Centuries ago, Descartes and Locke initiated a foundational debate in epistemology over the relationship between knowledge, on the one hand, and practical factors, on the other. Descartes claimed that knowledge and practice are fundamentally separate. Locke claimed that knowledge and practice are fundamentally united. After a period of dormancy, their disagreement has reignited on the contemporary scene. Latter-day Lockeans claim that knowledge itself is essentially connected to, and perhaps even constituted by, practical factors such as how much is at stake, (...) how important the situation is, or how one should act. Latter-day Cartesians claim, by contrast, that knowledge is entirely constituted by truth-related factors such as truth, belief, and evidence. Each side has supported its case with claims about patterns in ordinary behavior and knowledge judgments. Lockeans argue that these patterns are best explained by positing a fundamental and direct link between knowledge and practical factors. Cartesians argue that the patterns can be equally well explained by positing an indirect link, entirely mediated by the traditional factors of truth, belief, and evidence, thereby rendering the Lockean hypothesis unnecessary. We argue that Cartesians are right about some practical factors, in particular stakes and how important a situation is, which have, at best, a modest indirect relationship to knowledge. However, Lockeans are right about actionability: whether a person should pursue a course of action is unquestionably very powerfully and directly connected to knowledge. (shrink)

Bringing research on collective memory together with research on episodic future thought, Szpunar and Szpunar :376–389, 2016) have recently developed the concept of collective future thought. Individual memory and individual future thought are increasingly seen as two forms of individual mental time travel, and it is natural to see collective memory and collective future thought as forms of collective mental time travel. But how seriously should the notion of collective mental time travel be taken? This article argues that, while collective (...) mental time travel is disanalogous in important respects to individual mental time travel, the concept of collective mental time travel nevertheless provides a useful means of organizing existing findings, while also suggesting promising directions for future research. (shrink)

Beliefs are concrete particulars containing ideas of properties and notions of things, which also are concrete. The claim made in a belief report is that the agent has a belief (i) whose content is a specific singular proposition, and (ii) which involves certain of the agent's notions and ideas in a certain way. No words in the report stand for the notions and ideas, so they are unarticulated constituents of the report's content (like the relevant place in "it's raining"). The (...) belief puzzles (Hesperus, Cicero, Pierre) involve reports about two different notions. So the analysis gets the puzzling truth values right. (shrink)

Is knowledge justified true belief? Most philosophers believe that the answer is clearly ‘no’, as demonstrated by Gettier cases. But Gettier cases don’t obviously refute the traditional view that knowledge is justified true belief (JTB). There are ways of resisting Gettier cases, at least one of which is partly successful. Nevertheless, when properly understood, Gettier cases point to a flaw in JTB, though it takes some work to appreciate just what it is. The nature of the flaw helps us better (...) understand the nature of knowledge and epistemic justification. I propose a crucial improvement to the traditional view, relying on an intuitive and independently plausible metaphysical distinction pertaining to the manifestation of intellectual powers, which supplements the traditional components of justification, truth and belief. (shrink)

Recent work has shown that knowledge attributions affect how people think others should behave, more so than belief attributions do. This paper reports two experiments providing evidence that knowledge attributions also affect behavioral predictions more strongly than belief attributions do, and knowledge attributions facilitate faster behavioral predictions than belief attributions do. Thus, knowledge attributions play multiple critical roles in social cognition, guiding judgments about how people should and will behave.

This paper addresses the foundations of Teleological Individualism, the view that organisms, even non-sentient organisms, are goal-oriented systems while biological collectives, such as ecosystems or conspecific groups, are mere assemblages of organisms. Typical defenses of Teleological Individualism ground the teleological organization of organisms in the workings of natural selection. This paper shows that grounding teleological organization in natural selection is antithetical to Teleological Individualism because such views assume a view about the units of selection on which it is only individual (...) organisms that are units of selection. However, none of the Conventionalist, Reductionist, or Multi-Level Realist theories serve to justify such an assumption. Thus, Teleological Individualism cannot be grounded in natural selection. (shrink)

In this chapter, we begin by sketching in the broadest possible strokes the ideas behind two formal systems that have been introduced with to goal of explicating the ways in which reasons interact to support the actions and conclusions they do. The first of these is the theory of defeasible reasoning developed in the seminal work of Pollock; the second is a more recent theory due to Horty, which adapts and develops the default logic introduced by Reiter to provide an (...) account of reasons. However, the implementations are complex enough, in both cases, to prevent anything more than this sketch. And we would not want to give the impression that we think that work on the logic of reasons must follow the path mapped out in either of these theories—indeed, we feel that the field is wide open. In the remainder of the chapter, therefore, will concentrate on a number of issues bearing on the logic of reasons that are either not treated in the work of Pollock and Horty, or whose treatment there is, we feel, either inadequate or incomplete. These are: first, the question of whether it is necessary to understand logical interactions among reasons themselves, rather than simply between reasons and the actions or conclusions they support, and if so, what principles might govern these interactions; second, priority relations among reasons and the notion of reason accrual; and third, some problems posed by undercutting defeat. (shrink)

The A-theory and the B-theory advance competing claims about how time is grounded. The A-theory says that A-facts are more fundamental in grounding time than are B-facts, and the B-theory says the reverse. We argue that whichever theory is true of the actual world is also true of all possible worlds containing time. We do this by arguing that time is uniquely groundable: however time is actually grounded, it is necessarily grounded in that way. It follows that if either the (...) A-theory or the B-theory is actually false, then it is necessarily false. (shrink)

This paper presents a puzzle about justification and withholding. The puzzle arises in a special case where experts advise us to not withhold judgment. My main thesis is simply that the puzzle is genuinely a puzzle, and so leads us to rethink some common assumptions in epistemology, specifically assumptions about the nature of justification and doxastic attitudes. Section 1 introduces the common assumptions. Section 2 presents the puzzle case. Section 3 assesses the puzzle case. Section 4 explains the choice we're (...) faced with. Sections 5 and 6 consider and reject some proposed solutions, and in the process refine and clarify the choice we're faced with. Section 7 considers and rejects a miscellany of different proposed solutions. (shrink)

We present a new puzzle about logical truth, necessity, and moral responsibility. We defend one solution to the puzzle. A corollary of our preferred solution is that prominent arguments for the incompatibility of determinism and moral responsibility are invalid.

According to the Self-Location Thesis, one’s own location can be among the things that visual experience represents, even when one’s body is entirely out of view. By contrast, the Minimal View denies this, and says that visual experience represents things only as "to the right", etc., and never as "to the right of me". But the Minimal View is phenomenologically inadequate: it cannot explain the difference between a visual experience of self-motion and one of an oppositely moving world. To show (...) this, I argue (i) that these experiences are different in an important respect, (ii) that this difference is genuinely experiential, (iii) that it is visual, (iv) that it is not purely phenomenal, and (v) that it cannot be identified with anything other than the apparent motion of the self. So the Self-Location Thesis is upheld: reports of one’s own motion can correspond to aspects of visual experiences every bit as basic to their contents as the apparent motion or rest of the things one has in view. (shrink)

Our environmental wrongdoings result in a moral debt that requires restitution. One component of restitution is reparative and another is remediative. The remediative component requires that we remediate our characters in ways that alter or eliminate the character traits that tend to lead, in their expression, to environmental wrongdoing. Restitutive restoration is a way of engaging in ecological restoration that helps to meet the remediative requirement that accompanies environmental wrongdoing. This account of restoration provides a new motivation and justification for (...) engaging in restorative practices in addition to the standard pragmatist justification and motivations. (shrink)

A philosopher once wrote the following words:If I examine the PTOLOMAIC and COPERNICAN systems, I endeavour only, by my enquiries, to know the real situation of the planets; that is, in other words, I endeavour to give them, in my conception, the same relations, that they bear towards each other in the heavens. To this operation of the mind, therefore, there seems to be always a real, though often an unknown standard, in the nature of things; nor is truth or (...) falsehood variable by the various apprehensions of mankind. Though all human race should for ever conclude, that the sun moves, and the earth remains at rest, the sun stirs not an inch from his place for all these reasonings; and such conclusions are eternally false and erroneous. (shrink)

This book treats ancient logic: the logic that originated in Greece by Aristotle and the Stoics, mainly in the hundred year period beginning about 350 BCE. Ancient logic was never completely ignored by modern logic from its Boolean origin in the middle 1800s: it was prominent in Boole’s writings and it was mentioned by Frege and by Hilbert. Nevertheless, the first century of mathematical logic did not take it seriously enough to study the ancient logic texts. A renaissance in ancient (...) logic studies occurred in the early 1950s with the publication of the landmark Aristotle’s Syllogistic by Jan Łukasiewicz, Oxford UP 1951, 2nd ed. 1957. Despite its title, it treats the logic of the Stoics as well as that of Aristotle. Łukasiewicz was a distinguished mathematical logician. He had created many-valued logic and the parenthesis-free prefix notation known as Polish notation. He co-authored with Alfred Tarski’s an important paper on metatheory of propositional logic and he was one of Tarski’s the three main teachers at the University of Warsaw. Łukasiewicz’s stature was just short of that of the giants: Aristotle, Boole, Frege, Tarski and Gödel. No mathematical logician of his caliber had ever before quoted the actual teachings of ancient logicians. -/- Not only did Łukasiewicz inject fresh hypotheses, new concepts, and imaginative modern perspectives into the field, his enormous prestige and that of the Warsaw School of Logic reflected on the whole field of ancient logic studies. Suddenly, this previously somewhat dormant and obscure field became active and gained in respectability and importance in the eyes of logicians, mathematicians, linguists, analytic philosophers, and historians. Next to Aristotle himself and perhaps the Stoic logician Chrysippus, Łukasiewicz is the most prominent figure in ancient logic studies. A huge literature traces its origins to Łukasiewicz. -/- This Ancient Logic and Its Modern Interpretations, is based on the 1973 Buffalo Symposium on Modernist Interpretations of Ancient Logic, the first conference devoted entirely to critical assessment of the state of ancient logic studies. (shrink)

Robust technological enhancement of core cognitive capacities is now a realistic possibility. From the perspective of neutralism, the view that justifications for public policy should be neutral between reasonable conceptions of the good, only members of a subset of the ethical concerns serve as legitimate justifications for public policy regarding robust technological enhancement. This paper provides a framework for the legitimate use of ethical concerns in justifying public policy decisions regarding these enhancement technologies by evaluating the ethical concerns that arise (...) in the context of testing such technologies on nonhuman animals. Traditional issues in bioethics, as well as novel concerns such as the possibility of moral status enhancement, are evaluated from the perspective of neutralism. (shrink)

Essentialism in philosophy is the position that things, especially kinds of things, have essences, or sets of properties, that all members of the kind must have, and the combination of which only members of the kind do, in fact, have. It is usually thought to derive from classical Greek philosophy and in particular from Aristotle’s notion of “what it is to be” something. In biology, it has been claimed that pre-evolutionary views of living kinds, or as they are sometimes called, (...) “natu-ral kinds”, are essentialist. This static view of living things presumes that no tran-sition is possible in time or form between kinds, and that variation is regarded as accidental or inessential noise rather than important information about taxa. In contrast it is held that Darwinian, and post-Darwinian, biology relies upon varia-tion as important and inevitable properties of taxa, and that taxa are not, therefore, kinds but historical individuals. Recent attempts have been made to undercut this account, and to reinstitute essentialism in biological kind terms. Others argue that essentialism has not ever been a historical reality in biology and its predecessors. In this chapter, I shall outline the many meanings of the notion of essentialism in psychology and social science as well as science, and discuss pro- and anti-essentialist views, and some recent historical revisionism. It turns out that nobody was essentialist to speak of in the sense that is antievolutionary in biology, and that much confusion rests on treating the one word, “essence” as meaning a single notion when in fact there are many. I shall also discuss the philosophical implica-tions of essentialism, and what that means one way or the other for evolutionary biology. Teaching about evolution relies upon narratives of change in the ways the living world is conceived by biologists. This is a core narrative issue. (shrink)

Super-Humeans argue that the most parsimonious ontology of the natural world compatible with our best physical theories consists exclusively of particles and the distance relations between them. This paper argues by contrast that Super-Humean reduction goes insufficiently far, by showing there to be a more parsimonious ontology compatible with physics: Ultimate-Humeanism. This novel view posits an ontology consisting solely of the particles and distance relations required for the existence of a single brain. Super-Humeans impose conditions on what counts as an (...) ontology of the natural world to avoid their view slipping into this kind of ontology, but these conditions are arbitrarily imposed and once this is exposed, Super-Humeans face a dilemma. Either they can embrace Ultimate-Humeanism as the minimal ontology of the natural world compatible with physics, or (more likely) they can rethink the methodology that got them there. Overall, this paper argues that Super-Humeanism currently lacks principled motivation, outlines a framework for naturalistic ontological reductions, and exposes the consequences of unchecked adherence to a simplicity-driven methodology. (shrink)

The evolution of life on Earth has produced an organism that is beginning to model and understand its own evolution and the possible future evolution of life in the universe. These models and associated evidence show that evolution on Earth has a trajectory. The scale over which living processes are organized cooperatively has increased progressively, as has its evolvability. Recent theoretical advances raise the possibility that this trajectory is itself part of a wider developmental process. According to these theories, the (...) developmental process has been shaped by a yet larger evolutionary dynamic that involves the reproduction of universes. This evolutionary dynamic has tuned the key parameters of the universe to increase the likelihood that life will emerge and produce outcomes that are successful in the larger process (e.g. a key outcome may be to produce life and intelligence that intentionally reproduces the universe and tunes the parameters of ‘offspring’ universes). Theory suggests that when life emerges on a planet, it moves along this trajectory of its own accord. However, at a particular point evolution will continue to advance only if organisms emerge that decide to advance the developmental process intentionally. The organisms must be prepared to make this commitment even though the ultimate nature and destination of the process is uncertain, and may forever remain unknown. Organisms that complete this transition to intentional evolution will drive the further development of life and intelligence in the universe. Humanity’s increasing understanding of the evolution of life in the universe is rapidly bringing it to the threshold of this major evolutionary transition. (shrink)

Teaching while managing instructional workload is causal to the teaching-learning process. The study determined the teachers' instructional workload management to the teachers' teaching efficacy. It was conducted in a community college in Tangub City, Misamis Occidental. The descriptive-correlational design was used in the study. There were 15 program heads and 361 students who served as the respondents selected through a stratified random sampling technique. The researcher-made Teachers' Instructional Workload Management and Teachers' Teaching Efficacy Questionnaires were used as research instruments. Mean, (...) Standard Deviation, and Pearson Product-Moment Correlation Coefficient were used as statistical tools to analyze the data gathered. Results revealed that the teachers were very good in their instructional workload management. The teachers' teaching efficacy was very high. Some aspects of the teachers' instructional workload management like the preparation of instructional materials influenced the teachers' administration of assessment tasks and classroom management. Their conduct of consultation also influenced the administration of assessment tasks. Moreover, their submission of academic reports influenced the administration of assessment tasks and school resource utilization. The workload management of teachers play a crucial role in shaping teachers' teaching efficacy. It is recommended for teachers to manage their workload proactively since it can impact their teaching efficacy. (shrink)

In Languages of Art, Nelson Goodman presents a general theory of symbolic notation. However, I show that his theory could not adequately explain possible cases of natural language notational uses, and argue that this outcome undermines, not only Goodman's own theory, but any broadly type versus token based account of notational structure.Given this failure, an alternative representational theory is proposed, in which different visual or perceptual aspects of a given physical inscription each represent a different letter, word, or other notational (...) item. Such a view is strongly supported by the completely conventional relation between inscriptions and notation, as shown by encryption techniques etc. (shrink)

Like all reasoning, practical reasoning is a process that takes a person from some of her existing mental states to a new mental state. Theoretical reasoning concludes in a belief; practical reasoning in an intention. This paper concentrates on instrumental reasoning, a species of practical reasoning in general. It argues that instrumental reasoning is correct if the content of the reasoning is a valid derivation, just as theoretical reasoning is correct if its content is a valid derivation. It also argues (...) that neither theoretical nor practical reasoning gives a reason for its conclusion. If a piece of reasoning is correct, it concludes in a state - a belief or an intention - that is rationally required by the states it is derived from, but rationally requiring a conclusion is not the same as giving a reason for it. (shrink)

I evaluate two new objections to an infinitist account of epistemic justification, and conclude that they fail to raise any new problems for infinitism. The new objections are a refined version of the finite-mind objection, which says infinitism demands more than finite minds can muster, and the normativity objection, which says infinitism entails that we are epistemically blameless in holding all our beliefs. I show how resources deployed in response to the most popular objection to infinitism, the original finite-mind objection, (...) can be redeployed to address the two new objections. (shrink)

That in Gettier's alleged counterexamples to the traditional analysis of knowledge as justified true belief the belief condition is satisfied has rarely been questioned. Yet there is reason to doubt that a rational person would come to believe what Gettier's protagonists are said to believe in the way they are said to have come to believe it. If they would not, the examples are not counter-examples to the traditional analysis. I go on to discuss a number of examples inspired by (...) Gettier's and argue that they, too, fail to be counter-examples either for reasons similar to those I have urged or because it is not clear that their subject does not know. (shrink)

I will develop a new problem for almost all realist theories of colour. The problem involves fluctuations in our colour experiences that are due to visual noise rather than changes in the objects we are looking at.

The Evolutionary Manifesto shows that evolution is directional and demonstrates that this has major implications for humanity. The Manifesto shows that humanity must align its social systems and behaviour with the trajectory of evolution if we are to survive and thrive into the future. The Manifesto goes on to demonstrate that humanity has an essential role to play in the future evolution of life on this planet. It demonstrates that life on Earth has reached a critical stage in evolution’s trajectory. (...) Up to now evolution has moved along its trajectory blindly and unconsciously. But if evolution on Earth is to continue to advance successfully in the future, the process will have to be driven intentionally and consciously by humanity. In this way, a proper understanding of evolution shows us how we can live a life that matters in a larger scheme of things. An evolutionary worldview answers the fundamental existential question that faces us all: “What should I do with my life?” The Manifesto outlines in broad terms what humanity must do to advance the evolutionary process—how we will intentionally have to re-make our political, social and economic systems, and how we will need to develop our cognition and consciousness. As such, the Manifesto presents a detailed case for evolutionary activism--coordinated action directed at advancing the evolutionary process intentionally. (shrink)

I objected that the defeasibility theory of knowledge prohibits you from knowing that you know that p if your knowledge that p is a posteriori. Rodrigo Borges claims that Peter Klein has already satisfactorily answered a version of my objection. He attempts to defend Klein’s reply and argues that my objection fails because a principle on which it is based is false.I will show that my objection is not a version of the old one that Klein attempts (unsuccessfully) to address, (...) that Borges’ defence of Klein’s reply fails and that his argument against my new objection leaves it untouched. (shrink)

According to a standard interpretation of Aristotle, a material substance, like a dog, is a hylomorphic composite of matter and form, its “essential” parts. Is such a composite some thing in addition to its essential parts as united? The moderate reductionist says “no,” whereas the anti-reductionist says “yes.” In this paper, I will clarify and defend Durand of St.-Pourçain’s surprisingly influential version of moderate reductionism, according to which hylomorphic composites are nothing over and above their essential parts and the union (...) of those parts, where this union is explained by the presence of two modes: a mode of inherence on the side of form and a mode of substanding on the side of matter. (shrink)

This essay consists of two parts. Part I offers an explanation of Berkeley's understanding of the relationship between materialism and evil. Berkeley regards materialism as the chief instrumental cause of evil in the world. It is the belief in matter that encourages us to believe that God is not immediately, intimately present in every aspect of our life. Immaterialism, by contrast, makes God's immediate presence vivid and thereby serves to undermine the motivation to vice. Part II locates Berkeley's view on (...) matter and evil within the Christian Neoplatonic tradition. I compare Plotinus' minimalist approach to matter and his identification of matter with evil to Berkeley's eliminitivism about matter and his corresponding identification of materialism as the chief source of evil. (shrink)

Since at least late antiquity, Aristotle’s Prior Analytics B 23 has been misread. Aristotle does not think that an induction is a syllogism made good by complete enumeration. The confusion can be eliminated by considering the nature of the surviving text and watching very closely Aristotle’s moving back and forth between “induction” and “syllogism from induction.” Though he does move freely between them, the two are not synonyms.

In this paper, I explore a possible convergence between two great twentieth century thinkers, Nishida Kitarō of Japan and Martin Heidegger of Germany. The focus is on the quasi-religious language they employ in discussing the grounding of human existence in terms of an encompassing Wherein for our being. Heidegger speaks of “the sacred” and “the passing of the last god” that mark an empty clearing wherein all metaphysical absolutes or gods have withdrawn but are simultaneously indicative of an opening wherein (...) beings are given. Nishida speaks of “the religious” dimension in the depths of one's being, that he calls “place,” and that somehow envelops the world through its kenotic self-negation. In both we find reference to a kind of originary space—the open or place—associated with quasireligious themes. I also point to their distinct approaches to metaphysical language in their attempts to give voice to that abysmal thought. (shrink)

Abstract Charles Darwin, in his discussions with Asa Gray and in his published works, doubted whether God could so arrange it that exactly the desired contingent events would occur to cause particular outcomes by natural selection. In this paper, I argue that even a limited or neo-Leibnizian deity could have chosen a world that satisfied some arbitrary set of goals or functions in its outcomes and thus answer Darwin's conundrum. In more general terms, this supports the consistency of natural selection (...) with providentialism, and makes “theistic evolutionism” a coherent position to hold. (shrink)

It is generally accepted that Mill’s classification of names as nonconnotative terms is incompatible with Frege’s thesis that names have senses. However, Milldescribed the senses of nonconnotative terms—without being aware that he was doing so. These are the senses for names that were sought in vain by Frege. When Mill’s and Frege’s doctrines are understood as complementary, they constitute a fully satisfactory theory of names.

Recovering from its obsession with the computer in the 1990's psychology realised that minds come with bodies, something that Whitehead had pointed out in the 1920's. However, the problem of how the mind and body are linked remained. Bisemiotics solves it.

1971. Discourse Grammars and the Structure of Mathematical Reasoning II: The Nature of a Correct Theory of Proof and Its Value, Journal of Structural Learning 3, #2, 1–16. REPRINTED 1976. Structural Learning II Issues and Approaches, ed. J. Scandura, Gordon & Breach Science Publishers, New York, MR56#15263. -/- This is the second of a series of three articles dealing with application of linguistics and logic to the study of mathematical reasoning, especially in the setting of a concern for improvement of (...) mathematical education. The present article presupposes the previous one. Herein we develop our ideas of the purposes of a theory of proof and the criterion of success to be applied to such theories. In addition we speculate at length concerning the specific kinds of uses to which a successful theory of proof may be put vis-a-vis improvement of various aspects of mathematical education. The final article will deal with the construction of such a theory. The 1st is the 1971. Discourse Grammars and the Structure of Mathematical Reasoning I: Mathematical Reasoning and Stratification of Language, Journal of Structural Learning 3, #1, 55–74. https://www.academia.edu/s/fb081b1886?source=link . (shrink)

In the midst of even the most tragic circumstances attending the aftermath of disaster, and co-existing with a host of complex emotions, arises a practical consideration: how might similar tragedies be prevented in the future? The complexity of such situations must not be neglected. More than mere prevention must usually be taken into consideration. But the practical question is of considerable importance. In what follows, I will offer some reasons for being concerned that efforts to fix the problem -- efforts, (...) that is, directed toward insuring that similar tragedies do not occur in the future -- can easily be obstructed by attempts to fix blame -- that is, efforts directed toward determining which agent among those involved is guilty of wrong-doing. This is the case, I shall contend, even where some agent or another really is guilty of wrong-doing. The problem is further complicated by a pervasive human tendency to imagine that some agent or another must be responsible in some way for any tragedy that occurs -- even when this is not really true -- but its influence is not at all limited to such cases. As I shall suggest, philosophical attitudes toward issues of determinism and free will may be implicated in the different approaches people take to the problem of assessing what has gone wrong in a particular case and how to fix it, but such deep philosophical problems need not be resolved here. The point is not that humans are never guilty of wrong-doing (since their actions, the argument might go, are all products of outside forces), but rather that whatever the case may be about guilt, tracking down guilty persons is a different business from fixing institutionally-embedded problems so as to lessen the likelihood of their recurrence. (shrink)

CORCORAN REVIEWS THE 4 VOLUMES OF TARSKI’S COLLECTED PAPERS Alfred Tarski (1901--1983) is widely regarded as one of the two giants of twentieth-century logic and also as one of the four greatest logicians of all time (Aristotle, Frege and Gödel being the other three). Of the four, Tarski was the most prolific as a logician. The four volumes of his collected papers, which exclude most of his 19 monographs, span over 2500 pages. Aristotle's writings are comparable in volume, but most (...) of the Aristotelian corpus is not about logic, whereas virtually everything written by Tarski concerns logic more or less directly. There is no doubt that Tarski wrote more on logic than any other author; he started publishing on logic in 1921 at the age of 20 and continued until his death at the age of 82. (shrink)

DEFINING OUR TERMS A “paradox" is an argumentation that appears to deduce a conclusion believed to be false from premises believed to be true. An “inconsistency proof for a theory" is an argumentation that actually deduces a negation of a theorem of the theory from premises that are all theorems of the theory. An “indirect proof of the negation of a hypothesis" is an argumentation that actually deduces a conclusion known to be false from the hypothesis alone or, more commonly, (...) from the hypothesis augmented by a set of premises known to be true. A “direct proof of a hypothesis" is an argumentation that actually deduces the hypothesis itself from premises known to be true. Since `appears', `believes' and `knows' all make elliptical reference to a participant, it is clear that `paradox', `indirect proof' and `direct proof' are all participant-relative. PARTICIPANT RELATIVITY In normal mathematical writing the participant is presumed to be “the community of mathematicians" or some more or less well-defined subcommunity and, therefore, omission of explicit reference to the participant is often warranted. However, in historical, critical, or philosophical writing focused on emerging branches of mathematics such omission often invites confusion. One and the same argumentation has been a paradox for one mathematician, an inconsistency proof for another, and an indirect proof to a third. One and the same argumentation-text can appear to one mathematician to express an indirect proof while appearing to another mathematician to express a direct proof. WHAT IS A PARADOX’S SOLUTION? Of the above four sorts of argumentation only the paradox invites “solution" or “resolution", and ordinarily this is to be accomplished either by discovering a logical fallacy in the “reasoning" of the argumentation or by discovering that the conclusion is not really false or by discovering that one of the premises is not really true. Resolution of a paradox by a participant amounts to reclassifying a formerly paradoxical argumentation either as a “fallacy", as a direct proof of its conclusion, as an indirect proof of the negation of one of its premises, as an inconsistency proof, or as something else depending on the participant's state of knowledge or belief. This illustrates why an argumentation which is a paradox to a given mathematician at a given time may well not be a paradox to the same mathematician at a later time. -/- The present article considers several set-theoretic argumentations that appeared in the period 1903-1908. The year 1903 saw the publication of B. Russell's Principles of mathematics, [Cambridge Univ. Press, Cambridge, 1903; Jbuch 34, 62]. The year 1908 saw the publication of Russell's article on type theory as well as Ernst Zermelo's two watershed articles on the axiom of choice and the foundations of set theory. The argumentations discussed concern “the largest cardinal", “the largest ordinal", the well-ordering principle, “the well-ordering of the continuum", denumerability of ordinals and denumerability of reals. The article shows that these argumentations were variously classified by various mathematicians and that the surrounding atmosphere was one of confusion and misunderstanding, partly as a result of failure to make or to heed distinctions similar to those made above. The article implies that historians have made the situation worse by not observing or not analysing the nature of the confusion. -/- RECOMMENDATION This well-written and well-documented article exemplifies the fact that clarification of history can be achieved through articulation of distinctions that had not been articulated (or were not being heeded) at the time. The article presupposes extensive knowledge of the history of mathematics, of mathematics itself (especially set theory) and of philosophy. It is therefore not to be recommended for casual reading. AFTERWORD: This review was written at the same time Corcoran was writing his signature “Argumentations and logic”[249] that covers much of the same ground in much more detail. https://www.academia.edu/14089432/Argumentations_and_Logic . (shrink)

The key problem for normative (or moral) cultural relativism arises as soon as we try to formulate it. It resists formulations that are (1) clear, precise, and intelligible; (2) plausible enough to warrant serious attention; and (3) faithful to the aims of leading cultural relativists, one such aim being to produce an important alternative to moral universalism. Meeting one or two of these conditions is easy; meeting all three is not. I discuss twenty-four candidates for the label "cultural relativism," showing (...) that not one meets all three conditions. In the end I conclude that cultural relativists have produced nothing that threatens universalism. (shrink)

This is an English translation of Waldenfels' German essay: Equality and inequality are basic elements of law, justice and politics. Equality integrates each of us into a common sphere by distributing rights, duties and chances among us. Equality turns into mere indifference as far as we get overintegrated into social orders. When differences are fading away experience loses its relief and individuals lose their face. Our critical reflections start from the inevitable paradox of making equal what is not equal. In (...) various ways they refer to Nietzsche’s concept of order, to Marx’s analysis of money, to Lévinas’s ethics of the Other, and to novelists like Dostoevsky and Musil. Our critique turns against two extremes, on the one hand against any sort of normalism fixed on functioning orders, on the other hand against any sort of anomalism dreaming of mere events and permanent ruptures. Responsive phenomenology shows how we are confronted with extraordinary events. Those deviate from the ordinary and transgress its borders, without leaving the normality of our everyday world behind. The process of equalizing moves between the ordinary and the extraordinary. What makes the difference and resists mere indifference are creative responses which are to be invented again and again. (shrink)

This article explores ideas of a student-centred curriculum through an oral history project undertaken with minoritised students on an undergraduate health ethics module at a UK HEI. It analyses oral history interviews about student expereinces, reflects on the co-creation of knowledge via collective praxis, and re-thinks what it is to 'centre' students in a socially just classroom, institution, and wider HE sector. Furthermore, it discusses conceptualisations of trustful and dialogic classroom conditions and considers issues of intersectionality, decolonising, resisting the 'mythical (...) norm' and addressing epistemic injustice in HE. (shrink)

This study sought to create a digital game-based physics lesson for seventh-grade students. It sought answers to respondents' least mastered competencies in physics by identifying their preferred game-based learning activity and determining their level of critical thinking, creative thinking, and problem-solving. A descriptive-developmental design was used in the study of selected learners from 129 grade 7 students, carried out at Bukal Sur National High School in Candelaria, Quezon, during the academic year 2022-2023. The study's findings revealed that the respondents' least (...) mastered competency in Physics was describing an object's motion in terms of distance or displacement, speed or velocity, and acceleration, as well as creating and interpreting visual representations of object motion such as tape charts and motion graphs and inferring that waves carry energy. Respondents prefer to play digital games, particularly puzzle games, on their mobile devices. The respondents' mean pre-test score indicated low critical thinking, creative thinking, and problem-solving, whereas the mean post-test score was very satisfactory. Finally, there is a significant difference between the respondents' pre-test and post-test scores for critical thinking, creative thinking, and problem-solving. (shrink)

Howard Gardner's theory of Multiple Intelligences has had a huge influence on school education. But its credentials lack justification, as the first section of this paper shows via a detailed philosophical analysis of how the intelligences are identified. If we want to make sense of the theory, we need to turn from a philosophical to a historical perspective. This is provided in the second section, which explores how the theory came to take shape in the course of Gardner's intellectual development. (...) The third section looks at changes in the theory since its inception in 1983 and at problems with its applications to education. The paper concludes with a response to Gardner's critical comments on the argument to this point. (shrink)

Conservative critics have united in attacking James Cameron’s newest blockbuster Avatar for its “liberal” political message. But underneath all of the manifest liberalism of Avatar there is also a latent message. In his valorization of the organic, primal, interconnectedness of Na’vi culture and his denigration of the mechanical, modern, disconnectedness of human culture, Cameron runs very close to advocating a form of fascism. -/- In this paper I describe the overarching philosophical perspective of fascism, and then I draw on the (...) work of Jay Y. Gonen, who, in his book The Roots of Nazi Psychology, has distilled Hitler’s foundational ideological values to nine basic principles. I demonstrate how greatly these principles overlap with the ideals that Cameron attributes to the culture of the Na’vi in his film Avatar. (shrink)

Within the context of Heidegger’s claim that his thinking has moved from the “meaning of being” to the “truth of being” and finally to the “place of being,” this paper examines the “spatial” motifs that become pronounced in his post-1930 attempts to think being apart from temporality. My contention is that his “shift” (Wendung) in thinking was a move beyond his earlier focus upon the project-horizon of the meaning (Sinn) of being, i.e., time, based on the existential hermeneutic of mortality, (...) and instead towards a focus upon the “space”—variously discussed in terms of the open, the clearing, the expanse, the region, etc.—that allows fur such horizonal projection. The very matter of thought that becomes discussed in the 1930s Beiträge as the “turning” (Kehre) of “en-ownment” (Ereignis) involves this clearing or opening of a “space” in the strife of unconcealment-concealment. This in turn underscores the alterity from out of which the emission of the Sinn of being is possible. In the 1940s and ‘50s this spacing becomes developed in terms of a “regionalizing” (Gegnen) in explicit distinction from the “horizon.” I shall also examine the implications for human spatiality, i.e., our receptivity vis-à-vis this alterity of Ereignis or Gegnen, which Heidegger discusses in terms of “letting” or “releasement.”. (shrink)

This paper offers a new interpretation of Aristotle’s identification, in De Anima 2.5, of αἴσθησις with an ἀλλοίωσίς τις that is not ‘a kind of destruction of something by its contrary’. Drawing on a passage from Metaphysics Iota 5, it argues that when so described, what is referred to as an ἀλλοίωσίς τις is not a uniquely perceptual alteration.

When you think about a particular object, what makes your thought about that object? Roderick Chisholm, Ernest Sosa and Michael McKinsey have defended 'latitudinarian', 'descriptivist', or what I call 'liberal' answers to that question. In this paper I carefully consider the motivation for these liberal views and show how it extends in unanticipated ways to motivate views that are considerably more liberal.