This paper argues that Carnap both did not view and should not have viewed Frege's project in the foundations of mathematics as misguided metaphysics. The reason for this is that Frege's project was to give an explication of number in a very Carnapian sense — something that was not lost on Carnap. Furthermore, Frege gives pragmatic justification for the basic features of his system, especially where there are ontological considerations. It will be argued that even on the question of the (...) independent existence of abstract objects, Frege and Carnap held remarkably similar views. I close with a discussion of why, despite all this, Frege would not accept the principle of tolerance. (shrink)

Carnap's position on mathematical truth in The Logical Syntax of Language has been attacked from two sides: Kreisel argues that it is formalistic but should not be, and Friedman argues that it is not formalistic but needs to be. In this paper I argue that the Carnap of Syntax does not eliminate our ordinary notion of mathematical truth in favour of a formal analogue; so Carnap's notion of mathematical truth is not formalistic. I further argue that there is no conflict (...) between Carnap's use of informal notions and his principle of tolerance; so Carnap's definition of mathematical truth need not be formalistic. CiteULike Connotea Del.icio.us What's this? (shrink)

From 1953 to 1959 Gödel worked on a response to Carnap’s philosophy of mathematics. The drafts display Gödel’s familiarity with Carnap’s position from The Logical Syntax of Language, but they received a dismissive reaction on their eventual, posthumous, publication. Gödel’s two principal points, however, will here be defended. Gödel, though, had wished simply to append a few paragraphs to show that the same arguments apply to Carnap’s later views. Carnap’s position, however, had changed significantly in the intervening years, and to (...) a significant extent, this mature position realizes much of what Gödel himself wanted out of a philosophy of mathematics. (shrink)

This paper will deal with three questions regarding Carnap's transition from the position he held at the time of writing Syntax to the doctrines he held during his semantic phase: (1) What was Carnap's attitude towards truth at the time of writing Syntax? (2) What was Carnap's position regarding questions of reference and ontology at the time of writing Syntax? (3) Was Carnap's acceptance of Tarski's analysis of truth and reference detrimental to his philosophical project? Section 1 of this paper (...) will deal with the first of these questions. Special attention will be paid to identifying what it was that prevented Carnap from defining a truth predicate for descriptive languages in Syntax. Section 2 of this paper will deal with the question of Carnap's attitude towards reference and ontology in Syntax. It will be shown that the attempt in Syntax to address ontological questions is seriously defective. Section 3 of this paper addresses the last of the questions posed above. It is argued that in the light of what is established in Sections 1 and 2, Carnap could not have retained the position of Syntax with respect to truth and reference. (shrink)

This paper investigates the relation between Carnap and Quine’s views on analyticity on the one hand, and their views on philosophical analysis or explication on the other. I argue that the stance each takes on what constitutes a successful explication largely dictates the view they take on analyticity. I show that although acknowledged by neither party (in fact Quine frequently expressed his agreement with Carnap on this subject) their views on explication are substantially different. I argue that this difference not (...) only explains their differences on the question of analyticity, but points to a Quinean way to answer a challenge that Quine posed to Carnap. The answer to this challenge leads to a Quinean view of analyticity such that arithmetical truths are analytic, according to Quine’s own remarks, and set theory is at least defensibly analytic. (shrink)

Carnap’s ‘Empiricism, Semantics, and Ontology’ (Carnap (1950a), ESO hereafter) is certainly a classic of twentieth century analytic philosophy. For decades now, most undergraduates are expected to read it at some point in their studies. Lately, it is being seen as the inspiration for a host of positions in the field of metaontology. Despite the widespread agreement on the importance of the paper, there is a lack of agreement on what Carnap attempts to do in the paper. My main aim in (...) this chapter is to defend an interpretation of ESO by displaying its relation to Carnap’s earlier works. My secondary goal will be to draw a lesson from this discussion for Carnap’s later work on unobservable entities in science. (shrink)

Abstract At the time of The Logical Syntax of Language (Syntax), Quine was, in his own words, a disciple of Carnap’s who read this work page by page as it issued from Ina Carnap’s typewriter. The present paper will show that there were serious problems with how Syntax dealt with ontological claims. These problems were especially pronounced when Carnap attempted to deal with higher order quantification. Carnap, at the time, viewed all talk of reference as being part of the misleading (...) material mode of speech, and as such dismissed, rather than addressed, ontological problems. Central to the analysis in the present paper is the concept of an explication, which was seen by both Carnap and Quine as being of great philosophical importance. It will be shown that the concept of explication played a significant role in how each formulated their mature position on ontology. Both these final positions on ontology can also be seen as a evolving in reaction to Carnap’s flawed handling of ontological matters at the time of Syntax. Carnap, influenced by Tarski’s work on semantics, comes to believe that the concept of reference can be given an acceptable explication, and that by doing so we can see reference to abstract objects as unobjectionable. As a result, Carnap develops a position very different from the one presented in Syntax. Quine strongly rejected the instrumentalism of Syntax, and sought to give an explication of ontological questions that was language independent. This paper closes with a discussion of each’s understanding of the other’s position. (shrink)

This paper puts forward and defends an account of mathematical truth, and in particular an account of the truth of mathematical axioms. The proposal attempts to be completely nonrevisionist. In this connection, it seeks to satisfy simultaneously both horns of Benacerrafs work on informal rigour. Kreisel defends the view that axioms are arrived at by a rigorous examination of our informal notions, as opposed to being stipulated or arrived at by trial and error. This view is then supplemented by a (...) Fregean account of the objectivity and our knowledge of abstract objects. It is then argued that the resulting view faces no insurmountable metaphysical or epistemic obstacles. (shrink)

Gregory Lavers gives us a timeline of Waismann’s career, an overview of Waismann’s most significant publications in this later period and a detailed walkthrough from the first to the last paper of Waismann’s series on analyticity, “Analytic - Synthetic”. Lavers closes his paper with comparisons of Waismann and Quine as well as Waismann and Carnap. Both Waismann and Quine argue that the concept of analyticity is vague and both reject reductionism. However, behind these superficial similarities we find (...) fundamentally different epistemologies. According to Lavers, the web of inferential relations, spanning from every experience to any item of scientific knowledge, that supports the outlook suggested by Quine, is rejected as manifestly wrong by Waismann. Conversely, Lavers shows that despite superficial contrasts between Waismann and Carnap—Waismann being interested in the subtleties of natural language, Carnap in replacing these through explication—the two do not really oppose each other’s’ views on analyticity and necessary truth. (shrink)

In this paper I examine the fundamental views on the nature of logical and mathematical truth of both Frege and Carnap. I argue that their positions are much closer than is standardly assumed. I attempt to establish this point on two fronts. First, I argue that Frege is not the metaphysical realist that he is standardly taken to be. Second, I argue that Carnap, where he does differ from Frege, can be seen to do so because of mathematical results proved (...) in the early twentieth century. The differences in their views are, then, not primarily philosophical differences. Also, it might be thought that Frege was interested in analyzing our ordinary mathematical notions, while Carnap was interested in the construction of arbitrary systems. I argue that this is not the case: our ordinary notions play, in a sense, an even more important role in Carnap’s philosophy of mathematics than they do in Frege’s. Finally, I address Tyler Burge’s interpretation of Frege which is in opposition to any Carnapian reading of Frege. (shrink)

This paper argues that Frege is not the metaphysical platonist about mathematics that he is standardly taken to be. It is shown that Frege’s project has two distinct stages: the identification of what is true of our ordinary notions, and then the provision of a systematic account that shares the identified features. Neither of these stages involves much metaphysics. The paper criticizes in detail Dummett’s interpretation of §§55-61 of Grundlagen. These sections fall under the heading ‘Every number is a self-subsistent (...) object’ and are described by Dummett as containing the worst arguments put forward by Frege. It is argued that essentially all of Dummett’s interpretive points are mistaken. Finally, I show that Frege’s claims about the independence of mathematics from humans and their activities does not commit him to any particularly metaphysical position either. (shrink)

Quine’s ‘Two Dogmas of Empiricism’ is generally seen as overturning Carnap’s epistemological picture of mathematics and the sciences. However, I wish to stress how this paper grew out of arguments not having anything to do with large-scale epistemological concerns, but ones originally presented against quantified modal logic. Quine thought he could demonstrate the impossibility of adding anything like ordinary quantification to modal logic, but Barcan Marcus did exactly this. In fact, as I will argue, ‘Two Dogmas ...’ can be seen (...) as growing out of a 1947 paper of Quine’s where Barcan Marcus is the explicit target. Later, in certain exchanges with Quine, Barcan Marcus puts forward and defends a consistent and interesting position on matters of ontology and the philosophy of language. This chapter will examine Barcan Marcus’s role in both the debate over analyticity and the debate on (meta-)ontology. (shrink)

Of Zeno’s book of forty paradoxes, it was the first that attracted Socrates’ attention. This is the paradox of the like and the unlike. On contemporary assessments, this paradox is largely considered to be Zeno’s weakest surviving paradox. All of these assessments, however, rely heavily on reconstructions of the paradox. It is only relative to these reconstructions that there is nothing paradoxical involved, or that there is some rather obvious mistake being made. This paper puts forward and defends a novel (...) interpretation of this paradox, according to which the concept of a unit plays a central role. There is every reason to think the paradox turns on the concept of a unit: after the presentation of the paradox the text of the Parmenides immediately turns to a discussion of units, and the concept of a unit is also central to the Greek conception of a plurality. If this interpretation is correct then the paradox that Zeno presented was the same as one discussed and solved in Frege’s Grundlagen. (shrink)

This book has two main goals: first, to show that Quine's New Foundations set theory is better motivated than often assumed; and second, to defend Quine's philosophy of set theory. It is divided into three parts. The first concerns the history of set theory and argues against readings that see the iterative conception of set being the dominant notion of set from the very beginning. The second part concerns Quine's philosophy of set theory. Part 3 is a contemporary assessment of (...) the philosophical status of NF. Here one of the central targets is Boolos's defense of the iterative conception of set and his dismissal of NF as completely unnatural.As this is a very short review, I will avoid specific points and... (shrink)

Øystein Linnebo*. Philosophy of Mathematics. Princeton University Press, 2017. ISBN: 978-0-691-16140-2 ; 978-1-40088524-4. Pp. xviii + 203.

Landini discusses the second edition of Principia Mathematica, to show Russella (TM)s intellectual relationship with Wittgenstein and Ramsey.

In Complicity and Moral Accountability, Gregory Mellema presents a philosophical approach to the moral issues involved in complicity. Starting with a taxonomy of Thomas Aquinas, according to whom there are nine ways for one to become complicit in the wrongdoing of another, Mellema analyzes each kind of complicity and examines the moral status of someone complicit in each of these ways. Mellema's central argument is that one must perform a contributing action to qualify as an accomplice, and that it (...) is always morally blameworthy to perform such an action. Additionally, he argues that an accomplice frequently bears moral responsibility for the outcome of the other's wrongdoing, but he distinguishes this case from cases in which the accomplice is tainted by the wrongdoing of the principal actor. He further distinguishes between enabling, facilitating, and condoning harm, and introduces the concept of indirect complicity. Mellema tackles issues that are clearly important to any case of collective and shared responsibility, yet rarely discussed in depth, always presenting his arguments clearly, concisely, and engagingly. His account of the nonmoral as well as moral qualities of complicity in wrongdoing--especially of the many and varied ways in which principles and accomplices can interact--is highly illuminating. Liberally sprinkled with helpful and nuanced examples, Complicity and Moral Accountability vividly illustrates the many ways in which one may be complicit in wrongdoing. "In Complicity and Moral Accountability, Gregory Mellema has made an immensely important contribution to the discussion of group morality and collective responsibility both within and far beyond professional academic philosophy. His clearly written book will be essential reading." --Fergus Kerr, Honorary Fellow, University of Edinburgh. (shrink)

Composed of a substantial introduction, twelve original essays produced for this volume, and a new English translation of a personal, intriguing, and little ...

In 2020, it is clear that racism must be a moral priority for white American Catholics, as for all white Americans. To face racism maturely, our consciences need more robust formation than we received as children preparing for First Reconciliation—or as adolescents at Confirmation, when we were instructed that we must be prepared to act boldly to defend our commitment to Christ. One way to build a racially-mature conscience is to seek feedback from anti-racism accountability partners, as the author did. (...) Another is to explore the distinction in Catholic moral theology between invincible and vincible ignorance—what we can know and what we cannot—in order to discern whether an action or inaction is moral. Much of what liberal whites claim we can’t know without input from Blacks is readily available if we have ears to hear. (shrink)

This clear, learner-friendly text helps today's students bridge the gap between everyday culture and critical thinking. The text covers all the basics of critical thinking, beginning where students are, not where we think they should be. Its comprehensiveness allows instructors to tailor the material to their individual teaching styles, resulting in an exceptionally versatile text.

A re-issue of Gregory Bateson's classic work. It summarizes Bateson's thinking on the subject of the patterns that connect living beings to each other and to their environment.

After a period of relative exhaustion, French phenomenology has experienced a powerful revival in the last ten years, with the emer-gence of a “cosmological” paradigm in phenomenology. While this situation is obviously to be welcomed, it also presents contemporary phenomenologists with the challenge of acquiring a compass that will enable them to find their bearings in this rapidly reconfiguring philosophical landscape, and according to principles that still partly elude those who are committed to them. In so doing, the aim of (...) this study is twofold: firstly, to put forward a series of hypotheses as to the way in which it is being structured - and thus to elaborate a typology of contemporary French phenomenologies; and secondly, to attempt to determine the stakes and also the presuppositions of this new philosophical “deal” which, perhaps, remains transitory and, as such, rich in a future that, for the time being, it is only possible to presage. (shrink)

This collection of new essays addresses emotion in relation to the arts. The essays consider such topics as the paradox of fiction, emotion in the pure and abstract arts, and the rationality and ethics of emotional responses to art.

Now in its twentieth year of publication, this rich collection, popular among teachers and students alike, provides an in-depth look at major cases that have shaped the field of medical ethics. The book presents each famous (or infamous) case using extensive historical and contextual background, and then proceeds to illuminate it by careful discussion of pertinent philosophical theories and legal and ethical issues.

Recreative Minds develops a philosophical theory of imagination that draws upon the latest work in psychology. This theory illuminates the use of imagination in coming to terms with art, its role in enabling us to live as social beings, and the psychological consequences of disordered imagination. The authors offer a lucid exploration of a fascinating subject.

Browning, Grayson Douglas was born on March 7, 1929, in Seminole, Oklahoma.He received his PhD from the University Texas, Austin, 1958, where he returned later in 1972 to become its Philosophy Department chairman for four years.He was president of the Southwestern Philosophical Association in 1977, of the Florida Philosophical Association in 1967, and of the Southern Society for Philosophy and Psychology in 1972.He was not only a member of the Society for Advancement of America Philosophy; he encouraged all of his (...) students to attend and become members of this society. Among these former students are Bill Myers, David Hildebrand, and Gregory Pappas.He thought that this was one of the best societies, not only because... Read More. (shrink)

Philosophers have recently argued that self-fulfilling beliefs constitute an important counter-example to the widely accepted theses that we ought not and cannot believe at will. Cases of self-fulfilling belief are thought to constitute a special class where we enjoy the epistemic freedom to permissibly believe for pragmatic reasons, because whatever we choose to believe will end up true. In this paper, I argue that this view fails to distinguish between the aim of acquiring a true belief and the aim of (...) believing what is true. While one cannot usually fail to establish that one will acquire a true belief without establishing the truth of the believed proposition, in the case self-fulfilling belief the two can come apart. I argue that insofar as the aim of belief has to do with determining whether the believed proposition is true, it will be both impossible and impermissible to believe for pragmatic reasons. (shrink)

This book gather's thirty-five of Pence's most influential, groundbreaking, and personal essays into one broad-ranging volume. It included essays on cloning, AIDS, dignified death,and test-tube babies.

Traduit de l'italien par Marilène Raiola et Thierry Bedouelle Préface de Jean-Robert Armogathe Le premier mérite de T. Gregory est de présenter l'état actuel des recherches, sur un mode critique, illustré par des exemples. Tandis qu'un consensus s'était établi qui voyait dans les "libertines érudits" les derniers humanistes de la Renaissance, Gregory y voit les premiers représentants d'une pensée articulée des Lumières. A une Renaissance perçue comme le dernier feu du passé il oppose une interprétation nouvelle, hardie, d'ouverture (...) des temps modernes, de genèse de la raison classique. Sans doute il faut s'entendre sur les mots : cette raison-là contient bien des éléments magiques, astrologiques, alchimiques. Mais n'avons-nous pas trop souvent procédé par anachronisme et anticipé notre conception de la rationalité sur un âge où elle se constituait, à partir d'autres éléments? Gregory décrit la mise en place de cette rationalité inchoative, la genèse de la raison classique. A partir de l'introduction. (shrink)

The theory of lower previsions is designed around the principles of coherence and sure-loss avoidance, thus steers clear of all the updating anomalies highlighted in Gong and Meng's "Judicious Judgment Meets Unsettling Updating: Dilation, Sure Loss, and Simpson's Paradox" except dilation. In fact, the traditional problem with the theory of imprecise probability is that coherent inference is too complicated rather than unsettling. Progress has been made simplifying coherent inference by demoting sets of probabilities from fundamental building blocks to secondary representations (...) that are derived or discarded as needed. (shrink)

Discusses mental processes, the role of humans in nature, experience, and the connection between myth, religion, and science.

Apresentamos os resultados dos nossos estudos entre os processos educacionais e processos de subjetivação. Associamos este fato com a dificuldade dos educadores deslocarem o corpo do lugar de quem ensina para o lugar de quem aprende. Estudamos as implicações do corpo nos processos educacionais e sugerimos uma “atitude moderna” a partir do “cuidado de si”, apoiados em Foucault, como a ação do educador que “toma partido” do educando.