Husserl’s first work formulated what proved to be an algorithmically complete arithmetic, lending mathematical clarity to Kronecker’s reduction of analysis to finite calculations with integers. Husserl’s critique of his nominalism led him to seek a philosophical justification of successful applications of symbolic arithmetic to nature, providing insight into the “wonderful affinity” between our mathematical thoughts and things without invoking a pre-established harmony. For this, Husserl develops a purely descriptive phenomenology for which he found inspiration in Mach’s proposal of a “universal (...) physical phenomenology.” To account for applications to any domain, Husserl envisages a theory of all possible deductive systems, which he develops extensively in his Göttingen lectures wherein he engages with Hilbert’s work on deductive systems for geometry, real arithmetic, and physics. This leads Husserl to formulate claims of decidability and proofs of completeness for various arithmetics that result from his analysis of Kronecker’s general arithmetic. Careful attention to these proofs seem to show that Husserl was not oblivious to problems that underlie our incompleteness theorems, namely that of showing that some inversions of his algorithmic arithmetic are undefined. His growing preoccupation with the issue of a pre-established harmony between mathematical thought and reality motivate his pursuit of a “supramathematics” of all possible complete theory forms to demystify such harmony, by having such a form on hand for describing any empirical domain. He soon decides that a transcendental idealism of nature will reveal the wonderful affinity of thoughts and things comprising such harmony, to be a wonderful “parallelism of objective unities and constituted manifolds of consciousness.” But the paradoxes of logic and set theory cloud the clarity of mathematics, which Weyl would restore with Brouwer’s intuitionism and Hilbert with his metamathematics. Husserl informed Weyl that his student Becker had formulated a phenomenological foundation not only for Weyl’s generalization of relativity theory but also for the Brouwer-Weyl continuum. But Weyl eventually rejected much of Becker’s work, especially when it became clear that his phenomenological intuitionism could not account for the success of Hilbert’s transfinite mathematics in quantum physics. Becker responded to this “crisis of phenomenological method” with his mantic phenomenology celebrating the magic of mathematical mysticism, which Husserl finally rejects in favor of a pluralistic phenomenology of mathematics and nature. (shrink)

How do we know what we "know"? How did we –as individuals and as a society – come to accept certain knowledge as fact? In _Human Knowledge,_ Bertrand Russell questions the reliability of our assumptions on knowledge. This brilliant and controversial work investigates the relationship between ‘individual’ and ‘scientific’ knowledge. First published in 1948, this provocative work contributed significantly to an explosive intellectual discourse that continues to this day.

This chapter presents the main formalism of the book, which is used in subsequent chapters to describe a variety of concepts in Husserlian phenomenology, and thereby unify them. A dynamical systems approach to Husserl is introduced, and several dynamical laws of Husserlian phenomenology are described. The first is an expectation rule according to which expectations are determined by what a person knows, sees, and does. The second is a learning rule according to which background knowledge is updated in a specific (...) way when experiences fulfill or frustrate prior expectations. In addition to these rules, a “supervenience function” is described, which associates how a thing is seen with a “trail set,” the set ways that thing is expected to look, relative to all possible ways of moving around it. This function further illustrates the explanatory dimension of phenomenology described in Chap. 2, whereby how we immanently experience things is determined by how we expect them to look relative to counterfactual movement patterns. (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)

Husserl’s early picture of explanation in the sciences has never been completely provided. This lack represents an oversight, which we here redress. In contrast to currently accepted interpretations, we demonstrate that Husserl does not adhere to the much maligned deductive-nomological (DN) model of scientific explanation. Instead, via a close reading of early Husserlian texts, we reveal that he presents a unificationist account of scientific explanation. By doing so, we disclose that Husserl’s philosophy of scientific explanation is no mere anachronism. It (...) is, instead, tenable and relevant. We discuss how Husserl and other contemporary thinkers draw theoretical inspiration from the same source—namely, Bernard Bolzano. Husserl’s theory of scientific explanation shares a common language and discusses the same themes as, for example, Phillip Kitcher and Kit Fine. To advance our novel reading, we discuss Husserl’s investigations of grounding, inter-lawful explanation, intra-mathematical explanation, and scientific unification. (shrink)

In the article I discuss functionalist interpretations of Husserlian phenomenology. The first one was coined in the discussion between Hubert Dreyfus and Ronald McIntyre. They argue that Husserl’s phenomenology shares similarities with computational functionalism, and the key similarity is between the concept of noema and the concept of mental representation. I show the weaknesses of that reading and argue that there is another available functionalist reading of Husserlian phenomenology. I propose to shift perspective and approach the relation between phenomenology and (...) functionalism from a methodological perspective, specifically taking into account the functionalist explanatory strategy called functional analysis. I discuss the notion of function in Husserl’s works and Husserl’s idea of functional phenomenology. The key argument I develop is that in functional phenomenology we can find an explanatory strategy which is analogous to the strategy of functional decomposition used in functional analysis. I conclude that the proposed functionalist reading of phenomenology opens a new approach to the integration of phenomenology with cognitive sciences. (shrink)

Husserl has finally begun to be recognized as the precursor of current interest in intentionality — the first to have a general theory of the role of mental representations in the philosophy of language and mind. As the first thinker to put directedness of mental representations at the center of his philosophy, he is also beginning to emerge as the father of current research in cognitive psychology and artificial intelligence.

Psychologism is defined as “the doctrine that the laws of mathematics and logic can be reduced to or depend on the laws governing thinking” (Moran & Cohen, 2012 266). And for Husserl, the laws of logic include the laws of meaning: “logic evidently is the science of meanings as such [Wissenschaft von Bedeutungen als solchen]” (Husserl ( 1975 ) 98/2001 225). I argue that, since it is sufficient for a theory to be psychologistic if the empiricistic theory of abstraction is (...) employed, it follows that neural networks are psychologistic insofar as they use this theory of abstraction, which I demonstrate is the case (Husserl ( 1975 ) 191/2001 120). It’s sufficient for psychologism because, according to Husserl, the theory in question reduces one’s phenomenological ability to intend types (or universals) to one’s past history of intending tokens (or particulars), usually amalgamated in some fashion (classically via associations; recently via autoencoders) (ibid; Kelleher, 2019 ). Similarly dynamical systems theory entails psychologism. For dynamical systems theory ties content to the temporal evolution of a system, which, according to Husserl, violates the fact that intentionality toward validities and objectivities does not pertain to "particular temporal experience[s]" (Husserl ( 1975 ) 194/2001 121). It follows that neither the species (neural networks), nor the genus (dynamical systems), can avoid psychologism and intend objects "in specie" (ibid). After critiquing these two approaches, I proceed to give an account based on the essentialist school of cognitive psychology of how we may intend objects "in specie" while avoiding the empiricistic theory of abstraction (Keil, 1989, Carey, 2009, Marcus & Davis, 2019 ). Such an account preserves the type-token distinction without psychologistic reduction to the temporal evolution of a dynamical system (Hinzen, 2006 ). This opens the way toward a truly unifying account of Husserlian phenomenology in league with cognitive science that avoids Yoshimi's ( 2016 ) and neurophenomenology's psychologistic foundation (herein demonstrated) and builds upon Sokolowski's ( 2003 ) syntactic account of Husserlian phenomenology. (shrink)

Hubert Dreyfus once noted that it would be difficult to ascertain whether Edmund Husserl had a computational theory of mind. I provide evidence that he had one. Both Steven Pinker and Steven Horst think that the computational theory of mind must have two components: a representational-symbolic component and a causal component. Bearing this in mind, we proceed to a close-reading of the sections of “On the Logic of Signs” wherein Husserl presents, if I’m correct, his computational theory of mind embedded (...) in a language of thought. My argument goes like this: the computational theory of mind is the idea, following Haugeland, that the mind comes prepackaged as, or is endogenously constrained to be, an automatic formal system; this explains, according to Husserl, why automatic trains of thought without logical intent resemble arguments exhibiting deductive structure with logical intent. In general, an automatic formal system yields true results provided that the syntactic symbols with which they compute are univocal and are semantically evaluable, and the mechanized inferences they perform are valid and preserve truth. These two conditions describe a computational cognitive process: the first condition connects representations to syntax, and the second condition uses the syntax, in inauthentic judging, to arrive at true conclusions through blind causality. Now, in point of textual fact, these are the conditions which Husserl attributes to our “natural psychological mechanism of symbolic inference” which typically yields true results. Since a formal system attributed to the “internal structure” of the mind, and guided by blind causality, just is the computational theory of mind, it follows, I think, that Husserl had a computational theory of mind. This computational theory is, moreover, embedded in a language of thought, since Husserl attributes a language-like form to our thoughts so that they may be mechanically processed. I conclude with a discussion of my results. (shrink)

To explain the phenomena in the world of our experience, to answer the question “why?” rather than only the question “what?”, is one of the foremost objectives of all rational inquiry; and especially, scientific research in its various branches strives to go beyond a mere description of its subject matter by providing an explanation of the phenomena it investigates. While there is rather general agreement about this chief objective of science, there exists considerable difference of opinion as to the function (...) and the essential characteristics of scientific explanation. In the present essay, an attempt will be made to shed some light on these issues by means of an elementary survey of the basic pattern of scientific explanation and a subsequent more rigorous analysis of the concept of law and of the logical structure of explanatory arguments. (shrink)

This book is largely a reconsideration of the arguments that are supposed to ground this consensus.

This paper explores the difference between Connectionist proposals for cognitive a r c h i t e c t u r e a n d t h e s o r t s o f m o d e l s t hat have traditionally been assum e d i n c o g n i t i v e s c i e n c e . W e c l a i m t h a t t h (...) e m a j o r d i s t i n c t i o n i s t h a t , w h i l e b o t h Connectionist and Classical architectures postulate representational mental states, the latter but not the former are committed to a symbol-level of representation, or to a ‘language of thought’: i.e., to representational states that have combinatorial syntactic and semantic structure. Several arguments for combinatorial structure in mental representations are then reviewed. These include arguments based on the ‘systematicity’ of mental representation: i.e., on the fact that cognitive capacities always exhibit certain symmetries, so that the ability to entertain a given thought implies the ability to entertain thoughts with semantically related contents. We claim that such arguments make a powerful case that mind/brain architecture is not Connectionist at the cognitive level. We then consider the possibility that Connectionism may provide an account of the neural (or ‘abstract neurological’) structures in which Classical cognitive architecture is implemented. We survey a n u m b e r o f t h e s t a n d a r d a r g u m e n t s t h a t h a v e b e e n o f f e r e d i n f a v o r o f Connectionism, and conclude that they are coherent only on this interpretation. (shrink)

How do we reconcile Husserl’s repeated criticism of Mach’s phenomenalism almost everywhere in his work with the leading role that Husserl seems to attribute to Mach in the genesis of his own phenomenology? To answer this question, we shall examine, first, the narrow relation that Husserl establishes between his phenomenological method and Mach’s descriptivism. Second, we shall examine two aspects of Husserl’s criticism of Mach: the first concerns phenomenalism and Mach’s doctrine of elements, while the second concerns the principle of (...) economy of thought, which Husserl closely associates with a form of psychologism in his Logical Investigations . Our working hypothesis is that the apparent contradictory comments of Husserl regarding Mach’s positivism can be partially explained by the double status he confers to his own phenomenology—as a philosophical program radically opposed to positivism, and as a method akin to Mach’s descriptivism. (shrink)

A concise and accessible dictionary of the key terms and concepts in Husserl's philosophy, his major works and philosophical influences.

The essays will be accessible to attentive readers without an extensive philosophical background.

This pioneering book lays new foundations for the study of reference and truth.

Examining one of the fundamental issues in cognitive psychology: How does our conscious experience come to be the way it is?

Jerry Fodor is one of the most important philosophers of mind in recent decades. He has done much to set the agenda in this field and has had a significant influence on the development of cognitive science. Fodor's project is that of constructing a physicalist vindication of folk psychology and so paving the way for the development of a scientifically respectable intentional psychology. The centrepiece of his engagement in this project is a theory of the cognitive mind, namely, the computational (...) theory of mind, which postulates the existence of a language of thought. Fodor: Language, Mind and Philosophy is a comprehensive study of Fodor's writings. Individual chapters are devoted to each of the major issues raised by his work and contain extensive discussion of his relationships to key developments in cognitive science and to the views of such philosophical luminaries as Dennett, Davidson and Searle. (shrink)