Extension project implementers ensure that activities and community linkages are not hampered by the challenges posed by the Coronavirus Disease 2019 (COVID-19) pandemic. This study presents the lived experiences of extension project implementers in providing community services in the midst of pandemic. Specifically, their experiences, reflections, and insights in the implementation of extension projects were enumerated. Eleven extensionists who were directly involved in and capable of conducting University extension projects were purposefully chosen as participants. Descriptive phenomenology research design was employed. (...) Data were analyzed through Colaizzi’s (1978) method. The experiences of the extension project implementers were themed as follows: difficulties in planning and implementation; support system; reflections and insights; and outstanding characteristics of the implementers. These experiences, as well as the extent to which extension projects have been implemented, will be taken into account in future planning, implementation, and impact assessments. (shrink)

This project continues our interdisciplinary research into computational and cognitive aspects of narrative comprehension. Our ultimate goal is the development of a computational theory of how humans understand narrative texts. The theory will be informed by joint research from the viewpoints of linguistics, cognitive psychology, the study of language acquisition, literary theory, geography, philosophy, and artificial intelligence. The linguists, literary theorists, and geographers in our group are developing theories of narrative language and spatial understanding that are being tested by the (...) cognitive psychologists and language researchers in our group, and a computational model of a reader of narrative text is being developed by the AI researchers, based in part on these theories and results and in part on research on knowledge representation and reasoning. This proposal describes the knowledge-representation and natural-language-processing issues involved in the computational implementation of the theory; discusses a contrast between communicative and narrative uses of language and of the relation of the narrative text to the story world it describes; investigates linguistic, literary, and hermeneutic dimensions of our research; presents a computational investigation of subjective sentences and reference in narrative; studies children’s acquisition of the ability to take third-person perspective in their own storytelling; describes the psychological validation of various linguistic devices; and examines how readers develop an understanding of the geographical space of a story. This report is a longer version of a project description submitted to NSF. This document, produced in May 2007, is a L ATEX version of Technical Report 89-07 (Buffalo: SUNY Buffalo Department of Computer Science, August 1989), with slightly.. (shrink)

In order to better understand the topic of hope, this paper argues that two separate theories are needed: One for hoping, and the other for hopefulness. This bifurcated approach is warranted by the observation that the word ‘hope’ is polysemous: It is sometimes used to refer to hoping and sometimes, to feeling or being hopeful. Moreover, these two senses of 'hope' are distinct, as a person can hope for some outcome yet not simultaneously feel hopeful about it. I argue that (...) this distinction between hoping and hopefulness is not always observed or fully appreciated in the literature and has consequently caused much confusion. This paper then sketches what theorizing about hope looks like in light of this clarification and discusses some of its implications. (shrink)

What is the phenomenology of hope? A common view is that hope has a generally positive and pleasant affective tone. This rosy depiction, however, has recently been challenged. Certain hopes, it has been objected, are such that they are either entirely negative in valence or neutral in tone. In this paper, I argue that this challenge has only limited success. In particular, I show that it only applies to one sense of hope but leaves another sense—one that is implicitly but (...) widely employed in the hope literature—untouched. Moreover, I argue that hope construed in this latter sense is inherently positively valenced. The paper concludes by discussing some of the implications of this defense of hope's positive phenomenology, including the ontological question of whether hope is an emotion. (shrink)

This paper proposes a new framework for thinking about hope, with certain unexpected consequences. Specifically, I argue that a shift in focus from locutions like “x hopes that” and “x is hoping that” to “x is hopeful that” and “x has hope that” can improve our understanding of hope. This approach, which emphasizes hopefulness as the central concept, turns out to be more revealing and fruitful in tackling some of the issues that philosophers have raised about hope, such as the (...) question of how hope can be distinguished from despair or how people can have differing strengths in hope. It also allows us to see that many current accounts of hope, far from being rivals, are actually compatible with one another. (shrink)

This book aims to develop certain aspects of Gottlob Frege’s theory of meaning, especially those relevant to intensional logic. It offers a new interpretation of the nature of senses, and attempts to devise a logical calculus for the theory of sense and reference that captures as closely as possible the views of the historical Frege. (The approach is contrasted with the less historically-minded Logic of Sense and Denotation of Alonzo Church.) Comparisons of Frege’s theory with those of Russell and others (...) are given. It is in the end shown that developing Frege’s theory in these ways reveals serious problems hitherto largely unnoticed, including those possibly rendering a Fregean intensional logic inconsistent even if his naïve class theory is excluded. (shrink)

Learner’s attitude towards modular distance learning catches uncertainties as a world crisis occurs up to this point. As self-learning modules (SLMs) become a supplemental means of learning in new normal education, this study investigated efficiency towards the learners’ attitude and performance. Specifically, the study described the learners’ profile and their attitude and performance towards SLMs. It also ascertained the relationship between the learner’s profile with their attitude and performance, as well as the relationship between attitude and performance relevant to SLMs. (...) A descriptive-correlational research design was employed in the study with 88 non-randomly chosen participants from secondary schools in West Philippines. The learners’ GWA (general weighted average) was used to determine their performance and a survey questionnaire for their profile and attitude. Frequency counts, percentage, and Spearman’s rank correlation coefficient were used to analyze the data gathered with the aid of Jamovi software. Results revealed a strong correlation between attitude and performance, but there was no link between learner’s attitude and performance as to the learner’s profile. It was affirmed that attitude is a compelling factor that is related with performance. Hence, this research has broader ramifications that can direct the Bureau of Learning Delivery to orient the module writers to further contextualize the learning materials that can compound learner’s disposition and academic performance. (shrink)

With overwhelming conviction the standard-interpretation of the Aristotelian philosophy translates the Greek ousia with the Latin substantia. There are many reasons, that this translation and equation is false, in a short overview I name six of them.

This essay argues that reparations for wrongs by one's ancestors can be justified. Differential benefits to those descended from victims of one's ancestors is discrimination which can be justified by one's right to be partial to one's ancestors, doing what they, with clearer thinking, would have done--namely compensating their victims. So, while there is no obligation to discriminate, one has a right to, in virtue of one's partiality towards one's ancestors.

In this introduction, before summarizing the contents of the volume, the authors characterize materialism as it is understood within the philosophy of mind, and they identify three respects in which materialism is on the wane.

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)

In 2016, a multidisciplinary body of scholars within the International Commission on Stratigraphy—the Anthropocene Working Group—recommended that the world officially recognize the Anthropocene as a new geological epoch. The most contested claim about the Anthropocene, that humans are a major geological and environmental force on par with natural forces, has proven to be a hotbed for discussion well beyond the science of geology. One reason for this is that it compels many natural and social scientists to confront problems and systems (...) that transgress traditional disciplinary boundaries, and as a result, calls for interdisciplinary research are now gaining traction. Proponents of such transgressions have dubbed the new scientific order that will result “Anthropocene Science”, and rhetoric notwithstanding, such discussions exemplify how recent changes within science justify rethinking a prevailing image of how science is done, and with it, the working relationship between scholars in the humanities, natural scientists, and social scientists. (shrink)

The proliferation of conspiracy theories poses a significant threat to democratic decision-making. To counter this threat, many political theorists advocate countering conspiracy theories with ‘more speech’ (or ‘counterspeech’). Yet conspiracy theories are notoriously resistant to counterspeech. This article aims to conceptualise and defend a novel form of counterspeech – narrative counterspeech – that is singularly well-placed to overcome this resistance. My argument proceeds in three steps. First, I argue that conspiracy theories pose a special problem for counterspeech for three interconnected (...) reasons relating to salience, emotion and internal coherence. Drawing on recent work in social epistemology, philosophy of emotion and cognitive science, I then demonstrate that narrative forms of counterspeech constitute an apt response to this diagnosis. Finally, I forestall two objections: the first questions the likely effectiveness of narrative counterspeech; the second insists that, even if it were effective, it would remain unacceptably manipulative. Neither objection, I contend, is ultimately compelling. (shrink)

Certain commentators on Russell's “no class” theory, in which apparent reference to classes or sets is eliminated using higher-order quantification, including W. V. Quine and (recently) Scott Soames, have doubted its success, noting the obscurity of Russell’s understanding of so-called “propositional functions”. These critics allege that realist readings of propositional functions fail to avoid commitment to classes or sets (or something equally problematic), and that nominalist readings fail to meet the demands placed on classes by mathematics. I show that Russell (...) did thoroughly explore these issues, and had good reasons for rejecting accounts of propositional functions as extra-linguistic entities. I argue in favor of a reading taking propositional functions to be nothing over and above open formulas which addresses many such worries, and in particular, does not interpret Russell as reducing classes to language. (shrink)

Is reality the basis of everything or has reality itself an other basis? What makes reality – not the real things – to be active, to exist? The question of what is real seems to be an easy question, because in our daily lives we are and must be naive realists. We ourselves, the things around us, the world, the facts, all that is real. there must be several concepts of reality if we want to say that not only physical (...) or material things of everyday life are real, e. g. numbers, π, Dr. Faustus, thoughts, emotions and other things. On the other hand, given the difference of classical physics and modern physics, we see that even that form of knowledge, which seems to be most responsible for reality, natural science, cannot give the desired uniqueness in terms of what itself wants or needs to understand as real. Alternatively, when we see that nothing can be and nothing can be real without being in a world, and when we understand the world as the order of things, which I call worldI , then this leads us to the speculative answer that it is exactly the “unreal” worldI which is the reason why the everyday reality, worldI I , is real. The worldI is the basis for the reality of our empirical worldI I . The considerations presented here have nothing to do with the idealistic conception of possibility, founded in the power of the subject, nor with the existential concept of potentiality, founded in the Entwurf des Daseins. (shrink)

1. A multidisciplinary group of scholars within the International Commission on Stratigraphy – known as the Anthropocene Working Group – recently recommended the Anthropocene as a new geological ep...

This paper argues that the Theaetetus establishes conditions on objects of knowledge which entail that only of Forms can there be knowledge. Plato's arguments for this are valid. The principles needed to make Plato's premises true will turn out to have deep connection with important parts of Plato's over-all theory, and to have consequences which Plato, in the middle dialogues, seems to welcome on other grounds as well.

International trade enables countries to expand their markets, access more products, improve resource allocation, and boost economic growth by leveraging comparative advantage and specialization. The aim of this article is to analyze the primary factors that influence Malawi’s international trade flows. The study is relevant because it examines Malawi’s trade patterns with its main partners, which include surrounding nations and traditional trade allies. The novelty is that, through the analysis, the research offers valuable insights into the primary factors that influence (...) Malawi’s international commerce. Panel data is gathered from various sources, including the International Monetary Fund (IMF) and World Bank, covering the period from 2000 to 2023 for 11 countries that are trading partners with Malawi. We employ the Bayesian Mindsponge gravity methodology. The results show that the economic size (characterized by the gross domestic product) of the origin and destination countries, bilateral agreements, and the population size of the destination country have a beneficial impact on Malawi’s exports. In conclusion, Malawi’s export performance is significantly enhanced by the economic size of both Malawi and its trading partners, the existence of bilateral agreements, and the population size of the destination countries, underscoring the importance of strategic economic partnerships and targeted trade policies in boosting Malawi’s international trade. We recommend Malawi authorities focus on strengthening bilateral agreements and targeting trade relationships with larger and more populous economies to boost international trade. (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)

In 1903, in _The Principles of Mathematics_ (_PoM_), Russell endorsed an account of classes whereupon a class fundamentally is to be considered many things, and not one, and used this thesis to explicate his first version of a theory of types, adding that it formed the logical justification for the grammatical distinction between singular and plural. The view, however, was short-lived; rejected before _PoM_ even appeared in print. However, aside from mentions of a few misgivings, there is little evidence about (...) why he abandoned this view. In this paper, I speculate as to what those reasons were, and evaluate them in light of recent work and interest in plural logic. (shrink)

Schrödinger discusses what an elementary particle is. This essay originally appeared in the journal Endeavour.

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)

1) Introduction. 2) The key libertarian insight into property and orthodox libertarianism’s philosophical confusion. 3) Clearer distinctions for applying to what follows: abstract liberty; practical liberty; moral defences; and critical rationalism. 4) The two dominant (‘Lockean’ and ‘Hobbesian’) conceptions of interpersonal liberty. 5) A general account of libertarianism as a subset of classical liberalism and defended from a narrower view. 6) Two abstract (non-propertarian, non-normative) theories of interpersonal liberty developed and defended: ‘the absence of interpersonal initiated imposed constraints on want-satisfaction’, (...) abbreviated to ‘no initiated imposed costs’; and ‘no imposed costs’. 7) Practical implications for both main abstract conceptions of liberty derived and compared. 8) How this positive analysis relates to morals. 9) Concluding conjectures: the main abstract theory of liberty captures the relevant interpersonal conception; the new paradigm of libertarianism solves the old one’s problems. (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)

Attempts to evaluate a belief or argument on the basis of its cause or origin are usually condemned as committing the genetic fallacy. However, I sketch a number of cases in which causal or historical factors are logically relevant to evaluating a belief, including an interesting abductive form that reasons from the best explanation for the existence of a belief to its likely truth. Such arguments are also susceptible to refutation by genetic reasoning that may come very close to the (...) standard examples given of supposedly fallacious genetic reasoning. (shrink)

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)

What sort of logic do we get if we adopt a supervaluational semantics for vagueness? As it turns out, the answer depends crucially on how the standard notion of validity as truth preservation is recasted. There are several ways of doing that within a supervaluational framework, the main alternative being between “global” construals (e.g., an argument is valid iff it preserves truth-under-all-precisifications) and “local” construals (an argument is valid iff, under all precisifications, it preserves truth). The former alternative is by (...) far more popular, but I argue in favor of the latter, for (i) it does not suffer from a number of serious objections, and (ii) it makes it possible to restore global validity as a defined notion. (shrink)

Functional decomposition is an important goal in the life sciences, and is central to mechanistic explanation and explanatory reduction. A growing literature in philosophy of science, however, has challenged decomposition-based notions of explanation. ‘Holists’ posit that complex systems exhibit context-sensitivity, dynamic interaction, and network dependence, and that these properties undermine decomposition. They then infer from the failure of decomposition to the failure of mechanistic explanation and reduction. I argue that complexity, so construed, is only incompatible with one notion of decomposition, (...) which I call ‘atomism’, and not with decomposition writ large. Atomism posits that function ascriptions must be made to parts with minimal reference to the surrounding system. Complexity does indeed falsify atomism, but I contend that there is a weaker, ‘contextualist’ notion of decomposition that is fully compatible with the properties that holists cite. Contextualism suggests that the function of parts can shift with external context, and that interactions with other parts might help determine their context-appropriate functions. This still admits of functional decomposition within a given context. I will give examples based on the notion of oscillatory multiplexing in systems neuroscience. If contextualism is feasible, then holist inferences are faulty—one cannot infer from the presence of complexity to the failure of decomposition, mechanism, and reductionism. (shrink)

Russell discovered the classes version of Russell's Paradox in spring 1901, and the predicates version near the same time. There is a problem, however, in dating the discovery of the propositional functions version. In 1906, Russell claimed he discovered it after May 1903, but this conflicts with the widespread belief that the functions version appears in _The Principles of Mathematics_, finished in late 1902. I argue that Russell's dating was accurate, and that the functions version does not appear in the (...) _Principles_. I distinguish the functions and predicates versions, give a novel reading of the _Principles_, section 85, as a paradox dealing with what Russell calls _assertions_, and show that Russell's logical notation in 1902 had no way of even formulating the functions version. The propositional functions version had its origins in the summer of 1903, soon after Russell's notation had changed in such a way as to make a formulation possible. (shrink)

Epistemology is often a problem for libertarianism. Many libertarian texts assume that they need to do more than explain and defend the libertarian conjecture. Instead, they try to offer epistemological support for it (whether empirically or morally); which falsificationism and, more broadly, critical rationalism explains is not possible. Moreover, they often mistake this attempt at support for an explanation of libertarianism (which ought to include an abstract theory of liberty and how it relates to liberty in practice). Therefore, when a (...) criticism of falsificationism appears on a libertarian website it seems useful to reply to it (even though no discussion of libertarianism itself is involved). (shrink)

The standard assumption for what perception must do in order to represent a “higher level” content—say, tiger—is that it must represent the kind as such. I argue that this “as such condition” is not constitutive of what it means for a content to be “higher‐level”, and that embracing it produces a range of unfortunate dialectical consequences. After offering this critique, I give an alternative construal, the “extended perceptual space” view of higher‐level contents. This view captures the phenomena targeted by the (...) “higher‐level content” thesis, is empirically supported, and avoids the negative dialectical consequences of the as such condition. (shrink)

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)

I consider two attempts to combine realism with pluralism about the units of selection: Sober and Wilson’s combination of “model” and “unit” pluralism, and Sterelny and Griffiths’ “local pluralism”. I argue that both of these attempts fail to show that realism and pluralism are compatible. Sober and Wilson’s pluralism turns out, on closer inspection, to be a kind of monism in disguise, while Sterelny and Griffiths’ local pluralism involves a combination of realism and anti-realism about interactors, and the units of (...) selection, that is fundamentally unstable. My conclusion is that one must choose whether to be a realist or a pluralist in this area: one cannot be both. The question of which we should choose is a further question that I do not take a stand on. (shrink)

In he Problems of Philosophy and other works of the same period, Russell claims that every proposition must contain at least one universal. Even fully general propositions of logic are claimed to contain “abstract logical universals”, and our knowledge of logical truths claimed to be a species of a priori knowledge of universals. However, these views are in considerable tension with Russell’s own philosophy of logic and mathematics as presented in Principia Mathematica. Universals generally are qualities and relations, but if, (...) for example, PM’s disjunction (∨) is a relation, what is it a relation between? There is no obvious answer to this given Russell’s other philosophical commitments at this time, although hints are left in some of the pre-PM manuscripts. In this paper, I explore this tension in Russell's philosophy and relate it to developments both before and after Problems. (shrink)

Libertarianism—and classical liberalism generally—entails (or presupposes) a specific, but implicit, conception of liberty. Imagine two lists of property-rights: one list is all those that currently appear to be libertarian (self-ownership, property acquired by use of natural resources, property acquired by consensual exchange, etc.); the other list is all those that currently appear not to be libertarian (aggressively imposed slavery, property acquired by theft or fraud, property acquired by coerced transfers due to welfare claims, etc.). What determines into which list a (...) property-right is to be assigned? If libertarianism is really about liberty, then the determining factor must be whether the property-right somehow fits what liberty is in a more abstract sense than property. It greatly clarifies matters to have an explicit theory of this entailed conception of abstract liberty and how it relates to its practical application and to morality. (shrink)

This chapter will review selected aspects of the terrain of discussions about probabilities in statistical mechanics (with no pretensions to exhaustiveness, though the major issues will be touched upon), and will argue for a number of claims. None of the claims to be defended is entirely original, but all deserve emphasis. The first, and least controversial, is that probabilistic notions are needed to make sense of statistical mechanics. The reason for this is the same reason that convinced Maxwell, Gibbs, and (...) Boltzmann that probabilities would be needed, namely, that the second law of thermodynamics, which in its original formulation says that certain processes are impossible, must, on the kinetic theory, be replaced by a weaker formulation according to which what the original version deems impossible is merely improbable. Second is that we ought not take the standard measures invoked in equilibrium statistical mechanics as giving, in any sense, the correct probabilities about microstates of the system. We can settle for a much weaker claim: that the probabilities for outcomes of experiments yielded by the standard distributions are effectively the same as those yielded by any distribution that we should take as a representing probabilities over microstates. Lastly, (and most controversially): in asking about the status of probabilities in statistical mechanics, the familiar dichotomy between epistemic probabilities (credences, or degrees of belief) and ontic (physical) probabilities is insufficient; the concept of probability that is best suited to the needs of statistical mechanics is one that combines epistemic and physical considerations. (shrink)

Russell claims in his autobiography and elsewhere that he discovered his 1905 theory of descriptions while attempting to solve the logical and semantic paradoxes plaguing his work on the foundations of mathematics. In this paper, I hope to make the connection between his work on the paradoxes and the theory of descriptions and his theory of incomplete symbols generally clearer. In particular, I argue that the theory of descriptions arose from the realization that not only can a class not be (...) thought of as a single thing, neither can the meaning/intension of any expression capable of singling out one collection (class) of things as opposed to another. If this is right, it shows that Russell’s method of solving the logical paradoxes is wholly incompatible with anything like a Fregean dualism between sense and reference or meaning and denotation. I also discuss how this realization lead to modifications in his understanding of propositions and propositional functions, and suggest that Russell’s confrontation with these issues may be instructive for ongoing research. (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)

Bertrand Russell was one of the best-known proponents of logicism: the theory that mathematics reduces to, or is an extension of, logic. Russell argued for this thesis in his 1903 The Principles of Mathematics and attempted to demonstrate it formally in Principia Mathematica (PM 1910–1913; with A. N. Whitehead). Russell later described his work as a further “regressive” step in understanding the foundations of mathematics made possible by the late 19th century “arithmetization” of mathematics and Frege’s logical definitions of arithmetical (...) concepts. The logical system of PM sought to improve on earlier attempts by solving the contradictions found in, e.g., Frege’s system, by employing a theory of types. In this article, I also consider and critically evaluate the most common objections to Russell’s logicism, including the claim that it is undermined by Gödel’s incompleteness results, and Putnam's charge of “if-thenism”. I suggest that if we are willing to accept a slightly revisionist account of what counts as a mathematical truth, these criticisms do not obviously refute Russell’s claim to have established that mathematical truths generally are a species of logical truth. (shrink)

Is there a possible profit from the loss of the sense of reality? The loss of the sense of reality is a mental disorder that needs treatment, otherwise the person concerned will suffer harm in the short term. We cannot imagine that therefrom a profit could result. Don Quixote gives an example of a loss of reality in a slightly different sense. He is no longer committed to the banal, everyday reality, in this area he fails completely. But he has (...) another field, as it were, a higher reality, where he wins. A similar case is told to us by Plato in the story of Thales, who falls into the well while observing the stars, and is therefore laughed at by a Thracian maid. But for Plato, Thales is a positive example. The philosopher is less concerned with the reality that lies just before his feet than with what is generally true and real. Plato himself devalues what can be experienced around us in favour of the ideas. These are not perceptible, but nevertheless they are what actually exists. (shrink)

Traditionally, logic has been the dominant formal method within philosophy. Are logical methods still dominant today, or have the types of formal methods used in philosophy changed in recent times? To address this question, we coded a sample of philosophy papers from the late 2000s and from the late 2010s for the formal methods they used. The results indicate that the proportion of papers using logical methods remained more or less constant over that time period but the proportion of papers (...) using probabilistic methods was approximately three times higher in the late 2010s than it was in the late 2000s. Further analyses explored this change by looking more closely at specific methods, specific levels of technical engagement, and specific subdisciplines within philosophy. These analyses indicate that the increasing proportion of papers using probabilistic methods was pervasive, not confined to particular probabilistic methods, levels of sophistication, or subdisciplines. (shrink)

Abstract Most histories of philosophy make us believe, that there is a line of thought from the Greeks on until today. This impression should be checked by this article. At first we contrast some pros and cons of the view that philosophy in general has a history. Then we come back to the question, if Plato or / and Aristotle are really the founders of historiography in philosophy. As test-piece we take the passage in the centre of Plato's Sophist, which (...) shows that the references to past thinkers don't have the purpose to inform us historically, but, first, to continue the current dialogue about being, second, to lead us to the aporie about being, which allows a fresh start for this question. A glance at the doxographies of Aristotle shows (we have a look at that of De Anima), that they have the same target in view, namely to reveal the fundamental opinions of being in a respective world. This way the “history of philosophy” becomes an account of succeeding worlds and the related reflection on it. – This article is an extended version of a short lecture held in Geneva, 15. sept. 2016, within the scope of the Symposium of the Schweizerische Philosophische Gesellschaft. Unfortunately it was not accepted for publication. (shrink)

A discussion of a number of ways that information can be present in a computer program without being explicitly represented.

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)

This is an attempt to clarify the nature of extreme, or complete, “wokeness” in its modern sense. The central thesis is that it is an inverted form of fascism, and thereby even worse than some of its critics assume. In fact, it is far worse than ordinary fascism whether or not it is correct to see it as an inverted form. As this is a thesis, it is not a definition. Therefore, this thesis could certainly be mistaken. But if it (...) is, then sound criticisms of the explanation would be needed to refute it. (shrink)

The principle of energy conservation is widely taken to be a se- rious difficulty for interactionist dualism (whether property or sub- stance). Interactionists often have therefore tried to make it satisfy energy conservation. This paper examines several such attempts, especially including E. J. Lowe’s varying constants proposal, show- ing how they all miss their goal due to lack of engagement with the physico-mathematical roots of energy conservation physics: the first Noether theorem (that symmetries imply conservation laws), its converse (that conservation (...) laws imply symmetries), and the locality of continuum/field physics. Thus the “conditionality re- sponse”, which sees conservation as (bi)conditional upon symme- tries and simply accepts energy non-conservation as an aspect of interactionist dualism, is seen to be, perhaps surprisingly, the one most in accord with contemporary physics (apart from quantum mechanics) by not conflicting with mathematical theorems basic to physics. A decent objection to interactionism should be a posteri- ori, based on empirically studying the brain. (shrink)

We can see mereology as a theory of parthood and topology as a theory of wholeness. How can these be combined to obtain a unified theory of parts and wholes? This paper examines various non-equivalent ways of pursuing this task, with specific reference to its relevance to spatio-temporal reasoning. In particular, three main strategies are compared: (i) mereology and topology as two independent (though mutually related) chapters; (ii) mereology as a general theory subsuming topology; (iii) topology as a general theory (...) subsuming mereology. Some more speculative strategies and directions for further research are also considered. (shrink)

It would be an understatement to say that Russell was interested in Cantorian diagonal paradoxes. His discovery of the various versions of Russell’s paradox—the classes version, the predicates version, the propositional functions version—had a lasting effect on his views in philosophical logic. Similar Cantorian paradoxes regarding propositions—such as that discussed in §500 of The Principles of Mathematics—were surely among the reasons Russell eventually abandoned his ontology of propositions.1 However, Russell’s reasons for abandoning what he called “denoting concepts”, and his rejection (...) of similar “semantic dualisms” such as Frege’s theory of sense and reference—at least in “On Denoting”—made no explicit mention of any Cantorian paradox. My aim in this paper is to argue that such paradoxes do pose a problem for certain theories such as Frege’s, and early Russell’s, about how definite descriptions are meaningful. My first aim is simply to lay out the problem I have in mind. Next, I shall turn to arguing that the theories of descriptions endorsed by Frege and by Russell prior to “On Denoting” are susceptible to the problem. Finally, I explore what responses a.. (shrink)