In this paper, we analyse how GPS-based navigation systems are transforming some of our intellectual virtues and then suggest two strategies to improve our practices regarding the use of such epistemic tools. We start by outlining the two main approaches in virtue epistemology, namely virtue reliabilism and virtue responsibilism. We then discuss how navigation systems can undermine five epistemic virtues, namely memory, perception, attention, intellectual autonomy, and intellectual carefulness. We end by considering two possible interlinked ways of trying to remedy (...) this situation: [i] redesigning the epistemic tool to improve the epistemic virtues of memory, perception, and attention; and [ii] the cultivation of cognitive diligence for wayfinding tasks scaffolding intellectual autonomy and carefulness. (shrink)

Legg and Hutter, as well as subsequent authors, considered intelligent agents through the lens of interaction with reward-giving environments, attempting to assign numeric intelligence measures to such agents, with the guiding principle that a more intelligent agent should gain higher rewards from environments in some aggregate sense. In this paper, we consider a related question: rather than measure numeric intelligence of one Legg- Hutter agent, how can we compare the relative intelligence of two Legg-Hutter agents? We propose an elegant answer (...) based on the following insight: we can view Legg-Hutter agents as candidates in an election, whose voters are environments, letting each environment vote (via its rewards) which agent (if either) is more intelligent. This leads to an abstract family of comparators simple enough that we can prove some structural theorems about them. It is an open question whether these structural theorems apply to more practical intelligence measures. (shrink)

After generalizing the Archimedean property of real numbers in such a way as to make it adaptable to non-numeric structures, we demonstrate that the real numbers cannot be used to accurately measure non-Archimedean structures. We argue that, since an agent with Artificial General Intelligence (AGI) should have no problem engaging in tasks that inherently involve non-Archimedean rewards, and since traditional reinforcement learning rewards are real numbers, therefore traditional reinforcement learning cannot lead to AGI. We indicate two possible ways traditional reinforcement (...) learning could be altered to remove this roadblock. (shrink)

Do we live in a computer simulation? I will present an argument that the results of a certain experiment constitute empirical evidence that we do not live in, at least, one type of simulation. The type of simulation ruled out is very specific. Perhaps that is the price one must pay to make any kind of Popperian progress.

Can an AGI create a more intelligent AGI? Under idealized assumptions, for a certain theoretical type of intelligence, our answer is: “Not without outside help”. This is a paper on the mathematical structure of AGI populations when parent AGIs create child AGIs. We argue that such populations satisfy a certain biological law. Motivated by observations of sexual reproduction in seemingly-asexual species, the Knight-Darwin Law states that it is impossible for one organism to asexually produce another, which asexually produces another, and (...) so on forever: that any sequence of organisms (each one a child of the previous) must contain occasional multi-parent organisms, or must terminate. By proving that a certain measure (arguably an intelligence measure) decreases when an idealized parent AGI single-handedly creates a child AGI, we argue that a similar Law holds for AGIs. (shrink)

I present an argument that for any computer-simulated civilization we design, the mathematical knowledge recorded by that civilization has one of two limitations. It is untrustworthy, or it is weaker than our own mathematical knowledge. This is paradoxical because it seems that nothing prevents us from building in all sorts of advantages for the inhabitants of said simulation.

This article examines two questions about scientists’ search for knowledge. First, which search strategies generate discoveries effectively? Second, is it advantageous to diversify search strategies? We argue pace Weisberg and Muldoon, “Epistemic Landscapes and the Division of Cognitive Labor”, that, on the first question, a search strategy that deliberately seeks novel research approaches need not be optimal. On the second question, we argue they have not shown epistemic reasons exist for the division of cognitive labor, identifying the errors that led (...) to their conclusions. Furthermore, we generalize the epistemic landscape model, showing that one should be skeptical about the benefits of social learning in epistemically complex environments. (shrink)

In their thought-provoking paper, Legg and Hutter consider a certain abstrac- tion of an intelligent agent, and define a universal intelligence measure, which assigns every such agent a numerical intelligence rating. We will briefly summarize Legg and Hutter’s paper, and then give a tongue-in-cheek argument that if one’s goal is to become more intelligent by cultivating music appreciation, then it is bet- ter to use classical music (such as Bach, Mozart, and Beethoven) than to use more recent pop music. The (...) same argument could be adapted to other media: books beat films, card games beat first-person shooters, parables beat dissertations, etc. We leave it to the reader to decide whether this argument tells us something about classical music, something about Legg-Hutter intelligence, or something about both. (shrink)

We define a notion of the intelligence level of an idealized mechanical knowing agent. This is motivated by efforts within artificial intelligence research to define real-number intelligence levels of compli- cated intelligent systems. Our agents are more idealized, which allows us to define a much simpler measure of intelligence level for them. In short, we define the intelligence level of a mechanical knowing agent to be the supremum of the computable ordinals that have codes the agent knows to be codes (...) of computable ordinals. We prove that if one agent knows certain things about another agent, then the former necessarily has a higher intelligence level than the latter. This allows our intelligence no- tion to serve as a stepping stone to obtain results which, by themselves, are not stated in terms of our intelligence notion (results of potential in- terest even to readers totally skeptical that our notion correctly captures intelligence). As an application, we argue that these results comprise evidence against the possibility of intelligence explosion (that is, the no- tion that sufficiently intelligent machines will eventually be capable of designing even more intelligent machines, which can then design even more intelligent machines, and so on). (shrink)

Jennifer Nagel (2010) has recently proposed a fascinating account of the decreased tendency to attribute knowledge in conversational contexts in which unrealized possibilities of error have been mentioned. Her account appeals to epistemic egocentrism, or what is sometimes called the curse of knowledge, an egocentric bias to attribute our own mental states to other people (and sometimes our own future and past selves). Our aim in this paper is to investigate the empirical merits of Nagel’s hypothesis about the psychology involved (...) in knowledge attribution. (shrink)

Can you find an xy-equation that, when graphed, writes itself on the plane? This idea became internet-famous when a Wikipedia article on Tupper’s self-referential formula went viral in 2012. Under scrutiny, the question has two flaws: it is meaningless (it depends on fonts) and it is trivial. We fix these flaws by formalizing the problem.

This paper argues that higher-order doubt generates an epistemic dilemma. One has a higher-order doubt with regards to P insofar as one justifiably withholds belief as to what attitude towards P is justified. That is, one justifiably withholds belief as to whether one is justified in believing, disbelieving, or withholding belief in P. Using the resources provided by Richard Feldman’s recent discussion of how to respect one’s evidence, I argue that if one has a higher-order doubt with regards to P, (...) then one is not justified in having any attitude towards P. Otherwise put: No attitude towards the doubted proposition respects one’s higher-order doubt. I argue that the most promising response to this problem is to hold that when one has a higher-order doubt about P, the best one can do to respect such a doubt is to simply have no attitude towards P. Higher-order doubt is thus much more rationally corrosive than non-higher-order doubt, as it undermines the possibility of justifiably having any attitude towards the doubted proposition. (shrink)

We construct a machine that knows its own code, at the price of not knowing its own factivity.

If we define tradition too hastily we leave to one side the question of what the relevance of tradition is for us. Here the concept of tradition is opened up by considering the different views of it taken by Hannah Arendt, Michael Oakeshott and Alasdair MacIntyre. We see that each has put tradition into a fully developed picture of what our predicament is in modernity; and that each has differed in their assessment of what our relation to tradition is or (...) should be. Arendt sees tradition as something which no longer conditions action, Oakeshott sees tradition as something which conditions all action, and MacIntyre sees tradition as something which should condition right action. In each case, the view of tradition is clearly one element in an attempt to see how the most important constituent elements of human existence – variously called the human condition, human conduct, or human virtue – should be understood in a modernity which is ours because it has put the traditional concept of tradition into question. (shrink)

A variation of Fitch’s paradox is given, where no special rules of inference are assumed, only axioms. These axioms follow from the familiar assumptions which involve rules of inference. We show (by constructing a model) that by allowing that possibly the knower doesn’t know his own soundness (while still requiring he be sound), Fitch’s paradox is avoided. Provided one is willing to admit that sound knowers may be ignorant of their own soundness, this might offer a way out of the (...) paradox. (shrink)

This is an appendix containing the stimulus materials for the experiments reported in the paper ‘Salient Alternatives in Perspective.’.

Reinhardt’s conjecture, a formalization of the statement that a truthful knowing machine can know its own truthfulness and mechanicalness, was proved by Carlson using sophisticated structural results about the ordinals and transfinite induction just beyond the first epsilon number. We prove a weaker version of the conjecture, by elementary methods and transfinite induction up to a smaller ordinal.

A suprise may occur if we use a similar strategy to the Liar's paradox to mathematically formalize "This sentence does not contain the symbol X".

In his dissertation, Wadge defined a notion of guessability on subsets of the Baire space and gave two characterizations of guessable sets. A set is guessable if and only if it is in the second ambiguous class, if and only if it is eventually annihilated by a certain remainder. We simplify this remainder and give a new proof of the latter equivalence. We then introduce a notion of guessing with an ordinal limit on how often one can change one’s mind. (...) We show that for every ordinal $\alpha$, a guessable set is annihilated by $\alpha$ applications of the simplified remainder if and only if it is guessable with fewer than $\alpha$ mind changes. We use guessability with fewer than $\alpha$ mind changes to give a semi-characterization of the Hausdorff difference hierarchy, and indicate how Wadge’s notion of guessability can be generalized to higher-order guessability, providing characterizations of ${\mathbf{\Delta}}^{0}_{\alpha}$ for all successor ordinals $\alpha\gt 1$. (shrink)

A biologically unavoidable sequence is an infinite gender sequence which occurs in every gendered, infinite genealogical network satisfying certain tame conditions. We show that every eventually periodic sequence is biologically unavoidable (this generalizes König's Lemma), and we exhibit some biologically avoidable sequences. Finally we give an application of unavoidable sequences to cellular automata.

Elementary patterns of resemblance notate ordinals up to the ordinal of Pi^1_1-CA_0. We provide ordinal multiplication and exponentiation algorithms using these notations.

This paper argues that while Heidegger showed the importance of architecture in altering people's modes of being to avoid global ecological destruction, the work of Christopher Alexander offered a far more practical orientation to deal with this problem.

Aristotle sometimes claims that the perception of special perceptibles by their proper sense is unerring. This claim is striking, since it might seem that we quite often misperceive things like colours, sounds and smells. Aristotle also claims that the perception of common perceptibles is more prone to error than the perception of special perceptibles. This is puzzling in its own right, and also places constraints on the interpretation of. I argue that reading Alexander of Aphrodisias on perceptual error can (...) help to make good sense of both of Aristotle’s claims. (shrink)

ABSTRACT: Alexander of Aphrodisias’ commentaries on Aristotle’s Organon are valuable sources for both Stoic and early Peripatetic logic, and have often been used as such – in particular for early Peripatetic hypothetical syllogistic and Stoic propositional logic. By contrast, this paper explores the role Alexander himself played in the development and transmission of those theories. There are three areas in particular where he seems to have made a difference: First, he drew a connection between certain passages from Aristotle’s (...) Topics and Prior Analytics and the Stoic indemonstrable arguments, and, based on this connection, appropriated at least four kinds of Stoic indemonstrables as Aristotelian. Second, he developed and made use of a specifically Peripatetic terminology in which to describe and discuss those arguments – which facilitated the integration of the indemonstrables into Peripatetic logic. Third, he made some progress towards a solution to the problem of what place and interpretation the Stoic third indemonstrables should be given in a Peripatetic and Platonist setting. Overall, the picture emerges that Alexander persistently (if not always consistently) presented passages from Aristotle’s logical œuvre in a light that makes it appear as if Aristotle was in the possession of a Peripatetic correlate to the Stoic theory of indemonstrables. (shrink)

The cognizability of the world according to Alexander von Humboldt: the experience of landscape. According to Alexander von Humboldt, geography ought to aim to go beyond the modern attitude of seeing knowledge as being the result of a spatial and temporal abstraction from the real world. Von Humboldt wishes to create a new theory of knowledge, one that instead of just simplifying, schematizing, and categorizing reality is able to highlight its multiple meanings, its diversity of perspectives, and its (...) hermeneutical keys. Von Humboldt’s project strives to achieve a universal cognition of the world (or a universal geography) by claiming the centrality of the experience of landscape. This is evidence for von Humboldt’s far-sightedness, since he anticipated the present day trend of considering landscape as a corner stone of interdisciplinary enquiries into the meaning of the world. (shrink)

Samuel Alexander was a central figure of the new wave of realism that swept across the English-speaking world in the early twentieth century. His Space, Time, and Deity (1920a, 1920b) was taken to be the official statement of realism as a metaphysical system. But many historians of philosophy are quick to point out the idealist streak in Alexander’s thought. After all, as a student he was trained at Oxford in the late 1870s and early 1880s as British Idealism (...) was beginning to flourish. This naturally had some effect on his philosophical outlook and it is said that his early work is overtly idealist. In this paper I examine his neglected and understudied reactions to British Idealism in the 1880s. I argue that Alexander was not an idealist during this period and should not be considered as part of the British Idealist tradition, philosophically speaking. (shrink)

We are currently witnessing a renewal of broad public interest in the life and career of Alexander Hamilton – justly famed as an American founder. This volume examines the possible present-day significance of the man, noting that this is not the first revival of interest in the statesman. Hamilton was a major background figure in the GOP politics of the Gilded Age, with the powerful US Senator Henry Cabot Lodge, Sr. drawing on Hamilton to inspire a new, assertive American (...) role in the world. Hamilton was first prominent as a soldier and aide to General Washington, and believed in centralization of power in the federal government and an energetic presidency. He founded the American financial system as the first Secretary of the Treasury, and was a great moving force of America’s first nationalist-conservative party – the Federalists. As shown here, close scholarly attention to Lodge’s biography brings out the darker sides of the celebrated hero. Hamilton’s deeper conviction was the need of an elitist “aristocratic republic,” and he was an advocate of military-commercial empire. The Gilded Age Hamilton revival helped inspire the Spanish-American war of 1898 and an American overseas empire. This book will be of interest for students and professionals in political philosophy, political science, American history and American studies. (shrink)

Alexander Livingston’s fascinating examination of William James’ work in Damn Great Empires!: William James and the Politics of Pragmatism argues that “William James was an important and innovative theorist of politics.” Livingston claims that James’ anti-imperialist arguments in the letters, editorials, and speeches collected in the Nachlass are an important part of James’ philosophical corpus that provides a critical lens through which the rest of James’ work can be fruitfully read. Though Livingston is not the first to propose a (...) political reexamination of James’ thought, his careful and systematic book-length work provides one of the strongest and most sustained arguments for a historical reinterpretation of James. In this review, I point out some of the strengths and limitations of Livingston's project. (shrink)

Se presenta la traducción de los capítulos 1 y 2 del libro Spinoza and Time del filósofo judío Samuel Alexander, el que deriva de la Cuarta Conferencia en Memoria de Arthur Davis, dictada ante la Jewish Historical Society de Inglaterra, el domingo 1 de mayo, 1921/23 de Nisan, 5681. La traducción responde a la necesidad de contar con un acercamiento en castellano al corpus alexandriano, ya que no existe al día de hoy una traducción total de sus libros. A (...) su vez el traductor encuentra motivación en el redescubrimiento de autores judíos que aborden el tema de la temporalidad. (shrink)

To study the influence of divinity on cosmos, Alexander uses the notions of ‘fate’ and ‘providence,’ which were common in the philosophy of his time. In this way, he provides an Aristotelian interpretation of the problems related to such concepts. In the context of this discussion, he offers a description of ‘nature’ different from the one that he usually regards as the standard Aristotelian notion of nature, i.e. the intrinsic principle of motion and rest. The new coined concept is (...) a ‘cosmic’ nature that can be identified with both ‘fate’ and ‘divine power,’ which are the immediate effect of providence upon the world. In the paper it is exposed how the conception of providence defended by Alexander means a rejection of the divine care of the particulars, since the divinities are only provident for species. Several texts belonging to the Middle Platonic philosophers will convince us that such thinkers (and not directly Aristotle) are the origin of the thesis that will be understood as the conventional Aristotelian position, namely that divinity only orders species but not individuals. (shrink)

Science has always strived for objectivity, for a ‘‘view from nowhere’’ that is not marred by ideology or personal preferences. That is a lofty ideal toward which perhaps it makes sense to strive, but it is hardly the reality. This collection of thirteen essays assembled by Denis R. Alexander and Ronald L. Numbers ought to give much pause to scientists and the public at large, though historians, sociologists and philosophers of science will hardly be surprised by the material covered (...) here. (shrink)

The Harvard physiologists Alexander Forbes (1882-1965) and Walter Bradford Cannon (1871-1945) had an enormous impact on the physiology and neuroscience of the twentieth century. In addition to their voluminous scientific output, they also used literature to reflect on the nature of science itself and its social significance. Forbes wrote a novel, The Radio Gunner, a literary memoir, Quest for a Northern Air Route, and several short stories. Cannon, in addition to several books of popular science, wrote a literary memoir (...) in the last year of his life, The Way of an Investigator. The following will provide a brief overview of the life and work of Forbes and Cannon. It will then discuss the way that Forbes used literature to express his views about the changing role of communications technology in the military, and his evolving view of the nervous system itself as a kind of information-processing device. It will go on to discuss the way that Cannon used literature to articulate the horrors he witnessed on the battlefield, as well as to contribute to the philosophy of science, and in particular, to the logic of scientific discovery. Finally, it will consider the historical and philosophical value of deeper investigation of the literary productions of scientists. (shrink)

Samuel Alexander was one of the first realists of the twentieth century to defend a theory of categories. He thought that the categories are genuinely real and grounded in the intrinsic nature of Space-Time. I present his reduction of the categories in terms of Space-Time, articulate his account of categorial structure and completeness, and offer an interpretation of what he thought the nature of the categories really were. I then argue that his theory of categories has some advantages over (...) competing theories of his day, and finally draw some important lessons that we can learn from his realist yet reductionist theory of categories. (shrink)

In this paper I discuss two attempts to challenge mainstream liberal education, by Hannah Arendt and by contemporary Israeli philosopher Hanan Alexander. Arendt and Alexander both identify problems in liberal-secular modern politics and present alternatives based on reconnecting politics and education to tradition. I analyze their positions and bring them into a dialogue that suggests a complex conception of education that avoids many of the pitfalls of modern liberal thought. First, I outline Arendt and Alexander’s educational views (...) and discuss their similarities, arguing that both may be understood as opposed to the modern attempt to adopt a «view from nowhere» at the world. Next, I suggest that Alexander’s view may benefit from adopting Arendt’s conceptions of tradition and authority. In the consecutive section, I argue that Alexander sheds light on significant problems in Arendt’s approach to education, problems his understanding of critical dialogue can help solve. The succeeding section joins the two views together to form an approach I call «critical traditionalism», and examines it against prevailing approaches to political education. I conclude by pointing to an important point overlooked by both Arendt and Alexander, namely the need for internal political struggle within each tradition. (shrink)

The Human Eros is an outstanding accomplishment, a work of genuine wisdom. It combines meticulous scholarship with an enviable mastery of cultural and philosophical history to address pressing concerns of human beings, nature, and philosophy itself. While comprised of essays spanning over two decades, the book presents a powerfully coherent philosophical vision which Alexander names, alternately, “eco-ontology,” “humanistic naturalism,” and “ecological humanism.” Whatever the name, the approach is humane and intellectually compelling, offering insight and direction to pragmatism, aesthetics, existentialism, (...) environmental philosophy, and anyone in search of wisdom. It is an immensely readable book, too, leavening .. (shrink)

This is a review of Alexander Bird's book on Thomas Kuhn.

Book Review of Christopher Alexander, 'The Nature of Order: An Essay on the Art of Building and the Nature of the Universe, Book Two, The Process of Creating Life'.

One of the main philosophical works by Alexander of Aphrodisias, De principiis, is lost in its original Greek text, but it is preserved in three extant Medieval Semitic versions, one in Syriac and two in Arabic, which were written in the Near East between 500 and 950 AD. These versions are not totally identical and, as we have shown in 2012, they are in a rather complex textual relationship. As we will show in this article, a tentative reconstruction of (...) the lost text should be based upon an attentive and point‑to‑point comparative analysis of some aspect of all three versions. We have tentatively called the abore way “critical translation”. (shrink)

The four volume work of which this book is a part has been praised as one of the great monuments of theoretical scholarship in sociology of the century. The praise has come largely from the older generation of students of Parsons and Merton. A great deal of dispraise has come from Alexander's own generation. Alan Sica's (1983) brilliant, biting review of Volume I speaks for many of Alexander's peers. Volume II is likely to be even more controversial. This (...) volume begins the substantive task of the text, the reinterpretation of the 'theoretical logic' of the classical sociologists, a reinterpretation governed by the intention of transcending the errors and limitations of the 'presuppositional' reasoning of the classical thinkers. For Alexander's sociological audience the second volume is the beginning of what really counts, and Volume II is indeed quite a different affair from the first, 'philosophical' volume: the prose tightens, and the air of getting down to work is palpable. (shrink)

Alexander James Dallas' An Exposition of the Causes and Character of the War was written as part of an effort by the then US government to explain and justify its declaration of war in 1812. However publication coincided with the ratification of the Treaty of Ghent, which ended the War. The Exposition is especially interesting for the insight it provides into the self-constraint of American foreign policy and of the conduct of a war. The focus is on the foreign (...) policy of the early republic and the related philosophy of law and war. A central idea is that international law should chiefly benefit those remaining at peace. -/- Dallas was a Philadelphian who settled there in 1783, the year of the Peace of Paris which ended the War of Independence, arriving from Jamaica after a British education. He wrote much on law, becoming the first recorder of cases before the U.S. Supreme Court. He later served as Secretary of the Commonwealth of Pennsylvania, and federal district attorney for Eastern Pennsylvania, appointed by President Jefferson. He was appointed Secretary of Treasury by President Madison. -/- In this edition the original text is presented with annotations to help identify persons and events of interest. The editor has also added an Introduction, a Bibliography, a short Chronology of Dallas' life and the events of the War, and an analytical Index. As such this annotated edition presents a key primary source in a manner helpful to research for students of the early Republic. (shrink)

Part 1 of 2, this is an introductory critical review of Michelle Alexander's "The New Jim Crow: Mass Incarceration In The Age of Colorblindness" (The New Press, 2010). See part 2: "Toward Détournement of The New Jim Crow" for an advanced critical reading.

This paper argues for the central role of Martin Heidegger’s thought in Alexander Dugin’s political philosophy or political theory. Part one is a broad overview of the place of Heidegger in Dugin’s political theory. Part two outlines how Dugin uses Heidegger to elaborate a specifically Russian political theory. Part three shows how apparently unphilosophical political concepts from Dugin’s political theory have a Heideggerian meaning for him. Because of what he regards as a homology between the philosophical and the political, (...) his readers must always be aware of the philosophical significance of his political concepts and vice versa. Tracing Heidegger’s central role helps clarify Dugin’s political thought. (shrink)

Scottish philosophy and intellectual history have become the increasingly fashionable fields of academic studies. Alexander Broadie, one of the pioneers and an accomplished scholar of the Scottish Enlightenment, returns to the basic question, namely, “what is Scottish philosophy?”, and presents a comprehensive work on the history of Scottish philosophy. Broadie successfully elucidates the nature and significance of Scottish philosophy both historically and philosophically. He argues that Scottish philosophy must be studied in its historical context, for it is not only (...) a philosophical enterprise but also a persistent tradition which has united the Scottish nation for centuries. The advancements in science, literature, politics, and culture in Scotland would be extremely unlikely, if not impossible, without such an intellectual culture established by thinkers in that tradition. This article is intended as a review of Broadie’s A History of Scottish Philosophy in the background of his shifting academic interests from philosophy to history while he holds the professorship in University of Glasgow. His commitment to Scottish philosophical culture deserves the attention of contemporary historians and philosophers, for his work opens up a space for dialogue between intellectual history and history of philosophy, an issue addressed at the end of this paper. (shrink)

This paper examines the concepts of borderlands, borderscapes, and bordermemories as cultural discursive practices that have been extensively presented and analyzed in an increasing number of theoretical works in Border Studies. Contemporary American Ukrainian writers have made attempts to introduce their hybrid experience and include it into American culture. One of them is Alexander J. Motyl, whose novel Fall River (2014) is analyzed as an example of border writing. The novel is based on the author’s narrative memory, rooted in (...) his mother’s stories about Ukraine and their family members’ crossings of borders in the interwar period and belonging to two cultures, Ukrainian and American, that shaped their identities. (shrink)