Political liberals assume an accessibility requirement, which means that, for ensuring civic respect and non-manipulation, public officials should offer accessible reasons during political advocacy. Recently, critics have offered two arguments to show that the accessibility requirement is unnecessary. The first is the pluralism argument: Given the pluralism in evaluative standards, when officials offer non-accessible reasons, they are not disrespectful because they may merely try to reveal their strongest reason. The second is the honesty argument: As long as officials honestly confess (...) their beliefs after offering non-accessible reasons, disrespect and non-manipulation do not occur. This paper defends the accessibility requirement and asserts that these two arguments overlook a unique feature of the political domain. While all citizens collectively own political power as a corporate body, an official does not privately own her political power. Instead, she is a trustee who has a duty to act on behalf of the corporate body, that is, she has to make decisions on grounds that are accessible to others. This duty explains why, despite pluralism, the accessibility requirement is necessary. Moreover, given that political decisions are profoundly influential to each person, requiring people to be honest is ineffective in discouraging disrespectful and manipulative acts. (shrink)

In Public Reason Confucianism, Kim Sungmoon presents a perfectionist theory that is based on a partially comprehensive Confucian doctrine but is non-sectarian, since the doctrine is widely shared in East Asian societies. Despite its attractiveness, I argue that this project, unfortunately, fails because it is still vulnerable to the sectarian critique. The blurred distinction between partially and fully comprehensive doctrines will create a loophole problem. Sectarian laws and policies may gain legitimacy that they do not deserve. I further defend political (...) Confucianism, which is regarded by Kim as an inadequately intelligible form of Confucianism. Kim assumes a too narrow understanding of intelligibility. Although political Confucianism may not be politically intelligible, it is civically intelligible, i.e. it is culturally intelligibly different from other political theories in terms of its implications in citizens’ actions in civil society. In light of civic intelligibility, the distinctiveness of political Confucianism should not be underestimated. (shrink)

Outside of philosophy, ‘intuition’ means something like ‘knowing without knowing how you know’. Intuition in this broad sense is an important epistemological category. I distinguish intuition from perception and perception from perceptual experience, in order to discuss the distinctive psychological and epistemological status of evaluative property attributions. Although it is doubtful that we perceptually experience many evaluative properties and also somewhat unlikely that we perceive many evaluative properties, it is highly plausible that we intuit many instances of evaluative properties as (...) such. The resulting epistemological status of evaluative property attributions is very much like it would be if we literally perceived such properties. (shrink)

Clayton and Stevens argue that political liberals should engage with the religiously unreasonable by offering religious responses and showing that their religious views are mistaken, instead of refusing to engage with them. Yet they recognize that political liberals will face a dilemma due to such religious responses: either their responses will alienate certain reasonable citizens, or their engagements will appear disingenuous. Thus, there should be a division of justificatory labour. The duty of engagement should be delegated to religious citizens. In (...) this comment, I will argue that the division of justificatory labour is indefensible. This dilemma can be avoided if politicians and political philosophers correctly use conjecture, a form of discourse that involves non-public reason. As a conditional response, conjecture avoids alienating any reasonable citizens. Also, if conjecture is given in a sincere and open-minded manner, then the problem of disingenuousness can be overcome. My comment concludes that while the engagement of politicians and political philosophers does not necessarily jeopardize overlapping consensus, they should be permitted, or perhaps even required, to engage with the religiously unreasonable due to the natural duty of justice. (shrink)

Contractualism is a normative theory which characterizes principles of right in terms of the idea of mutual respect. In this theory, mutual respect is regarded as having deliberative priority over other values. This essay aims to examine how contractualists can provide a satisfactory justification for prioritizing mutual respect. I will argue that the ‘value of mutual respect argument,’ which is a justification commonly adopted by contractualists, is inadequate because an unconditional priority of mutual respect cannot be grounded on the desirability (...) of a relationship of mutual respect. Then I will suggest that a ‘consistency argument’ can provide a better justification of why the idea of mutual respect should have priority. Mutual respect is of special importance, not because it is highly desirable, but rather because it is required by an a priori guiding principle of consistency. Individuals become inconsistent if they ask others to respect them as reason-assessing individuals, while at the same time refusing to respect others in the same way. (shrink)

Neutral monism is a position in metaphysics defended by Mach, James, and Russell in the early twentieth century. It holds that minds and physical objects are essentially two different orderings of the same underlying neutral elements of nature. This paper sets out some of the central concepts, theses and the historical background of ideas that inform this doctrine of elements. The discussion begins with the classic neutral monism of Mach, James, and Russell in the first part of the paper, then (...) considers recent neo-Russellian versions in the second half. The chances for a revival of neutral monism are probably slight; its key ideas and starting points lie far from those in contemporary philosophy of mind. A better route might be through the philosophy of science and a deeper understanding of causation. (shrink)

Public opinion research has shown that voters accept many falsehoods about politics. This observation is widely considered troubling for democracy—and especially participatory ideals of democracy. I argue that this influential narrative is nevertheless flawed, because it misunderstands the nature of political understanding. Drawing on philosophical examinations of scientific modelling, I demonstrate that accepting falsehoods within one’s model of political reality is compatible with—and indeed can positively enhance—one’s understanding of that reality. Thus, the observation that voters accept many political falsehoods does (...) not necessarily establish that they lack political understanding. I then address three worries: that voters cannot generally engage in such political modelling; that political modelling obscures facts that are crucial to political understanding; and that successful political modelling would require knowing that one’s model contains falsehoods. My responses reveal how, going forward, we should measure political ignorance; and they highlight the standing importance of participatory democracy. (shrink)

This paper presents the main topics, arguments, and positions in the philosophy of AI at present (excluding ethics). Apart from the basic concepts of intelligence and computation, the main topics of ar-tificial cognition are perception, action, meaning, rational choice, free will, consciousness, and normativity. Through a better understanding of these topics, the philosophy of AI contributes to our understand-ing of the nature, prospects, and value of AI. Furthermore, these topics can be understood more deeply through the discussion of AI; so (...) we suggest that “AI Philosophy” provides a new method for philosophy. (shrink)

The contribution of the body to cognition and control in natural and artificial agents is increasingly described as “off-loading computation from the brain to the body”, where the body is said to perform “morphological computation”. Our investigation of four characteristic cases of morphological computation in animals and robots shows that the ‘off-loading’ perspective is misleading. Actually, the contribution of body morphology to cognition and control is rarely computational, in any useful sense of the word. We thus distinguish (1) morphology that (...) facilitates control, (2) morphology that facilitates perception and the rare cases of (3) morphological computation proper, such as ‘reservoir computing.’ where the body is actually used for computation. This result contributes to the understanding of the relation between embodiment and computation: The question for robot design and cognitive science is not whether computation is offloaded to the body, but to what extent the body facilitates cognition and control – how it contributes to the overall ‘orchestration’ of intelligent behaviour. (shrink)

Concept Pluralism and Concept Eliminativism are two positions recently proposed in the philosophy and the psychology of concepts. Both of these theories are motivated by the view that all current theories of concepts are empirically and methodologically inadequate and hold in common the assumption that for any category that can be represented in thought, a person can possess multiple, distinct concepts of it. In this paper, I will challenge these in light of a third theory, Conceptual Atomism, which addresses and (...) dispels the contentious issues. In particular, I contend that Conceptual Atomism, when properly understood, is empirically adequate and can overcome difficulties that plague Pluralism and Eliminativism. (shrink)

This essay is part of an attempt to reconcile two extreme views in economics: the (neglected) subjective, apriorist approach and the (standard) objective, scientific (i.e., falsifiable) approach. The Austrian subjective view of value, building on Carl Menger’s theory of value, was developed into a theory of economics as being entirely an a priori theory of action. This probably finds its most extreme statement in Ludwig von Mises’ Human Action (1949). In contrast, the standard economic view has developed into making falsifiable (...) predictions about economic phenomena whereby the truth of the assumptions, especially about economic agents, is relatively unimportant: predictive fecundity is all. This finds an extreme statement in Milton Friedman’s introductory essay in his Essays in Positive Economics (1953). However, many economists fall somewhere between the two extremes, such as McKenzie and Tullock (1978). (shrink)

The philosophy of AI has seen some changes, in particular: 1) AI moves away from cognitive science, and 2) the long term risks of AI now appear to be a worthy concern. In this context, the classical central concerns – such as the relation of cognition and computation, embodiment, intelligence & rationality, and information – will regain urgency.

An outline of the wealth of philosophical material that hides behind the flat world of geographic maps, with special reference to (i) the centrality of the boundary concept, (ii) the problem of vagueness, and (iii) the metaphysical question (if such there be) of the identity and persistence conditions of geographic entities.

A look at the dynamical concept of space and space-generating processes to be found in Kant, J.F. Herbart and the mathematician Bernhard Riemann's philosophical writings.

This essay explicates the primary interpretative import of B1: 31-32 in Parmenides poem (On Nature)—lines which have radical implications for the overall argument, and which the traditional arrangement forces into an irreconcilable dilemma. I argue that the “negative” reading of lines 31-32 is preferable, even on the traditional arrangement. This negative reading denies that a third thing is to be taught to the reader by the goddess—a positive account of how the apparent world is to be “acceptably” understood. I then (...) suggest that a rearrangement of the fragments would make more sense overall, while further supporting the “negative” reading as more natural and coherent. In particular, the rearrangement dispels the objection that, “if mortal opinions were not true, why would Parmenides include such a lengthy false account of the apparent world--an account which explicitly denies the conclusions of the earlier section, Truth?”. (shrink)

The editors of the Journal of Applied Philosophy allowed Alan Haworth to reply to my short review of his Anti-Libertarianism. The editors would not allow me to respond to Haworth. Thanks to the openness of internet publication and the Libertarian Alliance website, this can now be rectified and Haworth's reply can no longer escape a public critical response.

A critical survey of the main metaphysical theories concerning the nature of material objects (substratum theories, bundle theories, substance theories, stuff theories) and their identity conditions, both synchronic (monist vs. pluralist theories) and diachronic (three-dimensionalism, four-dimensionalism, sequentialism).

In his account of the Persian Wars, the 5th century historian Herodotus reports an exchange between the Persian monarch Xerxes and a deposed Spartan king, Demaratus, who became what Lattimore later classified as a “tragic warner” to Xerxes. On the eve of the battle of Thermopylae, Xerxes asks how a small number of free Spartiates can stand up against the massive ranks of soldiers that Xerxes has assembled. Herodotus has Demaratus reply: So is it with the Lacedaemonians; fighting singly they (...) are as brave as any man living, and together they are the best warriors on earth. Free they are, yet not wholly free; for law is their master (ἐλεύθεροι γὰρ ἐόντες οὐ πάντα ἐλεύθεροι εἰσί· ἔπεστι γάρ σφι δεσπότης νόμος), whom they fear much more than your men fear you. This is my proof—what their law bids them, that they do; and its bidding is ever the same, that they must never flee from the battle before whatsoever odds, but abide at their post and there conquer or die. (Hdt. 7.104) As the outcome of Thermopylae makes clear, Demaratus is hardly guilty of boasting. But Greek political theorists were not only fascinated by the Spartans who fought at the battle of Thermopylae in 480; they also wondered how slightly more than a century later Sparta was ignobly defeated by Thebes at the battle of Leuctra in 371, after which Spartan hegemony collapsed. How did Sparta field citizen-soldiers in the 5th century who were without parallel in their bravery and military prowess? And why did Sparta, predominantly under the same political organization, collapse just over a century later? Such are the main questions that Xenophon, Plato, Aristotle, and Plutarch—what Cartledge (1999, 313–14) has characterized as “political-theoretical” laconophiles—seek to answer in their writings about Sparta. (shrink)

A dialogue between a figure and its background, illustrating that the perceptual conditions that determine which is which are not as clear as standard Gestalt theory dictates.

The potential benefits of cognitive skills in enhancing mathematics ability have been claimed by numerous researchers. Since mathematics requires a complete understanding and grasp of abstract concepts, it is essential to explore how learning with metacognitive skills affects mathematics learning. Thus, the study investigates the students' metacognitive awareness and conceptual understanding of integers. A descriptive-correlational method approach was utilized, and it was carried out on 303 seventh-grade students. The data were obtained using a metacognitive awareness inventory and achievement test on (...) integers. It was further revealed that the students have average metacognitive awareness and performed well in the fundamental operation of integers. Follow-up qualitative analysis revealed that students who were high achievers had the best understanding, average achievers had corrected or incomplete understanding, and low achievers had a functional misconception of integers. Moreover, the student's metacognitive awareness was significantly related to their conceptual understanding of integers. This indicates that student's higher-order thinking skills, such as metacognition, are essential since they are associated with building conceptual skills. Thus, teachers should encourage students' metacognitive awareness to improve students' conceptual understanding of integers. The study provides relevant information for educational managers on the potential factors to be considered in improving mathematics education practices, particularly in promoting metacognition among high school students. (shrink)

In a well-ordered society, democratic officials face an assurance problem. They want to ensure that others will act reasonably when they do the same. According to political liberals, public reason can solve this problem, but the details of how assurance is generated are unclear. This article explains the assurance mechanism in political liberalism. Apart from public reason, mutual assurance is also provided by a long-term record of civic deeds. By performing civic deeds over time, officials signal their reasonableness to each (...) other. This record of civic deeds is costly to unreasonable officials and thus represents a reliable way to differentiate trustworthy fellows from others. The article also shows that a recent critique of political liberalism, which argues that public reason is merely cheap talk and thus political liberalism fails to provide mutual assurance, misses the point. It overlooks that assurance is created through talks and deeds together. (shrink)

In most of the introductions to Rawls and contemporary contractarianism, Rawls is seen as the representative of Kantian contractarianism. He is understood as inheriting a contractarian tradition that can be traced back to Kant and which has inspired followers such as Barry and Scanlon. This paper argues that the label does not fit Rawls. While a Kantian contractarian would presuppose a monistic conception of practical reason, Rawls is a hybrid contractarian who presupposes a dual conception. I shall first argue that (...) the way in which a contractarian model is labeled is determined by its conception of practical reason. Then I show that Rawls and Kantian contractarians assume different conceptions of practical reason, and therefore should be seen as belonging to two strands of thought. I further argue that, although Rawls acknowledges his intellectual affiliation with Kant, he cannot be considered a Kantian contractarian in the commonly understood way. In his Lectures on the History of Moral Philosophy, Rawls interprets Kant as endorsing a hybrid contractarian model that is similar to his. By understanding Rawls as a hybrid contractarian and not confusing his philosophical project with that of Kantian contractarians, Rawls’s contribution to the history of contractarianism can be better evaluated. (shrink)

An interview exploring the complexity of contemporary French philosophical atheism, in the light of Difficult Atheism: Post-Theological Thinking in Badiou, Nancy and Meillassoux (Edinburgh UP, 2011).

Cognition is commonly taken to be computational manipulation of representations. These representations are assumed to be digital, but it is not usually specified what that means and what relevance it has for the theory. I propose a specification for being a digital state in a digital system, especially a digital computational system. The specification shows that identification of digital states requires functional directedness, either for someone or for the system of which it is a part. In the case or digital (...) representations, to be a token of a representational type, where the function of the type is to represent. [An earlier version of this paper was discussed in the web-conference "Interdisciplines" https://web.archive.org/web/20100221125700/http://www.interdisciplines.org/adaptation/papers/7 ]. (shrink)

Two types of formal models - landscape search tasks and two-armed bandit models - are often used to study the effects that various social factors have on epistemic performance. I argue that they can be understood within a single framework. In this unified framework, I develop a model that may be used to understand the effects of functional and demographic diversity and their interaction. Using the unified model, I find that the benefit of demographic diversity is most pronounced in a (...) functionally homogeneous group, and decreases with the increase of functional diversity. (shrink)

We argue that the epistemic functions of replication in science are best understood by their role in assessing kinds of experimental error. Direct replications serve to assess the reliability of an experiment through its precision: the presence and degree of random error. Conceptual replications serve to assess the validity of an experiment through its accuracy: the presence and degree of systematic errors. To illustrate the aptness of this view, we examine the Hubble constant controversy in astronomy, showing how astronomers have (...) responded to the concordances and discordances in their results by carrying out the different kinds of replication that we identify, with the aim of establishing a precise, accurate value for the Hubble constant. We contrast our view with Machery’s “re-sampling” account of replicability, which maintains that replications only assess reliability. (shrink)

Floridi and Taddeo propose a condition of “zero semantic commitment” for solutions to the grounding problem, and a solution to it. I argue briefly that their condition cannot be fulfilled, not even by their own solution. After a look at Luc Steels' very different competing suggestion, I suggest that we need to re-think what the problem is and what role the ‘goals’ in a system play in formulating the problem. On the basis of a proper understanding of computing, I come (...) to the conclusion that the only sensible ground-ing problem is how we can explain and re-produce the behavioral ability and function of meaning in artificial computational agents. (shrink)

Though most children can easily answer the question, "Who's your daddy?", the concept of paternity is complex and multifaceted. Courts have stumbled in answering it. In order to ground paternal rights and obligations in a satisfactory way, we need to disaggregate the various elements of stereotypical paternity. It is not sufficient merely to separate social from biological paternity. The latter concept, itself, is complex. We need to separate the procreative element of paternity from the genetic relationship.

The paper presents a paradoxical feature of computational systems that suggests that computationalism cannot explain symbol grounding. If the mind is a digital computer, as computationalism claims, then it can be computing either over meaningful symbols or over meaningless symbols. If it is computing over meaningful symbols its functioning presupposes the existence of meaningful symbols in the system, i.e. it implies semantic nativism. If the mind is computing over meaningless symbols, no intentional cognitive processes are available prior to symbol grounding. (...) In this case, no symbol grounding could take place since any grounding presupposes intentional cognitive processes. So, whether computing in the mind is over meaningless or over meaningful symbols, computationalism implies semantic nativism. (shrink)

Certain advocates of the so-called “neo-logicist” movement in the philosophy of mathematics identify themselves as “neo-Fregeans” (e.g., Hale and Wright), presenting an updated and revised version of Frege’s form of logicism. Russell’s form of logicism is scarcely discussed in this literature and, when it is, often dismissed as not really logicism at all (in light of its assumption of axioms of infinity, reducibility and so on). In this paper I have three aims: firstly, to identify more clearly the primary meta-ontological (...) and methodological differences between Russell’s logicism and the more recent forms; secondly, to argue that Russell’s form of logicism offers more elegant and satisfactory solutions to a variety of problems that continue to plague the neo-logicist movement (the bad company objection, the embarrassment of richness objection, worries about a bloated ontology, etc.); thirdly, to argue that neo-Russellian forms of logicism remain viable positions for current philosophers of mathematics. (shrink)

In their correspondence in 1902 and 1903, after discussing the Russell paradox, Russell and Frege discussed the paradox of propositions considered informally in Appendix B of Russell’s Principles of Mathematics. It seems that the proposition, p, stating the logical product of the class w, namely, the class of all propositions stating the logical product of a class they are not in, is in w if and only if it is not. Frege believed that this paradox was avoided within his philosophy (...) due to his distinction between sense (Sinn) and reference (Bedeutung). However, I show that while the paradox as Russell formulates it is ill-formed with Frege’s extant logical system, if Frege’s system is expanded to contain the commitments of his philosophy of language, an analogue of this paradox is formulable. This and other concerns in Fregean intensional logic are discussed, and it is discovered that Frege’s logical system, even without its naive class theory embodied in its infamous Basic Law V, leads to inconsistencies when the theory of sense and reference is axiomatized therein. (shrink)

An imaginary report of Square’s plans for a journey aimed to find out whether the topology of Flatland is sphere-like or torus-like, intended as a trubute to Hans Herzberger’s uncompromising philosophical style, courage, and passion.

This book reports on the results of the third edition of the premier conference in the field of philosophy of artificial intelligence, PT-AI 2017, held on November 4 - 5, 2017 at the University of Leeds, UK. It covers: advanced knowledge on key AI concepts, including complexity, computation, creativity, embodiment, representation and superintelligence; cutting-edge ethical issues, such as the AI impact on human dignity and society, responsibilities and rights of machines, as well as AI threats to humanity and AI safety; (...) and cutting-edge developments in techniques to achieve AI, including machine learning, neural networks, dynamical systems. The book also discusses important applications of AI, including big data analytics, expert systems, cognitive architectures, and robotics. It offers a timely, yet very comprehensive snapshot of what is going on in the field of AI, especially at the interfaces between philosophy, cognitive science, ethics and computing. (shrink)

The positions of Frege, Russell and Wittgenstein on the priority of complexes over (propositional) functions are sketched, challenging those who take the "judgment centered" aspects of the Tractatus to be inherited from Frege not Russell. Frege's views on the priority of judgments are problematic, and unlike Wittgenstein's. Russell's views on these matters, and their development, are discussed in detail, and shown to be more sophisticated than usually supposed. Certain misreadings of Russell, including those regarding the relationship between propositional functions and (...) universals, are exposed. Wittgenstein's and Russell's views on logical grammar are shown to be very similar. Russell's type theory does not countenance types of genuine entities nor metaphysical truths that cannot be put into words, contrary to conventional wisdom. I relate this to the debate over "inexpressible truths" in the Tractatus. I lastly comment on the changes to Russell's views brought about by Wittgenstein's influence. (shrink)

Sequel to Part I. In these articles, I describe Cantor’s power-class theorem, as well as a number of logical and philosophical paradoxes that stem from it, many of which were discovered or considered (implicitly or explicitly) in Bertrand Russell’s work. These include Russell’s paradox of the class of all classes not members of themselves, as well as others involving properties, propositions, descriptive senses, class-intensions and equivalence classes of coextensional properties. Part II addresses Russell’s own various attempts to solve these paradoxes, (...) including strategies that he considered and rejected (limitation of size, the zigzag theory, etc.), as well as his own final views whereupon many purported entities that, if reified, lead to these contradictions, must not be genuine entities, but ‘logical fictions’ or ‘logical constructions’ instead. (shrink)

This article distinguishes between Machian empiricism and the logical positivism of the Vienna Circle and associated philosophers. Mach's natural philosophy was a first order attempt to reform and reorganize physics, not a second order reconstruction of the "language" of physics. Mach's elements were not sense data but realistic events in the natural world and in minds, and Mach admitted unobserved elements as part of his world view. Mach's critique of metaphysics was far more subtle and concerned the elimination of sensory (...) visual imagery from natural science, leaving only concrete elements and functions, very much an inspiration to the young Einstein and Heisenberg and a useful engine of theory construction in physics. (shrink)

This chapter explores the metaphysical views about higher-order logic held by two individuals responsible for introducing it to philosophy: Gottlob Frege (1848–1925) and Bertrand Russell (1872–1970). Frege understood a function at first as the remainder of the content of a proposition when one component was taken out or seen as replaceable by others, and later as a mapping between objects. His logic employed second-order quantifiers ranging over such functions, and he saw a deep division in nature between objects and functions. (...) Russell understood propositional functions as what is obtained when constituents of propositions are replaced by variables, but eventually denied that they were entities in their own right. Both encountered contradictions when supposing there to exist as many objects as functions, and both adopted views about the meaningfulness of higher-order discourse that were difficult to state from within their own strictures. (shrink)

In recent years, there has been an increasing interest in thedevelopment of ontologically well-founded conceptual models for Information Systems in areas such as Service Management, Accounting Information Systems and Financial Reporting. Economic exchanges are central phenomena in these areas. For this reason, they occupy a prominent position in modelling frameworks such as the REA (Resource-EventAction) ISO Standard as well as the FIBO (Financial Industry BusinessOntology). In this paper, we begin a well-founded ontological analysisof economic exchanges inspired by a recent ontological (...) view on the nature of economic transactions. According to this view, what counts asan economic transaction is based on an agreement on the actions thatthe agents are committed to perform. The agreement is in turn based on convergent preferences about the course of action to bring about. This view enables a unified treatment of economic exchanges, regardless the object of the transaction, and complies with the view that all economictransactions are about services. In this paper, we start developing our analysis in the framework of the Unified Foundational Ontology (UFO). (shrink)

In these articles, I describe Cantor’s power-class theorem, as well as a number of logical and philosophical paradoxes that stem from it, many of which were discovered or considered (implicitly or explicitly) in Bertrand Russell’s work. These include Russell’s paradox of the class of all classes not members of themselves, as well as others involving properties, propositions, descriptive senses, class-intensions, and equivalence classes of coextensional properties. Part I focuses on Cantor’s theorem, its proof, how it can be used to manufacture (...) paradoxes, Frege’s diagnosis of the core difficulty, and several broad categories of strategies for offering solutions to these paradoxes. (shrink)

William James' Radical Empiricist essays offer a unique and powerful argument for direct realism about our perceptions of objects. This theory can be completed with some observations by Kant on the intellectual preconditions for a perceptual judgment. Finally James and Kant deliver a powerful blow to the representational theory of perception and knowledge, which applies quite broadly to theories of representation generally.

It is well known that the circumflex notation used by Russell and Whitehead to form complex function names in Principia Mathematica played a role in inspiring Alonzo Church's “lambda calculus” for functional logic developed in the 1920s and 1930s. Interestingly, earlier unpublished manuscripts written by Russell between 1903–1905—surely unknown to Church—contain a more extensive anticipation of the essential details of the lambda calculus. Russell also anticipated Schönfinkel's combinatory logic approach of treating multiargument functions as functions having other functions as value. (...) Russell’s work in this regard seems to have been largely inspired by Frege’s theory of functions and “value-ranges”. This system was discarded by Russell due to his abandonment of propositional functions as genuine entities as part of a new tack for solving Russell’s paradox. In this article, I explore the genesis and demise of Russell’s early anticipation of the lambda calculus. (shrink)

There is much discussion about whether the human mind is a computer, whether the human brain could be emulated on a computer, and whether at all physical entities are computers (pancomputationalism). These discussions, and others, require criteria for what is digital. I propose that a state is digital if and only if it is a token of a type that serves a particular function - typically a representational function for the system. This proposal is made on a syntactic level, assuming (...) three levels of description (physical, syntactic, semantic). It suggests that being digital is a matter of discovery or rather a matter of how we wish to describe the world, if a functional description can be assumed. Given the criterion provided and the necessary empirical research, we should be in a position to decide on a given system (e.g. the human brain) whether it is a digital system and can thus be reproduced in a different digital system (since digital systems allow multiple realization). (shrink)

I see four symbol grounding problems: 1) How can a purely computational mind acquire meaningful symbols? 2) How can we get a computational robot to show the right linguistic behavior? These two are misleading. I suggest an 'easy' and a 'hard' problem: 3) How can we explain and re-produce the behavioral ability and function of meaning in artificial computational agents?4) How does physics give rise to meaning?

A look at Mach's work on monocular stereoscopy with relation to Mach Bands and the sensation of space.

In this paper I explore a position on which it is possible to eliminate the need for postulating abstract objects through abstraction principles by treating terms for abstracta as ‘incomplete symbols’, using Russell's no-classes theory as a template from which to generalize. I defend views of this stripe against objections, most notably Richard Heck's charge that syntactic forms of nominalism cannot correctly deal with non-first-orderizable quantifcation over apparent abstracta. I further discuss how number theory may be developed in a system (...) treating apparent terms for numbers using these definitions. (shrink)

This chapter clarifies that it was the works Giuseppe Peano and his school that first led Russell to embrace symbolic logic as a tool for understanding the foundations of mathematics, not those of Frege, who undertook a similar project starting earlier on. It also discusses Russell’s reaction to Peano’s logic and its influence on his own. However, the chapter also seeks to clarify how and in what ways Frege was influential on Russell’s views regarding such topics as classes, functions, meaning (...) and denotation, etc., and summarizes the correspondence between Frege and Russell and the light it sheds on the philosophical logic of both. (shrink)

An overview of the problem of constructing extension combinatorially from qualities cum dispositional powers. In the model recommended here, Grassmann's algebra provides the combinatorial structure while Machian elements give the content.

The relationship between animal rights and contractarian theories of justice such as that of Rawls has long been vexed. In this article, I contribute to the debate over the possibility of inclusion of animals in Rawls’s theory of justice by critiquing the rationale he gives for their omission: that they do not possess moral personality. Contrary to Rawls’s assumptions, it appears that some animals may possess the moral powers that comprise moral personality, albeit to a lesser extent than most humans. (...) Some animals can act in pursuit of preferences and desires (and communicate them non-verbally), which might be taken as implicitly selecting a conception of the good; further, scientific research demonstrating inequity aversion and social play behaviors suggests that some animals can have a sense of justice relating to their own social groups. I conclude that Rawls’s theory needs to acknowledge any animals that can be considered to meet the threshold of moral personality, while the concept of moral personality as a range property may also require reconsideration. (shrink)