Abstract: We propose a dichotomy between object-entities and meaning-entities. The former are entities such as molecules, cells, organisms, organizations, numbers, shapes, and so forth. The latter are entities such as concepts, propositions, and theories belonging to the realm of logic. Frege distinguished analogously between a ‘realm of reference’ and a ‘realm of sense’, which he presented in some passages as mutually exclusive. This however contradicts his assumption elsewhere that every entity is a referent (even Fregean senses can be referred to (...) by means of suitably constructed expressions). We apply the meaning/object dichotomy to mathematical and fictional entities, and develop a view of mathematical and other abstract objects as the results of certain types of demarcation – as for example the North Sea is the result of demarcations built into naval charts. Such demarcations reflect demarcatory acts, which presuppose complex cognitive and social structures enabling the creation of maps, of theories (of mathematics, of natural science), and of novels. (shrink)

It is beginning to be rather well known that Edmund Husserl, the founder of phenomenological philosophy, was originally a mathematician; he studied with Weierstrass and Kronecker in Berlin, wrote his doctoral dissertation on the calculus of variations, and was then a colleague of Cantor in Halle until he moved to the Göttingen of Hilbert and Klein in 1901. Much of Husserl’s writing prior to 1901 was about mathematics, and arguably the origin of phenomenology was in Husserl’s attempts to give (...) philosophical foundations first for analysis and later for the formal sciences in general. However, what exactly Husserl’s thoughts about mathematics were is relatively little known. Stefania Centrone’s book Logic and Philosophy of Mathematics in the Early Husserl fills this lacuna. Centrone deciphers Husserl’s early texts about mathematics and logic somewhat selectively, but also extremely accurately and carefully into lucid English and in terms we know, without however reading contemporary views into Husserl’s views. Her analysis reveals for example that Husserl’s view of logic is close to what is today taught in the standard textbooks and that he viewed abstract mathematics as a theory of structures. Her work also uncovers Husserl’s relationship to the algebraists of logic as well as to Bolzano, Frege, and Hilbert.The book is composed of three rather independent chapters. In contrast to most of the other commentaries on early Husserl, the organization of the book is thematic rather than an attempt to document the various stages in the development of Husserl’s views. The first chapter discusses Husserl’s major work on arithmetic, the second the idea of pure logic, and the last the imaginary in mathematics. (shrink)

Richard Tieszen's new book1 is a collection of fifteen articles and reviews, spanning fifteen years, presenting the author's approach to philosophical questions about logic and mathematics from the point of view of phenomenology, as developed by Edmund Husserl in the later phase2 of his philosophical thinking known as transcendental phenomenology, starting in 1907 with the Logical Investigations and characterized by the introduction of the notions of ‘reduction’. Husserlian transcendental phenomenology as philosophy of mathematics is described as one that ‘cuts (...) across’ different philosophical positions, such as platonism, nominalism, fictionalism, Hilbertian formalism, etc. but, at the same time, as having built in the conceptual tools which allow one not to incur the kinds of problems which are usually related to one's preferred approach. Phenomenology centers around the notion of intentionality3 or aboutness, i.e. the characteristic of acts of cognition of being about something. The ‘something’ a cognitive act is about is called its ‘intentional object’, meaning the object of an intentional act. Any kind of object can be seen as an intentional object irrespective of whether it is concrete, illusory, abstract, etc. Indeed the emphasis is on the intentional act, as it is in the intentional act that the object—which need not be claimed to exist—is present. In order to achieve knowledge of an object the phenomenologist investigates the consciousness of the knowing subject when performing the act directed to that particular object.Characterized in this way, it is not difficult to see that phenomenology has a straightforward bearing on almost everything, philosophy of mathematics included. As Tieszen puts it , ‘[…] our mathematical beliefs are always about something. They are about certain objects, such as numbers, sets, functions or groups […]’. …. (shrink)

In this paper, I discuss phenomenological and logical characteristics of skilled behaviour in sport. The paper comprises two parts. The first describes phenomenological characteristics of skilled behaviour through Timothy Gallwey’s two playing modes and Maurice Merleau-Ponty’s distinction between abstract and concrete movement. The second logical part introduces the concept of intentionality and the distinction Sean Kelly makes between cognitive and motor intentionality. I discuss how this distinction fits the phenomenological characteristics established in the first part (...) of the paper. My argument is that the logical structure of cognitive intentionality fits phenomenological characteristics of abstract movement, whereas the logical structure of motor intentionality fits phenomenological characteristics of concrete movements. (shrink)

This collection is the final volume of a four book survey of the state of phenomenology fifty years after the death of Edmund Husserl. Its publication represents a landmark in the comprehensive treatment of contemporary phenomenology in all its vastness and richness. The diversity of the issues raised here is dazzling, but the main themes of Husserl's thought are all either explicitly treated, or else they underlie the ingenious approaches found here. Time, historicity, intentionality, eidos, meaning, possibility/reality, and teleology are (...) the main concerns of this collection devoted to studies in aesthetics, metaphysics and literary interpretation, written by such authors as, among others, R. Cobb-Stevens, C. Moreno Marquez, J. Swiecimski, Sitansu Ray and M. Kronegger. These original studies of phenomenological aesthetics and literary theory by scholars from all parts of the world were gathered by the World Institute for Advanced Phenomenological Research and Learn ing during the year 1988/89 during its assessment of the phenomeno logical movement, fifty years after Husserl's death. IX A -T. Tymieniecka (ed.), Analecta Husserliana, Vol. XXXVII, ix. (shrink)

Theory theorists conceive of social cognition as a theoretical and observational enterprise rather than a practical and interactive one. According to them, we do our best to explain other people's actions and mental experience by appealing to folk psychology as a kind of rule book that serves to guide our observations through our puzzling encounters with others. Seemingly, for them, most of our encounters count as puzzling, and other people are always in need of explanation. By contrast, simulation theorists do (...) their best to avoid the theoretical stance by using their own experience as the measure of everyone else's. When it comes to explaining how we understand other people some of the very best contemporary philosophers, psychologists, and neuroscientists are simulationists. For example, Vittorio Gallese, Alvin Goldman, Robert Gordon, Jane Heal, Susan Hurley, and Marc Jeannerod. This short list of simulationists, however, already involves some problems. Not everyone on this list understands simulation in the same way. In effect, there are different simulation theories, and although it is important to distinguish them, and I will do so before I go much further, I will in the end argue against all of them. For several reasons I don't think that the concept of simulation explains our primary and pervasive way of understanding others, any more than theory theory does. (shrink)

The paper argues, in a nutshell, that Wittgenstein’s reconsideration, after Ramsey’s review, of the Tractatus provides the rationale for the methodological reflections from the former’s manuscripts, which are less sceptical than Schlick’s, on the viability of a phenomenological philosophy. The argument proceeds like this. Section 1 exposes a charge against a Tractarian account of logical syntax: for Ramsey, early Wittgenstein holds unjustifiably that any proposition taken to exhibit logical impossibility, like the impossibility of a fleck of two (...) colours, is analysable into formal contradiction. Section 2 explores ways in which Ramsey’s charge is taken on board by Wittgenstein’s 1929 “Some Remarks on Logical Form”, while bringing forth the view that propositions like “This is of two colours” cannot be analysed into formal contradiction. Section 3 reconstructs a mirror image of early Wittgenstein’s approach to colour-exclusion, from Schlick’s claim that propositions like “This cannot be of two colours” exhibit logical necessity and amount to formal tautologies. Section 4 isolates two responses two Schlick’s approach to colour-exclusion, suggesting that it is not more viable than early Wittgenstein’s. Section 5 assesses the rationale of Wittgenstein’s reflections on phenomenology, as informed by his approaches to colour-exclusion from early onwards. (shrink)

The First International Workshop brings together researchers from the theoretical ends of the logic programming and artificial intelligence communities to discuss their mutual interests. Logic programming deals with the use of models of mathematical logic as a way of programming computers, where theoretical AI deals with abstract issues in modeling and representing human knowledge and beliefs. One common ground is nonmonotonic reasoning, a family of logics that includes room for the kinds of variations that can be found in human reasoning. (...) Topics covered: Stable Semantics. Default Logic. AutoEpistemic Logic. Truth Maintenance Systems. Implementation Issues. Diagnosis. Applications. Inheritance Reasoning. Logics of Belief. Inconsistency and Non-Monotonicity. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Deleuze, Bergson, Merleau-Ponty: The Logics and Pragmatics of Creation, Affective Life, and Perception by Dorothea E. OlkowskiElodie BoublilOLKOWSKI, Dorothea E. Deleuze, Bergson, Merleau-Ponty: The Logics and Pragmatics of Creation, Affective Life, and Perception. Bloomington: Indiana University Press, 2021. 180 pp. Cloth, $63.00; paper, $28.00[End Page 152]Dorothea E. Olkowski's latest book carefully examines "the relationship between the creation of ideas and their actualization in relation to semiology, logic and (...) the cosmos in the philosophies of Deleuze, Bergson, and Merleau-Ponty." However, this work is neither an extensive or historical account of Deleuze's, Bergson's, and Merleau-Ponty's philosophies, nor an attempt to homogenize their views on space, time, or perception. Instead, it subtly compares their differences and similarities to move beyond metaphysical dualism, and fruitfully rethinks the relations between formal logic and ontology. Indeed, the author aims to draw a "theory of form," based on the logic of sensation, ultimately designed "to take the place of a theory of the real, of material physical forces."Chapter 1 retraces the history of postmodernist claims and their philosophical legacy. Olkowski explains that postmodernism is not first and foremost a political worldview or a debunking of objectivity in natural sciences. Instead, "it begins as a formal system or series of formal systems." Olkowski explores how Deleuze draws on the knowledge of modern science and logic (Bolzano, Cavaillès) and on Bergson's critical analysis of it to elaborate his logic of sensation. Bergson's conception of affectivity impacted Deleuze's and Merleau-Ponty's theories of corporeality and sensation, and their understanding of perception. Bergson's concept of "body image" specifically influenced Deleuze's elaboration of the concept of "movement-image," through which he tried to overcome the dichotomy set up by mind–body dualism.Chapter 2 focuses on Deleuze and Guattari's critique of logic as an attempt to find a third way between idealism and materialism and to overcome the disconnection between formal logic and lived experience. It reviews their critique of Euclidean geometry, their objections to formal logic as set out by Frege and Russell, and their assessment of phenomenology in order to eventually show Deleuze's affinity with Peirce's pragmatist approach. Then, the author aims to determine if Deleuze's attempt could be compatible with the phenomenology of Merleau-Ponty and Bergson's understanding of quality and multiplicity.Chapter 3 focuses on Bergson. Recalling the controversy with Russell, Einstein, and Langevin, Olkowski refers to Merleau-Ponty's defense of Bergson's concept of intuition to prove the accuracy of his reflection on creative forces and pure duration. As she explains, "[T]he intent here is to clarify the relations between these different aspects of Bergson's thought and draw out how Deleuze makes use of these structures derived from Bergson's philosophy." This leads her to explore, more specifically, how Deleuze reworks the concept of "multiplicity" along the lines of Bergson's analysis of the élan vital.In chapter 4 the author focuses on Deleuze's work on cinema to deepen the philosophical correlation between Bergson's concepts, Deleuze's analysis, and the influences of Merleau-Ponty and Pierce. It aims to rethink the relation between movement and time, notably through the notions of time-image and movement-image. Olkowski notably showcases Deleuze's concept of destiny, "which is the pure power of time that [End Page 153] overflows all possible reaction. It defeats, immobilizes, and petrifies figures in their own affectivity; it sends them to their fate, destroying conventions along the way. For Merleau-Ponty, as for Bergson, acts are still possible in a network of temporal relations so that motion and time are destiny but differently than for Deleuze."Chapter 5 addresses the Phenomenology of Perception and how Merleau-Ponty provides an opportunity to rethink perception. In this book and his Courses on Nature, Merleau-Ponty "does not dismiss either position—that of objective science or that of the natural attitude—but argues that although each contains an element of truth, it is perception and only perception that allows us to bridge the gap between physical reality and behavior/comportment." Deleuze will depart from... (shrink)

This article derives from a project attempting to show that Western formal logic, from Aristotle onward, has both been partially constituted by, and partially constitutive of, what has become known as racism. In the present article, I will first discuss, in light of Frege’s honorary role as founder of the philosophy of mathematics, Reuben Hersh’s What is Mathematics, Really? Second, I will explore how the infamous section of Frege’s 1924 diary (specifically the entries from March 10 to April 9) supports (...) Hersh's claim regarding the link between political conservatism and the (historically and currently) dominant school of the philosophy of mathematics (to which Frege undeniably belongs). Third, I will examine Frege’s attempt at a more reader-friendly introduction to his philosophy of mathematics, The Foundations of Arithmetic. And finally, I will briefly analyze Frege’s Begriffsschrift to see how questions of race arise even at the heights of his logical abstraction. (shrink)

Offering a collection of fifteen essays that deal with issues at the intersection of phenomenology, logic, and the philosophy of mathematics, this 2005 book is divided into three parts. Part I contains a general essay on Husserl's conception of science and logic, an essay of mathematics and transcendental phenomenology, and an essay on phenomenology and modern pure geometry. Part II is focused on Kurt Godel's interest in phenomenology. It explores Godel's ideas and also some work of Quine, Penelope Maddy and (...) Roger Penrose. Part III deals with elementary, constructive areas of mathematics. These are areas of mathematics that are closer to their origins in simple cognitive activities and in everyday experience. This part of the book contains essays on intuitionism, Hermann Weyl, the notion of constructive proof, Poincaré and Frege. (shrink)

Thomas A. Fay Heidegger and the Formalization of Thought 1 Dagfinn F011esdal The Justification of Logic and Mathematics in Husserl's Phenomenology 25 Guillermo E. Rosado Haddock On Husserl's Distinction between State of Affairs and Situation of Affairs.... 35 David Woodruff Smith On Situations and States of Affairs 49 Charles W. Harvey, Jaakko Hintikka Modalization and Modalities................... 59 Gilbert T. Null Remarks on Modalization and Modalities 79 J. N. Mohanty Husserl's Formalism 93 Carl J. Posy Mathematics as a Transcendental Science 107 (...) vi Gian-carlo Rota Mathematics and the Task of Phenomenology 133 John Scalon "Tertium Non Datur: " Husserl's Conception of a Definite Multiplicity..... 139 Thomas M. Seebohm Psychologism Revisited 149 Gerald J. Massey Some Reflections on Psychologism 183 Robert S. Tragesser How Mathematical Foundation all but come about: A Report on Studies Toward a Phenomenological Critique of Godel's Views on Mathematical Intuition.. 195 Kenneth L. Manders On Geometric Intentionality 215 Dallas Willard Sentences which are True in Virtue of their Color... 225 John J. Drummond Willard and Husserl on Logical Form 243 Index of Names 257 Index of Subjects 259 PREFACE The phenomenology of logic and ideal objects is the topic of Husserl's Logical Investigations. This book determined the early development of the so called phenomenological movement. It is still the main source for many phenomenologists, even if they disagree with Husserl's transcendental turn and developed other phenomenological positions or positions beyond phenomenology he early sense. (shrink)

Fifty years after the death of Edmund Husserl, the main founder of the phenomenological current of thought, we present to the public a four book collection showing in an unprecedented way how Husserl's aspiration to inspire the entire universe of knowledge and scholarship has now been realized. These volumes display for the first time the astounding expansion of phenomenological philosophy throughout the world and the enormous wealth and variety of ideas, insights, and approaches it has inspired. The basic (...) commitment to phenomenological concerns found in all this variety makes this collection a most signifi cant historical document. This second volume of the collection bears witness to a deliberate shift of attention from the earlier to the later phase of Husserl's reflections. We see how his issues - intersubjectivity, ethics, human encounter, the societal world, empathy, the sphere of the self, and the surpassing of dichotomies (bodylpsyche, etc.) - are now at the center of attention in the human sciences. Among the authors are H. Tellenbach, A. Rigobello, C. Balzer, C. Bjurvill, V. Molchanov, E. Syristova, O. Balaban, R. Boehm, M. Sancipriano, O. M. Anwar, Y. Okamoto, B. Holyst, T. Sodeika, and M. De Negri. The studies were gathered at the programs held by The World Institute for Advanced Phenomenological Research and Learning in the commemorative year 1988/1989, chiefly at the First World Congress of Phenomenology at Santiago de Compos tela, Spain, with the aim of assessing the current state of phenomenology. A-T. T. (shrink)

Theoria, Volume 87, Issue 1, Page 87-108, February 2021.

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Transcendental Phenomenology as Human Possibility: Husserl and Fink on the Phenomenologizing Subject by Denis DŽANIĆD. J. HobbsDŽANIĆ, Denis. Transcendental Phenomenology as Human Possibility: Husserl and Fink on the Phenomenologizing Subject. Cham: Springer, 2023. x + 236 pp. Cloth, $119.99Denis Džanić’s Transcendental Phenomenology as Human Possibility, despite its superficially historical focus on a specific period of collaboration between Edmund Husserl and his somewhat wayward protégé Eugen Fink, addresses key (...) systematic issues in transcendental phenomenology, namely, how the act of phenomenologizing should be understood in connection with the specific human beings who aim to become phenomenologists, and what the answer to this question tells us about both the genuine subject of phenomenology and the motivation for phenomenologizing. These questions are important for our understanding of not only the historical development of phenomenology but also the practice and goals of phenomenology—specifically, for a conception of phenomenologizing as a project in which we, as particular, historical, empirical figures, might want to engage.Much of the book focuses on laying the groundwork for understanding these complicated issues both historically and systematically. Džanić does an admirable job of tracing the rapidly evolving interactions between Husserl and Fink, both as intellectual collaborators on this philosophical project and as a pair of very human figures who ultimately found themselves pursuing quite different solutions to the problems of the subject and origin of phenomenology. He focuses particularly on the Sixth Cartesian Meditation, Fink’s attempt to extend Husserl’s famous text to include a phenomenology of the act of phenomenologizing itself (including Husserl’s marginal comments on the text), although he draws on a number of other significant texts and manuscripts (mostly Husserl’s, albeit with an extended aside on Heidegger) wherever they are helpful for explicating the complex evolution of Husserl’s thought on the subject. Admittedly, the book thus takes on a challenging task—both because of the difficult nature of this topic and because of the obscurity of the technical terms required to discuss it. However, despite the necessarily enigmatic character of the relevant language, Džanić’s attempts to explore the main outlines of this issue are worthwhile, particularly due to his ability to resist the temptation to view Husserl’s thought here as monolithic.In the early chapters, Džanić explicates in detail the rather complicated solution that Fink proposed to this difficulty, namely, the abandonment (to some extent) of the ultimately human origin of phenomenology in favor of a fundamentally nonhuman (and eventually meontic) conception of the transcendental ego, which generated a great deal of elaborate and (at least in the Sixth Meditation) inadequately supported speculation. For Fink, both the motivation to phenomenologize and the act of phenomenologizing itself ultimately stem from a source that is fundamentally prior to—in a(n onto)logical rather than temporal sense—any empirical ego or empirical act of phenomenologizing, a source that merely “enworlds” itself (in various complicated senses that Džanić does [End Page 145] an admirable job of clarifying) in the apparently anthropologistic, everyday world of individual phenomenologists. Džanić calls this interpretation of phenomenology Fink’s “epistemological anti-humanism,” and it serves as the basis for one potential (radically anti-Heideggerian but nevertheless somewhat disappointing) solution to the question of why we should phenomenologize at all. As Džanić notes, this solution was at least briefly taken up by Fink’s mentor Husserl himself, although the degree to which Husserl actually endorsed this path beyond the level of a fleeting flirtation remains questionable. Ultimately, as Džanić rightly highlights and as becomes abundantly clear in Husserl’s (often rather scathing) notes on Fink’s Sixth Cartesian Meditation, he abandoned this interpretation.Accordingly, in the later chapters of the book, Džanić traces Husserl’s ultimate development of a quite different solution to the problems of the origin and motivation of phenomenology—a solution that, unlike his brief foray into Finkian grandeur, views the act of phenomenologizing as essentially rooted in human possibility (that is, as part of the famous lifeworld that features so prominently in Husserl’s work, especially in the Crisis and other late texts). After his collaboration with and... (shrink)

RESUMEN Husserl se esforzò por desarrollar vías de abordaje a la fenomenología que facilitaran su expansión. En "La filosofía como ciencia estricta" traza un diagnóstico de los obstáculos en el entramado de naturalismo e historicismo, y estudia su lógica de construcción a través de tres tópicos: apelación al psicologismo como elemento del naturalismo, interpretación de Hume como protofenomenólogo y lectura historicista de Dilthey. Esto permitirá observar datos relevantes sobre el modo como Husserl concibe en este período la especificidad y alcances (...) de la fenomenología. ABSTRACT Husserl endeavored to develop approaches to phenomenology that would facilitate its expansion. In "Philosophy as Rigorous Science", he provides a diagnosis of the obstacles found in the interweaving of naturalism and historicism, and analyzes the logic of its construction by means of three themes: the appeal to psychologism as an element of naturalism, the interpretation of Hume as a proto-phenomenologist, and the historicist reading of Dilthey. This makes it possible to obtain relevant information regarding the manner in which Husserl conceived the specificity and scope of phenomenology during that period. (shrink)

We continue the work on the relations between independence logic and the model-theoretic analysis of independence, generalizing the results of [15] and [16] to the framework of abstract independence relations for an arbitrary AEC. We give a model-theoretic interpretation of the independence atom and characterize under which conditions we can prove a completeness result with respect to the deductive system that axiomatizes independence in team semantics and statistics.

Ryan Johnson and Biko Mandela Gray study the relationship between Hegel's Phenomenology of Spirit and Black Thought from Frederick Douglass to Angela Davis. This staging of an elongated dialectical parallelism between Hegel's classic text and major 19th-20th-century Black thinkers explodes the western canon of philosophy. Johnson and Mandela Gray show that Hegel's abstract dialectic is transformed and critiqued when put into conversation with the lived dialectics of Black Thought: from Frederick Douglass and Harriet Jacobs through to Malcolm X and Angela (...) Davis. While Hegel articulates the dynamic logics that we see in these Black thinkers, when they are placed in parallel and considered together, the whiteness, both explicit and implicit, of Hegelianism itself is revealed. Forcing Hegelianism into the embodied history of Black Thought reveals a phenomenology of America whose spirit is Black. (shrink)

ABSTRACT This paper seeks to clarify Husserl’s critical remarks about Kant’s view of logic by comparing their respective views of logic. In his Formal and Transcendental Logic Husserl criticizes Kant for not asking transcendental questions about formal logic, but rather ascribing an ‘extraordinary apriority’ to it. He thinks the reason for Kant’s uncritical attitude to logic lies in Kant’s view of logic as directed toward the subjective, instead of being concerned with a ‘“world” of ideal Objects’. Whereas for Kant, general (...) logic is about laws of reasoning. Husserl thinks that formal logic should describe formal structures. Husserl claims that if Kant had had a more comprehensive concept of logic, he would have thought of raising critical questions about how logic is possible. This kind of criticism cannot itself use forms of judgments or syllogisms of logic, nor even the ‘inferential’ [schliessende] method more generally, but should be descriptive in nature. Husserl's transcendental phenomenology is the method for such criticism. The paper argues that this results in reflection, and possibly revision, of the logical principles with respect to the normative goals governing the investigation in question. (shrink)

In this chapter we will investigate the nature of abstraction in detail, its entwinement with logical thinking, and the general role it plays for the mind. We find that non-logical capabilities are not only important for input processing, but also for output processing. Human beings jointly use analytic and embodied capacities for thinking and acting, where analytic thinking mirrors reflection and logic, and where abstraction is the form in which embodied thinking is revealed to us. We will follow (...) the philosophical analyses of Heidegger and Polanyi to elaborate the fundamental difference between abstraction and logics and how they come together in the mind. If computational approaches to mind are to be successful, they must be able to recognize meaningful and salient elements of a context and engage in abstraction. Computational minds must be able to imagine and volitionally blend abstractions as a way of recognizing gestalt contexts. And it must be able to discern the validity of these blendings in ways that, in humans, arise from a sensus communis. (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)

In this article the questions under discussion are the properties of Descartes’s application of the first rule of his method, which requires not to agree with anything that could give rise to doubt. It is well known that Descartes came to the conclusion that only the truth “I think, therefore I am” is undoubted. The article examines the logical status of this truth and reveals that it is an entimeme where the major premise is unstated. An analysis of Descartes’s (...) works shows that the premise that he does not explicitly express is the proposition “If I think, therefore I exist, and if I do not think, then I do not exist.” It follows that Descartes’ complete syllogism would be like this: “I exist if and only if I think; I think; therefore, I exist.” In this paper, the discussion focuses on the proof of the certainty of the position “I exist,” proposed by St Augustin in his treatise The City of God. St Augustin proves the proposition “I am deceived that I exist” to be false in every possible interpretation. Hence the position “I exist” is true in every possible interpretation. According to Descartes, the only undoubted statements are those that are kept within the limits of “I think,” or within the limits of inner experience, while the data of external experience are always dubious. Thus, the statement “I walk” is not obvious, since it can only seem to me that I am walking. At the same time, the judgment “It seems to me that I walk” is undoubtedly. Ancient sceptics also believed that the data of internal experience are doubtless, and the data of external experience are not due to the fact that all objects of the external world are in fact not what they seem to be. However, there is a significant difference between the ancient sceptical approach and that of Descartes. I put forward the view that the ancient sceptics, although they are convinced that the things of the external world are not what they seem, still surely believe that each item in that world exists. But Descartes surpassed both ancient sceptics and academics in their scepticism, since he doubted the very existence of the external world. He was able to imagine that he exists exclusively as a thinking entity with no body, no world around him, and no space to store that world. It is by the fact that Descartes doubts the existence of the external world that he has cleared the way for transcendental philosophy and phenomenology. (shrink)

Burt C. Hopkins presents the first in-depth study of the work of Edmund Husserl and Jacob Klein on the philosophical foundations of the logic of modern symbolic mathematics. Accounts of the philosophical origins of formalized concepts—especially mathematical concepts and the process of mathematical abstraction that generates them—have been paramount to the development of phenomenology. Both Husserl and Klein independently concluded that it is impossible to separate the historical origin of the thought that generates the basic concepts of mathematics from their (...) philosophical meanings. Hopkins explores how Husserl and Klein arrived at their conclusion and its philosophical implications for the modern project of formalizing all knowledge. (shrink)

The following problem is studied: How large and how small can the Löwenheim and Hanf numbers of unbounded logics be in relation to the most common large cardinals? The main result is that the Löwenheim number of the logic with the Härtig-quantifier can be consistently put in between any two of the first weakly inaccessible, the first weakly Mahlo, the first weakly compact, the first Ramsey, the first measurable and the first supercompact cardinals.

My concern in this paper is with the intentionality of emotions. Desires and cognitions are the traditional paradigm cases of intentional attitudes, and one very direct approach to the question of the intentionality of emotions is to treat it as sui generis—as on a par with the intentionality of desires and cognitions but in no way reducible to it. A more common approach seeks to reduce the intentionality of emotions to the intentionality of familiar intentional attitudes like desires and cognitions. (...) In this paper, I argue for the sui generis approach. (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)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:The Self and Its Body in Hegel’s Phenomenology of Spirit by John RussonRobert BermanJohn Russon. The Self and Its Body in Hegel’s Phenomenology of Spirit. Toronto: University of Toronto Press, 1997. Pp. xv + 199. Cloth, $60.00To intoduce his account of the human body, Russon places two epigraphs at the front of his book, one from Diogenes Laertius, the other from Artaud. The first tells of Zeno, seeking (...) the oracle’s counsel about how best to live and advised to “mix his flesh with corpses.” What sounds like a recommendation to practice necrophilia, Zeno cleverly interprets to mean that he ought to spend his life reading old books. The second likens culture to a new bodily organ, radicalizing Merleau-Ponty’s view that the blind man’s cane is an extension of his body. Diogenes’ anecdote and the surrealist’s aphorism extend the conception of the human body beyond its ordinary boundary. Literally, Artaud’s culture is no bodily organ, nor is Zeno’s hermeneutically active mind a body which, flouting the law, mixes with the corpus of ancient authors, and experiences, at one Phaedrus-like remove, forbidden pleasures of dialectics.If Russon is a Zenonic reader and Hegel an ancient, then his book enacts the oracle’s advice correctly spun. However, it is clear, despite its title, that this is not Russon’s only aim. At the outset Russon distinguishes his project from that of Hegel’s 1807 Phenomenology of Spirit (PS); whereas Hegel presents the experience of consciousness, Russon’s project is to develop a “phenomenology of the body” or “science of the embodiment of consciousness” (3), whose central concepts are the “three logical determinations of … phusis, hexis, and logos” (8). Despite this contrast, Russon claims to follow the method he takes Hegel to have adopted in PS, intending “by rigorous argument to comprehend … the human body” (3), to “display the self-development of the internal dynamism of the concept of the body” (4). Yet, while initially insisting on the difference between his and Hegel’s projects, he actually holds that PS is “implicitly” such a phenomenology of the body; hence, he wants to extract from it “the philosophy of the body that is there implied” (3) and to show how it rationally comprehends human embodiment. If making the implicit explicit describes the work of interpretation, then his book is as much an essay in Hegel interpretation as it is a self-standing phenomenology of the body. Russon mixes his interpretive with his Hegelian systematic aim, but these are distinct, and he grants the latter priority. If one rejects his interpretive claim about Hegel’s project, Russon’s systematic claims about the body should remain unaffected, and assessable in their own right, even if not implicit in PS. What are these claims?Russon’s central gambit is to understand the human body in terms of embodiment, and embodiment in turn via the activities of the self-conscious self. Since he argues that these activities essentially involve recognition, thus are inherently social, the “whole [End Page 636] functioning world of social, cultural life will have to be recognized as the body of the properly human self,” while the natural body “of mere human life” is “not yet the body of the human proper” (9). Accordingly, Russon organizes his systematic claims about the human body into three parts: A. treats propaedeutically the “Hegelian concept of self-conscious selfhood” (8), B. handles the body as social institution; and C. deals with the culminating “absolution of the body” in which the self knows itself in its embodiment as self-conscious self.Russon’s project prompts questions about his Hegel interpretation and his conception of the human body. PS is skeptical, but preparatory: its immanent critique of interrelated knowledge claims serves to expose and undermine the principle of the opposition of consciousness which they assume; acceptance of that principle, Hegel argues, is the chief obstacle blocking the way to systematic philosophical knowledge, precisely because it leaves philosophy defenseless against skeptical challenges to the very possibility of such knowledge. This construal of PS conflicts with Russon’s interpretive claim that it is implicitly a science of the... (shrink)

ABSTRACT The phenomenological vision, particularly, Husserl’s idea of critique as an infinite vocational theoria and Patočka’s as an enduring programme, view Platonic logic and Socratic act as the paradigms for a normative justification of the idea of universal science and philosophy. In light of that, the Thrasymachus-Socrates debate is interpreted as a case to testify the critical power of philosophy successfully exercised over sophistic tyrannical non-philosophy. This paper criticizes the phenomenological idealization of the Socratic victory as an ethico-teleologically (...) anticipated success of philosophy and rewrites the defeat of Thrasymachus as a political failure in warring with philosophy during which Thrasymachus questions the legitimacy of the act of philosophizing to decide its legitimacy and thereby exposes the politics played out in that act. (shrink)