The goal of this paper is to connect Rota's discussion of the Husserlian notion of Fundierung with Rota's project of giving combinatorics a foundation in his 1964 paper ‘On the foundations of combinatorial theory I’. Section 2 gives the basic tenets of this seminal paper. Sections 3 and 4 spell out the connections made there between Rota's philosophical writings and his mathematical achievements. Section 5 shows how these two developments fit into Rota's analysis of the place of combinatorics in mathematics.

This is the most comprehensive book ever published on philosophical methodology. A team of thirty-eight of the world's leading philosophers present original essays on various aspects of how philosophy should be and is done. The first part is devoted to broad traditions and approaches to philosophical methodology. The entries in the second part address topics in philosophical methodology, such as intuitions, conceptual analysis, and transcendental arguments. The third part of the book is devoted to essays about the interconnections between philosophy (...) and neighbouring fields, including those of mathematics, psychology, literature and film, and neuroscience. (shrink)

This monograph offers a fresh perspective on the applicability of mathematics in science. It explores what mathematics must be so that its applications to the empirical world do not constitute a mystery. In the process, readers are presented with a new version of mathematical structuralism. The author details a philosophy of mathematics in which the problem of its applicability, particularly in physics, in all its forms can be explained and justified. Chapters cover: mathematics as a formal science, mathematical ontology: what (...) does it mean to exist, mathematical structures: what are they and how do we know them, how different layers of mathematical structuring relate to each other and to perceptual structures, and how to use mathematics to find out how the world is. The book simultaneously develops along two lines, both inspired and enlightened by Edmund Husserl’s phenomenological philosophy. One line leads to the establishment of a particular version of mathematical structuralism, free of “naturalist” and empiricist bias. The other leads to a logical-epistemological explanation and justification of the applicability of mathematics carried out within a unique structuralist perspective. This second line points to the “unreasonable” effectiveness of mathematics in physics as a means of representation, a tool, and a source of not always logically justified but useful and effective heuristic strategies. (shrink)

Combines phenomenology with the "enactivist" approach to consciousness theory and recent emotion research to explore the way self-motivated action plans shape selective attention, exploration, and ultimately the mind's interpretation of reality - in philosophy, psychology, cultural awareness, and our personal lives.

It is well-known that in the fifth of his Cartesian Meditations, Husserl puts forth a theory of intersubjectivity. Most commentators of Husserl have read his Cartesian Meditations as presenting a theory of intersubjectivity whose basis is empathy, in the form of a process of constituting the sense of “other” in one’s own experience, as the primary origin of the intersubjective layer of experience. In this paper, I claim that the structure of intersubjectivity as Husserl presents it in the Cartesian Meditations (...) is articulated as being governed by a logic of parts and wholes rather than that of a phenomenology of empathy, and that the articulation of this logic demonstrates that the transcendental ego is intrinsically intersubjective. My main philosophical claim in this regard is that the way Husserl’s account of transcendental empathy unfolds in the Cartesian Meditations implies a prior fundamental mereological structure of which the individual transcendental ego is only a part. That is, the transcendental ego has an eidetic a-priori intersubjective structure, in the sense of being a moment of an intersubjectively structured transcendental whole. In this sense, rather than being a singulare tantum, it is more fitting to say that transcendental subjectivity is actually a plurale tantum. (shrink)

What are intuitions? According to doxastic views, they are doxastic attitudes or dispositions, such as judgments or inclinations to make judgments. According to perceptualist views, they are—like perceptual experiences—pre-doxastic experiences that—unlike perceptual experiences—represent abstract matters as being a certain way. In this paper I argue against doxasticism and in favor of perceptualism. I describe two features that militate against doxasticist views of perception itself: perception is belief-independent and perception is presentational. Then I argue that intuitions also have both features. The (...) upshot is that intuitions are importantly similar to perceptual experiences, and so should not be identified with doxastic attitudes or dispositions. I consider a popular argument from the introspective absence of sui generis intuition experiences in favor of doxasticism. I develop a conception of intuition experiences that helps to defuse this argument. (shrink)

In 1999, Dan Zahavi’s Self Awareness and Alterity: A Phenomenological Investigation initiated a critique of the standard interpretation of the distinction between the second and third levels of Husserl’s analysis of time-constituting consciousness. At stake was the possibility of a coherent account of self-awareness (Zahavi’s concern), but also the possibility of prereflectively distinguishing the acts of consciousness (Brough and Sokolowski’s rebuttal of Zahavi’s critique). Using insights gained from Husserl’s Analyses Concerning Passive Synthesis rather than the work on time-consciousness, this paper (...) provides a new, more precise vocabulary in which to carry on the debate, in the hopes of bringing it to a mutually satisfactory resolution. After briefly laying out the terms of the Zahavi–Brough/Sokolowski debate (Sect. 2), I then elaborate a three-fold distinction in consciousness from the Analyses (Sect. 3) and relate that back to the issue of objectivity in the debate (Sect. 4). I end by suggesting how this three-fold model from the Analyses helps us preserve the essentially tripartite structure (as Brough and Sokolowski insist we do) while not making one of these levels the object of another (in keeping with Zahavi’s critique) (Sect. 5). (shrink)

This work investigates intuitions' nature, demonstrating how philosophers can best use them in epistemology. First, the author considers several paradigmatic thought experiments in epistemology that depict the appeal to intuition. He then argues that the nature of thought experiment-generated intuitions is not best explained by an a priori Platonism. Second, the book instead develops and argues for a thin conception of epistemic intuitions. The account maintains that intuition is neither a priori nor a posteriori but multi-dimensional. It is an intentional (...) but non-propositional mental state that is also non-conceptual and non-phenomenal in nature. Moreover, this state is individuated by its progenitor, namely, the relevant thought experiment. Third, the author provides an argument for the evidential status of intuitions based on the correct account of the nature of epistemic intuition. The suggestion is the fitting-ness approach: intuition alone has no epistemic status. Rather, intuition has evidentiary value as long as it fits well with other pieces into a whole, namely, the pertinent thought experiment. Finally, the book addresses the key challenges raised by supporters of anti-centrality, according to which philosophers do not regard intuition as central evidence in philosophy. To that end, the author responds to them, showing that they fail to affect the account of intuition developed in this book. This text appeals to students and researchers working in epistemology. (shrink)

The essay constructs an ontological theory designed to capture the categories instantiated in those portions or levels of reality which are captured in our common sense conceptual scheme. It takes as its starting point an Aristotelian ontology of “substances” and “accidents”, which are treated via the instruments of mereology and topology. The theory recognizes not only individual parts of substances and accidents, including the internal and external boundaries of these, but also universal parts, such as the “humanity” which is an (...) essential part of both Tom and Dick, and also “individual relations”, such as Tom’s promise to Dick, or their current handshake. (shrink)

In this paper, I argue that the indirect realists’ recourse to mental representations does not allow them to account for the possibility of hallucination, nor for the presentational character of visual experience. To account for the presentational character, I suggest a kind of intentionalism that is based on the interdependency between the perceived object and the embodied perceiver. This approach provides a positive account to the effect that genuine perception and hallucination are different kinds of states. Finally, I offer a (...) tentative suggestion as to how a hallucinatory experience may still be mistaken for a genuine perceptual experience. (shrink)

The paper explores the distinction between two doctrines, both of which inform theory construction in much of modern cognitive psychology: the representational theory of mind and the computational theory of mind. According to the former, propositional attitudes are to be construed as relations that organisms bear to mental representations. According to the latter, mental processes have access only to formal (nonsemantic) properties of the mental representations over which they are defined.The following claims are defended: (1) That the traditional dispute between (...) “rational” and “naturalistic” psychology is plausibly viewed as an argument about the status of the computational theory of mind. Rational psychologists accept a formality condition on the specification of mental processes; naturalists do not. (2) That to accept the formality condition is to endorse a version of methodological solipsism. (3) That the acceptance of some such condition is warranted, at least for that part of psychology which concerns itself with theories of the mental causation of behavior. This is because: (4) such theories require nontransparent taxonomies of mental states; and (5) nontransparent taxonomies individuate mental states without reference to their semantic properties. Equivalently, (6) nontransparent taxonomies respect the way that the organism represents the object of its propositional attitudes toitself, and it is this representation which functions in the causation of behavior.The final section of the paper considers the prospect for a naturalistic psychology: one which defines its generalizations over relations between mental representations and their environmental causes, thus seeking to account for the semantic properties of propositional attitudes. Two related arguments are proposed, both leading to the conclusion that no such research strategy is likely to prove fruitful. (shrink)

The paper explores the distinction between two doctrines, both of which inform theory construction in much of modern cognitive psychology: the representational theory of mind and the computational theory of mind. According to the former, propositional attitudes are to be construed as relations that organisms bear to mental representations. According to the latter, mental processes have access only to formal (nonsemantic) properties of the mental representations over which they are defined.The following claims are defended: (1) That the traditional dispute between (...) “rational” and “naturalistic” psychology is plausibly viewed as an argument about the status of the computational theory of mind. Rational psychologists accept a formality condition on the specification of mental processes; naturalists do not. (2) That to accept the formality condition is to endorse a version of methodological solipsism. (3) That the acceptance of some such condition is warranted, at least for that part of psychology which concerns itself with theories of the mental causation of behavior. This is because: (4) such theories require nontransparent taxonomies of mental states; and (5) nontransparent taxonomies individuate mental states without reference to their semantic properties. Equivalently, (6) nontransparent taxonomies respect the way that the organism represents the object of its propositional attitudes toitself, and it is this representation which functions in the causation of behavior.The final section of the paper considers the prospect for a naturalistic psychology: one which defines its generalizations over relations between mental representations and their environmental causes, thus seeking to account for the semantic properties of propositional attitudes. Two related arguments are proposed, both leading to the conclusion that no such research strategy is likely to prove fruitful. (shrink)

In this paper, I contend that there are at least two essential traits that commonly define being an I: self-identity and self-consciousness. I argue that they bear quite an odd relation to each other in the sense that self-consciousness seems to jeopardize self-identity. My main concern is to elucidate this issue within the range of the transcendental philosophies of Immanuel Kant and Edmund Husserl. In the first section, I shall briefly consider Kant’s own rendition of the problem of the Egosplitting. (...) My reading of the Kantian texts reveals that Kant himself was aware of this phenomenon but eventually deems it an unexplainable fact. The second part of the paper tackles the same problematic from the standpoint of Husserlian phenomenology. What Husserl’s extensive analyses on this topic bring to light is that the phenomenon of the Ego-splitting constitutes the bedrock not only of his thought but also of every philosophy that works within the framework of transcendental thinking. (shrink)

The aim of this paper is to present an outline of a phenomenological theory of thought experiments. In doing so, I am dealing with a topic that is currently starting to receive increased attention from philosophers with phenomenological leanings. However, since no serious attempt has been made to tackle the issue in a systematic fashion, I will not merely review existing phenomenological work on thought experiments. For the most part, my paper is programmatic: its aim is to suggest some basic (...) directions in which a phenomenological theory of scientific thought experiments should be developed. (shrink)

Phenomenology is considered a philosophy of experience. But in the wake of French post-structuralism beginning in the 1970s, the concept of experience within phenomenology has fallen under heavy critique. Even today, in the context of feminist philosophy the phenomenological concept of experience has yet to recover from the poststructuralist critique. In this article, I will closely examine the poststructuralist critique of the concept of experience within the context of feminist theory. I will thereby refer first and foremost to the poststructuralist (...) theorist Joan Scott, and her influential text “'Experience'”. In my examination of the poststructuralist critique of experience, the leading question will be whether or not this critique, down to its details, can in fact be applied to phenomenology. My thesis is that phenomenology is able to withstand the poststructuralist critique of experience. Further, I will argue that post-structuralism and phenomenology have more in common as regards the concept of experience than is usually admitted. For several reasons, it seems - as I will maintain - that both poststructuralist feminism and phenomenology are equally interested in a strong concept of experience and thus do not promote doing away with the concept. (shrink)

This essay analyzes the educational significance of the metaphysical novel, that is, how it can be used to educate ourselves and our students. Mordechai Gordon begins by describing the nature of the metaphysical novel while contrasting it to “pure” philosophy and theory building. Gordon also situates Beauvoir’s insights in the broader context of the ongoing conversation on philosophy and literature. In the next part, he examines Beauvoir’s philosophy of lived experience and compare her philosophical approach to more traditional phenomenological theories. (...) From the analysis of Beauvoir’s philosophy of lived experience, Gordon turns to explore the role that ambiguity, contingency, and complexity play in helping us make sense of people’s lives while drawing on examples from several metaphysical novels to illustrate these notions. He concludes this essay by reflecting on the question: what can the study of metaphysical novels bring to philosophy of education? (shrink)

Friends of states of affairs and structural universals appeal to a relation, structure-making, that is allegedly a kind of composition relation: structure-making ?builds? facts out of particulars and universals, and ?builds? structural universals out of unstructured universals. D. M. Armstrong, an eminent champion of structures, endorses two interesting theses concerning composition. First, that structure-making is a composition relation. Second, that it is not the only (fundamental) composition relation: Armstrong also believes in a mode of composition that he calls mereological, and (...) which he takes to be the only kind of composition recognized by his philosophical adversaries, such as David Lewis. Armstrong, accordingly, is a kind of pluralist about compositional relations: there is more than one way to make wholes from parts. In this paper, I critically evaluate Armstrong's compositional pluralism. (shrink)

Abstract: In this article I intend to highlight how the relationship between the psychic ego (seelischen Ich) and the spiritual ego (geistige Ich) is fundamental to the understanding of intersubjectivity and the lifeworld (Lebenswelt). In Ideas II, Husserl explains how, from the ego, natural, psychic and spiritual objectivities are constituted. These three strata of objectivity are known, first, in the theoretical attitude and, second, in the spiritual attitude. In this process, the ego becomes explicit. In the theoretical attitude, the constitution (...) of nature takes place, for which the body (Körper/Leib) is fundamental. This is followed by the constitution of objects of psychic nature, human or animal (tierisch), including self-perception. In assuming the spiritual attitude, the other is perceived (Urpräsenz) initially as a body together with things, and alongside this perception there is an apprehension (Appräsenz) of co-given horizons. There is an identity between the body of others and mine; it is the moment of empathy (Einfühlung). The scientific world constituted in the theoretical attitude is a reduction of the surrounding world (Umwelt) – the lifeworld (Lebenswelt). This lifeworld is the world of spiritual attitude and precedes any comprehension or explanation of the world. It is therefore through the spiritual attitude that a community of spiritual subjects is constituted and constitutes the lifeworld. Keywords: Husserl, Psyche, Spirit, Intersubjectivity, Lifeworld. (shrink)

This essay offers a new reading of Heidegger’s early “formally indicative” view of religious life as a broad critique of popular representations of religious life in the human sciences and public discourse. While it has frequently been understood that Heidegger’s work aims at the “enactment” of religious life, the logic and implications of this have been rather unclear to most readers. Presenting that logic, I argue that Heidegger’s point parallels that of Alfred Schutz in suggesting that typical academic discussions of (...) religion constitute a determinate, deficient way of relating to religious individuals and groups and their concerns. Those concerns appear to the researcher herself in a way that they would not if the theorist were actually entertaining them as states of affairs in the real world, leading her to attribute beliefs to a hypothetical “nobody.” Heidegger’s early notion of formal indication explains the logic behind our lack of “realism” toward certain topics of research, and his comments on the study of religious life are a paradigm case for the descriptive fallacies that phenomenology can help to address. (shrink)

E. Husserl’s reflections in Logical Investigations on “intentional feelings” and “non-intentional feelings” are significant in both his later ethical explorations and M. Scheler’s thought on ethics. Through the incorporation of the views of Husserl and Scheler, we find that the phenomenology of the intentional feeling-acts is not only the foundation of the non-formal ethics of values in Scheler’s phenomenology, but also at least the constitutive foundation of the ethics of Husserl’s first orientation.

Confucianism can be analyzed at three levels of ideas: life as existence (Sein) itself; the Confucian metaphysics about metaphysical beings; and the Confucian doctrines about tangible existences. In the eyes of Confucians, life itself is displayed as the feeling of benevolence in the first place. To reconstruct Confucianism is to return to life and perceive it as a fundamental source. That means to historically return to the original Confucianism during and even before the Axial Period, in essence it is to (...) simultaneously return to our immediate life itself, and then on this basis to reconstruct both Confucian metaphysics and Confucian doctrines about tangible existences. (shrink)

I show how existing concepts of supervenience relate to two more fundamental ontological relations: determination and dependence. Determination says that the supervenient properties of a thing are a function of its base properties, while dependence says that having a supervenient property implies having a base property. I show that most varieties of supervenience are either determination relations or determination relations conjoined with dependence relations. In the process of unpacking these connections I identify limitations of existing concepts of supervenience and provide (...) ways of overcoming them. What results is a more precise, flexible, and powerful set of tools for relating sets of properties than current concepts of supervenience provide. I apply these tools to a recalcitrant problem in the physicalism literature – the problem of extras. (shrink)

Husserl is well known for his critique of the “mathematizing tendencies” of modern science, and is particularly emphatic that mathematics and phenomenology are distinct and in some sense incompatible. But Husserl himself uses mathematical methods in phenomenology. In the first half of the paper I give a detailed analysis of this tension, showing how those Husserlian doctrines which seem to speak against application of mathematics to phenomenology do not in fact do so. In the second half of the paper I (...) focus on a particular example of Husserl’s “mathematized phenomenology”: his use of concepts from what is today called dynamical systems theory. (shrink)

The view of language is greatly changed from early modern philosophy to later modern philosophy and to postmodern philosophy. The linguistic question in early modern philosophy, which is characterized by rationalism and empiricism, is discussed in this paper. Linguistic phenomena are not at the center of philosophical reflections in early modern philosophy. The subject of consciousness is at the center of the philosophy, which makes language serve purely as an instrument for representing thoughts. Locke, Leibniz and Descartes consider language from (...) a representationalist point of view. To them, language itself is idealized and represents thought as if it were thought representing itself. Like the structural linguist Saussure, the founders of phenomenology and analytical philosophy give much attention to the logical or static structure of language, and stick up for the representationalism of early modern philosophy. However, their successors refuse to accept this attitude, meaning the final collapse of representationalism. (shrink)

This article explores the phenomenology of mothers as they return to memorable photographs.[i] It reviews research on three mothers who articulate the lived experience of photographs, and how such experience might reveal basic ontological aspects of motherhood. The phenomenology of a mother’s memorable photographs discloses an aporia of human relationships that involves the connectedness she has with her children, and the awareness that her children have become separate individuals. These two themes – separateness and coexistence – are indissolubly at odds. (...) Each constitutes a mother’s potential lived experience of photographs as viewed in front of her. A concluding discussion reviews how each of these contradictory themes provides the necessary context for the other to arise, mutually presupposing the other. (shrink)

This paper explores the political import of Husserl’s critical discussion of the epistemic effects of the formalization of rational thinking. More specifically, it argues that this discussion is of direct relevance to make sense of the pervasive processes of ‘technization’, that is, of a mechanistic and superficial generation and use of knowledge, to be observed in current contexts of governance. Building upon Husserl’s understanding of formalization as a symbolic technique for abstraction in the thinking with and about numbers, I argue (...) that processes of technization, while being necessary and legitimate procedures for the reduction of complexities, also may give rise to politically unresponsive and ultimately dysfunctional ‘economies of thinking.’ This paper is structured in three parts. In the first part I outline Husserl’s account of the formalization and technization of thought and knowledge. In the second part I make my case for the political import of this account, departing in this context from positions that (a) regard Husserl’s discussions of formalization and its effects as merely epistemological, or that (b) try to mobilize Husserl for a one-sided critique of instrumental reason. In the final part I address a major shortcoming of Husserl’s account, namely its neglect of the concrete and historically evolving technological infrastructures of processes of formalization/technization. (shrink)

Embodied approaches to cognition see abstract thought and language as grounded in interactions between mind, body, and world. A particularly important challenge for embodied approaches to cognition is mathematics, perhaps the most abstract domain of human knowledge. Conceptual metaphor theory, a branch of cognitive linguistics, describes how abstract mathematical concepts are grounded in concrete physical representations. In this paper, we consider the implications of this research for the metaphysics and epistemology of mathematics. In the case of metaphysics, we argue that (...) embodied mathematics is neutral in the sense of being compatible with all existing accounts of what mathematical entities really are. However, embodied mathematics may be able to revive an older position known as psychologism and overcome the difficulties it faces. In the case of epistemology, we argue that the evidence collected in the embodied mathematics literature is inconclusive: It does not show that abstract mathematical thinking is constituted by metaphor; it may simply show that abstract thinking is facilitated by metaphor. Our arguments suggest that closer interaction between the philosophy and cognitive science of mathematics could yield a more precise, empirically informed account of what mathematics is and how we come to have knowledge of it. (shrink)

Abstract Not much scholarly work is needed in order to stumble across many passages where Edmund Husserl seems to advocate an anti-realist attitude towards the natural sciences. This tendency, however, is not well-received within the secondary literature. While some commentators criticize Husserl for his alleged scientific anti-realism, others argue that Husserl's position is much more realist than the first impression indicates. It is against this background that I want to argue for the following theses: a) The basic outlook of Husserl's (...) epistemology as well as his more substantial comments regarding the natural sciences indeed result in a (sophisticated version of) scientific anti-realism which bears certain resemblances to Bas van Fraassen's constructive empiricism; b) This scientific anti-realism can be defended against the two most common objections raised in the secondary literature; c) It is only by means of this sophisticated version of scientific anti-realism that phenomenology can circumvent the problem of ?scientific objectivism? (shrink)

European Journal of Philosophy, Volume 30, Issue 1, Page 169-181, March 2022.

Set against a background of calls for evidence-based practice, this paper explores the role of evidence and argument in phenomenological research. Drawing on Smith’s (1998) analysis of original argument, the author considers how evidence can be discerned, understood, and communicated, and the resulting kinds and contexts of knowledge that may be constituted in the practice of phenomenological research. Linking Churchill’s (2012) discussion of researcher perspectivity with Smith’s analysis of original argument, contrasts are drawn between rhetorical, demonstrative, and dialectical approaches to (...) argument, with proposed parallels to first-person, second-person, and third-person perspectives explored. Implications for argument-based phenomenological research are discussed. Indo-Pacific Journal of Phenomenology , Volume 12, Special Edition July 2012. (shrink)

ABSTRACTIn this article, we argue that it is possible to approach teaching from a fully affirmative perspective: as an educational practice that has its own internal logic and intrinsic value. By analysing a fragment from one of the Leonard Bernstein’s Young People’s Concerts presented in this article as a teaching event, we show that when starting from an empirical example of teaching it is possible to distinguish principles and gestures that testify to an ontological dimension of teaching. This is possible, (...) however, only when a particular reading of this empirical material is applied. We call this an immanent reading, as opposed to a transcendent reading. It should be clear that this kind of inquiry we briefly demonstrate here is exactly a post-critical attempt to re-establish our affirmative relation with one of the most devalued, repressed, and neglected educational practice, namely teaching. (shrink)

The project behind this and the following1 special issue of Angelaki first assumed concrete form in the shape of a three-day international conference, “Continental Philosophy and the Sciences,” hel...

This study applied a method of assisted introspection to investigate the phenomenology of mathematical intuition arousal. The aim was to propose an essential structure for the intuitive experience of mathematics. To achieve an intersubjective comparison of different experiences, several contemporary mathematicians were interviewed in accordance with the elicitation interview method in order to collect pinpoint experiential descriptions. Data collection and analysis was then performed using steps similar to those outlined in the descriptive phenomenological method that led to a generic structure (...) that accounts for the intuition surge in the experience of mathematics which was found to have four irreducible structural moments. The interdependence of these moments shows that a perceptualist view of intuition in mathematics, as defended by Chudnoff, is relevant to the characterization of mathematical intuition. The philosophical consequences of this generic structure and its essential features are discussed in accordance with Husserl’s philosophy of ideal objects and theory of intuition. (shrink)

Paul ThagardCambridge, MA: MIT press, 2006313 pages, ISBN: 026220164X (hbk); $36.00Can human beliefs and inferences be understood as a form of coherence maximization? This question underlies much o...

In this paper I argue that the representational theory of perception, on which the world is represented as being a certain way in perceptual experience, cannot explain how there can be a genuinely epistemic connection between experience and belief. I try to show that we are positively required to deny that perceptual consciousness is contentful if we want to make its fitness for epistemic duties intelligible. (So versions of the representational theory on which experience has a merely causal purchase on (...) belief are not considered.) But my aim is not just negative. I try to defeat representationalism in such a way as to motivate a robustly presentational theory of perception. According to such a theory, perceptions are relations not between a subject and a content but between a subject and an ordinary object (such that if the relation holds at t, an appropriate subject and object must exist at t, and the object must be presented to the subject). I end by sketching an account of perceptual experience that is meant to show that, contrary to a very popular misconception, there is a way to conceive perceptual consciousness as relational and presentational (not intentional and representational) that does not succumb to the celebrated ?myth of the Given? (shrink)

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

In this paper the reader is asked to engage in some simple problem-solving in classical pure number theory and to then describe, on the basis of a series of questions, what it is like to solve the problems. In the recent philosophy of mind this “what is it like” question is one way of signaling a turn to phenomenological description. The description of what it is like to solve the problems in this paper, it is argued, leads to several morals (...) about the epistemology and ontology of classical pure mathematical practice. Instead of simply making philosophical judgments about the subject matter in advance, the exercise asks the reader to briefly engage in a mathematical practice and to then reflect on the practice. (shrink)

In On the Content and Object of Presentations, Kasimir Twardowski presents an interesting line of thought concerning the content of a presentation and its relation to the object of that presentation. This way of thinking about content is valuable for understanding phenomenal intentionality, and it should also be important for the project of “naturalizing” the mental (or at least for discovering the neural correlates of the phenomenal). According to this view, content is that by virtue of which a presentation of (...) an object presents a certain object and no other. In the cases in which an object is presented as simple, there is nothing more that can be said about the relation of content and object. It is sui generis: the relation of content to an object by virtue of which it presents that object. Further, the content of a presentation is never itself directly presented. The content can only be gotten at indirectly, as the content by which such and such object is presented. Where the presented object is complex—as is of course the normal case—a lot that is useful can be said about the structure of the content. In this paper, I lay out Twardowski's theory of the content of presentations. Since the business of content is to present its object, I briefly present the basics of Twardowski's mereology of objects. (shrink)

Edmund Husserl has argued that we can intuit essences and, moreover, that it is possible to formulate a method for intuiting essences. Husserl calls this method 'ideation'. In this paper I bring a fresh perspective to bear on these claims by illustrating them in connection with some examples from modern pure geometry. I follow Husserl in describing geometric essences as invariants through different types of free variations and I then link this to the mapping out of geometric invariants in modern (...) mathematics. This view leads naturally to different types of spatial ontologies and it can be used to shed light on Husserl's general claim that there are different ontologies in the eidetic sciences that can be systematically related to one another. The paper is rounded out with a consideration of the role of ideation in the origins of modern geometry, and with a brief discussion of the use of ideation outside of pure geometry. (shrink)