Buddhist philosophers have developed a rich tradition of logic. Buddhist material on logic that forms the Buddhist tradition of logic, however, is hardly discussed or even known. This article presents some of that material in a manner that is accessible to contemporary logicians and philosophers of logic and sets agendas for global philosophy of logic.

In the chapter of Difference and Repetition entitled ‘Ideas and the synthesis of difference,’ Deleuze mobilizes mathematics to develop a ‘calculus of problems’ that is based on the mathematical philosophy of Albert Lautman. Deleuze explicates this process by referring to the operation of certain conceptual couples in the field of contemporary mathematics: most notably the continuous and the discontinuous, the infinite and the finite, and the global and the local. The two mathematical theories that Deleuze draws upon for (...) this purpose are the differential calculus and the theory of dynamical systems, and Galois’ theory of polynomial equations. For the purposes of this paper I will only treat the first of these, which is based on the idea that the singularities of vector fields determine the local trajectories of solution curves, or their ‘topological behaviour’. These singularities can be described in terms of the given mathematical problematic, that is for example, how to solve two divergent series in the same field, and in terms of the solutions, as the trajectories of the solution curves to the problem. What actually counts as a solution to a problem is determined by the specific characteristics of the problem itself, typically by the singularities of this problem and the way in which they are distributed in a system. Deleuze understands the differential calculus essentially as a ‘calculus of problems’, and the theory of dynamical systems as the qualitative and topological theory of problems, which, when connected together, are determinative of the complex logic of different/ciation. (DR 209). Deleuze develops the concept of a problematic idea from the differential calculus, and following Lautman considers the concept of genesis in mathematics to ‘play the role of model ... with respect to all other domains of incarnation’. While Lautman explicated the philosophical logic of the actualization of ideas within the framework of mathematics, Deleuze (along with Guattari) follows Lautman’s suggestion and explicates the operation of this logic within the framework of a multiplicity of domains, including for example philosophy, science and art in What is Philosophy?, and the variety of domains which characterise the plateaus in A Thousand Plateaus. While for Lautman, a mathematical problem is resolved by the development of a new mathematical theory, for Deleuze, it is the construction of a concept that offers a solution to a philosophical problem; even if this newly constructed concept is characteristic of, or modelled on the new mathematical theory. (shrink)

Logic in Buddhist Philosophy concerns the systematic study of anumāna (often translated as inference) as developed by Dignāga (480-540 c.e.) and Dharmakīti (600-660 c.e.). Buddhist logicians think of inference as an instrument of knowledge (pramāṇa) and, thus, logic is considered to constitute part of epistemology in the Buddhist tradition. According to the prevalent 20th and early 21st century ‘Western’ conception of logic, however, logical study is the formal study of arguments. If we understand the nature of (...) logic to be formal, it is difficult to see what bearing logic has on knowledge. In this paper, by weaving together the main threads of thought that are salient in Dignāga’s and Dharmakīti’s texts, I shall re-conceive the nature of logic in the context of epistemology and demarcate the logical part of epistemology which can be recognised as logic. I shall demonstrate that we can recognise the logical significance of inference as understood by Buddhist logicians despite the fact that its logical significance lies within the context of knowledge. (shrink)

In this historical article, Newton da Costa discusses Francisco Miró Quesada’s philosophical ideas about logic. He discusses the topics of reason, logic, and action in Miró Quesada’s work, and in the final section he offers his critical view. In particular, he disagrees with Miró Quesada’s stance on the historicity of reason, for whom “reason is essentially absolute”, whereas for da Costa it “is being constructed in the course of history”. Da Costa concludes by emphasizing the importance of Miró (...) Quesada’s theory of logic and reason, despite it still being incomplete. -/- Historical article by Newton da Costa, annotated and translated by J. C. Cifuentes and L. F. Bartolo Alegre. (shrink)

This essay discusses Wittgenstein's conception of logic, early and late, and some of the types of logical system that he constructed. The essay shows that the common view according to which Wittgenstein had stopped engaging in logic as a philosophical discipline by the time of writing Philosophical Investigations is mistaken. It is argued that, on the contrary, logic continued to figure at the very heart of later Wittgenstein's philosophy; and that Wittgenstein's mature philosophy of (...) class='Hi'>logic contains many interesting thoughts that have gone widely unnoticed. (shrink)

I take advantage of two recent results: 1) the recognition of an alternative theoretical organization to the deductive-axiomatic one; it is characterized by a sequence of four logical steps belonging to intuitionist logic; 2) the recognition of the logical content of Cusanus’ philosophical works; also this content pertains to intuitionist logic, which Cusanus anticipated by even identifying some its logical laws. Many Cusanus’ books present the alternative theoretical organization; whose yet he did not apply in a clear way (...) its last two steps, the ad absurdum arguing and the application of the principle of sufficient reason. For this reason in the last books his thinking transcended to a metaphysical level. Hegel’s philosophy of logic shares Cusanus’ philosophical effort for exiting out classical logic. He seems to have assumed Cusanus’ anticipation of the new theoretical organization; all goes as if Hegel wanted to improve Cusanus’ poor method, by introducing a process of additions of two negations which however does not agree with the intuitionist logic. Moreover, Hegel presupposes, like Cusanus in his last years, the free application of the principle of sufficient reason to the entire subject of his philosophy of logic without awareness of the logical constraints to which is subject a correct application of this principle; hence, he introduced a metaphysical arguing which according to modern mathematical logic has no consistent content. Also Hegel’s supposed prolongation of Cusanus’ logical discoveries was an essentially metaphysical view. (shrink)

Philosophers of logic are particularly interested in understanding the aims, epistemology, and methodology of logic. This raises the question of how the philosophy of logic should go about these enquires. According to the practice-based approach, the most reliable method we have to investigate the methodology and epistemology of a research field is by considering in detail the activities of its practitioners. This holds just as true for logic as it does for the recognised empirical and (...) abstract sciences. If we wish to systematically understand the aims and epistemology of logic, we are best placed achieving this by looking at what logicians do, rather than reflecting upon the nature of logic itself. In this entry, we outline the motivations for a practice-based approach towards the philosophy of logic and highlight its advantages over more “top-down” approaches, which attempt to infer conclusions about the nature of logic and its methodology on the basis of traditional assumptions about knowledge, metaphysics, or logic itself. We end by addressing several prominent concerns raised against the practice-based approach. (shrink)

Because formal systems of symbolic logic inherently express and represent the deductive inference model formal proofs to theorem consequences can be understood to represent sound deductive inference to true conclusions without any need for other representations such as model theory.

Tarski "proved" that there cannot possibly be any correct formalization of the notion of truth entirely on the basis of an insufficiently expressive formal system that was incapable of recognizing and rejecting semantically incorrect expressions of language. -/- The only thing required to eliminate incompleteness, undecidability and inconsistency from formal systems is transforming the formal proofs of symbolic logic to use the sound deductive inference model.

This article discusses the relation between the early Wittgenstein’s and Carnap’s philosophies of logic, arguing that Carnap’s position in The Logical Syntax of Language is in certain respects much closer to the Tractatus than has been recognized. In Carnapian terms, the Tractatus’ goal is to introduce, by means of quasi-syntactical sentences, syntactical principles and concepts to be used in philosophical clarification in the formal mode. A distinction between the material and formal mode is therefore already part of the Tractatus’ (...) view, and its method for introducing syntactical concepts and principles should be entirely acceptable for Carnap by his own criteria. Moreover, despite the Tractatus’ rejection of syntactical statements, there is an important correspondence between Wittgenstein’s saying-showing distinction and Carnap’s object-language-syntax-language distinction: both constitute a distinction between logico-syntactical determinations concerning language and language as determined or described by those determinations. Wittgenstein’s distinction therefore constitutes a precursor of the object-language syntax-language distinction which the latter in a certain sense affirms, rather than simply contradicting it. The saying-showing distinction agrees with Carnap’s position also in marking logic as something that isn’t true/false about either language or reality, which is a conception that underlies Carnap’s principle of tolerance. (shrink)

Putnam, Hilary FPhilosophy of logic. Harper Essays in Philosophy. Harper Torchbooks, No. TB 1544. Harper & Row, Publishers, New York-London, 1971. v+76 pp. The author of this book has made highly regarded contributions to mathematics, to philosophy of logic and to philosophy of science, and in this book he brings his ideas in these three areas to bear on the traditional philosophic problem of materialism versus (objective) idealism. The book assumes that contemporary science (mathematical and (...) physical) is largely correct as far as it goes, or at least that it is rational to believe in it. The main thesis of the book is that consistent acceptance of contemporary science requires the acceptance of some sort of Platonistic idealism affirming the existence of abstract, non-temporal, non-material, non-mental entities (numbers,scientific laws, mathematical formulas, etc.). The author is thus in direct opposition to the extreme materialism which had dominated philosophy of science in the first three quarters of this century. the book can be especially recommended to the scientifically literate, general reader whose acquaintance with these areas is limited to the earlier literature of when it had been assumed that empiricistic materialism was the only philosophy compatible with a scientific outlook. To this group the book presents an eye-opening challenge fulfilling the author’s intention of “shaking up preconceptions and stimulating further discussion”. (shrink)

This piece replies to a recently published article in the European Journal for Philosophy of Religion by J. L. Schellenberg and Paul Draper. They contend that the field of African philosophy of religion needs renewal, and they make several recommendations on how to achieve this. I agree with their recommendations, but I argue they have omitted a crucial problem and solution to renew the field; namely, a fundamental problem of the field is that it systemically excludes non-Western philosophies (...) and scholars and, therefore, the field needs to be decolonised. (shrink)

This chapter focuses on alternative logics. It discusses a hierarchy of logical reform. It presents case studies that illustrate particular aspects of the logical revisionism discussed in the chapter. The first case study is of intuitionistic logic. The second case study turns to quantum logic, a system proposed on empirical grounds as a resolution of the antinomies of quantum mechanics. The third case study is concerned with systems of relevance logic, which have been the subject of an (...) especially detailed reform program. Finally, the fourth case study is paraconsistent logic, perhaps the most controversial of serious proposals. (shrink)

I outline the theoretical framework of, and three research programs within American speculative philosophy of science during the period 1900-1931. One program applies verificationism to research in psychology, one investigates the methodology of research programs, and one analyses scientific explanation and other scientific concepts. The primary sources for my outline are works by Morris Raphael Cohen, Grace Andrus de Laguna, Theodore de Laguna, Edgar Arthur Singer Jr., Harold Robert Smart, and Marie Collins Swabey. I also use my outline to (...) provide a partial comparison of American speculative philosophy of science and 1930s logical positivism. My comparison suggests that logical positivism was a proposal for substantially narrowing down and winding back American philosophy of science and was based on positions that were already problematized in the American context. -/- . (shrink)

This book is best regarded as a concise essay developing the personal views of a major philosopher of logic and as such it is to be welcomed by scholars in the field. It is not (and does not purport to be) a treatment of a significant portion of those philosophical problems generally thought to be germane to logic. It would be easy to list many popular topics in philosophy of logic which it does not mention. Even (...) its "definition" of logic-"the systematic study of logical truth"-is peculiar to the author and would be regarded as inappropriately restrictive by many logicians There are several standard ways of defining truth using sequences. Quine’s discussions in the 1970 first printing of Philosophy of logic and in previous lectures were vitiated by mixing two. Quine’s logical Two-Method Error, which eluded Quine’s colleagues, was corrected in the 1978 sixth printing. But Quine never explicitly acknowledged, described, or even mentioned the error in print although in correspondence he did thank Corcoran for bringing it to his attention. In regard to style one may note that the book is rich in metaphorical and sometimes even cryptic passages one of the more remarkable of which occurs in the Preface and seems to imply that deductive logic does not warrant distinctive philosophical treatment. Moreover, the author's sesquipedalian performances sometimes subvert perspicuity. (shrink)

P.F. Strawson contributed to many philosophical domains, including the philosophy of language, the history of philosophy, metaphysics, moral philosophy and philosophical methodology. Most of his contributions in these areas have influenced contemporary debates, either because his views are still defended or because they are still considered worthy of detailed responses. His views on the philosophy of logic have been only rarely discussed, however. My aim in this paper is threefold. First, I provide a systematic account (...) of Strawson’s philosophy of logic. I argue that Strawson is an important predecessor of logical expressivism, a contemporary position in the philosophy of logic most notably defended by Robert Brandom. My main focus is on Strawson’s largely-neglected 1982 paper ‘Logical Form and Logical Constants’, which contains his most mature ideas on the topic. Second, while Strawson’s position is of historical and independent philosophical interest, I argue that he leaves many points unclear. Finally, I propose several clarifications of Strawson’s position. (shrink)

It is often said that ‘every logical truth is obvious’ (Quine 1970: 82), that the ‘axioms and rules of logic are true in an obvious way’ (Murawski 2014: 87), or that ‘logic is a theory of the obvious’ (Sher 1999: 207). In this chapter, I set out to test empirically how the idea that logic is obvious is reflected in the scholarly work of logicians and philosophers of logic. My approach is data-driven. That is to say, (...) I propose that systematically searching for patterns of usage in databases of scholarly works, such as JSTOR, can provide new insights into the ways in which the idea that logic is obvious is reflected in logical and philosophical practice, i.e., in the arguments that logicians and philosophers of logic actually make in their published work. (shrink)

Gila Sher interviewed by Chen Bo: -/- I. Academic Background and Earlier Research: 1. Sher’s early years. 2. Intellectual influence: Kant, Quine, and Tarski. 3. Origin and main Ideas of The Bounds of Logic. 4. Branching quantifiers and IF logic. 5. Preparation for the next step. -/- II. Foundational Holism and a Post-Quinean Model of Knowledge: 1. General characterization of foundational holism. 2. Circularity, infinite regress, and philosophical arguments. 3. Comparing foundational holism and foundherentism. 4. A post-Quinean model (...) of knowledge. 5. Intellect and figuring out. 6. Comparing foundational holism with Quine’s holism. 7. Evaluation of Quine’s Philosophy -/- III. Substantive Theory of Truth and Relevant Issues: 1. Outline of Sher’s substantive theory of truth. 2. Criticism of deflationism and treatment of the Liar. 3. Comparing Sher’s substantive theory of truth with Tarski’s theory of truth. -/- IV. A New Philosophy of Logic and Comparison with Other Theories: 1. Foundational account of logic. 2. Standard of logicality, set theory and logic. 3. Psychologism, Hanna’s and Maddy’s conceptions of logic. 4. Quine’s theses about the revisability of logic. -/- V. Epilogue. (shrink)

PUTNAM has made highly regarded contributions to mathematics, to philosophy of logic and to philosophy of science, and in this book he brings his ideas in these three areas to bear on the traditional philosophic problem of materialism versus (objective) idealism. The book assumes that contemporary science (mathematical and physical) is largely correct as far as it goes, or at least that it is rational to believe in it. The main thesis of the book is that consistent (...) acceptance of contemporary science requires the acceptance of some sort of Platonistic idealism affirming the existence of abstract, non-temporal, non-material, non-mental entities (numbers, scientific laws, mathematical formulas, etc.). The author is thus in direct opposition to the extreme materialism which had dominated philosophy of science in the first three quarters of this century. The book can be recommended to the scientifically literate, general reader whose acquaintance with these areas is limited to the literature of the 1950’s and before, when it had been assumed that empiricistic materialism was the only philosophy compatible with a scientific outlook. To this group the book presents an eye-opening challenge fulfilling the author’s intention of “shaking up preconceptions and stimulating further discussion”. QUINE’S book is not easy to read, partly because the level of sophistication fluctuates at high frequency between remote extremes and partly because of convoluted English prose style and devilish terminology. Almost all of the minor but troublesome technical errata in the first printing have been corrected [see reviews, e.g., the reviewer, Philos. Sci. 39 (1972), no. 1, 97–99]. In the opinion of the reviewer the book is not suitable for undergraduate instruction, and without external motivation few mathematicians are likely to have the patience to appreciate it. Nevertheless, a careful study of the book will more than repay the effort and one should expect to find frequent references to this book in coming years. (shrink)

We are living in an imbalanced and insecure world. It is torn by violent conflicts on a global scale: between the West and the East, between rich and poor countries, between Christianity and Islam, between the Great Forces and naughty countries, between a global capitalist elite and workers and between the global democratic community and global terrorism. An optimistic thesis will be grounded asserting that varied cultures and civilizations can solve all existing problems and contradictions peacefully (...) and can carry out mutually advantageous cooperation more effectively irrespective of differences between them. Security problems can be explained and defined by means of making use of fundamental philosophical notions. All levels of security are interrelated on a global scale. The problem of regulation of international relations worldwide as regards guaranteeing security of all participants in them is one of primary importance. The present-day multi-polar world could be based on a social and economic pluralism and peace culture. (shrink)

Bad philosophy is responsible for the climate and nature crises, and other global problems too that threaten our future. That sounds mad, but it is true. A philosophy of science, or of theatre or life is a view about what are, or ought to be, the aims and methods of science, theatre or life. It is in this entirely legitimate sense of “philosophy” that bad philosophy is responsible for the crises we face. First, and in (...) a blatantly obvious way, those institutions, organizations, corporations, businesses, endeavours, and activities of humanity that cause the crises and global problems we face, do so because of the aims they pursue (profit perhaps, or power, or heat and light for homes), and the methods adopted in pursuit of those aims – the philosophy in other words, built into the institution, organization, business, human activities, or whatever it may be. It is the philosophy of these institutions, organizations and activities that we need to change to put a stop to, or at least lessen the severity of, the crises we face, the global problems that confront us, above all the climate and nature crises. One institution has an especially crucial role in this respect: our universities. They are dominated in a multitude of ways by a particularly disastrous philosophy, a philosophy of inquiry which may be called knowledge-inquiry. This holds that the basic aim of the university is to acquire and apply knowledge. First, knowledge is to be acquired; once acquired, it can be applied to help solve social problems. But this philosophy of knowledge-inquiry is an intellectual disaster. As a result, universities are, in devastating and almost entirely unrecognized ways, humanitarian disasters too. Judged from the standpoint of helping to promote human welfare, the university shaped by the philosophy of knowledge-inquiry violates THREE of the four most elementary rules of rational problem solving conceivable in a wholesale, structural fashion, and it is this gross, wholesale, structural irrationality of the university, unnoticed by all but a few scientists and scholars, that is in part responsible for the creation of our grave global problems, and our current incapacity to learn how to solve them. The pursuit of knowledge, conducted in universities, within the framework of knowledge-inquiry over the decades and centuries, has produced much of great benefit to humanity. It has made the modern world possible. It has led to modern power production, modern industry and armaments, modern agriculture, modern hygiene and medicine, modern travel and communications, and the internet. But these very successes have also created many of our most serious current global problems: the climate crisis; the destruction of natural habitats, the catastrophic loss of wild life, and impending mass extinction of species (the nature crisis); the lethal character of modern war; the impact on the natural world of the rapid growth of the human population; the menace posed by nuclear weapons; pollution of earth, sea and air; threats to democracy caused in part by the internet and social media. All these grave global problems have been made possible by modern science and technology, pursued largely in universities within the framework of knowledge-inquiry. Nevertheless, it is not science and technology as such that are the problem, but science pursued in a way that is dissociated from a more fundamental task of the university to help humanity resolve conflicts and problems of living in increasingly cooperatively rational ways, so that progress may be made to a better world. Science and technology, pursued within the framework of knowledge-inquiry, create for some of us the power to act, but not the power to act wisely – not the power to learn how to resolve conflicts and problems of living in increasingly cooperatively rational ways. For that, we need our institutions of learning, above all our universities, to take as their primary task to help humanity learn how to do it. In order to do that, the philosophy of inquiry put into practice by universities needs to be dramatically transformed. We urgently need to bring about a revolution in the overall aims and methods of academic inquiry – a revolution in the philosophy of the university, all around the world, wherever possible, so that the basic aim becomes to seek and promote wisdom, construed to be the capacity, active endeavour, and perhaps desire, to realize what is of value in life, for oneself and others, wisdom in this sense including knowledge, understanding and technological know-how, but much else besides, methods being dramatically modified too so as to help achieve the new academic aim. The basic task of the university would be, not to solve problems of knowledge, but rather to help people in the social world beyond the university to resolve conflicts and problems of living so that what is of value in life may be realized by everyone, insofar as that is possible. The pursuit of knowledge would be vital, but not intellectually fundamental. The intellectual and institutional revolution we so urgently need in our universities would affect every discipline and aspect of the university; it would dramatically affect both research and education, and the whole way the university is related to the rest of the social world. The revolution, from knowledge-inquiry to wisdom-inquiry would dramatically enhance the intellectual integrity and rationality of natural science, social inquiry, the humanities and technology, the character of these disciplines and the relationships they have with one another. University education throughout the university would be dramatically improved. And academic inquiry as a whole would do what, on the whole, it fails to do at present: it would help humanity resolve conflicts and problems of living in increasingly cooperatively rational and, as a result, increasingly successful ways, progress at last being made to a genuinely good, civilized world – a world in which there is peace, justice, liberal democracy, individual freedom, education, reasonable equality, sustainable prosperity and worthwhile opportunities in life, all of these for everyone, insofar as this is possible. Why, it may be asked, has academic philosophy not noticed that we urgently need to transform the current bad philosophy of inquiry of knowledge-inquiry into the far more intellectually rigorous and humanly valuable philosophy of wisdom-inquiry, so that we can begin to do what so far we have failed to do so lamentably: learn how to avoid impending disasters, and even make progress to a better world, something that seems at present almost unthinkable given the horrors of war, poverty, political enslavement of the 20th century, and the horrors of this century so far too? The answer is that academic philosophy is in a particularly pitiful state, as philosophers themselves, are just beginning to realize and lament. That is why academic philosophers are blind to the intellectual and humanitarian disaster of the bad philosophy that dominates universities today, and inconceivable to them to them that they might have, as a disciplinary task, to ensure academic inquiry implements a good philosophy of inquiry, and advocate and argue for change if it does not. Once upon a time, in Europe at least, philosophy was an intellectual power in the world. In the 17th century it created modern science which massively increased and improved our knowledge and understanding of the world, which in turn led to the Enlightenment, the industrial revolution, and the modern world. Philosophy was once so intellectually powerful and influential that it changed the course of history. But philosophy also made in the past three disastrous intellectual blunders: the post-Cartesian blunder, the post-Newtonian blunder, and the Enlightenment blunder. Never acknowledged and corrected by subsequent philosophy right down to the present, these unrecognized intellectual blunders rendered academic philosophy the esoteric, pathetic, and powerless discipline it is today, so that throughout the last century and, so far, throughout this one, academic philosophy has remained blind to the intellectual disaster of knowledge-inquiry, and thus failed entirely to take up its proper disciplinary task of warning fellow academics of the structural irrationality of the philosophy that prevails in the university, and of proposing what steps need to be taken to put things right. Instead of performing such an urgently needed philosophical task, so-called analytic philosophy was reduced to analysing the meaning of words. Since then, there has been hardly any discernible improvement, even if analysis of concepts no longer dominates the scene. Bad academic philosophy is indeed responsible for intellectual and humanitarian failures of the university. What the three past intellectual blunders of philosophy are, why their persistence so dramatically reduces academic philosophy to a triviality, and why, furthermore, this results in the failure of scientists and scholars to see what is so blatantly bad about the philosophy prevailing in universities around the world – the failure to see what so urgently needs to be done to put right what has been wrong for so long: all this is made clear in this book. A new kind of philosophy emerges during the course of the argument, critical fundamentalism, which has as its task to keep alive imaginative and critical – that is rational – thinking about our fundamental problem: How can our human world, the world we experience and live in – the world of living things, people, consciousness, free will, meaning and value – how can all of this exist and best flourish embedded as it is in the physical universe? That problem encompasses all others of life, science and thought. Critical fundamentalism tries to improve answers to aspects of this problem; but it also seeks to encourage everyone to think about the problem, from time to time, and think about how it interacts, in both directions, with more urgent particular and specialized problems of life and thought. Critical fundamentalism sets out to help improve bad philosophy wherever it is to be found: in social, political, commercial, legal, financial, and international life; and especially in academia, in institutions of learning, so that they become devoted to enhancing the capacity of people to learn how to achieve what is of genuine value in this brief life of a few decades if we are fortunate. Critical fundamentalism does everything it can to bring about the revolution in our universities we so urgently need. If taken up by mainstream philosophy, it might really have an impact, and begin to transform universities for the better, in both intellectual and humanitarian terms, and thus, enable humanity to learn how, after the grim failures and horrors of the last century and this one, to make progress to a better world. -/- . (shrink)

The Berlin Group for scientific philosophy was active between 1928 and 1933 and was closely related to the Vienna Circle. In 1930, the leaders of the two Groups, Hans Reichenbach and Rudolf Carnap, launched the journal Erkenntnis. However, between the Berlin Group and the Vienna Circle, there was not only close relatedness but also significant difference. Above all, while the Berlin Group explored philosophical problems of the actual practice of science, the Vienna Circle, closely following Wittgenstein, was more interested (...) in problems of the language of science. The book includes first discussion ever (in three chapters) on Walter Dubislav’s logic and philosophy. Two chapters are devoted to another author scarcely explored in English, Kurt Grelling, and another one to Paul Oppenheim who became an important figure in the philosophy of science in the USA in the 1940s–1960s. Finally, the book discusses the precursor of the Nord-German tradition of scientific philosophy, Jacob Friedrich Fries. Mehr anzeigen Weniger anzeigen . (shrink)

Broadly speaking, two views of modernity are prevalent in contemporary debates. According to the first view, i.e. “modernization theory,” there is one single form of modernity, which is tantamount to liberal, capitalist modernity. The West has already and fully achieved modernity; non-Western societies have lagged behind and must simply catch up with the West. In contrast, according to the second view, “post-colonial theory,” there is no such thing as modernity. What the West erroneously calls “modernity” is nothing but a highly (...) parochial way of thought, and of economic and political organization, that developed by accident first in the West and then by the exercise of military violence or economic power was subsequently “universalized.” In this chapter, I argue that Hegel, read properly, provides a third conception of modernity, one which, contrary to the modernization theory, respects differences between societies, and yet, contrary to post-colonial theory, does not engage in dividing the human species into fundamentally different or incommensurate groups. I argue that Hegel’s theory of modernity must be sought at the conjunction of the Science of Logic (specifically the logic of the Concept) and the Philosophy of Right. I then elaborate on Hegel’s theory of modernity, thus construed. (shrink)

Review of Russell’s Philosophy of Logical Atomism 1897–1905, by Jolen Galaugher (Palgrave Macmillan 2013).

This paper contributes to explaining the rise of logical empiricism in mid-twentieth century (North) America and to a better understanding of American philosophy of science before the dominance of logical empiricism. We show that, contrary to a number of existing histories, philosophy of science was already a distinct subfield of philosophy, one with its own approaches and issues, even before logical empiricists arrived in America. It was a form of speculative philosophy with a concern for speculative (...) metaphysics, normative issues relating to science and society and issues which later were associated with logical empiricist philosophy of science, issues such as confirmation, scientific explanation, reductionism and laws of nature. Further, philosophy of science was not primarily pragmatist in orientation. We also show, with the help of our historical characterization, that a recent account of the emergence of analytic philosophy applies to the rise of logical empiricism. It has been argued that the emergence of American analytic philosophy is partly explained by analytic philosophers’ use of key institutions, including of journals, to marginalize speculative philosophy and promote analytic philosophy. We argue that this use of institutions included the marginalization of speculative and value-laden philosophy of science and the promotion of logical empiricism. (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 this inaugural lecture I offer, against the background of a discussion of knowledge representation and its tools, an overview of my research in the philosophy of science. I defend a relational model-theoretic realism as being the appropriate meta-stance most congruent with the model-theoretic view of science as a form of human engagement with the world. Making use of logics with preferential semantics within a model-theoretic paradigm, I give an account of science as process and product. I demonstrate the (...) power of the full-blown employment of this paradigm in the philosophy of science by discussing the main applications of model-theoretic realism to traditional problems in the philosophy of science. I discuss my views of the nature of logic and of its role in the philosophy of science today. I also specifically offer a brief discussion on the future of cognitive philosophy in South Africa. My conclusion is a general look at the nature of philosophical inquiry and its significance for philosophers today. South African Journal of Philosophy Vol. 25 (4) 2006: pp. 275-289. (shrink)

The aim of this paper is twofold: first, I provide a cluster of theories of truth in classical logic that is (internally) consistent with global reflection principles: the theories of positive truth (and falsity). After that, I analyse the _epistemic value_ of such theories. I do so employing the framework of cognitive projects introduced by Wright (Proc Aristot Soc 78:167–245, 2004), and employed—in the context of theories of truth—by Fischer et al. (Noûs 2019. https://doi.org/10.1111/nous.12292 ). In particular, I (...) will argue that theories of positive truth are _trustworthy_, analogously to the theories of full disquotational truth. Moreover, I argue that, for a given cognitive project, _if_ the acceptance of trustworthy theories is taken to be an _epistemic norm_ of cognitive project, then one has good reasons to accept theories of positive truth over other rival theories of truth in classical logic. On the other hand, the latter theories are deemed epistemically unacceptable. (shrink)

The theory of evolution of complex and comprising of human systems and algorithm for its constructing are the synthesis of evolutionary epistemology, philosophical anthropology and concrete scientific empirical basis in modern (transdisciplinary) science. «Trans-disciplinary» in the context is interpreted as a completely new epistemological situation, which is fraught with the initiation of a civilizational crisis. Philosophy and ideology of technogenic civilization is based on the possibility of unambiguous demarcation of public value and descriptive scientific discourses (1), and the object (...) and subject of the cognitive process (2). Both of these attributes are no longer valid. For mass, everyday consciousness and institutional philosophical tradition it is intuitively obvious that having the ability to control the evolutionary process, Homo sapiens came close to the borders of their own biological and cultural identity. The spontaneous coevolutionary process of interaction between the «subject» (rational living organisms) and the «object» (material world), is the teleological trend of the movement towards the complete rationalization of the World as It Is, its merger with the World of Due. The stratification of the global evolutionary process into selective and semantic (teleological) coevolutionary and therefore ontologically inseparable components follows. With the entry of anthropogenic civilization into the stage of the information society, firsty, the post-academic phase of the historical evolution of scientific rationality began, the attributes of which are the specific methodology of scientific knowledge, scientific ethos and ontology. Bioethics as a phenomenon of intellectual culture represents a natural philosophical core of modern post- academic (human-dimensional) science, in which the ethical neutrality of scientific theory principle is inapplicable, and elements of public-axiological and scientific-descriptive discourses are integrated into a single logic construction. As result, hermeneutics precedes epistemology not only methodologically, but also meaningfully, and natural philosophy is regaining the status of the backbone of the theory of evolution – in an explicit form. (shrink)

My analysis here is an attempt to bring out the main through-line in the development of Bulgarian philosophy of law today. A proper account of Bulgarian philosophy of law in the 20th century requires an attempt to find, on the one hand, a solution to epistemological and methodological problems in law and, on the other, a clear-cut influence of the Kantian critical tradition. Bulgarian philosophy of law follows a complicated path, ranging from acceptance and revision of Kantian (...) philosophy to the development of interesting theories on the logic of legal reasoning. (shrink)

The received view in the history of the philosophy of psychology is that the logical positivists—Carnap and Hempel in particular—endorsed the position commonly known as “logical” or “analytical” behaviourism, according to which the relations between psychological statements and the physical-behavioural statements intended to give their meaning are analytic and knowable a priori. This chapter argues that this is sheer legend: most, if not all, such relations were viewed by the logical positivists as synthetic and knowable only a posteriori. It (...) then traces the origins of the legend to the logical positivists’ idiosyncratic extensional or at best weakly intensional use of what are now considered crucially strongly intensional semantic notions, such as “translation,” “meaning” and their cognates, focussing on a particular instance of this latter phenomenon, arguing that a conflation of explicit definition and analyticity may be the chief source of the legend. (shrink)

In anticipation of the journal’s centenary in 2027 this paper provides a citation network analysis of all available citation and publication data of the Australasian Journal of Philosophy (1923–2017). A total of 2,353 academic articles containing 21,772 references were collated and analyzed. This includes 175 articles that contained author-submitted keywords, 415 publisher-tagged keywords and 519 articles that had abstracts. Results initially focused on finding the most published authors, most cited articles and most cited authors within the journal, followed by (...) most discussed topics and emerging patterns using keywords and abstracts. The analysis then proceeded to apply social network analysis using Kumu© – a visualization platform for mapping systems and relationships using large datasets. Analysis reveals topic clusters both unique to the journal, and inclusive of the journal’s history. Results from this analysis reaffirm the journal’s continuing focus on topics in traditional analytic philosophy such as morality, epistemology and knowledge, whilst also featuring topics associated with logic and paradox. This paper presents a new approach to analysing and understanding the historic and emerging topics of interest to the journal, and its readership. This has never previously been done for single philosophy journal. This is historically important given the journal’s forthcoming centenary. (shrink)

This paper introduces the special issue on Logic and Philosophy of Religion of the journal Sophia: International Journal of Philosophy and Traditions (Springer). The issue contains the following articles: Logic and Philosophy of Religion, by Ricardo Sousa Silvestre and Jean-Yvez Béziau; The End of Eternity, by Jamie Carlin Watson; The Vagueness of the Muse—The Logic of Peirce’s Humble Argument for the Reality of God, by Cassiano Terra Rodrigues; Misunderstanding the Talk(s) of the Divine: Theodicy (...) in the Wittgensteinian Tradition, by Ondřej Beran; On the Concept of Theodicy, by Ricardo Sousa Silvestre; The Logical Problem of the Trinity and the Strong Theory of Relative Identity, by Daniel Molto; Thomas Aquinas on Logic, Being, and Power, and Contemporary Problems for Divine Omnipotence, by Errin D. Clark. -/- . (shrink)

These essays are about education, learning, rational inquiry, philosophy, science studies, problem solving, academic inquiry, global problems, wisdom and, above all, the urgent need for an academic revolution. Despite this range and diversity of topics, there is a common underlying theme. Education ought to be devoted, much more than it is, to the exploration real-life, open problems; it ought not to be restricted to learning up solutions to already solved problems - especially if nothing is said about the (...) problems that provoked the solutions in the first place. There should be much more emphasis on learning how to engage in cooperatively rational exploration of problems: even five year olds could begin to learn how to do this. A central task of philosophy ought to be to keep alive awareness of our unsolved fundamental problems - especially our most fundamental problem of all, encompassing all others: How can our human world - and the world of sentient life more generally - imbued with the experiential, consciousness, free will, meaning and value, exist and best flourish embedded as it is in the physical universe? This is both our fundamental intellectual problem and our fundamental problem of living. As far as the latter is concerned, we are at present heading towards disaster - as our immense, unsolved global problems tell us: population growth, destruction of natural habitats and rapid extinction of species, vast inequalities of wealth and power around the world, pollution of earth, sea and air, our proclivity for war, and above all global warming. If we are to resolve our conflicts and global problems more intelligently, effectively and humanely than we have managed to do so far, then we have to learn how to do it. That, in turn, requires that our institutions of learning, our universities and schools, are rationally designed and devoted to the task. At present they are not. That is the crisis behind all the others. From the past we have inherited the idea that the basic intellectual aim of inquiry ought to be to acquire knowledge. First, knowledge is to be acquired; then, secondarily, it can be applied to help solve social problems. But this is dangerously and damagingly irrational, and it is this irrationality that is, in part, responsible for the genesis of our current global problems, and our current incapacity to solve them. As a matter of supreme urgency, we need to transform academia so that it becomes rationally devoted to helping humanity learn how to make progress towards as good and wise a world as possible. This would involve putting problems of living - including global problems - at the heart of academia, problems of knowledge and technological know-how emerging out of, and feeding back into, the central task to help people tackle problems of living in increasingly cooperatively rational ways. Almost every department and aspect of academia needs to change. We need a new kind of academic inquiry devoted, not just to knowledge, but rather to wisdom - wisdom being the capacity to realize what is of value in life for oneself and others, wisdom including knowledge and technological know-how, but much else besides. So, this is what these essays seek to provoke: a concerted effort to transform our institutions of learning so that they become rationally and effectively devoted to helping us learn how to create a wiser world. With these essays before me, I can see that there is one crucial element of learning about which they say nothing - or nothing explicit. The vital role of play in learning. All mammals - or at any rate almost all mammals - learn by means of play. Cats, tigers, foxes and other predators learn to hunt by means of endless mock fights when kittens and cubs. Deer, sheep and antelope learn to escape by means of playful leaps and bounds when young. We are mammals too. Almost certainly, we learnt how to be adult human beings by means of play during the millions of years we evolved into homo sapiens living in hunting and gathering tribes. Children today, out of school, learn by means of play. Learning by means of play is almost certainly fundamental to our makeup. Education needs to exploit it. Schools and universities need to become places of play. Successful problem solving is often likely to be playful in character. The youthful Einstein called doing physics "getting up to mischief". But our most serious problems of living are so grim, so imbued with suffering, wasted lives and unnecessary death that the idea of approaching them in a playful spirit seems sacrilegious. We need to keep alive tackling of intellectual problems so that playful capacities can be exercised - if for no other reason (and other reasons there are, of course, aplenty). There are two really worthy impulses behind all rational inquiry: delight and compassion. (shrink)

The title of the present paper might arouse some curiosity among the minds of the readers. The very first question that arises in this respect is whether India produced any logic in the real sense of the term as has been used in the West. This paper is centered only on the three systems of Indian philosophy namely Nyāya, Buddhism and Jainism. We have been talking of Indian philosophy, Indian religion, Indian culture and Indian spirituality, but not (...) that which are of more fundamental concepts for any branch of knowledge whether it is social sciences or humanities. No aspect of human life and the universe has been left unexamined by Indian philosophers, and this leads to a totality of vision in both philosophical and psychological fields. In this paper we will discuss the main thinkers, sources and main concepts related to Indian Logic. (shrink)

In this paper it is argued that philosophical anthropology is central to ethics and politics. The denial of this has facilitated the triumph of debased notions of humans developed by Hobbes which has facilitated the enslavement of people to the logic of the global market, a logic which is now destroying the ecological conditions for civilization and most life on Earth. Reviving the classical understanding of the central place of philosophical anthropology to ethics and politics, the early (...) work of Hegel and Marx is explicated, defended and further developed by interpreting this through developments in post-mechanistic science. Overcoming the opposition between the sciences and the humanities, it is suggested that the conception of humans developed in this way can orient people in their struggle for the liberty to avert a global ecological catastrophe. (shrink)

The global relation between logical empiricism and American pragmatism is one of the more difficult problems in history of philosophy. In this paper I’d like to take a local perspective and concentrate on the details that concern the vicissitudes of a philosopher who played an important role in the encounter of logical empiricism and American pragmatism, namely, Ernest Nagel. In this paper, I want to explore some aspects of Nagel’s changing attitude towards the then „new“ logical-empiricist philosophy. (...) In the beginning Nagel welcomed logical empiricism whole-heartedly. This early enthusiasm did not last. At the end of his philosophical career Nagel’s early positive attitude towards logical empiricism shown in the 1930s had been replaced by a much more reserved one. Nagel’s growing dissatisfaction with the Carnapian version of logical empiricist philosophy was clearly expressed in Nagel’s criticism of Carnap’s inductive logic and more generally in his last book Teleology Revisited and Other Essays on History and Philosophy of Science. There he critized harshly Carnap’s philosophy of science in general as ahistoric and non-pragmatist. One of the distinctive features of Nagel’s philosophy of science is the emphasis that he put on the role of history of science for philosophy of science. A compelling evidence for this attitude are his works on the history and philosophy of geometry and algebra One may say that Carnap and Nagel represented opposed possibilities of how the profession of a philosopher of science could be understood: Carnap as a „conceptual engineer“ was engaged in the task of inventing the conceptual tools for a better theoretical understanding of science, while Nagel was to be considered more as a „public intellectual“ engaged in the project of realizing a more rational and enlightened society. (shrink)

Abu Nasr Muhammad Al-Farabi (870–950 AD), the second outstanding representative of the Muslim peripatetic after al Kindi (801–873 AD), was born in Turkestan about 870 AD. Al-Farabi’s studies commenced in Farab, then he travelled to Baghdad, where he studied logic with a Christian scholar named Yuhanna b. Hailan. Al-Farabi wrote numerous works dealing with almost every branch of science in the medieval world. In addition to a large number of books on logic and other sciences, he came to (...) be known as the “Second Teacher” (al-Mou’allim al-Thani), Aristotle being the first. One of Al-Farabi’s most important contributions was clarifying the func- tions of logic as follows: 1. He defined logic and compared it with grammar, and discussed the clas- sification and fundamental principles of science in a unique and useful manner. 2. He made the study of logic easier by dividing it into two categories: Takhayyul (idea) and Thubut (proof). 3. He believed that the objective of logic is to correct faults we may find in ourselves and in others, and faults that others find in us. 4. He said that if we do not comprehend logic, we must either have faith in all people, or mistrust all people, or differentiate between them. Such actions would be undertaken without a basis of evidence or experimen- tation. In this paper, I will analyse the functions of logic in Al-Farabi’s works, Enumeration of the Sciences, Book on the Syllogism, Book on Dialectic, Book on Demonstration and Ring Stones of Wisdom, in order to present his contributions in the field of logic. (shrink)

Relevant logics are a family of non-classical logics characterized by the behavior of their implication connectives. Unlike some other non-classical logics, such as intuitionistic logic, there are multiple philosophical views motivating relevant logics. Further, different views seem to motivate different logics. In this article, we survey five major views motivating the adoption of relevant logics: Use Criterion, sufficiency, meaning containment, theory construction, and truthmaking. We highlight the philosophical differences as well as the different logics they support. We end with (...) some questions for future research. (shrink)

Philosophy of biology is often said to have emerged in the last third of the twentieth century. Prior to this time, it has been alleged that the only authors who engaged philosophically with the life sciences were either logical empiricists who sought to impose the explanatory ideals of the physical sciences onto biology, or vitalists who invoked mystical agencies in an attempt to ward off the threat of physicochemical reduction. These schools paid little attention to actual biological science, and (...) as a result philosophy of biology languished in a state of futility for much of the twentieth century. The situation, we are told, only began to change in the late 1960s and early 1970s, when a new generation of researchers began to focus on problems internal to biology, leading to the consolidation of the discipline. In this paper we challenge this widely accepted narrative of the history of philosophy of biology. We do so by arguing that the most important tradition within early twentieth-century philosophy of biology was neither logical empiricism nor vitalism, but the organicist movement that flourished between the First and Second World Wars. We show that the organicist corpus is thematically and methodologically continuous with the contemporary literature in order to discredit the view that early work in the philosophy of biology was unproductive, and we emphasize the desirability of integrating the historical and contemporary conversations into a single, unified discourse. (shrink)

In this brief philosophical exposé, I will narrate the events as well as my personal and ecospiritual reflections pertaining to the COVID-19 pandemic which began in Wuhan, China sometime in November 2019 and have spread sporadically across countries and continents wreaking havoc medically, politically, and individually, as it claimed more than three hundred thousand lives and had virally infected more than four million of the global population. This phenomenon had led us to confront inevitable eschatological questions: Is this a (...) sign of the end times? Will this efface the vulnerable human race? Will this disrupt the global economy as capitalism had collapsed worldwide? Do these events signal a new political era, perhaps the dawn of socialism and communism, as countries worldwide are led to confront its own deficiencies and inadequacies? Which social and political systems and worldviews are efficient particularly in this age of globalization? What are our chances for human survival? These apocalyptic questions had led me to my reflections on Enrique Dussel’s philosophy of liberation, particularly on his concept of Christian ethics and the moral theology of liberation. In so doing, the paper incorporates a holistic outlook on the pandemic trying to look at the bigger picture in a global scale and considers an all-inclusive interpretation on the pandemic that ranges from the environmental, civic, cultural, political, and socioeconomic concerns. I shall try to sew and patch the pieces together into a much wider, integrated, and comprehensive outlook that includes both the global and the peripheral human experiences. (shrink)

Dorothy Edgington’s work has been at the centre of a range of ongoing debates in philosophical logic, philosophy of mind and language, metaphysics, and epistemology. This work has focused, although by no means exclusively, on the overlapping areas of conditionals, probability, and paradox. In what follows, I briefly sketch some themes from these three areas relevant to Dorothy’s work, highlighting how some of Dorothy’s work and some of the contributions of this volume fit in to these debates.

The philosophy of mind is traditionally concerned with the study of mental processes, language, the representation of knowledge and the relation of the mind shares with the body; computational complexity theory is related to the classification of computationally solvable problems (be it via execution time, storage requirements, etc...). While there are well-established links between computer science in general & the philosophy of mind, many possible solutions to traditional problems in the philosophy of mind have not yet been (...) analyzed from the more specific lens of computational complexity theory. In his paper "Why Philosophers Should Care about Computational Complexity", Scott Aaronson argues that many conventional theories of epistemology & mind implicitly make the presupposition of omniscience (by supposing that knowing base facts means a knower necessarily understands derivative facts) - he proposes that computational complexity theory could explain why this is not the case. In this paper, I argue for a theory of mental representation & epistemology compatible with Aaronson's observations on complexity theory, overcoming that presupposition of omniscience. (shrink)

Why study notations, diagrams, or more broadly the variety of nonverbal “representations” or “signs” that are used in mathematical practice? This chapter maps out recent work on the topic by distinguishing three main philosophical motivations for doing so. First, some work (like that on diagrammatic reasoning) studies signs to recover norms of informal or historical mathematical practices that would get lost if the particular signs that these practices rely on were translated away; work in this vein has the potential to (...) broaden our view of the specific normativity of mathematics beyond logical proof. Second, some work focuses on signs to highlight the open-ended and “nonrigorous” aspects of mathematical practice, and the role of these aspects in the historical development of mathematics. The third motivation is based on the following observation: the reason differences in signs matter in mathematics is that humans are finite agents, with cognitive and computational limitations. Accordingly, studying signs can be a way to study how human computational constraints shape the mathematics that we do, and to tackle the topic of mathematical understanding. (shrink)

Logic diagrams have seen a resurgence in their application in a range of fields, including logic, biology, media science, computer science and philosophy. Consequently, understanding the history and philosophy of these diagrams has become crucial. As many current diagrammatic systems in logic are based on ideas that originated in the 18th and 19th centuries, it is important to consider what motivated the use of logic diagrams in the past and whether these reasons are still (...) valid today. This paper proposes that transcendental philosophy was a key inspiration for the development of logic diagrams and that such diagrams can be employed in transcendental arguments, even after the linguistic turn. (shrink)

هذا الكتاب هو الجانب الأكبر من أطروحتي للدكتوراه من جامعة القاهرة "فلسفة اللغة والمنطق عند كواين" وهو أول دراسة عربية عن هذا المنطقي الفيلسوف. تنقسم الدراسة إلى خمسة فصول يسبقها مدخل ويلحقها خاتمة. يحدد المدخل المراد بفلسفة اللغة وفلسفة المنطق، وتيارات فلسفة اللغة المعاصرة وموقع كواين منها. ويناقش الفصل الأول مشكلة التحليلية. ويشرح الثاني نظرية كواين التجريبية السلوكية في دراسة اللغة والإشارة. ويعالج الفصل الثالث مشكلة المعنى. ويحلل الرابع دعوى اللاتحديد في الترجمة. ويبحث الخامس آراء كواين في فلسفة المنطق. وفي (...) الخاتمة تأصيل لفلسفة كواين التي تسمى التجريبية الطبيعية أحيانا أو التجريبية البراجماتية أحيانا أخرى. ويقع الكتاب في 356 صفحة . (shrink)