The G7 should address new, unprecedented and highly disruptive issues that characterize our complex world, rather than well-understood international problems that fit into existing categories. We argue that the G7 can do this by playing to its strengths – informality and like-mindedness in particular – in addressing emerging and transversal issues such as Artificial Intelligence (AI) and cryptocurrencies.

A concise review of skeptician in the Carterian model with a discussion of the reframing of the Cartesian paradigm by John McDowell in the 20th century.

FISIOLOGIA DA REPRODUÇÃO BOVINA: 2 - ESTRO E SERVIÇO -/- -/- INTRODUÇÃO -/- -/- A identificação de vacas em cio (estro ou cio) é, sem dúvida, a prática mais importante no manejo da reprodução do rebanho leiteiro. Apesar dos avanços no conhecimento da fisiologia da reprodução a nível celular e molecular, a identificação de vacas em estro continua sendo o problema reprodutivo mais importante e o que mais causa prejuízos econômicos. Na indústria de laticínios no Brasil, seu impacto não foi (...) estimado, porém, a estimativa feita por países como os Estados Unidos onde se perdem 300 milhões de dólares por ano pode dar uma ideia, atribuída apenas à baixa eficiência na detecção de estros. Por que é cada vez mais difícil detectar vacas em estro? A resposta está relacionada aos aspectos intrínsecos da vaca leiteira moderna, associadas as práticas de manejo dos rebanhos atuais, caracterizados por possuírem grande número de vacas nos plantéis. -/- -/- 2.1 Como saber que uma vaca está em cio/estro? -/- -/- O comportamento estral é causado por um aumento no estradiol sérico produzido pelo folículo ovulatório. O aumento do estradiol provoca mudanças de comportamento e modificações na genitália externa e interna. A vaca mostra-se inquieta, sua vocalização aumenta, ela anda mais, tenta montar em outras vacas e aceita montar no touro ou em outra vaca, bem como urinam com mais frequência (micção frequente). A vulva fica levemente inflamada, à palpação retal o útero pode ser visto com tônus ou turgor (duro e contraído) e ao massagear o colo do útero observa-se que sai abundante muco cristalino da vulva. O mecanismo clássico proposto na regulação do estro é baseado principalmente no papel do estradiol; no entanto, estudos recentes indicam que o GnRH pode participar da regulação do estro ao nível do hipotálamo. O estro possui duração entre 8 e 18 horas e a intensidade do mesmo é afetada por fatores ambientais e intrínsecos a vaca moderna (figuras de 1 a 6). -/- -/- -/- Figura 2: A observação do grupo sexualmente ativo facilita a identificação das vacas em estro. -/- Figura 1: As vacas em estro formam grupos ativos (grupo sexualmente ativo) separados do resto das vacas. A conformação desses grupos facilita a observação do estro. -/- -/- A formação de grupos de vacas é um fator ideal para a detecção de vacas em cio, elas ficam juntas e começam a montar uma nas outras, a cheirar a urina de ambas etc. comportamentos que podem ser visualizados de longe pelo tratador e diagnosticado o cio o mais breve possível para o manejo reprodutivo adotado pela propriedade seja para monta natural ou controlada e/ou inseminações artificiais (IA) e artificiais em tempo fixo (IATF). -/- -/- Figura 3: O único comportamento positivo do estro é a aceitação da monta de outra vaca. É frequente que a vaca que realiza a monta também esteja em estro, o que só será afirmado até que ela aceite a monta de outra vaca. -/- -/- Figura 4: Cada monta dura de 5 a 7 segundos -/- Figura 5: A vaca leiteira aceita de 5 a 30 montas distribuídas entre 8 e 18 horas. -/- Figura 6: Além das mudanças comportamentais, os estrogênios causam alterações na genitália interna. Uma delas é a produção de muco cervical, que juntamente com o turgor uterino, constituem os sinais genitais do estro. -/- -/- O cio pode ser dividido em três fases, a inicial, a fase de cio verdadeiro e a fase final. O cio verdadeiro quando é observado, é caracterizado pelo momento em que a vaca aceita claramente a monta. Por sua vez, os sinais de início e final de cio se misturam, apresentam nervosismo e inquietação, cheiram e lambem a vagina e a urina de outras vacas, apoiam a cabeça na garupa de outras fêmeas etc. (figura 7). Uma das sugestões adotadas nas propriedades para facilitar a identificação do cio em um rebanho é realizada pelos funcionários com a utilização de um bastão ou fita de coloração da garupa das vacas. -/- Figura 7: Principais sinais que demonstram que a vaca está entrando em cio. As imagens mostram o início do cio, cio verdadeiro e final do cio. -/- CONTINUA. BAIXE O PDF!!! -/- RESUMO -/- -/- < >Nos Estados Unidos, 300 milhões de dólares são perdidos devido à baixa eficiência na detecção do estro. A eficiência na detecção do estro no Brasil é de 40 a 50%. A meta de eficiência para detecção de estro é > 60%. Com a observação das vacas em dois períodos diários de três horas cada (manhã e tarde), consegue-se uma eficiência na detecção de estro de 80%. Menos de 20 por cento das vacas devem ter um intervalo de serviço duplo e nenhum de mais de 48 dias. A taxa de prenhez é obtida multiplicando-se a eficiência na detecção do estro pela porcentagem de concepção e dividindo por 100 (50 * 30/100 = 15%). A taxa de prenhez em rebanhos norte-americanos é de 15%. Nos Estados Unidos, para cada ponto percentual que diminui a taxa de prenhez, não há mais de US$ 12 a US$ 15 por vaca por ano. No Brasil, para cada ponto percentual que aumenta a taxa de prenhez, na faixa de 15 a 20%, é gerada uma renda anual adicional de $ 190 reais por vaca. Não mais que 25% das vacas devem estar vazias no 150º dia pós-parto. Não mais do que 8% devem as vacas ser cobertas no 250º dia pós-parto. 8% das vacas devem engravidar a cada mês. O estro ocorre 48 a 120 horas após o tratamento com PGF2α. 80% é a precisão na palpação do corpo lúteo. Quatorze dias devem decorrer entre duas injeções de PGF2α. Menos de 25% das vacas incluídas no programa de pré-sincronização devem chegar à IATF. No momento da ovulação, a primeira injeção de GnRH deve ser aplicada entre o quinto e o nono dia do ciclo estral. A inseminação cronometrada é realizada 14-16 horas após a segunda injeção de GnRH. O tratamento com dispositivos intravaginais liberadores de progesterona dura 12 dias. Se a duração do tratamento é menor deve-se injetar PGF2α ao retirá-lo. -/- -/- REFERÊNCIAS BIBLIOGRÁFICAS -/- -/- ATUESTA, Jorge; DIAZA, Angela Gonella. Control hormonal del ciclo estral en bovinos y ovinos. Spei Domus, v. 7, n. 14, 2011. -/- COLAZO, Marcos Germán; MAPLETOFT, Reben. Fisiología del ciclo estral bovino. Ciencia Veterinaria, v. 16, n. 2, p. 31-46, 2017. -/- Fisiologia Clínica do Ciclo Estral de Vacas Leiteiras: Desenvolvimento Folicular, Corpo Lúteo e Etapas do Estro. Belo Jardim: IFPE, 2020. -/- Fisiologia da Reprodução Animal: Ovulação, Controle e Sincronização do Cio. Belo Jardim: IFPE, 2020. -/- DOBSON, H. et al. The high‐producing dairy cow and its reproductive performance. Reproduction in domestic animals, v. 42, p. 17-23, 2007. -/- DO VALLE, Ezequlel Rodrigues. O ciclo estral de bovinos e métodos de controle. EMBRAPA-CNPGC., 1991. -/- FURTADO, Diego Augusto et al. Inseminação artificial em tempo fixo em bovinos de corte. Revista científica eletrônica de medicina veterinária, v. 16, p. 1-25, 2011. -/- GALON, Nadav. The use of pedometry for estrus detection in dairy cows in Israel. Journal of Reproduction and Development, v. 56, n. S, p. S48-S52, 2010. -/- HOPPER, Richard M. (Ed.). Bovine reproduction. John Wiley & Sons, 2014. -/- LOPEZ, H.; SATTER, L. D.; WILTBANK, M. C. Relationship between level of milk production and estrous behavior of lactating dairy cows. Animal reproduction science, v. 81, n. 3-4, p. 209-223, 2004. -/- MACMILLAN, Keith L. Recent advances in the synchronization of estrus and ovulation in dairy cows. Journal of Reproduction and development, v. 56, n. S, p. S42-S47, 2010. -/- MUNIS DE OLIVEIRA, G. Fisiologia da Reprodução Bovina e Métodos de Controle do Ciclo Estral. Trabalho de conclusão do curso de especialização em Reprodução e Produção de Bovinos–UCB. Rio de Janeiro, Brasil, 2006. -/- O'CONNOR, MICHAEL L. Estrus detection. In: Current therapy in large animal theriogenology. WB Saunders, 2007. p. 270-278. -/- RIPPE, Christian A. El ciclo estral. In: Dairy Cattle Reproduction Conference. 2009. p. 111-116. -/- ROELOFS, Judith et al. When is a cow in estrus? Clinical and practical aspects. Theriogenology, v. 74, n. 3, p. 327-344, 2010. -/- VIVEIROS, Ana Tereza de Mendonça. Fisiologia da reprodução de bovinos. Lavras: UFLA, p. 62, 1997. (shrink)

In previous articles, it has been shown that the deductive system developed by Aristotle in his "second logic" is a natural deduction system and not an axiomatic system as previously had been thought. It was also stated that Aristotle's logic is self-sufficient in two senses: First, that it presupposed no other logical concepts, not even those of propositional logic; second, that it is (strongly) complete in the sense that every valid argument expressible in the language of the system is deducible (...) by means of a formal deduction in the system. Review of the system makes the first point obvious. The purpose of the present article is to prove the second. Strong completeness is demonstrated for the Aristotelian system. (shrink)

Argumentations are at the heart of the deductive and the hypothetico-deductive methods, which are involved in attempts to reduce currently open problems to problems already solved. These two methods span the entire spectrum of problem-oriented reasoning from the simplest and most practical to the most complex and most theoretical, thereby uniting all objective thought whether ancient or contemporary, whether humanistic or scientific, whether normative or descriptive, whether concrete or abstract. Analysis, synthesis, evaluation, and function of argumentations are described. Perennial philosophic (...) problems, epistemic and ontic, related to argumentations are put in perspective. So much of what has been regarded as logic is seen to be involved in the study of argumentations that logic may be usefully defined as the systematic study of argumentations, which is virtually identical to the quest of objective understanding of objectivity. (shrink)

For each positive n , two alternative axiomatizations of the theory of strings over n alphabetic characters are presented. One class of axiomatizations derives from Tarski's system of the Wahrheitsbegriff and uses the n characters and concatenation as primitives. The other class involves using n character-prefixing operators as primitives and derives from Hermes' Semiotik. All underlying logics are second order. It is shown that, for each n, the two theories are definitionally equivalent [or synonymous in the sense of deBouvere]. It (...) is further shown that each member of one class is synonymous with each member of the other class; thus that all of the theories are definitionally equivalent with each other and with Peano arithmetic. Categoricity of Peano arithmetic then implies categoricity of each of the above theories. (shrink)

Information-theoretic approaches to formal logic analyse the "common intuitive" concept of propositional implication (or argumental validity) in terms of information content of propositions and sets of propositions: one given proposition implies a second if the former contains all of the information contained by the latter; an argument is valid if the conclusion contains no information beyond that of the premise-set. This paper locates information-theoretic approaches historically, philosophically and pragmatically. Advantages and disadvantages are identified by examining such approaches in themselves and (...) by contrasting them with standard transformation-theoretic approaches. Transformation-theoretic approaches analyse validity (and thus implication) in terms of transformations that map one argument onto another: a given argument is valid if no transformation carries it onto an argument with all true premises and false conclusion. Model-theoretic, set-theoretic, and substitution-theoretic approaches, which dominate current literature, can be construed as transformation-theoretic, as can the so-called possible-worlds approaches. Ontic and epistemic presuppositions of both types of approaches are considered. Attention is given to the question of whether our historically cumulative experience applying logic is better explained from a purely information-theoretic perspective or from a purely transformation-theoretic perspective or whether apparent conflicts between the two types of approaches need to be reconciled in order to forge a new type of approach that recognizes their basic complementarity. (shrink)

We address the question of whether it is possible to operate a time machine by manipulating matter and energy so as to manufacture closed timelike curves. This question has received a great deal of attention in the physics literature, with attempts to prove no- go theorems based on classical general relativity and various hybrid theories serving as steps along the way towards quantum gravity. Despite the effort put into these no-go theorems, there is no widely accepted definition of a time (...) machine. We explain the conundrum that must be faced in providing a satisfactory definition and propose a resolution. Roughly, we require that all extensions of the time machine region contain closed timelike curves; the actions of the time machine operator are then sufficiently "potent" to guarantee that closed timelike curves appear. We then review no-go theorems based on classical general relativity, semi-classical quantum gravity, quantum field theory on curved spacetime, and Euclidean quantum gravity. Our verdict on the question of our title is that no result of sufficient generality to underwrite a confident "yes" has been proven. Our review of the no-go results does, however, highlight several foundational problems at the intersection of general relativity and quantum physics that lend substance to the search for an answer. (shrink)

Rigorous proof is supposed to guarantee that the premises invoked imply the conclusion reached, and the problem of rigor may be described as that of bringing together the perspectives of formal logic and mathematical practice on how this is to be achieved. This problem has recently raised a lot of discussion among philosophers of mathematics. We survey some possible solutions and argue that failure to understand its terms properly has led to misunderstandings in the literature.

After a short preface, the first of the three sections of this paper is devoted to historical and philosophic aspects of categoricity. The second section is a self-contained exposition, including detailed definitions, of a proof that every mathematical system whose domain is the closure of its set of distinguished individuals under its distinguished functions is categorically characterized by its induction principle together with its true atoms (atomic sentences and negations of atomic sentences). The third section deals with applications especially those (...) involving the distinction between characterizing a system and axiomatizing the truths of a system. (shrink)

Demonstrative logic, the study of demonstration as opposed to persuasion, is the subject of Aristotle's two-volume Analytics. Many examples are geometrical. Demonstration produces knowledge (of the truth of propositions). Persuasion merely produces opinion. Aristotle presented a general truth-and-consequence conception of demonstration meant to apply to all demonstrations. According to him, a demonstration, which normally proves a conclusion not previously known to be true, is an extended argumentation beginning with premises known to be truths and containing a chain of reasoning showing (...) by deductively evident steps that its conclusion is a consequence of its premises. In particular, a demonstration is a deduction whose premises are known to be true. Aristotle's general theory of demonstration required a prior general theory of deduction presented in the Prior Analytics. His general immediate-deduction-chaining conception of deduction was meant to apply to all deductions. According to him, any deduction that is not immediately evident is an extended argumentation that involves a chaining of intermediate immediately evident steps that shows its final conclusion to follow logically from its premises. To illustrate his general theory of deduction, he presented an ingeniously simple and mathematically precise special case traditionally known as the categorical syllogistic. (shrink)

This book treats ancient logic: the logic that originated in Greece by Aristotle and the Stoics, mainly in the hundred year period beginning about 350 BCE. Ancient logic was never completely ignored by modern logic from its Boolean origin in the middle 1800s: it was prominent in Boole’s writings and it was mentioned by Frege and by Hilbert. Nevertheless, the first century of mathematical logic did not take it seriously enough to study the ancient logic texts. A renaissance in ancient (...) logic studies occurred in the early 1950s with the publication of the landmark Aristotle’s Syllogistic by Jan Łukasiewicz, Oxford UP 1951, 2nd ed. 1957. Despite its title, it treats the logic of the Stoics as well as that of Aristotle. Łukasiewicz was a distinguished mathematical logician. He had created many-valued logic and the parenthesis-free prefix notation known as Polish notation. He co-authored with Alfred Tarski’s an important paper on metatheory of propositional logic and he was one of Tarski’s the three main teachers at the University of Warsaw. Łukasiewicz’s stature was just short of that of the giants: Aristotle, Boole, Frege, Tarski and Gödel. No mathematical logician of his caliber had ever before quoted the actual teachings of ancient logicians. -/- Not only did Łukasiewicz inject fresh hypotheses, new concepts, and imaginative modern perspectives into the field, his enormous prestige and that of the Warsaw School of Logic reflected on the whole field of ancient logic studies. Suddenly, this previously somewhat dormant and obscure field became active and gained in respectability and importance in the eyes of logicians, mathematicians, linguists, analytic philosophers, and historians. Next to Aristotle himself and perhaps the Stoic logician Chrysippus, Łukasiewicz is the most prominent figure in ancient logic studies. A huge literature traces its origins to Łukasiewicz. -/- This Ancient Logic and Its Modern Interpretations, is based on the 1973 Buffalo Symposium on Modernist Interpretations of Ancient Logic, the first conference devoted entirely to critical assessment of the state of ancient logic studies. (shrink)

In the present article we attempt to show that Aristotle's syllogistic is an underlying logiC which includes a natural deductive system and that it isn't an axiomatic theory as had previously been thought. We construct a mathematical model which reflects certain structural aspects of Aristotle's logic. We examine the relation of the model to the system of logic envisaged in scattered parts of Prior and Posterior Analytics. Our interpretation restores Aristotle's reputation as a logician of consummate imagination and skill. Several (...) attributions of shortcomings and logical errors to Aristotle are shown to be without merit. Aristotle's logic is found to be self-sufficient in several senses: his theory of deduction is logically sound in every detail. (His indirect deductions have been criticized, but incorrectly on our account.) Aristotle's logic presupposes no other logical concepts, not even those of propositional logic. The Aristotelian system is seen to be complete in the sense that every valid argument expressible in his system admits of a deduction within his deductive system: every semantically valid argument is deducible. (shrink)

Since the time of Aristotle's students, interpreters have considered Prior Analytics to be a treatise about deductive reasoning, more generally, about methods of determining the validity and invalidity of premise-conclusion arguments. People studied Prior Analytics in order to learn more about deductive reasoning and to improve their own reasoning skills. These interpreters understood Aristotle to be focusing on two epistemic processes: first, the process of establishing knowledge that a conclusion follows necessarily from a set of premises (that is, on the (...) epistemic process of extracting information implicit in explicitly given information) and, second, the process of establishing knowledge that a conclusion does not follow. Despite the overwhelming tendency to interpret the syllogistic as formal epistemology, it was not until the early 1970s that it occurred to anyone to think that Aristotle may have developed a theory of deductive reasoning with a well worked-out system of deductions comparable in rigor and precision with systems such as propositional logic or equational logic familiar from mathematical logic. When modern logicians in the 1920s and 1930s first turned their attention to the problem of understanding Aristotle's contribution to logic in modern terms, they were guided both by the Frege-Russell conception of logic as formal ontology and at the same time by a desire to protect Aristotle from possible charges of psychologism. They thought they saw Aristotle applying the informal axiomatic method to formal ontology, not as making the first steps into formal epistemology. They did not notice Aristotle's description of deductive reasoning. Ironically, the formal axiomatic method (in which one explicitly presents not merely the substantive axioms but also the deductive processes used to derive theorems from the axioms) is incipient in Aristotle's presentation. Partly in opposition to the axiomatic, ontically-oriented approach to Aristotle's logic and partly as a result of attempting to increase the degree of fit between interpretation and text, logicians in the 1970s working independently came to remarkably similar conclusions to the effect that Aristotle indeed had produced the first system of formal deductions. They concluded that Aristotle had analyzed the process of deduction and that his achievement included a semantically complete system of natural deductions including both direct and indirect deductions. Where the interpretations of the 1920s and 1930s attribute to Aristotle a system of propositions organized deductively, the interpretations of the 1970s attribute to Aristotle a system of deductions, or extended deductive discourses, organized epistemically. The logicians of the 1920s and 1930s take Aristotle to be deducing laws of logic from axiomatic origins; the logicians of the 1970s take Aristotle to be describing the process of deduction and in particular to be describing deductions themselves, both those deductions that are proofs based on axiomatic premises and those deductions that, though deductively cogent, do not establish the truth of the conclusion but only that the conclusion is implied by the premise-set. Thus, two very different and opposed interpretations had emerged, interestingly both products of modern logicians equipped with the theoretical apparatus of mathematical logic. The issue at stake between these two interpretations is the historical question of Aristotle's place in the history of logic and of his orientation in philosophy of logic. This paper affirms Aristotle's place as the founder of logic taken as formal epistemology, including the study of deductive reasoning. A by-product of this study of Aristotle's accomplishments in logic is a clarification of a distinction implicit in discourses among logicians--that between logic as formal ontology and logic as formal epistemology. (shrink)

I argue that the most promising approach to understanding J.J. Gibson's "affordances" takes affordances themselves as ontological primitives, instead of treating them as dispositional properties of more primitive things, events, surfaces, or substances. These latter are best treated as coalescences of affordances present in the environment (or "coalescences of use-potential," as in Sanders (1994) and Hilditch (1995)). On this view, even the ecological approach's stress on the complementary organism/environment pair is seen as expressing a particular affordance relation between the world (...) and the analyst. That the world is parsed in any way among events and objects, perceivers and worlds, etc., reflects equally features of certain real or possible perspectives on the world and features of the world itself. In section 1, I begin by contending that, contrary to the apparent expectations of some in the field, the bare existence of affordances is surely quite uncontroversial. In section 2, I argue that the most reasonable approach to foundational ontology is a relativistic one. In section 3, I address the claim that affordances must be ontologically complemented by effectivities for the sake of completeness, and I shall argue against that claim on grounds that I take to reflect some of Gibson's most important insights. This work will help to clarify the way affordances are to be used in the fourth and final section, where I argue that ontological work, even within special sciences, should not be merely "regional," and that the most attractive general approach to ontological questions is one that is based on affordances, rather than upon things, events, surfaces, and the like. (shrink)

Stephen Law developed a challenge to theism, known as the evil-god challenge (Law (2010) ). The evil-god challenge to theism is to explain why the theist’s responses to the problem of evil are any better than the diabolist’s – who believes in a supremely evil god – rejoinders to the problem of good, when all the theist’s ploys (theodicy, sceptical theism, etc.) can be parodied by the diabolist. In the first part of this article, I extend the evil-god challenge by (...) showing that additional theist replies to the problem of evil (more theodicies, the privation view of evil, and others) also may be appropriated, with just as much plausibility, in support of the diabolist position. In the second part of the article, I defend the evil-god challenge against several objections. (shrink)

The syllogistic figures and moods can be taken to be argument schemata as can the rules of the Stoic propositional logic. Sentence schemata have been used in axiomatizations of logic only since the landmark 1927 von Neumann paper [31]. Modern philosophers know the role of schemata in explications of the semantic conception of truth through Tarski’s 1933 Convention T [42]. Mathematical logicians recognize the role of schemata in first-order number theory where Peano’s second-order Induction Axiom is approximated by Herbrand’s Induction-Axiom (...) Schema [23]. Similarly, in first-order set theory, Zermelo’s second-order Separation Axiom is approximated by Fraenkel’s first-order Separation Schema [17]. In some of several closely related senses, a schema is a complex system having multiple components one of which is a template-text or scheme-template, a syntactic string composed of one or more “blanks” and also possibly significant words and/or symbols. In accordance with a side condition the template-text of a schema is used as a “template” to specify a multitude, often infinite, of linguistic expressions such as phrases, sentences, or argument-texts, called instances of the schema. The side condition is a second component. The collection of instances may but need not be regarded as a third component. The instances are almost always considered to come from a previously identified language (whether formal or natural), which is often considered to be another component. This article reviews the often-conflicting uses of the expressions ‘schema’ and ‘scheme’ in the literature of logic. It discusses the different definitions presupposed by those uses. And it examines the ontological and epistemic presuppositions circumvented or mooted by the use of schemata, as well as the ontological and epistemic presuppositions engendered by their use. In short, this paper is an introduction to the history and philosophy of schemata. (shrink)

One innovation in this paper is its identification, analysis, and description of a troubling ambiguity in the word ‘argument’. In one sense ‘argument’ denotes a premise-conclusion argument: a two-part system composed of a set of sentences—the premises—and a single sentence—the conclusion. In another sense it denotes a premise-conclusion-mediation argument—later called an argumentation: a three-part system composed of a set of sentences—the premises—a single sentence—the conclusion—and complex of sentences—the mediation. The latter is often intended to show that the conclusion follows from (...) the premises. The complementarity and interrelation of premise-conclusion arguments and premise-conclusion-mediation arguments resonate throughout the rest of the paper which articulates the conceptual structure found in logic from Aristotle to Tarski. This 1972 paper can be seen as anticipating Corcoran’s signature work: the more widely read 1989 paper, Argumentations and Logic, Argumentation 3, 17–43. MR91b:03006. The 1972 paper was translated into Portuguese. The 1989 paper was translated into Spanish, Portuguese, and Persian. (shrink)

A philosopher once wrote the following words:If I examine the PTOLOMAIC and COPERNICAN systems, I endeavour only, by my enquiries, to know the real situation of the planets; that is, in other words, I endeavour to give them, in my conception, the same relations, that they bear towards each other in the heavens. To this operation of the mind, therefore, there seems to be always a real, though often an unknown standard, in the nature of things; nor is truth or (...) falsehood variable by the various apprehensions of mankind. Though all human race should for ever conclude, that the sun moves, and the earth remains at rest, the sun stirs not an inch from his place for all these reasonings; and such conclusions are eternally false and erroneous. (shrink)

While there are numerous differences between the approaches taken by Maurice Merleau-Ponty and James J. Gibson, the basic motivation of the two thinkers, as well as the internal logic of their respective views, is extraordinarily close. Both were guided throughout their lives by an attempt to overcome the dualism of subject and object, and both devoted considerable attention to their "Gestaltist" predecessors. There can be no doubt but that it is largely because of this common cause that the subsequent development (...) of their ideas is so similar. It is not my objective in what follows merely to demonstrate a similarity between two lines of thought. Instead, I will try to show that each approach gains considerably from attention to the other. There are numerous ways to begin such a project, each about as arbitrary as the next. For present purposes, I shall take as of central importance the question of the character of the perceived world, both in relation to the traditionally opposed mental and material "substances", and in relation to its identification and individuation of things vis a vis one another and vis a vis ourselves. This will implicate especially Gibson's "affordances" and Merleau-Ponty's thesis concerning the "materiality of meaning.". (shrink)

Can the best arguments for a privation theory of evil be parodied, with equal plausibility, as arguments for a privation theory of good? The privation theory of evil claims that evil has no positive existence, and it is but a privation of good. The privation theory of good claims the opposite. I approach this topic as one element in the so-called evil-God Challenge. Stephen Law has argued that the epistemic support for belief in an omniscient, omnipotent, and morally perfect God (...) (theism) is on a par with the epistemic support for belief in an omniscient, omnipotent, but completely evil-God (maltheism). In fact, he concludes, the arguments for an evil God are symmetrical with, and isomorphic to, those for a good God. The privation theory of evil has often been used to defend theism against the argument from evil. Thus, part of the evil-God Challenge is to evaluate arguments for the privation theory of evil for their vulnerability to maltheist parody. I consider a broad range of arguments for the privation theory of evil, and I argue that most of them are vulnerable to parodic neutralization. Furthermore, I argue that although the thesis of the convertibility of being and goodness is often held to entail the privation theory of evil, or to be entailed by it (or to be equivalent to it), it is independent of the privation theory. I do find that David Oderberg’s recent argument for the privation theory of evil resists any easy maltheist parody, but I argue that it has a defect. I sketch an argument according to which his good-as-fulfillment account is compatible with a perfectly evil god. My tentative conclusion is that the privation theory of evil enjoys little more plausibility than does the privation theory of good. (shrink)

There is a great deal that might be said about justice in property claims. The strategy that I shall employ focuses attention upon the initial acquisition of property -- the most sensitive and most interesting area of property theory. Every theory that discusses property claims favorably assumes that there is some justification for transforming previously unowned resources into property. It is often this assumption which has seemed, to one extent or another, to be vulnerable to attack by critics of particular (...) justifications of property. Nevertheless, this assumption is frequently left undefended by property theorists, and where it is defended, the defense is often remarkably weak. That some initial claim to property be defensible is required by any theory which holds that certain present distributions may be justified, that certain transfers of property are justified, or that restitution ought to be made for previous injustice in transfer or acquisition. The initial acquisition of property, and its justification, is crucial to the remainder of property theory. (shrink)

Aristotle said that induction (epagōgē) is a proceeding from particulars to a universal, and the definition has been conventional ever since. But there is an ambiguity here. Induction in the Scholastic and the (so-called) Humean tradition has presumed that Aristotle meant going from particular statements to universal statements. But the alternate view, namely that Aristotle meant going from particular things to universal ideas, prevailed all through antiquity and then again from the time of Francis Bacon until the mid-nineteenth century. Recent (...) scholarship is so steeped in the first-mentioned tradition that we have virtually forgotten the other. In this essay McCaskey seeks to recover that alternate tradition, a tradition whose leading theoreticians were William Whewell, Francis Bacon, Socrates, and in fact Aristotle himself. The examination is both historical and philosophical. The first part of the essay fills out the history. The latter part examines the most mature of the philosophies in the Socratic tradition, specifically Bacon’s and Whewell’s. After tracing out this tradition, McCaskey shows how this alternate view of induction is indeed employed in science, as exemplified by several instances taken from actual scientific practice. In this manner, McCaskey proposes to us that the Humean problem of induction is merely an artifact of a bad conception of induction and that a return to the Socratic conception might be warranted. (shrink)

This study concerns logical systems considered as theories. By searching for the problems which the traditionally given systems may reasonably be intended to solve, we clarify the rationales for the adequacy criteria commonly applied to logical systems. From this point of view there appear to be three basic types of logical systems: those concerned with logical truth; those concerned with logical truth and with logical consequence; and those concerned with deduction per se as well as with logical truth and logical (...) consequence. Adequacy criteria for systems of the first two types include: effectiveness, soundness, completeness, Post completeness, "strong soundness" and strong completeness. Consideration of a logical system as a theory of deduction leads us to attempt to formulate two adequacy criteria for systems of proofs. The first deals with the concept of rigor or "gaplessness" in proofs. The second is a completeness condition for a system of proofs. An historical note at the end of the paper suggests a remarkable parallel between the above hierarchy of systems and the actual historical development of this area of logic. (shrink)

Contrary to common misconceptions, today's logic is not devoid of existential import: the universalized conditional ∀ x [S→ P] implies its corresponding existentialized conjunction ∃ x [S & P], not in all cases, but in some. We characterize the proexamples by proving the Existential-Import Equivalence: The antecedent S of the universalized conditional alone determines whether the universalized conditional has existential import, i.e. whether it implies its corresponding existentialized conjunction.A predicate is an open formula having only x free. An existential-import predicate (...) Q is one whose existentialization, ∃ x Q, is logically true; otherwise, Q is existential-import-free or simply import-free.How abundant or widespread is existential import? How abundant or widespread are existential-import predicates in themselves or in comparison to import-free predicates? We show that existential-import predicates are quite abundant, and no less so than import-free predicates. Existential.. (shrink)

Worrall argued that structural realism provides a ‘synthesis’ of the main pro-realist argument – the ‘No Miracles Argument’, and the main anti-realist argument – the ‘Pessimistic Induction’. More recently, however, it has been claimed that each of these arguments is an instance of the same probabilistic fallacy – sometimes called the ‘base-rate fallacy’. If correct, this clearly seems to undermine structural realism and Magnus and Callender have indeed claimed that both arguments are fallacious and ‘without [them] we lose the rationale (...) for … structural realism ’. I here argue that what have been shown to be fallacious are simply misguided formalisations of ‘the’ arguments and that when they are properly construed they continue to provide powerful motivation for favouring structural realism. (shrink)

This paper discusses the history of the confusion and controversies over whether the definition of consequence presented in the 11-page 1936 Tarski consequence-definition paper is based on a monistic fixed-universe framework?like Begriffsschrift and Principia Mathematica. Monistic fixed-universe frameworks, common in pre-WWII logic, keep the range of the individual variables fixed as the class of all individuals. The contrary alternative is that the definition is predicated on a pluralistic multiple-universe framework?like the 1931 Gödel incompleteness paper. A pluralistic multiple-universe framework recognizes multiple (...) universes of discourse serving as different ranges of the individual variables in different interpretations?as in post-WWII model theory. In the early 1960s, many logicians?mistakenly, as we show?held the ?contrary alternative? that Tarski 1936 had already adopted a Gödel-type, pluralistic, multiple-universe framework. We explain that Tarski had not yet shifted out of the monistic, Frege?Russell, fixed-universe paradigm. We further argue that between his Principia-influenced pre-WWII Warsaw period and his model-theoretic post-WWII Berkeley period, Tarski's philosophy underwent many other radical changes. (shrink)

This chapter interprets G. E. M. Anscombe’s discussion in §31 of Intention of the relationship between expressions of intention and descriptions of matters of fact. For Anscombe, a statement like “I’m raising my arm” or “I’m going to get up at 7:00”, which expresses an intention by saying what is happening or is going to happen, is contradicted only by an opposing command or the expression of an opposing intention. I first challenge an interpretation of this passage as claiming that (...) the truth of statements like these is somehow independent of whether the action they describe is actually performed. Against this reading, my preferred interpretation highlights the fact that Anscombe is speaking here only of what contradicts expressions of intention, while her position is that statements like these describe the world in ways that will be contrary to, and so truth-functionally incompatible with, any opposing statements of fact. (shrink)

I try in this essay to accomplish two things. First I offer some first thoughts toward a clarification of the ethical foundations of private property rights that avoids pitfalls common to more strictly Lockean theories, and is thus better prepared to address arguments posed by critics of standard private property arrangements. Second, I'll address one critical argument that has become pretty common over the years. While versions of the argument can be traced back at least to Pierre Joseph Proudhon, I'll (...) focus on a formulation given it by Jeremy Waldron. The basic idea is that the only sound arguments for private property rights lead to the conclusion that society has an obligation to insure that every citizen possess private property. In Waldron's formulation, what is justifiable is a general, rather than a special, right to private property. I shall try to suggest that this conclusion is unwarranted. (shrink)

This paper explores the possibility that causal decision theory can be formulated in terms of probabilities of conditionals. It is argued that a generalized Stalnaker semantics in combination with an underlying branching time structure not only provides the basis for a plausible account of the semantics of indicative conditionals, but also that the resulting conditionals have properties that make them well-suited as a basis for formulating causal decision theory. Decision theory (at least if we omit the frills) is not an (...) esoteric science, however unfamiliar it may seem to an outsider. Rather it is a systematic exposition of the consequences of certain well-chosen platitudes about belief, desire, preference and choice. It is the very core of our common-sense theory of persons, dissected out and elegantly systematized. (David Lewis, Synthese 23:331–344, 1974, p. 337). A small distortion in the analysis of the conditional may create spurious problems with the analysis of other concepts. So if the facts about usage favor one among a number of subtly different theories, it may be important to determine which one it is. (Robert Stalnaker, A Defense of Conditional Excluded Middle, pp. 87–104, 1980, p. 87). (shrink)

Genes are thought to have evolved from long-lived and multiply-interactive molecules in the early stages of the origins of life. However, at that stage there were no replicators, and the distinction between interactors and replicators did not yet apply. Nevertheless, the process of evolution that proceeded from initial autocatalytic hypercycles to full organisms was a Darwinian process of selection of favourable variants. We distinguish therefore between Neo-Darwinian evolution and the related Weismannian and Central Dogma divisions, on the one hand, and (...) the more generic category of Darwinian evolution on the other. We argue that Hull’s and Dawkins’ replicator/interactor distinction of entities is a sufficient, but not necessary, condition for Darwinian evolution to take place. We conceive the origin of genes as a separation between different types of molecules in a thermodynamic state space, and employ a notion of reproducers. (shrink)

The five English words—sentence, proposition, judgment, statement, and fact—are central to coherent discussion in logic. However, each is ambiguous in that logicians use each with multiple normal meanings. Several of their meanings are vague in the sense of admitting borderline cases. In the course of displaying and describing the phenomena discussed using these words, this paper juxtaposes, distinguishes, and analyzes several senses of these and related words, focusing on a constellation of recommended senses. One of the purposes of this paper (...) is to demonstrate that ordinary English properly used has the resources for intricate and philosophically sound investigation of rather deep issues in logic and philosophy of language. No mathematical, logical, or linguistic symbols are used. Meanings need to be identified and clarified before being expressed in symbols. We hope to establish that clarity is served by deferring the extensive use of formalized or logically perfect languages until a solid “informal” foundation has been established. Questions of “ontological status”—e.g., whether propositions or sentences, or for that matter characters, numbers, truth-values, or instants, are “real entities”, are “idealizations”, or are “theoretical constructs”—plays no role in this paper. As is suggested by the title, this paper is written to be read aloud. -/- I hope that reading this aloud in groups will unite people in the enjoyment of the humanistic spirit of analytic philosophy. (shrink)

This interesting and imaginative monograph is based on the author’s PhD dissertation supervised by Saul Kripke. It is dedicated to Timothy Smiley, whose interpretation of PRIOR ANALYTICS informs its approach. As suggested by its title, this short work demonstrates conclusively that Aristotle’s syllogistic is a suitable vehicle for fruitful discussion of contemporary issues in logical theory. Aristotle’s syllogistic is represented by Corcoran’s 1972 reconstruction. The review studies Lear’s treatment of Aristotle’s logic, his appreciation of the Corcoran-Smiley paradigm, and his understanding (...) of modern logical theory. In the process Corcoran and Scanlan present new, previously unpublished results. Corcoran regards this review as an important contribution to contemporary study of PRIOR ANALYTICS: both the book and the review deserve to be better known. (shrink)

“Second-order Logic” in Anderson, C.A. and Zeleny, M., Eds. Logic, Meaning, and Computation: Essays in Memory of Alonzo Church. Dordrecht: Kluwer, 2001. Pp. 61–76. -/- Abstract. This expository article focuses on the fundamental differences between second- order logic and first-order logic. It is written entirely in ordinary English without logical symbols. It employs second-order propositions and second-order reasoning in a natural way to illustrate the fact that second-order logic is actually a familiar part of our traditional intuitive logical framework and (...) that it is not an artificial formalism created by specialists for technical purposes. To illustrate some of the main relationships between second-order logic and first-order logic, this paper introduces basic logic, a kind of zero-order logic, which is more rudimentary than first-order and which is transcended by first-order in the same way that first-order is transcended by second-order. The heuristic effectiveness and the historical importance of second-order logic are reviewed in the context of the contemporary debate over the legitimacy of second-order logic. Rejection of second-order logic is viewed as radical: an incipient paradigm shift involving radical repudiation of a part of our scientific tradition, a tradition that is defended by classical logicians. But it is also viewed as reactionary: as being analogous to the reactionary repudiation of symbolic logic by supporters of “Aristotelian” traditional logic. But even if “genuine” logic comes to be regarded as excluding second-order reasoning, which seems less likely today than fifty years ago, its effectiveness as a heuristic instrument will remain and its importance for understanding the history of logic and mathematics will not be diminished. Second-order logic may someday be gone, but it will never be forgotten. Technical formalisms have been avoided entirely in an effort to reach a wide audience, but every effort has been made to limit the inevitable sacrifice of rigor. People who do not know second-order logic cannot understand the modern debate over its legitimacy and they are cut-off from the heuristic advantages of second-order logic. And, what may be worse, they are cut-off from an understanding of the history of logic and thus are constrained to have distorted views of the nature of the subject. As Aristotle first said, we do not understand a discipline until we have seen its development. It is a truism that a person's conceptions of what a discipline is and of what it can become are predicated on their conception of what it has been. (shrink)

As complicated an affair as it may be to give a fully acceptable general characterization of professional codes of ethics that will capture every nuance, one theme that has attracted widespread attention portrays them as contrivances whose primary function is to secure certain obligations of professionals to clients, or to the external community. In contrast to such an "externalist" characterization of professional codes, it has occasionally been contended that, first and foremost, they should be understood as internal conventions, adopted among (...) professionals as a device for securing the "interests" of the professionals themselves. In what follows, I will argue that both of these lines are incomplete. As important as service to the community and the interests of professionals may be in the full understanding of the multiple role that "codes of ethics" play in many professions, it is equally important to see them as expressive of the romance of a profession. Professional codes should be understood not only in terms of their utility to the community, or in terms of their utility to practitioners, but as expressions of callings. Analyses of professional codes of ethics that do not take into consideration their role in evoking the romance of a professional calling are thus not entirely adequate. Professional standards and codes can be fully understood only if one appreciates that they are designed to contribute to and evoke feelings of dignity, self-worth-and, for better or for worse, even the superiority--of the professionals themselves; the code may seem to them to express essential features of what the profession really is. (shrink)

C. I. Lewis (I883-I964) was the first major figure in history and philosophy of logic—-a field that has come to be recognized as a separate specialty after years of work by Ivor Grattan-Guinness and others (Dawson 2003, 257).Lewis was among the earliest to accept the challenges offered by this field; he was the first who had the philosophical and mathematical talent, the philosophical, logical, and historical background, and the patience and dedication to objectivity needed to excel. He was blessed with (...) many fortunate circumstances, not least of which was entering the field when mathematical logic, after only six decades of toil, had just reaped one of its most important harvests with publication of the monumental Principia Mathematica. It was a time of joyful optimism which demanded an historical account and a sober philosophical critique. Lewis was one of the first to apply to mathematical logic the Aristotelian dictum that we do not understand a living institution until we see it growing from its birth. (shrink)

In Anarchy, State and Utopia, Robert Nozick argues, first, that free-market anarchism is unstable -that it will inevitably lead back to the state; and, second, that without a certain "redistributive" proviso, the model is unjust. If either of these things is the case, the model defeats itself, for its justification purports to be that it provides a morally acceptable alternative to government (and therefore to the state). I argue, against Nozick's contention, that his "dominant protection agency" neither meets his monopoly (...) condition for statehood nor need run afowl of his redistributive requirement. This being the case, his argument against free market anarchism fails. (shrink)

This essay takes logic and ethics in broad senses: logic as the science of evidence; ethics as the science justice. One of its main conclusions is that neither science can be fruitfully pursued without the virtues fostered by the other: logic is pointless without fairness and compassion; ethics is pointless without rigor and objectivity. The logician urging us to be dispassionate is in resonance and harmony with the ethicist urging us to be compassionate.

William James wrote that the life of religion “consists of the belief that there is an unseen order, and that our supreme good lies in harmoniously adjusting ourselves thereto.” Naturalism organizes our experiences of the universe within a science-grounded philosophical and/or religious framework aligning it with what is supremely good for our lives. This article describes a science-grounded specific “Framework of Spirituality” identifying part of this unseen order that opens a “spiritual core” within persons as a source of healing and (...) happiness. A cognitive behavioral therapy (CBT) expanded process shows how experiences of human worth and dignity are keys to this new awareness and provides speculation for a brain function and evolutionary explanation. Details of this knowledge are related to various perspectives and authors of naturalism—scientific, religious, ecstatic, and ecological—to contribute to a future direction for the understanding, development, and further expression of naturalism. (shrink)

We are much better equipped to let the facts reveal themselves to us instead of blinding ourselves to them or stubbornly trying to force them into preconceived molds. We no longer embarrass ourselves in front of our students, for example, by insisting that “Some Xs are Y” means the same as “Some X is Y”, and lamely adding “for purposes of logic” whenever there is pushback. Logic teaching in this century can exploit the new spirit of objectivity, humility, clarity, observationalism, (...) contextualism, and pluralism. Besides the new spirit there have been quiet developments in logic and its history and philosophy that could radically improve logic teaching. This lecture expands points which apply equally well in first, second, and third courses, i.e. in “critical thinking”, “deductive logic”, and “symbolic logic”. (shrink)

A psychological study of thought and language which takes an exposition of scientific linquistics as a point of departure.

A revisionist account of how philosophical induction was conceived in the ancient world and how that conception was transmitted, altered, and then rediscovered. I show how philosophers of late antiquity and then the medieval period came step-by-step to seriously misunderstand Aristotle’s view of induction and how that mistake was reversed by humanists in the Renaissance and then especially by Francis Bacon. I show, naturally enough then, that in early modern science, Baconians were Aristotelians and Aristotelians were Baconians.

Interest in "embodiment", and over how one may best express the implications of embodiment, is no parochial question, of interest only to a small number of effete philosophers. It confronts perceptual psychologists, developmental psychologists, and psychotherapists, of course. It may not be surprising, either, that it has become an important issue to some students of history and sociology, and to linguists, literary theorists and aestheticians. But that's not all. As physicists -- working within the very bastion of "objective" analysis -- (...) have tried to find expression for what seems to be going on in the domain of sub-atomic nature, they have begun to suggest that physical description itself is inevitably situated. And within the study of artificial intelligence, support is growing for the contention that intelligence cannot be understood entirely formalistically. Intelligence must at least be embodied -- it must somehow display "engaged agency" -- if it is to be recognizable as intelligence. It is within this context that the contribution offered by this essay must be understood. I shall contend that a particular conception -- that of "affordances" -- can, when suitably qualified, offer a conceptual tool of quite exceptional value in the construction of a positive theory of embodied agency, and of its philosophical consequences. (shrink)

This paper raises obvious questions undermining any residual confidence in Mates work and revealing our embarrassing ignorance of true nature of Stoic deduction. It was inspired by the challenging exploratory work of JOSIAH GOULD.

We present a colorful and novel discussion of mathematical techniques of visualizing a fourth spatial dimension. We first discuss notions of dimensionality including the homotopy dimension for objects in an (infinity,1)-topos. We try to visualize the fourth spatial dimension using color, and illustrate this with four-dimensional ice-cream. We apply categorical negative thinking to what we have called (infinity,1)-visual epistemology. The aim is that visualizations of higher spatial dimensions can occur functorially. We illustrate with five images five conjectural methods for how (...) to visualize the fourth spatial dimension. (shrink)