Towards completeness: Husserl on theories of manifolds 1890–1901

Husserl’s notion of definiteness, i.e., completeness is crucial to understanding Husserl’s view of logic, and consequently several related philosophical views, such as his argument against psychologism, his notion of ideality, and his view of formal ontology. Initially Husserl developed the notion of definiteness to clarify Hermann Hankel’s ‘principle of permanence’. One of the first attempts at formulating definiteness can be found in the Philosophy of Arithmetic, where definiteness serves the purpose of the modern notion of ‘soundness’ and leads Husserl to a ‘computational’ view of logic. Inspired by Gauss and Grassmann Husserl then undertakes a further investigation of theories of manifolds. When Husserl subsequently renounces psychologism and changes his view of logic, his idea of definiteness also develops. The notion of definiteness is discussed most extensively in the pair of lectures Husserl gave in front of the mathematical society in Göttingen (1901). A detailed analysis of the lectures, together with an elaboration of Husserl’s lectures on logic beginning in 1895, shows that Husserl meant by definiteness what is today called ‘categoricity’. In so doing Husserl was not doing anything particularly original; since Dedekind’s ‘Was sind und sollen die Zahlen’ (1888) the notion was ‘in the air’. It also characterizes Hilbert’s (1900) notion of completeness. In the end, Husserl’s view of definiteness is discussed in light of Gödel’s (1931) incompleteness results.     

Husserl on Geometry and Spatial Representation

Husserl left many unpublished drafts explaining (or trying to) his views on spatial representation and geometry, such as, particularly, those collected in the second part of Studien zur Arithmetik und Geometrie (Hua XXI), but no completely articulate work on the subject. In this paper, I put forward an interpretation of what those views might have been. Husserl, I claim, distinguished among different conceptions of space, the space of perception (constituted from sensorial data by intentionally motivated psychic functions), that of physical geometry (or idealized perceptual space), the space of the mathematical science of physical nature (in which science, not only raw perception has a word) and the abstract spaces of mathematics (free creations of the mathematical mind), each of them with its peculiar geometrical structure. Perceptual space is proto-Euclidean and the space of physical geometry Euclidean, but mathematical physics, Husserl allowed, may find it convenient to represent physical space with a non-Euclidean structure. Mathematical spaces, on their turn, can be endowed, he thinks, with any geometry mathematicians may find interesting. Many other related questions are addressed here, in particular those concerning the a priori or a posteriori character of the many geometric features of perceptual space (bearing in mind that there are at least two different notions of a priori in Husserl, which we may call the conceptual and the transcendental a priori). I conclude with an overview of Weyl’s ideas on the matter, since his philosophical conceptions are often traceable back to his former master, Husserl.     

Motivating Empathy: The Problem of Bodily Similarity in Husserl’s Theory of Empathy

Husserl’s theory of empathy plays a crucial role in his transcendental phenomenology and has ever since been critically examined. Among various critiques leveled at Husserl, the issue of bodily similarity between oneself and the other lies at the core, not only because Husserl conceives of it as the motivating factor of empathy but also because his account of it has been taken to be problematic. In this article, I review a main interpretation of the issue of bodily similarity in Husserl, which takes the bodily similarity in question to be a visual resemblance between oneself and the other. By contrast, I give a new interpretation of bodily similarity by taking into account Husserl’s emphasis on tactual experience with regard to the constitution of one’s own lived body and the foreign body. I argue that the bodily similarity in question amounts to a similar manner of twofold bodily manifestation in oneself and the other, and I also suggest that this interpretation further enables a new understanding of interpersonal relation in Husserl.     

Der Begriff der „Bekundung“ bei Husserl und Heidegger

The article intends to explore the extension of several Husserlian concepts and issues in Heidegger’s first lectures of the 1920s. To this extent it focuses especially on the concept of Bekundung (intimation), exposed by Husserl in the second book of his Ideas, and also discussed by Heidegger in his Freiburg lecture Grundprobleme der Phänomenologie (WS 1919/20). By following this concept both in Husserl’s theory of the constitution of materiality and causal reality, as well as in his discussion of the personal self, and by pointing out the tensions between the two perspectives, we will try to show that Heidegger’s use of the term can in several aspects be seen as an attempt to solve certain difficulties of the Husserlian perspective. Thus, we wish to sketch out a part of that complex network of continuities and differences that constitute the “common ground” of the two thinkers in the early 1920s.     

Husserl's Logical Grammar

Lecture notes from Husserl's logic lectures published during the last 20 years offer a much better insight into his doctrine of the forms of meaning than does the fourth Logical Investigation or any other work published during Husserl's lifetime. This paper provides a detailed reconstruction, based on all the sources now available, of Husserl's system of logical grammar. After having explained the notion of meaning that Husserl assumes in his later logic lectures as well as the notion of form of meaning as it features in ‘doctrine of the forms of meaning’, I present a system of rules that describes all the various forms of meaning that Husserl singles out in his lectures.     

Seeing Meaning: Frege and Derrida on Ideality and the Limits of Husserlian Intuitionism

The article seeks to challenge the standard accounts of how to view the difference between Husserl and Frege on the nature of ideal objects and meanings. It does so partly by using Derrida’s deconstructive reading of Husserl to open up a critical space where the two approaches can be confronted in a new way. Frege’s criticism of Husserl’s philosophy of mathematics (that it was essentially psychologistic) was partly overcome by the program of transcendental phenomenology. But the original challenge to the prospect of a fulfilled intuition of idealities remained and was in fact encountered again from within the transcendental analysis by Husserl himself in his last writings on geometry and language. According to the two standard and conflicting accounts, Husserl either changed his earlier psychologistic program as a result of Frege’s criticism, or he was in fact never challenged by it in the first place. The article shows instead how Husserl continued to struggle with the problem of the constitution of ideal objects, and how his quest led him to a point where his analyses anticipate a more dialectical and deconstructive conclusion, eventually made explicit by Derrida. It also shows not only how this development constitutes a philosophical continuity from the original dispute with Frege, but also how Frege’s critique in a certain respect could be read as an anticipation of Derrida’s deconstructive elaboration of Husserl’s phenomenology.     

The Marginality of Phenomenology

The essence of Husserl’s intentionality does not lie in any object, but in the marginal horizon presupposed by intentional acts. This characteristic can be seen whether on the level of intensional act or that of noema (intentional object). The reason is that all intentional act and noema come from the stream of internal time consciousness, and thus have Zeithof (time halo or time aureole), while the original meaning constituted by such a halo is prior to the object they are concretized into, and the noema that contains the possibility of meaning will also be intuited together with the perceived adumbration. Using Husserl’s idea that the meaning of non-objectification is prior to the object, Scheler breaks through Husserl’s dogma that the presentation of an object must precede the giving of value to the object, and thus puts forward the new train of thought that the feeling of value is not later than the objectification, or even prior to it. Heidegger deepens and expands the sense of the marginal horizon, revealing in all human behaviors and world presentation such an ontological structure, that is, halo-like meaning or the act of Being itself precedes objects and beings created by the separation of subject and object. Maurice Merleau-Ponty states that the body field is prior to the separation of body and mind, and the body’s perception of external phenomena is first carried out in the manner of field rather than definite objects, therefore, it must have the original ambiguity and be realized in the form of body schema instead of a causal chain. So, the philosophical vitality of phenomenology does not significantly lie in the explanation of the levels and functions of intentional objects, but in the construction premise of such objects, namely, the spatio-temporal halo manifested as marginal horizon, time stream, and the displaying of existential vista.     

Depth perception by the active observer

The connection between perception and action has classically been studied in one direction only: the effect of perception on subsequent action. Although our actions can modify our perceptions externally, by modifying the world or our view of it, it has recently become clear that even without this external feedback the preparation and execution of a variety of motor actions can have an effect on three-dimensional perceptual processes. Here, we review the ways in which an observer's motor actions--locomotion, head and eye movements, and object manipulation--affect his or her perception and representation of three-dimensional objects and space. Allowing observers to act can drastically change the way they perceive the third dimension, as well as how scientists view depth perception.     

Husserl on Perception: A Nonrepresentationalism That Nearly Was

There is a longstanding debate among Husserl scholars about whether Husserl thinks perception involves mental representation. The debate, I believe, has not been settled. I deny that the existentialist‐inspired charge of representationalism about perception in Husserl is precise enough to stick. Given a clearer understanding of just what mental representation amounts to, I contend that those who defend Husserl against the accusation of representationalism fare little better than Husserl's existentialist‐leaning critics. I argue that he is in fact a representationalist about perception insofar as it involves a noematic sense. Nevertheless, Husserl opens up the possibility for a representation‐free form of perceiving in certain later discussions of the matter in which he suggests that some perceptual states lack noematic sense. What they lack in noematic sense is compensated for by other means, namely, by two sorts of affect and their functional interrelation with abilities for bodily movement. The texts that entertain this possibility, though, severely limit the scope of its actual occurrence. Husserl never commits to a generally or substantially nonrepresentational view of perception. I attempt to sketch out, however, what this nonrepresentationalism about perception that Husserl nearly landed on might look like, rearranging various more or less familiar elements already present in his theory of perception to that end.     

从“幻影”到“器官”:胡塞尔C手稿中的身体构造学说

自梅洛-庞蒂在《知觉现象学》中对身体所作的卓越分析以来,身体已经成为现象学研究中的核心概念之一。今天,它已经越出了它所从出的领域,正在为人文科学、社会科学乃至自然科学带来新的视角,注入新的动力,例如,我们既可以看到以现象学意义上的身体概念为基础或受其启发     

From Adequacy to Apodicticity. Development of the Notion of Reflection in Husserl’s Phenomenology

The article explores a gradual refinement of the notion of reflection in Husserlian phenomenology. In his early period, Husserl takes phenomenological reflection to attain adequate evidence, since its object is self-given in an absolute and complete manner. However, this conception of reflection does not remain unchanged. Husserl later realizes that immanent perception or phenomenological reflection also involves a certain horizonality and naivety that has to do with its temporal nature and must be queried in a further critical, apodictic reflection. Focusing more on the notion of apodicticity than adequacy, Husserl subsequently ascribes a new methodological role to reflection: instead of a mere epistemic warrant that guarantees for us the ultimate truth of our experiential life once and for all, phenomenological reflection ensures the strictness of phenomenology insofar as it entails an ethical-existential dimension as the norm of a life-form where the subject pursues full self-understanding and self-justification.     

Husserl’s Way to Authentic Being

In a journal entry from 1906, Husserl complains of lacking “internal stability” and of his desire to “achieve” it. My claim in this paper is that the “phenomenological method,” which he made public in his 1907 lectures Die Idee der Phänomenologie was, and is, a means to achieve the inner harmony that Husserl longed for. I do not provide an analysis of why Husserl might have felt the way he did; my aim is to show what internal stability might be and how one might achieve it. I conclude that the phenomenological method is the means, the “how,” to internal stability, which I characterize as “clarity” and “harmony” regarding our beliefs and, and ultimately, our authentic comportment.     

Voluntary head movement and allocentric perception of space

Although visual input is egocentric, at least some visual perceptions and representations are allocentric, that is, independent of the observer's vantage point or motion. Three experiments investigated the visual perception of three-dimensional object motion during voluntary and involuntary motion in human subjects. The results show that the motor command contributes to the objective perception of space: Observers are more likely to apply, consciously and unconsciously, spatial criteria relative to an allocentric frame of reference when they are executing voluntary head movements than while they are undergoing similar involuntary displacements (which lead to a more egocentric bias). Furthermore, details of the motor command are crucial to spatial vision, as allocentric bias decreases or disappears when self-motion and motor command do not match.     

Phenomenology as Critique: Teleological–Historical Reflection and Husserl’s Transcendental Eidetics

Many have deemed ineluctable the tension between Husserl’s transcendental eidetics and his Crisis method of historical reflection. In this paper, I argue that this tension is an apparent one. I contend that dissolving this tension and showing not only the possibility, but also the necessity of the successful collaboration between these two apparently irreconcilable methods guarantees the very freedom of inquiry Husserl so emphatically stressed. To make this case, I draw from Husserl’s synthetic analyses of type and concept constitution as well as his later work on sedimentation and streaming-in and develop a richer modal taxonomy than the one Husserl proposed. I employ this taxonomy in an examination of the structures and conditions for the possibility of transcendental eidetic variation in order to show this method’s reliance on historically sedimented epistemic and normative resources. This reliance brings to light the necessity for a methodological critique, which is precisely what I take to be the work of teleological–historical reflection as Husserl comes to conceive it in the Crisis.     

Explicating the Key Notions of Copresence and Verification in Relation to Husserl’s Use of the Term Direct to Describe Empathy

Zahavi and Gallagher’s contemporary direct perception model of intersubjectivity has its roots in the phenomenological project of Edmund Husserl. Some authors (Smith in Philos Phenomenol Res 81(3):731–748, 2010; Krueger in Phenomenol Cogn Sci 11:149–173, 2012; Bohl and Gangopadhyay in Philos Explor 17(2):203–222, 2014) have utilised, and criticised, Husserl’s model of direct empathic perception. This essay seeks to correct certain misunderstandings of Husserl notion of direct empathic perception and thus, by proxy, clarify the contemporary direct perception model, through an exegesis of Husserlian texts. In the first half of this essay I clarify the analogy between the directness of regular material object perception and the directness of empathic perception via a clarification of Husserl’s notion of co-presence. I argue that contemporary renditions of Husserl’s account which stress the dis-analogy between these two types of perception (Smith 2010; Krueger 2012) are based on a superficial and incorrect rendering of Husserl’s notion of co-presence. In the second half of this essay I clarify the notion of verification. I argue that, for Husserl, behaviour does not verify mental life. Instead, empathic verification occurs via the relation between concepts and intuitions. In my conclusions I show how contemporary authors misunderstand the fundamental nature of Husserl’s account of empathy because of the downgraded status of psychic life within contemporary cognitive science.     

Husserl and externalism

It is argued that Husserl was an “externalist” in at least one sense. For it is argued that Husserl held that genuinely perceptual experiences—that is to say, experiences that are of some real object in the world—differ intrinsically, essentially and as a kind from any hallucinatory experiences. There is, therefore, no neutral “content” that such perceptual experiences share with hallucinations, differing from them only over whether some additional non-psychological condition holds or not. In short, it is argued that Husserl was a “disjunctivist”. In addition, it is argued that Husserl held that the individual object of any experience, perceptual or hallucinatory, is essential to and partly constitutive of that experience. The argument focuses on three aspects of Husserl’s thought: his account of intentional objects, his notion of horizon, and his account of reality.     

The Freedom of Thought: Patočka on Descartes and Husserl

Pato?ka highlights the central role of Cartesianism in our tradition of thinking. Yet, today, brain scientists often claim to have overcome Cartesian dualism. In this paper, I argue that the Cartesian conceptions of human nature and sensory perception remain presuppositions of brain science, where perception is largely equated with thinking. Equating perception and thinking means that thinking is a determined process, which leads to an erosion of critique. Critique, and the freedom of thought it entails, is essential to Descartes, Husserl and Pato?ka. I examine the differences, as well as the relationship, between Descartes method of doubt, Husserl’s phenomenological epochē and Pato?ka’s universalization of the epochē. I also show how Descartes’, Husserl’s and Pato?ka’s way into critique present different ways to understand self, things and the world. In conclusion, I suggest that Pato?ka presents a promising way to critique mechanistic understandings of thinking by rethinking both subject and object.