Kurt Gödel is almost as famous—one might say “notorious”—for his extreme platonist views as he is famous for his mathematical theorems. Moreover his platonism is not a myth; it is well-documented in his writings. Here are two platonist declarations about set theory, the first from his paper about Bertrand Russell and the second from the revised version of his paper on the Continuum Hypotheses.Classes and concepts may, however, also be conceived as real objects, namely classes as “pluralities of things” or (...) as structures consisting of a plurality of things and concepts as the properties and relations of things existing independently of our definitions and constructions.It seems to me that the assumption of such objects is quite as legitimate as the assumption of physical bodies and there is quite as much reason to believe in their existence.But, despite their remoteness from sense experience, we do have something like a perception also of the objects of set theory, as is seen from the fact that the axioms force themselves upon us as being true. I don't see any reason why we should have less confidence in this kind of perception, i.e., in mathematical intuition, than in sense perception.The first statement is a platonist declaration of a fairly standard sort concerning set theory. What is unusual in it is the inclusion of concepts among the objects of mathematics. This I will explain below. The second statement expresses what looks like a rather wild thesis. (shrink)

Gödel’s philosophical rationalism includes a program for “developing philosophy as an exact science.” Gödel believes that Husserl’s phenomenology is essential for the realization of this program. In this article, by analyzing Gödel’s philosophy of idealism, conceptual realism, and his concept of “abstract intuition,” based on clues from Gödel’s manuscripts, I try to investigate the reasons why Gödel is strongly interested in Husserl’s phenomenology and why his program for an exact philosophy is unfinished. One of the topics that has (...) attracted much attention recently is the development of Gödel’s philosophical thoughts and its connection with other philosophical ideas. For instance, some scholars are searching for the possible connections between Gödel’s philosophy and Husserl’s phenomenology and examining if there is any solid evidence of Husserl’s influence on Gödel from Gödel’s works (Tieszen, Bull Symbolic Logic 4(2):181–203, 1998; Huaser, Bull Symbolic Logic 12(4):529–588, 2006). Why is Gödel’ s interested in Husserl? How should this turn to Husserl be interpreted? Is it a dismissal of Leibnizian philosophy, or a different way to achieve similar goals? Way did Gödel turn specifically to Husserl’s transcendental idealism? (Van Atten and Kennedy, Bull Symbolic Logic 9(4):425–476, 2003) I believe, the reason is that Gödel has a valuable program for “developing philosophy as an exact science” and he believes that Husserl’s phenomenology is relevant to the realization of this program. So far there are no sufficient evidence to show that there is a direct inheritance relation between Gödel’s and Husserl’s thoughts. However, from the clues in Gödel’s idealistic philosophy, conceptual realism, and his concept of “abstract intuition,” we can perhaps explore some similarities between his thoughts and Husserl’s thoughts, and analyze the reason why Gödel is interested in Husserl’s phenomenology and why his program for an exact philosophy is unfinished. (shrink)

Gödel’s philosophical rationalism includes a program for “developing philosophy as an exact science.” Gödel believes that Husserl’s phenomenology is essential for the realization of this program. In this article, by analyzing Gödel’s philosophy of idealism, conceptual realism, and his concept of “abstract intuition,” based on clues from Gödel’s manuscripts, I try to investigate the reasons why Gödel is strongly interested in Husserl’s phenomenology and why his program for an exact philosophy is unfinished. One of the topics that has (...) attracted much attention recently is the development of Gödel’s philosophical thoughts and its connection with other philosophical ideas. For instance, some scholars are searching for the possible connections between Gödel’s philosophy and Husserl’s phenomenology and examining if there is any solid evidence of Husserl’s influence on Gödel from Gödel’s works :181–203, 1998; Huaser, Bull Symbolic Logic 12:529–588, 2006). Why is Gödel’ s interested in Husserl? How should this turn to Husserl be interpreted? Is it a dismissal of Leibnizian philosophy, or a different way to achieve similar goals? Way did Gödel turn specifically to Husserl’s transcendental idealism? :425–476, 2003) I believe, the reason is that Gödel has a valuable program for “developing philosophy as an exact science” and he believes that Husserl’s phenomenology is relevant to the realization of this program. So far there are no sufficient evidence to show that there is a direct inheritance relation between Gödel’s and Husserl’s thoughts. However, from the clues in Gödel’s idealistic philosophy, conceptual realism, and his concept of “abstract intuition,” we can perhaps explore some similarities between his thoughts and Husserl’s thoughts, and analyze the reason why Gödel is interested in Husserl’s phenomenology and why his program for an exact philosophy is unfinished. (shrink)

It is a popular view thatpractical deliberation excludes foreknowledge of one's choice. Wolfgang Spohn and Isaac Levi have argued that not even a purely probabilistic self-predictionis available to thedeliberator, if one takes subjective probabilities to be conceptually linked to betting rates. It makes no sense to have a betting rate for an option, for one's willingness to bet on the option depends on the net gain from the bet, in combination with the option's antecedent utility, rather than on the offered (...) odds. And even apart from this consideration, assigning probabilities to the options among which one is choosing is futile since such probabilities could be of no possible use in choice. The paper subjects these arguments to critical examination and suggests that, appearances notwithstanding, practical deliberation need not crowd outself-prediction. (shrink)

In this paper we (1) define and describe the practice of narrative medicine, (2) reveal the need for narrative medicine by exposing the presuppositions that give rise to its discounting, including a reductive empiricism and a strict dichotomy between scientific fact and narrative value, (3) show evidence of the effects of education in narrative competence in the medical clinic, and (4) present Peircean realism as the proper conceptual model for our argument that the medical school curriculum committees should (...) give space to the employment of the scientific and literary knowledge in medical practice. On account of our argument, we contend that the medical community should tend to latitude and openness with regard to the tools we use to resolve medical problems. These tools include both biomedical and narrative knowledge. (shrink)

This essay is a reconstruction and defense of Davidson's argument against the intelligibility of the notion of conceptual scheme. After presenting a brief clarification of Davidson's argument in 'On the Very Idea of a Conceptual Scheme', I turn to reconstructing Davidson's argument. Unlike many commentators, and occasionally Davidson, who hold that the motive force of the argument is the Principle of Charity (or the denial of the Third Dogma), I argue that there is a further principle which underlies (...) the argument. This principle I call the Strong Discrimination Principle. But the argument of the paper is not purely exegetical. Not only do I show how the Strong Discrimination Principle meets certain objections to Davidson's argument, but I show how the Principle clarifies the realist position. In particular, I show how a line of argument advanced by Rorty and Putnam against (metaphysical) realism can be rejected. (shrink)

This article applies Hilary Putnam’s theory of internal realism to the issue of religious plurality. The result of this application – ‘internalist pluralism’ – constitutes a paradigm shift within the Philosophy of Religion. Moreover, internalist pluralism succeeds in avoiding the major difficulties faced by John Hick’s famous theory of religious pluralism, which views God, or ‘the Real,’ as the noumenon lying behind diverse religious phenomena. In side-stepping the difficulties besetting Hick’s revolutionary Kantian approach, without succumbing to William Alston’s critique (...) of conceptual-scheme dependence, internalist pluralism provides a solution to significant theoretical problems, while doing so in a manner that is respectful of cultural diversity and religious sensitivities. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:A Commonwealth of Hope: Augustine’s Political Thought by Michael LAMBMichael J. S. BrunoLAMB, Michael. A Commonwealth of Hope: Augustine’s Political Thought. Princeton, N.J.: Princeton University Press, 2022. xiii + 431 pp. Cloth, $39.95In his comprehensive study of Augustinian hope, Michael Lamb seeks to provide a corrective to the common characterization, especially promoted in the last century, of Augustine as politically and socially pessimistic. Lamb asserts that Augustine’s work (...) leads us, rather, to a “realistic hope,” as he argues for a more “hopeful, this-worldly” reading of the Doctor of Grace. After tracing the path of contemporary Augustinian interpretation, Lamb begins an interdisciplinary study of Augustine’s understanding of hope, which he argues allows us to understand how Augustine “advocated and modeled engagement in public life,” as “bishop, theologian, and citizen.”In part 1, “The Virtue of Hope,” Lamb systematically discusses Augustine’s understanding of virtue, and the relationship within his theology of the theological virtues. In chapter 1, Lamb utilizes the Enchiridion to explore Augustine’s understanding of the objects and grounds of hope, as “the orientation of will” toward objects that “engage our desire and spark an affective movement for union with what we love.” In chapter 2, Lamb explores hope’s integral connection to love and integrally captures key concepts in Augustine’s thought, particularly the consequences of the Fall in human pride, the presence of the libido dominandi, and the often-discussed debate of uti-frui, noting that Augustine is fundamentally concerned with love being rightly ordered. In chapter 3, he responds to the criticism of Augustine’s hope as “otherworldly,” explaining how Augustine does not dismiss temporal goods but, rather, “chastens disordered desires for them.” Lamb also makes clear that Augustine “challenges the either/or dualism” that locates [End Page 154] eternal goods in a purely transcendent realm. In chapter 4, Lamb analyzes the grounds of faith and its objects, outlining Augustine’s treatment of faith’s relation to both authority and neighbor, who for Augustine must be included as an object of faith. In chapter 5, relying on Augustine’s Confessions, Lamb underscores the condemnation of Pelagianism while demonstrating that similar to love, we might hope in neighbors as “a way to hope in the invisible God.” He also examines the epistemological challenges presented by the vices of presumption and despair, noting how for Augustine “a deficient or disordered faith leads to disordered hope.”Part 2 of Lamb’s work turns to Augustine’s rhetoric and how Augustine’s pedagogical concerns undergird both his sermons and other works, especially the often-cited City of God. In chapter 6, Lamb notes the need within political interpretations of Augustine for a greater grasp of “his rhetorical and pedagogical purposes,” especially his moral teaching offered to a wide and diverse audience both in his preaching and letters. In chapter 7, Lamb turns to City of God, noting its aim as both instruction and encouragement, and confronts the limits of the binary view of optimism and pessimism as “anachronistic and conceptually confining.” Lamb, on the contrary, posits a “more capacious triad of presumption, hope, and despair” as capturing the true “posture” of Augustine’s City of God, especially book 22.In part 3, Lamb focuses on the place of political goods as objects of hope within Augustine’s thought. Chapter 8 focuses on the political implications of Augustine’s eschatology and ecclesiology and, through engagement with numerous interpreters, examines Augustine’s saeculum as “a passing age in which members of both cities—earthly and heavenly—share proximate goods and build a common life together.” In chapter 9, Augustine’s epistolary is examined in order to demonstrate that, while “fulfilling his duties and embodying active citizenship, [Augustine] did not make an idol of politics or see it as the ultimate source of salvation.” In chapter 10, Lamb proposes an alternative account to the “antipolitical, otherworldly exclusivist” Augustine, namely, an Augustine who both is slow to judge the virtue and vice of others and acknowledges “some form of genuine, if incomplete, virtue in those without faith.” In this chapter, Lamb’s nuances of Augustine’s understanding of “true virtue” are well grounded... (shrink)

This essay is a reconstruction and defense of Davidson''s argument against the intelligiblity of the notion of conceptual scheme. After presenting a brief clarification of Davidson''s argument in On the Very Idea of a Conceptual Scheme, I turn to reconstructing Davidson''s argument. Unlike many commentators, and occasionally Davidson, who hold that the motive force of the argument is the Principle of Charity (or the denial of the Third Dogma), I argue that there is a further principle which underlies (...) the argument. This principle I call the Strong Discrimination Principle.But the argument of the paper is not purely exegetical. Not only do I show how the Strong Discrimination Principle meets certain objections to Davidson''s argument, but I show how the Principle clarifies the realist position. In particular, I show how a line of argument advanced by Rorty and Putnam against (metaphysical) realism can be rejected. (shrink)

Internalist pluralism is an attractive and elegant theory. However, there are two apparently powerful objections to this approach that prevent its widespread adoption. According to the first objection, the resulting analysis of religious belief systems is intrinsically atheistic; while according to the second objection, the analysis is unsatisfactory because it allows religious objects simply to be defined into existence. In this article, I demonstrate that an adherent of internalist pluralism can deflect both of these objections, and in the course of (...) so arguing, I deploy a distinction between “conceptual-scheme targetability” and “successful conceptual-scheme targeting”. (shrink)

Connectionist research first emerged in the 1940s. The first phase of connectionism attracted a certain amount of media attention, but scant philosophical interest. The phase came to an abrupt halt, due to the efforts of Minsky and Papert (1969), when they argued for the intrinsic limitations of the approach. In the mid-1980s connectionism saw a resurgence. This marked the beginning of the second phase of connectionist research. This phase did attract considerable philosophical attention. It was of philosophical interest, as it (...) offered a way of counteracting the conceptual ties to the philosophical traditions of atomism, rationalism, logic, nativism, rule realism and a concern with the role symbols play in human cognitive functioning, which was prevalent as a consequence of artificial intelligence research. The surge in philosophical interest waned, possibly in part due to the efforts of some traditionalists and the so-called black box problem. Most recently, what may be thought of as a third phase of connectionist research, based on so-called deep learning methods, is beginning to show some signs of again exciting philosophical interest. (shrink)

A thought experiment focuses attention on the kinds of commonalities and differences to be found in two small parts of visual cortical areas during responses to stimuli that are either identical in quality, but different in location, or identical in location and different only in the one visible property of colour. Reflection on this thought experiment leads to the view that patterns of neural activation are the best candidates for causes of qualitatively conscious events . This view faces a strong (...) objection, namely, that patterns can be realized in many media, and thus candidates for patterns that cause qualia might be realized in ways that would not plausibly result in consciousness. It is argued that this objection can be overcome if qualia-causing patterns of events must be realized within small spatial and temporal regions. Much more importantly, it is argued that this restriction on region size need not be ad hoc. The key concept needed to establish this important point is ‘natural salience’, i.e., distinction from background noise that does not depend on application of a criterion of selection. It is explained how natural salience could figure in an empirically-based theory that would entail size restrictions for qualia-causing neural activation patterns. The question is then raised as to how the resulting view diverges from Chalmers’ account, which relies on the Principle of Organizational Invariance. A second thought experiment envisages replacement of neurons by computer chips with synaptic interfaces. Reflection on this thought experiment enables us to conceptually, and possibly empirically, separate the two views. An argument for preferring the patterns- as-causes , or PACQ, view is given. Because natural salience does not plausibly produce strictly discontinuous boundaries between pattern and noise, questions naturally arise as to the relation of the PACQ view to panpsychism and to ‘emergence’. The PACQ view is distinguished from panpsychism, and it is explained how the former avoids what Seager calls ‘the combination problem', and is thus preferable to panpsychism. The relation of the PACQ view to ‘emergence’ is explained. The conclusion of the paper is that the PACQ view is a philosophically defensible and potentially scientifically fruitful view that offers qualia realists the best hypothesis concerning the neural causes of qualia. (shrink)

This paper is a discussion of Gödel's arguments for a Platonistic conception of mathematical objects. I review the arguments that Gödel offers in different papers, and compare them to unpublished material (from Gödel's Nachlass). My claim is that Gödel's later arguments simply intend to establish that mathematical knowledge cannot be accounted for by a reflexive analysis of our mental acts. In other words, there is at the basis of mathematics some data whose constitution cannot be explained by introspective analysis. This (...) does not mean that mathematics is independent of the human mind, but only that it is independent of our ?conscious acts and decisions?, to use Gödel's own words. Mathematical objects may then have been created by the human mind, but if so, the process of creation cannot be completely analysed and re-enacted. Such a thesis is weaker than some of the statements that Gödel made about his conceptual realism. However, there is evidence that Gödel seriously considered this weak thesis, or a position depending only on this weak thesis. He also criticized Husserl's Phenomenology from this point of view. (shrink)

In ‘The Genesis of a False Dichotomy: A Critique of Conceptual Alienation’, I locate the origin of the conceptualist-realist debate in the medieval debate between nominalists, realists, and conceptualists; subsequently, I trace the development of realism and conceptualism through Kant’s Critique of Pure Reason and Hegel’s critique of the Kantian concept in his Logic, but conclude – alongside Sohn-Rethel – that the Hegelian concept failed to capture that all things, including concepts, appear dichotomous under capitalism. Next, I detail (...) the ways in which the division of word and thing mimics the mutual exclusivity of exchange and use. Finally, I claim that Marxist Psychoanalysis has the unique capacity to expose the connection between the concept, the objective world, and the individual; and in turn, reveal our subjective participation in the creation of the objective ‘terms’ of our lives. (shrink)

The well known Bell experiment with two actors Alice and Bob is considered. First the simple deduction leading to the CHSH inequality under local realism is reviewed, and some arguments from the literature are recapitulated. Then I take up certain background themes before I enter a discussion of Alice’s analysis of the situation. An important point is that her mind is limited by the fact that her Hilbert space in this context is two-dimensional. General statements about a mind’s limitation (...) during a decision process are derived from recent results on the reconstruction of quantum theory from conceptual variables. These results apply to any decision situation. Let all the data from the Bell experiment be handed over to a new actor Charlie, who performs a data analysis. But his mind is also limited: He has a four-dimensional Hilbert space in the context determined by the experiment. I show that this implies that neither Alice nor Charlie can have the argument leading to the CHSH inequality as a background for making decisions related to the experiment. Charlie may be any data analyst, and he may communicate with any person. It is argued that no rational person can be convinced by the CHSH argument when making empirical decisions on the Bell situation. (shrink)

Some have proposed that it is reasonable for an atheist to pursue a form of life shaped by engagement with theistic religious language and practice, once language and belief in God are interpreted in the appropriate non-realist manner. My aim is to defend this proposal in the face of several objections that have been raised against it. First, I engage in some conceptual spadework to distinguish more clearly some varieties of religious non-realism. Then, in response to two central (...) objections, I seek to articulate the most promising version of the view. I conclude by discussing some practical and moral objections to a non-realist form of religious life. (shrink)

This is a big-picture book, 2 written with a breadth of focus which I find admirable. It exhibits what's come to be known as the ‘intersubdiscplinary’ approach to philosophy, which is not restricted by traditional boundaries within the discipline but rather proceeds with an eye to all sorts of areas of philosophy where relevant arguments, results, analogies and strategies might be lurking. I approve of this way of doing philosophy; it seems to me that all too often that wheels are (...) reinvented, or crucial points missed, because of a lack of this sort of intersubdisciplinarity.To help guide us through such a broad landscape, this book needed to be well-signposted and clearly written, and it is. It cannot be denied, however, that the ambitious scale of The Nature of Normativity won't be to every taste. For one thing, not everyone likes big pictures. For another, this is a deep, dense and in many ways difficult book, which can only really be appreciated by sitting down with it for hours on end. It will not repay the casual skim-reader, nor is it likely to appeal to those who prefer dipping into philosophy books over reading them wholesale.The book is also long . The view under construction has a great many interlocking elements, including non-reductive normative naturalism, normative realism, a priorist intuitionism, normative internalism, the normativity of intentionality, conceptual-role semantics, contextualism, possible-worlds semantics, and certain ideas about ‘planning’ derived from the recent work of Allan Gibbard. It will be a tough read for specialists who do not share Wedgwood's familiarity with a wide range of subdisciplines, who will either have to content themselves with a superficial reading of many passages or else hunt down the necessary background material to …. (shrink)

The Schwarzschild solution has played a fundamental conceptual role in general relativity, and beyond, for instance, regarding event horizons, spacetime singularities and aspects of quantum field theory in curved spacetimes. However, one still encounters the existence of misconceptions and a certain ambiguity inherent in the Schwarzschild solution in the literature. By taking into account the point of view of an observer in the interior of the event horizon, one verifies that new conceptual difficulties arise. In this work, besides (...) providing a very brief pedagogical review, we further analyze the interior Schwarzschild black hole solution. Firstly, by deducing the interior metric by considering time-dependent metric coefficients, the interior region is analyzed without the prejudices inherited from the exterior geometry. We also pay close attention to several respective cosmological interpretations, and briefly address some of the difficulties associated to spacetime singularities. Secondly, we deduce the conserved quantities of null and timelike geodesics, and discuss several particular cases in some detail. Thirdly, we examine the Eddington–Finkelstein and Kruskal coordinates directly from the interior solution. In concluding, it is important to emphasize that the interior structure of realistic black holes has not been satisfactorily determined, and is still open to considerable debate. (shrink)

This volume publishes the papers which were offered and discussed by a group of philosophers and psychologists during a conference "designed to explore the interrelations between philosophical analyses of the family of concepts relating to the self... and empirical studies in psychology of the development and manifestations of self-control, self-knowledge, and the like," held in Chicago in 1975. The late editor arranged the papers "in terms of four topics" indicating the major themes they address. After his introduction, "Conceptual Issues (...) in the Psychology of the Self", written after the conference and intended as an harmonization of opposing views expressed in the discussions, he presents three papers concerned with psychological and philosophical aspects of "Self-Control and the Concept of Agency." In "Self-Control and the Self," Walter and Harriet N. Mischel start with "an overview of some of the main types of self-control that psychologists have researched". Such psychological studies reveal the human being as "an active, self-aware problem-solver, capable of changing himself and achieving substantial self-control through the application of rational principles to a much greater degree than has usually been supposed in psychology". William P. Alston intends to determine in what ways the self has to be taken into account in the psychology of motivation in "Self-Intervention and the Structure of Motivation". That "there is an agent that does the integrating... and so on," is to be recognized as a fact. The understanding of this self-intervention, however, demands the admission of at least two motivational systems of higher-level-wants and of lower-level-wants, differing in structure and in the mode of acquisition. Charles Taylor explores "what is involved in the notion of self, of a responsible human agent" in his paper, "What is Human Agency". A person is found to be essentially characterized by the capacity for reflective self-evaluation. "Self-Knowledge" is discussed in the following two articles. Kenneth J. Gergen defends "The Social Construction of Self-Knowledge" in line with ideas of George Herbert Mead. Self-knowledge is "primarily a socially mediated and essentially arbitrary construction of experience". In its case "there is virtually nothing to know". This socio-cognitive conception of the self is emphatically rejected by David W. Hamlyn in his "Self-Knowledge". Knowledge about oneself as studied in psychology and sociology is essentially different from self-knowledge in the full sense, "connected with some kind of commitment to oneself". Different scientific views of certain aspects of human existence are presented in "Self-Development and Its Failures". Freud’s conception of the human person finds a realistic correction in the theoretical and practical work of contemporary psychoanalysts insisting upon the need of the concept of a "cohesive self," as described in Ernest S. Wolf’s "'Irrationality’ in a Psychoanalytic Psychology of the Self". This need is denied in behavioristic psychology, as Willard F. Day, Jr. shows in "On the Behavioral Analysis of Self-Deception and Self-Development". "To a behaviorist, there is no such thing" as the self. Consequently, there cannot be a genuine self-development as distinguished from a progress toward creating a desirable environment. Self-deception means fighting the environment. "A Critique of the Behavioral Paradigm and an Alternative Conceptualization" is offered by Paul F. Secord in an analysis of "Making Oneself Behave". Meaning and deficiencies of the understanding of the self in sociological social psychology are outlined by George J. McCall in "The Social Looking-Glass: A Sociological Perspective on Self-Development". The self is seen as essentially a social self or looking-glass self. Problems with regard to an explanation of the personal choice of behavior of a determined social role, however, seem to demand impulses as well as institutions as a locus of self-appraisal. "The Meaning of ’self’ and the Multiplicity of Selves" is the title of the last section of the book. Various uses of the term ’self’ are distinguished by Stephen E. Toulmin in "Self-Knowledge of the Self". The author is primarily concerned with establishing the relations of even the sophisticated psychological and psychiatric uses of the term to the everyday experience and language of reflective conduct. Rom Harré finally hopes to interpret "the syntax of much of the talk of ‘I’ and ‘me', ‘thou’ and ‘we'... as monodramatic performances" in "The Self in Monodrama". (shrink)

In this paper I argue that it is more difficult to see how Godel's incompleteness theorems and related consistency proofs for formal systems are consistent with the views of formalists, mechanists and traditional intuitionists than it is to see how they are consistent with a particular form of mathematical realism. If the incompleteness theorems and consistency proofs are better explained by this form of realism then we can also see how there is room for skepticism about Church's Thesis (...) and the claim that minds are machines. (shrink)

This paper draws its title from the recent symposium of which it was part; it attempts to respond to the question raised by that title, taking current work in set theory into account. To this end the paper contrasts set theory with number theory, examines a severe brand of set-theoretic realism that is suggested by a passage from Godel, and sketches a first-order way of looking at the results about competing extensions of Zermelo-Fraenkel set theory. A formalistic sentiment may (...) be detectable in some portions of the paper. (shrink)

The understanding of Hegel's metaphysics that is here argued for—that it is a metaphysics of the actual world—may sound trivial or empty. To counter this, in part one the actualist reading of Hegel's idealism is opposed to two other currently popular interpretations, those of the naturalist and the conceptual realist respectively. While actualism shares motivations with each of these positions, it is argued that it is better equipped to capture what both aim to bring out in Hegel's metaphysics, but (...) also better able to resist criticisms of each of these opposed positions made from the viewpoint of the other. Like the conceptual realist, the actualist wants to affirm the objectivity of concepts in the world—an idea that can seem antithetical to the naturalist. While the position of “liberal naturalism” makes concessions to such a position, this feature is more easily accommodated by the actualist. However, like the liberal naturalist, the actualist is also suspicious of an implicit “supernaturalist” dimension of conceptual realism and, by weakening the scope of realism to the actual world, is better able to avoid it. The second and third parts of the paper attempt to show how the actualist position is reflected in Hegel's account of judgments and syllogisms in The Science of Logic. His account of judgments provides an irreducible place for judgments that are object-presupposing on the one hand and subject-locating on the other. Because such judgments are the components of syllogisms, these syllogisms have objectivity, but this is a type of objectivity within which we, as subjects, are by necessity located. The actual world has a conceptual structure because we conceptualizing beings belong to it. (shrink)

In this paper, I contest increasingly common "realist" interpretations of Hegel's theory of "the concept" (der Begriff), offering instead a "isomorphic" conception of the relation of concepts and the world. The isomorphism recommended, however, is metaphysically deflationary, for I show how Hegel's conception of conceptual form creates a conceptually internal standard for the adequacy of concepts. No "sideways-on" theory of the concept-world relationship is envisioned. This standard of conceptual adequacy is also "graduated" in that it allows for a (...) lack of fit between concept and world. The possibility for a "maximally isomorphic" fit between concept and world obtains through the teleological realization of concepts, which marks especially the "artificial" world of human culture (law, art, religion, etc.). Some of the most seemingly exaggerated claims Hegel makes about the concept, I contend, can be understood when we consider the significance Hegel ascribes to human making, which is provided for in his conceptual theory. But my framework provides an interpretive key for the way Hegel sees concepts imperfectly realized in the natural world as well. (shrink)

The compact and, with \ M\, very massive object located at the center of the Milky Way is currently the very best candidate for a supermassive black hole in our immediate vicinity. The strongest evidence for this is provided by measurements of stellar orbits, variable X-ray emission, and strongly variable polarized near-infrared emission from the location of the radio source Sagittarius A* in the middle of the central stellar cluster. Simultaneous near-infrared and X-ray observations of SgrA* have revealed insights into (...) the emission mechanisms responsible for the powerful near-infrared and X-ray flares from within a few tens to one hundred Schwarzschild radii of such a putative SMBH. If SgrA* is indeed a SMBH it will, in projection onto the sky, have the largest event horizon and will certainly be the first and most important target for very long baseline interferometry observations currently being prepared by the event horizon telescope. These observations in combination with the infrared interferometry experiment GRAVITY at the very large telescope interferometer and other experiments across the electromagnetic spectrum might yield proof for the presence of a black hole at the center of the Milky Way. The large body of evidence continues to discriminate the identification of SgrA* as a SMBH from alternative possibilities. It is, however, unclear when the ever mounting evidence for SgrA* being associated with a SMBH will suffice as a convincing proof. Additional compelling evidence may come from future gravitational wave observatories. This manuscript reviews the observational facts, theoretical grounds and conceptual aspects for the case of SgrA* being a black hole. We treat theory and observations in the framework of the philosophical discussions about “realism and underdetermination”, as this line of arguments allows us to describe the situation in observational astrophysics with respect to supermassive black holes. Questions concerning the existence of supermassive black holes and in particular SgrA* are discussed using causation as an indispensable element. We show that the results of our investigation are convincingly mapped out by this combination of concepts. (shrink)

In his book “Medical Philosophy: Conceptual issues in Medicine”, Mario Bunge provides a unique account of medical philosophy that is deeply rooted in a realist ontology he calls “systemism”. According to systemism, the world consists of systems and their parts, and systems possess emergent properties that their parts lack. Events within systems may form causes and effects that are constantly conjoined via particular mechanisms. Bunge supports the views of the evidence-based medicine movement that randomized controlled trials (RCTs) provide the (...) best evidence to establish the truth of causal hypothesis; in fact, he argues that _only_ RCTs have this ability. Here, we argue that Bunge neglects the important feature of patients being open systems which are in steady interaction with their environment. We show that accepting this feature leads to counter-intuitive consequences for his account of medical hypothesis testing. In particular, we point out that (i) the confirmation of hypotheses is inherently stochastic and affords a probabilistic account of both confirmation and evidence which we provide here; (ii) RCTs are neither necessary nor sufficient to establish the truth of a causal claim; (iii) testing of causal hypotheses requires taking into account background knowledge and the context within which an intervention is applied. We conclude that there is no “best” research methodology in medicine, but that different methodologies should coexist in a complementary fashion. (shrink)

Gödel’s philosophical conceptions bear striking similarities to Cantor’s. Although there is no conclusive evidence that Gödel deliberately used or adhered to Cantor’s views, one can successfully reconstruct and see his “Cantorianism” at work in many parts of his thought. In this paper, I aim to describe the most prominent conceptual intersections between Cantor’s and Gödel’s thought, particularly on such matters as the nature and existence of mathematical entities (sets), concepts, Platonism, the Absolute Infinite, the progress and inexhaustibility of mathematics.

In face of the multiple controversies surrounding the DSM process in general and the development of DSM-5 in particular, we have organized a discussion around what we consider six essential questions in further work on the DSM. The six questions involve: 1) the nature of a mental disorder; 2) the definition of mental disorder; 3) the issue of whether, in the current state of psychiatric science, DSM-5 should assume a cautious, conservative posture or an assertive, transformative posture; 4) the role (...) of pragmatic considerations in the construction of DSM-5; 5) the issue of utility of the DSM - whether DSM-III and IV have been designed more for clinicians or researchers, and how this conflict should be dealt with in the new manual; and 6) the possibility and advisability, given all the problems with DSM-III and IV, of designing a different diagnostic system. Part I of this article will take up the first two questions. With the first question, invited commentators express a range of opinion regarding the nature of psychiatric disorders, loosely divided into a realist position that the diagnostic categories represent real diseases that we can accurately name and know with our perceptual abilities, a middle, nominalist position that psychiatric disorders do exist in the real world but that our diagnostic categories are constructs that may or may not accurately represent the disorders out there, and finally a purely constructivist position that the diagnostic categories are simply constructs with no evidence of psychiatric disorders in the real world. The second question again offers a range of opinion as to how we should define a mental or psychiatric disorder, including the possibility that we should not try to formulate a definition. The general introduction, as well as the introductions and conclusions for the specific questions, are written by James Phillips, and the responses to commentaries are written by Allen Frances. (shrink)

Convinced that the classically undecidable problems of mathematics possess determinate truth values, Gödel issued a programmatic call to search for new axioms for their solution. The platonism underlying his belief in the determinateness of those questions in combination with his conception of intuition as a kind of perception have struck many of his readers as highly problematic. Following Gödel's own suggestion, this article explores ideas from phenomenology to specify a meaning for his mathematical realism that allows for a defensible (...) epistemology. (shrink)

The problematic features of Quine's set theories NF and ML are a result of his replacing the higher-order predicate logic of type theory by a first-order logic of membership, and can be resolved by returning to a second-order logic of predication with nominalized predicates as abstract singular terms. We adopt a modified Fregean position called conceptual realism in which the concepts (unsaturated cognitive structures) that predicates stand for are distinguished from the extensions (or intensions) that their nominalizations denote (...) as singular terms. We argue against Quine's view that predicate quantifiers can be given a referential interpretation only if the entities predicates stand for on such an interpretation are the same as the classes (assuming extensionality) that nominalized predicates denote as singular terms. Quine's alternative of giving predicate quantifiers only a substitutional interpretation is compared with a constructive version of conceptual realism, which with a logic of nominalized predicates is compared with Quine's description of conceptualism as a ramified theory of classes. We argue against Quine's implicit assumption that conceptualism cannot account for impredicative concept-formation and compare holistic conceptual realism with Quine's class Platonism. (shrink)

In this paper I discuss whether Gödel's incompleteness theorems have any implications for studies in Artificial Life (AL). Since Gödel's incompleteness theorems have been used to argue against certain mechanistic theories of the mind, it seems natural to attempt to apply the theorems to certain strong mechanistic arguments postulated by some AL theorists. -/- We find that an argument using the incompleteness theorems can not be constructed that will block the hard AL claim, specifically in the field of robotics. However, (...) we will see that the beginnings of an argument casting doubt on our ability to create living systems entirely resident in a computer environment might be suggested by looking at the incompleteness theorems from the point of view of Gödel's belief in mathematical realism. (shrink)

This paper addresses the issue of finite versus countable additivity in Bayesian probability and decision theory -- in particular, Savage's theory of subjective expected utility and personal probability. I show that Savage's reason for not requiring countable additivity in his theory is inconclusive. The assessment leads to an analysis of various highly idealised assumptions commonly adopted in Bayesian theory, where I argue that a healthy dose of, what I call, conceptual realism is often helpful in understanding the interpretational (...) value of sophisticated mathematical structures employed in applied sciences like decision theory. In the last part, I introduce countable additivity into Savage's theory and explore some technical properties in relation to other axioms of the system. (shrink)

A conceptual theory of the referential and predicable concepts used in basic speech and mental acts is described in which singular and general, complex and simple, and pronominal and nonpronominal, referential concepts are given a uniform account. The theory includes an intensional realism in which the intensional contents of predicable and referential concepts are represented through nominalized forms of the predicate and quantifier phrases that stand for those concepts. A central part of the theory distinguishes between active and (...) deactivated referential concepts, where the latter are represented by nominalized quantifier phrases that occur as parts of complex predicates. Peter Geach's arguments against theories of general reference in Reference and Generality are used as a foil to test the adequacy of the theory. Geach's arguments are shown to either beg the question of general as opposed to singular reference or to be inapplicable because of the distinction between active and deactivated referential concepts. (shrink)

Conceptual realism begins with a conceptualist theory of the nexus of predication in our speech and mental acts, a theory that explains the unity of those acts in terms of their referential and predicable aspects. This theory also contains as an integral part an intensional realism based on predicate nominalization and a reflexive abstraction in which the intensional contents of our concepts are “object”-ified, and by which an analysis of predication with intensional verbs can be given. Through (...) a second nominalization of the common names that are part of conceptual realism’s theory of reference (via quantifier phrases), the theory also accounts for both plural reference and predication and mass noun reference and predication. Finally, a separate nexus of predication based on natural kinds and the natural properties and relations nomologically related to those natural kinds, is also an integral part of the framework of conceptual realism. (shrink)

This article is a critical review of Cocchiarella’s theory of reference. In conceptual realism, there are two central distinctions regarding reference: first, between active and deactivated use of referential expressions, and, second, between using referential expressions with and without existential presupposition. Cocchiarella’s normative restrictions on the existential presuppositions of reference lead to postulating two fundamentally different kinds of objects in conceptual realism: realia or concrete objects, on the one hand, and abstract intensional objects or nonexistents, on (...) the other. According to Cocchiarella, nonexistents can be referred to only without existential presuppositions. However, referring to nonexistents with existential presuppositions is an ordinary human practice. To account for this fact, Cocchiarella’s normative theory of reference should be supplemented by a descriptive account of referring. (shrink)

In this paper we explain how the intentional objects of our mental states can be represented by the intensional objects of conceptual realism. We first briefly examine and show how Brentano’s actualist theory of judgment and his notion of an immanent object have a clear and natural representation in our conceptualist logic of names. We then briefly critically examine Meinong’s theory of objects before turning finally to our own representation of intentional objects in terms of the intensional objects (...) of conceptual realism. We conclude by explaining why existence-entailing concepts are so basic to our commonsense framework and how these concepts and their intensions can be used to model Meinong’s ontology. (shrink)

In my paper I argue, relying on Kantian definitions and conceptual distinctions, the thesis that Kantian transcen-dental philosophy, which he characterizes as a second-order system of transcendental idealism, is not [empirical] idealism, but a form of realism (resp. compatible with empirical realism [A370-1]). As arguments in favor of this “realistic” thesis, I consistently develop a realistic interpretation of the Kant’s concept of appearance (the theory of “two aspects”), as well as of Kantian Copernican revolution, of his theory (...) of intuition as cognitive ability which 'giving' ‘us objects, of the concept of double affection and noumenal causality. (shrink)

We sketch the historical and conceptual context of Turing's analysis of algorithmic or mechanical computation. We then discuss two responses to that analysis, by Gödel and by Gandy, both of which raise, though in very different ways. The possibility of computation procedures that cannot be reduced to the basic procedures into which Turing decomposed computation. Along the way, we touch on some of Cleland's views.

The framework of conceptual realism provides a logically ideal language within which to reconstruct the medieval terminist logic of the 14th century. The terminist notion of a concept, which shifted from Ockham's early view of a concept as an intentional object to his later view of a concept as a mental act , is reconstructed in this framework in terms of the idea of concepts as unsaturated cognitive structures. Intentional objects are not rejected but are reconstructed as the (...) objectified intensional contents of concepts. Their reconstruction as intensional objects is an essential part of the theory of predication of conceptual realism. It is by means of this theory that we are able to explain how the identity theory of the copula, which was basic to terminist logic, applies to categorical propositions. Reference in conceptual realism is not the same as supposition in terminist logic. Nevertheless, the various "modes" of personal supposition of terminist logic can be explained and justified in terms of this conceptualist theory of reference. (shrink)

The best known and most widely discussed aspect of Kurt Gödel's philosophy of mathematics is undoubtedly his robust realism or platonism about mathematical objects and mathematical knowledge. This has scandalized many philosophers but probably has done so less in recent years than earlier. Bertrand Russell's report in his autobiography of one or more encounters with Gödel is well known:Gödel turned out to be an unadulterated Platonist, and apparently believed that an eternal “not” was laid up in heaven, where virtuous (...) logicians might hope to meet it hereafter.On this Gödel commented:Concerning my “unadulterated” Platonism, it is no more unadulterated than Russell's own in 1921 when in the Introduction to Mathematical Philosophy … he said, “Logic is concerned with the real world just as truly as zoology, though with its more abstract and general features.” At that time evidently Russell had met the “not” even in this world, but later on under the infuence of Wittgenstein he chose to overlook it.One of the tasks I shall undertake here is to say something about what Gödel's platonism is and why he held it.A feature of Gödel's view is the manner in which he connects it with a strong conception of mathematical intuition, strong in the sense that it appears to be a basic epistemological factor in knowledge of highly abstract mathematics, in particular higher set theory. Other defenders of intuition in the foundations of mathematics, such as Brouwer and the traditional intuitionists, have a much more modest conception of what mathematical intuition will accomplish. (shrink)

This paper reassesses the criticism of the Lucas-Penrose anti-mechanist argument, based on Gödel’s incompleteness theorems, as formulated by Krajewski : this argument only works with the additional extra-formal assumption that “the human mind is consistent”. Krajewski argues that this assumption cannot be formalized, and therefore that the anti-mechanist argument – which requires the formalization of the whole reasoning process – fails to establish that the human mind is not mechanistic. A similar situation occurs with a corollary to the argument, that (...) the human mind allegedly outperforms machines, because although there is no exhaustive formal definition of natural numbers, mathematicians can successfully work with natural numbers. Again, the corollary requires an extra-formal assumption: “PA is complete” or “the set of all natural numbers exists”. I agree that extra-formal assumptions are necessary in order to validate the anti-mechanist argument and its corollary, and that those assumptions are problematic. However, I argue that formalization is possible and the problem is instead the circularity of reasoning that they cause. The human mind does not prove its own consistency, and outperforms the machine, simply by making the assumption “I am consistent”. Starting from the analysis of circularity, I propose a way of thinking about the interplay between informal and formal in mathematics. (shrink)

Remarks on the Foundations of Mathematics, Wittgenstein, despite his official 'mathematical nonrevisionism', slips into attempting to refute Gödel's theorem. Actually, Wittgenstein could have used Gödel's theorem to good effect, to support his view that proof, and even truth, are 'family resemblance' concepts. The reason that Wittgenstein did not see all this is that Gödel's theorem had become an icon of mathematical realism, and he was blinded by his own ideology. The essay is a reply to Juliet Floyd's work on (...) Gödel: what she says Wittgenstein said, I say he should have said, but didn't (couldn't). (shrink)

The article deals with the question of in which sense the notion of explanation can be applied to Kurt Gödel’s philosophy of mathematics. Gödel, as a mathematical realist, claims that in mathematics we are dealing with facts that have an objective character. One of these facts is the solvability of all well-formulated mathematical problems—and this fact requires a clarification. The assumptions on which Gödel’s position is based are: metaphysical realism: there is a mathematical universe, it is objective and independent (...) of us; epistemological optimism: we are equipped with sufficient cognitive power to gain insight into the universe. Gödel’s concept of a solution to a mathematical problem is much broader than of a mathematical proof—it is rather about finding reliable axioms that lead to a solution of the problem. I analyse the problem presented in the article, taking as an example the continuum hypothesis. (shrink)