepticism. It is initially argued that commonsense beliefs, though due to reliable faculties, are doubtful, fallible, and correctable. They are not completely immune to skeptical attack. It is further argued that Reid intends to reply only to one form of skepticism, the partial one – the skepticism of authors who accept at least one mental faculty as a reliable source of knowledge. Reid does not intend to argue (...) with the skeptic who equally denies his assent to the reliability of all faculties – that is, the radical skeptic. This radical form of skepticism is harmless to practical life and philosophy and, for that reason, is not a threat. Finally, the hypothesis advanced is discussed considering other interpretations of Reid’s reply to skepticism. (shrink)

There has been a call for a potentially revolutionary change to our existing understanding of the psychological concept of personal identity. Apparently, people can psychologically represent people, including themselves, as multiple individuals at the same time. Here we ask whether the intransitive judgments found in these studies truly reflect the operation of an intransitive concept of personal identity. We manipulate several factors that arbitrate between transitivity and intransitivity and find most support for transitivity: in contrast to prior work, most participants (...) do not make intransitive judgments when there is any reason to favor one individual over another. People change which single individual they personally identify with, depending on which individual competes more strongly or weakly for identity, rather than identifying with both individuals. Even when two individuals are identical and therefore both entitled to be the same person, we find that people make more transitive judgments once they understand the practical commitments of their responses (Experiment 4), and report not being able to actually imagine two perspectives simultaneously when reasoning about the scenario (Experiment 5). In short, we suggest that while people may make intransitive judgments, these do not reflect that they psychologically represent identity in an intransitive manner. (shrink)

The paper aims to discuss the notion of ‘common sense’ in Thomas Reid’s philosophy. It presents two hypotheses. The first hypothesis states that the common sense that Reid uses in philosophical matters is nothing but the set of original principles of the mind that determine human beings in regard to their notions, beliefs and inclinations, as well as the judgments and beliefs that are due to these principles. The second hypothesis states that Reid understands a kind of ‘developed common sense’, (...) a common sense that develops throughout human life by the proper cultivation of the powers of the mind. (shrink)

The paper advances the hypothesis that René Descartes presents a skeptical system of philosophy in Thomas Reid’s reading. There is a sort of ‘involun-tary’ or ‘accidental’ skepticism that results from the adoption by Descartes of both a skeptical method and a skeptical principle. The first section shows to what extent the Cartesian method of doubt – which focuses on the reliability of the faculties of the mind - is a skeptical demand that cannot be satisfied. The second section shows how (...) the principle of the Cartesian system – which establishes that ideas are the immediate objects of the operations of the mind – is not only skeptic but leads exactly and naturally to the most radical form of skepticism, namely, solipsism. The third section discusses the Cartesian sources of the doubt on the existence of external world according to Reid. (shrink)

The paper discusses the notions of ‘consciousness’ and ‘reflection’ in John Locke’s Essay on the Human Understanding. It attempts to present two criteria by means of which it would be possible to distinguish between these mental activities. Firstly, consciousness is a passive, involuntary activity and does not depend on attention to be exerted, unlike reflection, which is, at least in one of its degrees – since Locke conceives the existence of two degrees of reflection –, an active, voluntary, and attentive (...) activity of mind. Second, consciousness may be distinguished from reflection in that it is a mental activity that produces judgments / beliefs, unlike reflection, whose activities only produce ideas. While consciousness allows human beings to know – to judge about and to believe the existence of their mental phenomena –, reflection is only a mental capacity to have ideas and, as such, it is not true or false. (shrink)

The paper discusses Thomas Reid's objection to David Hume's theory of personal identity. The hypothesis states that this criticism is not effective because it is based on a misunderstanding of Hume’s theory, namely, that Hume would have admitted a negative ontological thesis - the inexistence of a mind beyond perceptions - and a positive ontological thesis - a mind reduced to a bundle of perceptions. After explaining in what measures Reid’s objection is based upon this misunderstanding, the paper shows why (...) Hume does not accept those theses,. (shrink)

The paper presents and discusses how Thomas Reid's philosophy of common sense replies to the skepticism about the epistemic reliability of the faculties of mind. The hypothesis presented establishes that Reid’s reply has three arguments. First, Reid shows why it is impossible to prove the reliability of the faculties of mind and why philosophers may begin their investigations by accepting the truth of the beliefs due to these faculties. Secondly, Reid shows that it is inconsistent to choose one of these (...) faculties as the only source of true beliefs. This is arbitrary. Those authors, who choose, for example, consciousness as the only source of reliable knowledge, only reinforce the claim that all faculties of mind are equally reliable. Thirdly, if the faculties of the mind operate properly, that is, when our mind is not affected by any disorder or disease, there is no good reason to call them into question and to doubt the truth of their beliefs. (shrink)

Past research has identified a number of asymmetries based on moral judgments. Beliefs about what a person values, whether a person is happy, whether a person has shown weakness of will, and whether a person deserves praise or blame seem to depend critically on whether participants themselves find the agent's behavior to be morally good or bad. To date, however, the origins of these asymmetries remain unknown. The present studies examine whether beliefs about an agent's “true self” explain these observed (...) asymmetries based on moral judgment. Using the identical materials from previous studies in this area, a series of five experiments indicate that people show a general tendency to conclude that deep inside every individual there is a “true self” calling him or her to behave in ways that are morally virtuous. In turn, this belief causes people to hold different intuitions about what the agent values, whether the agent is happy, whether he or she has shown weakness of will, and whether he or she deserves praise or blame. These results not only help to answer important questions about how people attribute various mental states to others; they also contribute to important theoretical debates regarding how moral values may shape our beliefs about phenomena that, on the surface, appear to be decidedly non-moral in nature. (shrink)

The paper covers the discussion of three aspects of Thomas Reid’s political thought. Initially, it presents and discusses Reid’s understanding of Politics. Secondly, it is argued that, unlike the first principles of other branches of knowledge, such as Mathematics, Philosophy of Mind and Morals, the first principles of Politics are not the first principles of common sense. Politics is founded on a form of empirical knowledge that cannot be identified with common sense, with the judgments and beliefs due to the (...) original constitution of mind that are shared by most humans. Finally, it is argued, from a parallel with the philosophy of nature, that common sense has only a methodological role in Politics. (shrink)

This paper aims to discuss the philosophical roles of common sense in Thomas Reid’s thought. I argue that there is not only one way of appealing to common sense in attempt of discovering truth and allowing knowledge. According to my understanding, Reid makes at least three distinct uses of common sense: (1) the foundational use, in which common sense is taken as the foundation upon which knowledge must be built; (2) the methodological use, in which common sense arises as a (...) source of methodo-logical presuppositions of philosophical investigations; (3) the instrumental use, in which common sense, in the light of the emotion of ridicule, is used as an instrument to refute philosophical principles and conclusions. (shrink)

ABSTRACT Drawing inspiration from Fred Dretske, L. S. Carrier, John A. Barker, and Robert Nozick, we develop a tracking analysis of knowing according to which a true belief constitutes knowledge if and only if it is based on reasons that are sensitive to the fact that makes it true, that is, reasons that wouldn’t obtain if the belief weren’t true. We show that our sensitivity analysis handles numerous Gettier-type cases and lottery problems, blocks pathways leading to skepticism, and validates (...) the epistemic closure thesis that correct inferences from known premises yield knowledge of the conclusions. We discuss the plausible views of Ted Warfield and Branden Fitelson regarding cases of knowledge acquired via inference from false premises, and we show how our sensitivity analysis can account for such cases. We present arguments designed to discredit putative counterexamples to sensitivity analyses recently proffered by Tristan Haze, John Williams and Neil Sinhababu, which involve true statements made by untrustworthy informants and strange clocks that sometimes display the correct time while running backwards. Finally, we show that in virtue of employing the paradox-free subjunctive conditionals codified by Relevance Logic theorists instead of the paradox-laden subjunctive conditionals codified by Robert Stalnaker and David Lewis. (shrink)

Fred shows how problems with Slater's restriction of the classical propositional logic can be solved.

The paper advances the hypothesis that George Berkeley's philosophy does not overcome solipsism. In order to do this, it presents four difficulties on his arguments for other existences: (I) the argument about the existence of an external cause for sensitive ideas faces the difficulty of not eliminating the possibility that the mind itself is the cause of these ideas; (II) the argument present in the Dialogues to prove the existence of God is circular: it presupposes the existence of objects distinct (...) from the mind, however, the argument for the existence of these objects presupposes the existence of God; (III) the argument in favor of the existence of those objects, besides being related to the mentioned circularity, is developed without Berkeley presenting a clear notion of what these objects are; (IV) the argument for the existence of other minds, in what appears to be their most plausible interpretation – which states that it is possible to infer the existence of other minds from the observation of irregular, inconstant, and vicious actions in subjects –, faces the difficulty that, in a scenario where such actions do not exist, Berkeley loses the evidence for the existence of other minds. (shrink)

The paper advances the hypothesis that, in Thomas Reid's reading, David Hume's skepticism of the Treatise on Human Nature is not solely due to his acceptance of the ‘ideal hypothesis’ – the principle according to which ideas are the immediate objects of the mental operations –, but it has another source, namely, that doubt on the reliability of the faculties of the senses, memory, and reason. Moreover, the paper argues that the suggested distinction between two roots for Hume’s skepticism allows (...) a more exact view on Reid’s reading of Hume and solve some misinterpretations. (shrink)

I intend to discuss Hume’s theory of personal identity in Books I and II of the Treatise of Human Nature. First, I intend to argue that Hume’s distinction between a ‘personal identity with regard to thought and imagination’ and a ‘personal identity with regard to passions and self-interest’ is only methodological, not radical. That is, the philosopher does not sug-gest the existence of two distinct ideas of personal identity in mind. Secondly, I try to show the contribution of the passions (...) of pride and humility to the production of a belief in personal identity. Pride and humility contribute to the liveliness of this belief by producing the person’s interest in his sensations and actions of the past and the future. Thirdly, I want to show how passions and self-interest make it possible to explain the corporeal aspect of the belief in personal identity. I propose to discuss how the body and its qualities can be understood as constituent elements of the notion of personal identity. (shrink)

The paper covers the discussion of three aspects of Thomas Reid’s political thought. Initially, it presents and discusses Reid’s understanding of Politics. Secondly, it is argued that, unlike the first principles of other branches of knowledge, such as Mathematics, Philosophy of Mind and Morals, the first principles of Politics are not the first principles of common sense. Politics is founded on a form of empirical knowledge that cannot be identified with common sense, with the judgments and beliefs due to the (...) original constitution of mind that are shared by most humans. Finally, it is argued, from a parallel with the philosophy of nature, that common sense has only a methodological role in Politics. (shrink)

Philosophical interest in situated cognition has been focused most intensely on the claim that human cognitive processes extend from the brain into the tools humans use. As we see it, this radical hypothesis is sustained by two kinds of mistakes, the confusion of coupling relations with constitutive relations and an inattention to the mark of the cognitive. Here we wish to draw attention to these mistakes and show just how pervasive they are. That is, for all that the radical philosophers (...) have said, the mind is still in the head. (shrink)

In this paper, I present my solutions to two closely related questions about pleasure. One of these questions is fairly well known. The second question seems to me to be at least as interesting as the first, but it apparently hasn't interested quite so many philosophers.

Embodied cognition is sweeping the planet. On a non-embodied approach, the sensory system informs the cognitive system and the motor system does the cognitive system’s bidding. There are causal relations between the systems but the sensory and motor systems are not constitutive of cognition. For embodied views, the relation to the sensori-motor system to cognition is constitutive, not just causal. This paper examines some recent empirical evidence used to support the view that cognition is embodied and raises questions about some (...) of the claims being made by supporters. (shrink)

In this article, we will describe higher order thought theories of consciousness. Then we will describe some examples from synesthesia. Finally, we will explain why the latter may be relevant to the former.

In a recent very interesting and important challenge to tracking theories of knowledge, Williams & Sinhababu claim to have devised a counter-example to tracking theories of knowledge of a sort that escapes the defense of those theories by Adams & Clarke. In this paper we will explain why this is not true. Tracking theories are not undermined by the example of the backward clock, as interesting as the case is.

In a recent paper, Tristan Haze offers two examples that, he claims, are counterexamples to Nozick's Theory of Knowledge. Haze claims his examples work against Nozick's theory understood as relativized to belief forming methods M. We believe that they fail to be counterexamples to Nozick's theory. Since he aims the examples at tracking theories generally, we will also explain why they are not counterexamples to Dretske's Conclusive Reasons Theory of Knowledge.

A semantics is presented for Storrs McCall's separate axiomatizations of Aristotle's accepted and rejected polysyllogisms. The polysyllogisms under discussion are made up of either assertoric or apodeictic propositions. The semantics is given by associating a property with a pair of sets: one set consists of things having the property essentially and the other of things having it accidentally. A completeness proof and a semantic decision procedure are given.

This book consists of an edited collection of original essays of the highest academic quality by seasoned experts in their fields of cognitive science. The essays are interdisciplinary, drawing from many of the fields known collectively as “the cognitive sciences.” Topics discussed represent a significant cross-section of the most current and interesting issues in cognitive science. Specific topics include matters regarding machine learning and cognitive architecture, the nature of cognitive content, the relationship of information to cognition, the role of language (...) and communication in cognition, the nature of embodied cognition, selective topics in visual cognition, brain connectivity, computation and simulation, social and technological issues within the cognitive sciences, and significant issues in the history of neuroscience. This book will be of interest to both professional researchers and newer students and graduate students in the fields of cognitive science—including computer science, linguistics, philosophy, psychology and neuroscience. The essays are in English and are designed to be as free as possible of technical jargon and therefore accessible to young scholars and to scholars who are new to the cognitive neurosciences. In addition to several entries by single authors, the book contains several interesting roundtables where researchers contribute answers to a central question presented to those in the focus group on one of the core areas listed above. This exciting approach provides a variety of perspectives from across disciplines on topics of current concern in the cognitive sciences. (shrink)

Consequence rleations over sets of "judgments" are defined by using "overdetermined" as well as "underdetermined" valuations. Some of these relations are shown to be categorical. And generalized soundness and completeness results are given for both multiple and single conclusion consequence relations.

Fred's semantics for McCall's syntactic presentation of Aristotle's assertoric and apodeictic syllogistic is altered to free it from Thom's objections that it is unAristotelian. The altered semantics rejects Baroco-XLL and Bocardo-LXL, which Thom says Aristotle should have accepted. Aristotle's proofs that use ecthesis are formalized by using singular sentences. With one exception the (acceptance) axioms for McCall's system L-X-M are derivable. Formal proofs are shown to be sound.

In this article, I shall contend that Rawlsian public reason liberalism (PRL) is in tension with non-anthropocentric environmentalism. I will argue that many reasonable citizens reject non-anthropocentric values, and PRL cannot allow them to be used as the justification for ecological policies. I will analyse attempts to argue that PRL can incorporate non-anthropocentric ideas. I shall consider the view, deployed by theorists such as Derek Bell and Mark A. Michael, that PRL can make a distinction between constitutional essentials and non-essentials, (...) and therefore ecocentric values can be employed when only non-essentials are at stake. I will also consider Simon Hailwood’s argument that PRL can incorporate concern for nature based on its ‘otherness’. I shall conclude that both positions fail to rebut the claim that PRL excludes non-anthropocentric viewpoints. I will consider the question of whether PRL’s exclusion of non-anthropocentric ethics is a problem, and I shall show that appealing to purely anthropocentric arguments leads to a variety of unpalatable conclusions. I will suggest that comprehensive liberalism can include non-anthropocentric concerns, and hence is superior from an environmental perspective. (shrink)

Tristan Haze claims we have made two mistakes in replying to his two attempted counter-examples to Tracking Theories of Knowledge. Here we respond to his two recent claims that we have made mistakes in our reply. We deny both of his claims.

This is the report on the XVI BRAZILIAN LOGIC CONFERENCE (EBL 2011) held in Petrópolis, Rio de Janeiro, Brazil between May 9–13, 2011 published in The Bulletin of Symbolic Logic Volume 18, Number 1, March 2012. -/- The 16th Brazilian Logic Conference (EBL 2011) was held in Petro ́polis, from May 9th to 13th, 2011, at the Laboratório Nacional de Computação o Científica (LNCC). It was the sixteenth in a series of conferences that started in 1977 with the aim of (...) congregating logicians from Brazil and abroad, furthering interest in logic and its applications, stimulating cooperation, and contributing to the development of this branch of science. EBL 2011 included more than one-hundred and fifty participants, all of them belonging to prominent research institutes from Brazil and abroad, especially Latin America. The conference was sponsored by the Academia Brasileira de Ciências (ABC), the As- sociation for Symbolic Logic (ASL), Universidade Estadual de Campinas (UNICAMP), Centre for Logic, Epistemology and the History of Sciences (CLE), Laboratório Nacional de Computação o Científica (LNCC), Pontif ́ıcia Universidade Cato ́lica do Rio de Janeiro (PUC- Rio), Sociedade Brasileira de Lógica (SBL), and Universidade Federal Fluminense (UFF). Funding was provided by Conselho Nacional de Desenvolvimento Cient ́ıfico e Tecnolo ́ gico (CNPq), Fundac ̧a ̃o de Amparo `a Pesquisa do Estado de São Paulo (FAPESP), Fundação Euclides da Cunha (FEC), and Universidade Federal Fluminense (UFF). The members of the Scientific Committee were: Mário Folhadela Benevides (COPPE- UFRJ), Fa ́bio Bertato (CLE-IFCH-UNICAMP), Jean-Yves Béziau (UFRJ), Ricardo Bianconi (USP), Juliana Bueno-Soler (UFABC), Xavier Caicedo (Universidad de Los An- des), Walter Carnielli (CLE-IFCH-UNICAMP), Oswaldo Chateaubriand Filho (PUC-Rio), Marcelo Esteban Coniglio (CLE-IFCH-UNICAMP), Newton da Costa (UFSC, President), Antonio Carlos da Rocha Costa (UFRG), Alexandre Costa-Leite (UnB), I ́tala M. Loffredo D’Ottaviano (CLE-IFCH-UNICAMP), Marcelo Finger (USP), Edward Hermann Haeusler (PUC-Rio), Décio Krause (UFSC), João Marcos (UFRN), Ana Teresa de Castro Martins (UFC), Maria da Paz Nunes de Medeiros (UFRN), Francisco Miraglia (USP), Luiz Car- los Pereira (PUC-Rio and UFRJ), Elaine Pimentel (UFMG), and Samuel Gomes da Silva (UFBA). The members of the Organizing Committee were: Anderson de Araujo (UNICAMP), Walter Carnielli (CLE-IFCH-UNICAMP), Oswaldo Chateaubriand Filho (PUC-Rio, Co- chair), Marcelo Correa (UFF), Renata de Freitas (UFF), Edward Hermann Haeusler (PUC- RJ), Hugo Nobrega (COPPE-UFRJ), Luiz Carlos Pereira (PUC-Rio e IFCS/UFRJ), Leandro Suguitani (UNICAMP), Rafael Testa (UNICAMP), Leonardo Bruno Vana (UFF), and Petrucio Viana (UFF, Co-chair). (shrink)

In this paper, we intend to offer an interpretation about the explanation of the (relative) idea of pure substance in general on John Locke’s philosophy, from Thomas Reid’s notion of ‘natural suggestion’. To achieve this aim, after contextualizing Locke’s notion of pure substance in general and distinguishing it from the idea of particular substance (section 1), we explicit that Locke’s words about the source of the idea of the former in the mind (either empirical or rational) are ambiguous and inconclusive (...) (section 2). Then, we argue that the parallels between this idea and that of ‘relation’, as well as of ‘power’ do not assist in that answer, due to some problems we identify on them (section 3). Finally, we argue that the Reidian explanation for the source of the idea of ‘mind’, from the notion of ‘natural suggestion’ allows us to i) avoid those problems and ii) inasmuch as, according to this interpretation, the idea of pure substance in general would have an empirical source, Lockian empiricism would remain intact (section 4). (shrink)

In a theoretical reflection, the aim of this paper is primarily to discuss alterity in journalism. We believe that journalism plays a fundamental role in the construction of knowledge on similarities and differences between human beings, stressing social diversity as one of its purposes. We associate the concept of otherness, understood as a singular mode of existence of the “other”, with the purpose of journalism and with actions of empathy, sympathy and compassion. Based on a phenomenological perspective, we discuss the (...) importance of the meeting between the "self" and the "other", as well as the ability of journalists to perceive and narrate on the aspects that shape the identities of human beings. Moreover, we discuss otherness in journalistic narratives, approaching the relation between the lifeworld and the world of text... (shrink)

In recent decades, postmodernists and sociologists of science have argued that science is just one of many human activities with social and political aims -- comparable to, say, religion or art. They have questioned the objectivity of science, and whether it has any unique ability to find the truth. Not surprisingly, such claims have evoked a negative response from proponents of the traditional view of science; the debate between the two sides has been called the science wars. In the debate, (...) scientists have made few attempts to meet the postmodern critique on its own grounds, through serious reflection on the everyday practice of science. Yet that is the only way to understand the nature of science and the features that distinguish science from other activities. (shrink)

The paper shows that for any invalid polysyllogism there is a procedure for constructing a model with a domain with exactly three members and an interpretation that assigns non-empty, non-universal subsets of the domain to terms such that the model invalidates the polysyllogism.

John Rawls’ A Theory of Justice allows social facts behind his veil-of-ignorance, thereby lessening the veil’s capacity for neutrality and defense of liberal principles. Rawls assumes social facts are discoverable without presupposed political values. But even if value-neutral social science is possible, real-world opinions, defined by political/social world-views, open the veil to bias since social facts from a non-liberal view may bolster non-liberal programmes. Alternatively, depriving those behind the veil of knowledge of social facts strips them of vital information necessary (...) for creating a just, well-organized society. These reservations do not constitute decisive criticisms but point out unresolved tension in Rawls’ original position, and the veil’s status of neutrality is undermined. (shrink)

McCall's system for contingent syllogisms is modified. A semantics for the resulting system is provided.

One semantic and two syntactic decision procedures are given for determining the validity of Aristotelian assertoric and apodeictic syllogisms. Results are obtained by using the Aristotelian deductions that necessarily have an even number of premises.

Aristotle's syllogistic is extended to include denumerably many quantifiers such as 'more than 2/3' and 'exactly 2/3.' Syntactic and semantic decision procedures determine the validity, or invalidity, of syllogisms with any finite number of premises. One of the syntactic procedures uses a natural deduction account of deducibility, which is sound and complete. The semantics for the system is non-classical since sentences may be assigned a value other than true or false. Results about symmetric systems are given. And reasons are given (...) for claiming that syllogistic validity is relevant validity. (shrink)

A theorem due to Shoesmith and Smiley that axiomatizes two-valued multiple-conclusion logics is extended to partial logics.