The badness of having conflicting emotions is a familiar theme in academic ethics, clinical psychology, and commercial self-help, where emotional harmony is often put forward as an ideal. Many philosophers give emotional harmony pride of place in their theories of practical reason.1 Here we offer a defense of a particular species of emotional conflict, namely, ambivalence. We articulate an conception of ambivalence, on which ambivalence is unresolved inconsistent desire (§1) and present a case of appropriate ambivalence (§2), before considering (...) two alternative defenses of emotional conflict (§3). We then argue that inconsistent desires can be fitting (§4) and that it can be reasonable not to resolve inconsistent desires (§5), before considering an objection (§6) and concluding the discussion (§7). (shrink)

The article is an extended critical discussion of Kevin Scharp’s Replacing Truth. Scharp’s case for the claim that the concept of truth is inconsistent is criticized, and so is his case for the claim that the concept of truth must be replaced because of its inconsistency.

I argue that one need not be an inferentialist in order to model inconsistent concepts, contrary to what some have thought. Representationalists can do so by adopting a form of bilateralism about contents. It remains unclear, however, why conceptual inconsistency would constitute a defect to be eliminated, rather than a vindication of dialetheism to be embraced. I suggest some answers to explore that involve accepting a descriptive form of dialetheism but denying its normative forms.

William Simkulet has recently criticised Colgrove et al ’s defence against what they have called inconsistency arguments—arguments that claim opponents of abortion act in ways inconsistent with their underlying beliefs about human fetuses. Colgrove et al presented three objections to inconsistency arguments, which Simkulet argues are unconvincing. Further, he maintains that OAs who hold that the fetus is a person at conception fail to act on important issues such as the plight of frozen embryos, poverty and spontaneous abortion. Thus, (...) they are morally negligent. In response, we argue that Simkulet has targeted a very narrow group of OAs, and so his criticisms are inapplicable to most OAs. We then explain why his responses to each of Colgrove et al’s objections do not succeed, even for this restricted group. Finally, we note that Simkulet fails to provide evidence for his claims regarding OAs’ supposed failures to act, and we show that OAs veritably do invest resources into these important issues. We conclude that Colgrove et al ’s reasons for rejecting inconsistency arguments remain intact. (shrink)

In graph theory, the concept of domination is essential in a variety of domains. It has broad applications in diverse fields such as coding theory, computer net work models, and school bus routing and facility lo cation problems. If a fuzzy graph fails to obtain acceptable results, neutrosophic sets and neutrosophic graphs can be used to model uncertainty correlated with indeterminate and inconsistent information in arbitrary real-world scenario. In this study, we consider the concept of domination as it relates (...) to single-valued neutrosophic incidence graphs (SVNIGs). Given the importance of domination and its utilization in numerous fields, we propose the application of dominating sets in SVNIG with valid edges. We present some relevant definitions such as those of valid edges, cardinality, and isolated vertices in SVNIG along with some examples. Furthermore, we also show a few significant sets connected to the dominating set in an SVNIG such as independent and irredundant sets. We also investigate a relationship between the concepts of dominating sets and domination numbers as well as irredundant and independence sets in SVNIGs. Finally, a real-life deployment of domination in SVNIGsis investigated in relation to COVID-19 vaccination locations as a practical application. (shrink)

This dissertation has two main goals. The first is to provide a practice-based analysis of the field of inconsistent mathematics: what motivates it? what role does logic have in it? what distinguishes it from classical mathematics? is it alternative or revolutionary? The second goal is to introduce and defend a new conception of inconsistent mathematics - queer incomaths - as a particularly effective answer to feminist critiques of classical logic and mathematics. This sets the stage for a genuine (...) revolution in mathematics, insofar as it suggests the need for a shift in mainstream attitudes about the role of logic and ethics in the practice of mathematics. (shrink)

The well-known empiricist apories of the lawfulness of nature prevent an adequate philosophical interpretation of empirical science until this day. Clarification can only be expected through an immanent refutation of the empiricist point of view. My argument is that Hume’s claim, paradigmatic for modern empiricism, is not just inconsequent, but simply contradictory: Empiricism denies that a lawlike character of nature can be substantiated. But, as is shown, anyone who claimes experience to be the basis of knowledge (as the empiricist naturally (...) does), has, in fact, always already presupposed the lawfullness of nature, i.e. has assumed the ontology of a nature lawful in itself. If lawfulness is, more closely, understood as dependency on conditions, then the functional character of the laws of nature is involved with the consequence that verification is not to be taken as a mere repetition of measurements but as clarification of the conditional structure of the physical process. Furthermore the functionality of the laws of nature also includes a statement on their invariance (relative to certain transformations) and so their lawlikeness. This throws a new light on the problem of induction. Seen in this way it is hardly surprising that the notorious neglect of the functional aspect in empiricism has led to fundamental problems with the concept of the law of nature. (shrink)

Toward a theory of n-tuples of individuals and concepts as surrogates for Russellian singular propositions and singular concepts. Alonzo Church proposed a powerful and elegant theory of sequences of functions and their arguments as singular-concept surrogates. Church’s account accords with his Alternative (0), the strictest of his three competing criteria for strict synonymy. The currently popular objection to strict criteria like (0) on the basis of the Russell-Myhill paradox is here rebutted. As Church recognized, Russell-Myhill is not a (...) problem specifically for Alternative (0). Rather it is a disproof of unrestricted concept comprehension. Unrestricted comprehension is also inconsistent with facts about sets of properties. It is demonstrated furthermore that the principal rival conception of propositions--propositions conceived as classes of possible worlds--is subject to a fatal philosophical collapse: It follows on that conception, given that each of us is fallible, that everyone believes everything. Although it is far superior to its principal rival conception, Church’s proposed theory is vulnerable under (0) to a version of Russell’s notorious Gray’s /Elegy/ objection. Some amendments to Church’s proposal are proffered that address Russell’s objection, including an amendment first proposed in the present author’s /Frege’s Puzzle/ (1986). Church’s response (personal correspondence) is considered. (shrink)

Multidimensional concepts are everywhere, and they are important. Examples include moral value, welfare, scientific confirmation, democracy, and biodiversity. How, if at all, can we aggregate the underlying dimensions of a multidimensional concept F to yield verdicts about which things are Fer than which overall? Social choice theory can be used to model and investigate this aggregation problem. Here, we focus on a particularly thorny problem made salient by this social choice-theoretic framework: the underlying dimensions of a given concept might (...) be measurable on different types of scales—e.g., some ordinal and some cardinal. An underappreciated impossibility theorem due to Anna Khmelnitskaya shows that seemingly plausible constraints on aggregation across scale types are inconsistent. This impossibility threatens to render the notion of overall Fness incoherent. We attempt to defuse this threat, arguing that the impossibility depends on an overly restrictive conception of measurement and of how measurement constrains aggregation. Adopting a more flexible—and, we think, more perspicuous—conception of measurement opens an array of possibilities for aggregation across disparate scale types. (shrink)

An important strand in philosophy of science takes scientific explanation to consist in the conveyance of some kind of information. Here I argue that this idea is also implicit in some core arguments of mechanists, some of whom are proponents of an ontic conception of explanation that might be thought inconsistent with it. However, informational accounts seem to conflict with some lay and scientific commonsense judgments and a central goal of the theory of explanation, because information is relative to (...) the background knowledge of agents. Sometimes we make lay judgments about whether a model is an explanation simpliciter, not just an explanation relative to some particular agent. And as philosophers of explanation, we would like a philosophical account to tell us when a model is an explanation simpliciter, not just when a model is an explanation relative to some particular agent. Thus, even if one’s account of explanation is not concerned with explanation qua communicative or speech act, the account’s reliance on the concept of information generates a prima facie conflict between the claims that 1) explanation is the conveyance of information, 2) information is relative to the background knowledge of an agent, and 3) some models are explanations not relative to the background knowledge of any particular agent. I sketch a solution to this puzzle by distinguishing informationally what I call “explanation simpliciter” from what I call “explanation-to,” relativizing the latter to an individual’s background knowledge and the former to what I call “total scientific background knowledge”. (shrink)

It is often assumed that concepts from the formal sciences, such as mathematics and logic, have to be treated differently from concepts from non-formal sciences. This is especially relevant in cases of concept defectiveness, as in the empirical sciences defectiveness is an essential component of lager disruptive or transformative processes such as concept change or concept fragmentation. However, it is still unclear what role defectiveness plays for concepts in the formal sciences. On the one hand, a common (...) view sees formal concepts to be protected against defects because of their precise and stable nature. On the other, studies going back as far as Lakatos (1963) showcase the changeability of such concepts. -/- In this paper, I will investigate if and how defectiveness based on the occurrence of inconsistencies can appear with formal concepts. To make the case as strong as possible, I employ a strict notion of formal concept that assumes the concept to have a fixed and definite extension. I will show that there are indeed certain types of defectiveness that cannot occur with such concepts; but that there are other types of defectiveness that do occur. This means that while formal concepts have to be treated differently than non-formal concepts, questions about defectiveness---as raised in the conceptual engineering debate and philosophy of science---can still be applied to them. I will highlight this point by showing how formal sciences have special strategies available to them that allow them to resolve defectiveness of their concepts in a flexible and informative manner. (shrink)

Glasgow's conception of the doctrine of ethical egoism - that everyone ought to promote his own interest - is mistaken. Ethical egoism rightly understood holds no such doctrine or normative principle, and regards the promotion of one's own interest neither a "duty" nor an "ought." Everyone does in fact promote his own interests.

In this paper I apply the concept of _inter-Model Inconsistency in Set Theory_ (MIST), introduced by Carolin Antos (this volume), to select positions in the current universe-multiverse debate in philosophy of set theory: I reinterpret H. Woodin’s _Ultimate L_, J. D. Hamkins’ multiverse, S.-D. Friedman’s hyperuniverse and the algebraic multiverse as normative strategies to deal with the situation of de facto inconsistency toleration in set theory as described by MIST. In particular, my aim is to situate these positions on the (...) spectrum from inconsistency avoidance to inconsistency toleration. By doing so, I connect a debate in philosophy of set theory with a debate in philosophy of science about the role of inconsistencies in the natural sciences. While there are important differences, like the lack of threatening explosive inferences, I show how specific philosophical positions in the philosophy of set theory can be interpreted as reactions to a state of inconsistency similar to analogous reactions studied in the philosophy of science literature. My hope is that this transfer operation from philosophy of science to mathematics sheds a new light on the current discussion in philosophy of set theory; and that it can help to bring philosophy of mathematics and philosophy of science closer together. (shrink)

In this paper I argue that the idiosyncrasy of linguistic competence fosters semantic conceptions in which meanings are taken for granted, such as the one that Quine calls ‘uncritical semantics’ or ‘the myth of the museum’. This is due to the degree of automaticity in the use of language which is needed for fluent conversation. Indeed, fluent conversation requires that we speakers instinctively associate each word or sentence with its meaning (or linguistic use), and instinctively resort to the conceptual repertoire (...) of our language, without calling into question that the meaning of a particular word, or the conceptual repertoire of our language, could have been different than they are. This habit of taking meanings for granted, inherent to our linguistic ability, sometimes interferes with our semantic research, hampering it. In order to illustrate this problem, I pinpoint four places in Quine’s work where, despite his acknowledged analytical rigour, and despite his congenital aversion to the habit of taking meanings for granted, he himself appears to slip into this habit, inadvertently. (shrink)

We sketch an account according to which the semantic concepts themselves are not pathological and the pathologies that attend the semantic predicates arise because of the intention to impose on them a role they cannot fulfill, that of expressing semantic concepts for a language that includes them. We provide a simplified model of the account and argue in its light that (i) a consequence is that our meaning intentions are unsuccessful, and such semantic predicates fail to express any (...) concept, and that (ii) in light of this it is incorrect to characterize the pathology simply as semantic inconsistency; a more nuanced view of the problem is needed. We also show that the defects of the semantic predicates need not undercut the use of a truth theory in a compositional semantics for a language containing them because the meaning theory per se need not involve commitment to the axioms of the truth theory it exploits. (shrink)

This volume considers forms of information manipulation and restriction in contemporary society. It explores whether and when manipulation of the conditions of inquiry without the consent of those manipulated is morally or epistemically justified. The contributors provide a wealth of examples of manipulation, and debate whether epistemic paternalism is distinct from other forms of paternalism debated in political theory. Special attention is given to medical practice, science communication, and research in science, technology, and society. Some of the contributors argue that (...) unconsenting interference with or "conceptual engineering" of people’s beliefs and ability of inquire is consistent with, and others that it is inconsistent with, efforts to democratize knowledge and decision-making. (shrink)

This paper presents a series of studies (total N=579) which demonstrate that folk judgments concerning the reasonableness of decisions and actions depend strongly on whether they engender positive or negative consequences. A particular decision is deemed more reasonable in retrospect when it produces beneficial consequences than when it produces harmful consequences, even if the situation in which the decision was taken and the epistemic circumstances of the agent are held fixed across conditions. This finding is worrisome for the law, where (...) the reasonable person standard plays a prominent role. The legal concept of reasonableness is outcome-insensitive: whether the defendant acted in a reasonable fashion or not depends exclusively on her context of action, no matter how things play out. Folk judgments of reasonableness are thus inconsistent with the legal concept of reasonableness. Problematically, in common law jurisdictions, the decision whether a defendant’s behavior was reasonable or not is frequently (though not necessarily) delegated to a lay jury. (shrink)

The thesis deals with the concept of truth and the paradoxes of truth. Philosophical theories usually consider the concept of truth from a wider perspective. They are concerned with questions such as - Is there any connection between the truth and the world? And, if there is - What is the nature of the connection? Contrary to these theories, this analysis is of a logical nature. It deals with the internal semantic structure of language, the mutual semantic connection of sentences, (...) above all the connection of sentences that speak about the truth of other sentences and sentences whose truth they speak about. Truth paradoxes show that there is a problem in our basic understanding of the language meaning and they are a test for any proposed solution. It is important to make a distinction between the normative and analytical aspect of the solution. The former tries to ensure that paradoxes will not emerge. The latter tries to explain paradoxes. Of course, the practical aspect of the solution is also important. It tries to ensure a good framework for logical foundations of knowledge, for related problems in Artificial Intelligence and for the analysis of the natural language. Tarski’s analysis emphasized the T-scheme as the basic intuitive principle for the concept of truth, but it also showed its inconsistency with the classical logic. Tarski’s solution is to preserve the classical logic and to restrict the scheme: we can talk about the truth of sentences of a language only inside another essentially richer metalanguage. This solution is in harmony with the idea of reflexivity of thinking and it has become very fertile for mathematics and science in general. But it has normative nature | truth paradoxes are avoided in a way that in such frame we cannot even express paradoxical sentences. It is also too restrictive because, for the same reason we cannot express a situation in which there is a circular reference of some sentences to other sentences, no matter how common and harmless such a situation may be. Kripke showed that there is no natural restriction to the T-scheme and we have to accept it. But then we must also accept the riskiness of sentences | the possibility that under some circumstances a sentence does not have the classical truth value but it is undetermined. This leads to languages with three-valued semantics. Kripke did not give any definite model, but he gave a theoretical frame for investigations of various models | each fixed point in each three-valued semantics can be a model for the concept of truth. The solutions also have normative nature | we can express the paradoxical sentences, but we escape a contradiction by declaring them undetermined. Such a solution could become an analytical solution only if we provide the analysis that would show in a substantial way that it is the solution that models the concept of truth. Kripke took some steps in the direction of finding an analytical solution. He preferred the strong Kleene three-valued semantics for which he wrote it was "appropriate" but did not explain why it was appropriate. One reason for such a choice is probably that Kripke finds paradoxical sentences meaningful. This eliminates the weak Kleene three valued semantics which corresponds to the idea that paradoxical sentences are meaningless, and thus indeterminate. Another reason could be that the strong Kleene three valued semantics has the so-called investigative interpretation. According to this interpretation, this semantics corresponds to the classical determination of truth, whereby all sentences that do not have an already determined value are temporarily considered indeterminate. When we determine the truth value of these sentences, then we can also determine the truth value of the sentences that are composed of them. Kripke supplemented this investigative interpretation with an intuition about learning the concept of truth. That intuition deals with how we can teach someone who is a competent user of an initial language (without the predicate of truth T) to use sentences that contain the predicate T. That person knows which sentences of the initial language are true and which are not. We give her the rule to assign the T attribute to the former and deny that attribute to the latter. In that way, some new sentences that contain the predicate of truth, and which were indeterminate until then, become determinate. So the person gets a new set of true and false sentences with which he continues the procedure. This intuition leads directly to the smallest fixed point of strong Kleene semantics as an analytically acceptable model for the logical notion of truth. However, since this process is usually saturated only on some transfinite ordinal, this intuition, by climbing on ordinals, increasingly becomes a metaphor. This thesis is an attempt to give an analytical solution to truth paradoxes. It gives an analysis of why and how some sentences lack the classical truth value. The starting point is basic intuition according to which paradoxical sentences are meaningful (because we understand what they are talking about well, moreover we use it for determining their truth values), but they witness the failure of the classical procedure of determining their truth value in some "extreme" circumstances. Paradoxes emerge because the classical procedure of the truth value determination does not always give a classically supposed (and expected) answer. The analysis shows that such an assumption is an unjustified generalization from common situations to all situations. We can accept the classical procedure of the truth value determination and consequently the internal semantic structure of the language, but we must reject the universality of the exterior assumption of a successful ending of the procedure. The consciousness of this transforms paradoxes to normal situations inherent to the classical procedure. Some sentences, although meaningful, when we evaluate them according to the classical truth conditions, the classical conditions do not assign them a unique value. We can assign to them the third value, \undetermined", as a sign of definitive failure of the classical procedure. An analysis of the propagation of the failure in the structure of sentences gives exactly the strong Kleene three-valued semantics, not as an investigative procedure, as it occurs in Kripke, but as the classical truth determination procedure accompanied by the propagation of its own failure. An analysis of the circularities in the determination of the classical truth value gives the criterion of when the classical procedure succeeds and when it fails, when the sentences will have the classical truth value and when they will not. It turns out that the truth values of sentences thus obtained give exactly the largest intrinsic fixed point of the strong Kleene three-valued semantics. In that way, the argumentation is given for that choice among all fixed points of all monotone three-valued semantics for the model of the logical concept of truth. An immediate mathematical description of the fixed point is given, too. It has also been shown how this language can be semantically completed to the classical language which in many respects appears a natural completion of the process of thinking about the truth values of the sentences of a given language. Thus the final model is a language that has one interpretation and two systems of sentence truth evaluation, primary and final evaluation. The language through the symbol T speaks of its primary truth valuation, which is precisely the largest intrinsic fixed point of the strong Kleene three valued semantics. Its final truth valuation is the semantic completion of the first in such a way that all sentences that are not true in the primary valuation are false in the final valuation. (shrink)

In this review I briefly analyse the main elements of each chapter of the book centred in the general areas of logic, epistemology, philosophy and history of science. Most of them are developed around a fine-grained investigation on the principle of non-contradiction and the concept of consistency, inquired mainly into the broad area of paraconsistent logics. The book itself is the result of a work that was initiated on the Studia Logica conference "Trends in Logic XVI: Consistency, Contradiction, Paraconsistency and (...) Reasoning - 40 years of CLE", held at the State University of Campinas (Unicamp), Brazil, between September 12-15, 2016. (shrink)

The programmatic statement put forward in von Wright's last works on deontic logic introduces the perspective of logical pragmatics, which has been formally explicated here and extended so to include the role of norm-recipient as well as the role of norm-giver. Using the translation function from the language of deontic logic to the language of set-theoretical approach, the connection has been established between the deontic postulates, on one side, and the perfection properties of the norm-set and the counter-set, on the (...) other side. In the study of conditions of rational norm-related activities it has been shown that diverse dynamic second-order norms related to the concept of the consistency norm-system hold: -- the norm-giver ought to restore ``classical'' consistency by revising an inconsistent system, -- the norm-recipient ought to preserve an inconsistent system by revision of its logic so that inconsistency does not imply destruction of the system. Dialetheic deontic logic of Priest is a suitable logic for the purpose since it preserves other perfection properties of the system. (shrink)

Man is a seeker by nature. He searches for truth. An ordinary man cannot be indifferent to truth because of the deep quest within him for truth. Gandhi lived his whole life in the perpetual quest for truth. He lived and moved in pursuit of this goal. This pursuit of seeking truth under the banner of philosophical education makes educational philosophizing moral. One can perfect these ideologies of different schools and make philosophizing in education better by placing truth in the (...) center. Thus, an idealist can evolve a realization of truth, a naturalist can bring about the true nature and potentialities of the individual, and pragmatists can rejuvenate the minds with a truth-oriented strategy and existential thinkers can invite truth into them so that they can avoid fear and dread. The Gandhian vision of Satya offers us the key to integral education. Following the footprints of Satya not only satisfies the Gandhian aims for education but it also helps the human person to continue his role on the earth as the seeker of truth. The aim of my research is to explore whether the concept of the truth of Mahatma Gandhi could be used as a platform for philosophical education? Can we take inspiration from Gandhian thoughts so that philosophizing may not engage itself in hermeneutical violence to bring out the truth (of our making) but a hermeneutical ahimsa that lets the truth show itself? Truth for Gandhi was equal to one of his lungs. He spoke the truth, wrote on truth, and exhorted people to be truthful. Gandhi made the concept of truth central to metaphysics, epistemology, morality, and the philosophy of religion. Truth was the guiding principle for Gandhi in all these disciplines. When we bring in truth as the guiding principle in the philosophy of education we envisage an educational community of all truth seekers traveling together in freedom to come to an ever-increasing approximation of truth. Should philosophy stop the pursuit of truth (satya) as Rorty claims? Is communication of truth irrelevant as no truth is ascertainable as skeptics claim? Is the will to communicate truth senseless since truth is an illusion? Do these approaches satisfy the philosophical minds that are after truth? The methodology I pursue in this thesis is an exploratory, analytical, and critical approach. a) Analytical: The basic method to be used is to analyze the existing works and apprehend their significance in the area of education, in particular philosophical education. b) Critical: a critical and comprehensive analysis of the concept of truth is followed in the research to represent the significance of truth in philosophical education. Man cannot be indifferent to truth since there is a longing for truth in the heart of every human being. Hence the need to search for it with all one’s might through success does not come everyone’s way in the same measure. The reason for this is that there are certain factors that impede our search and they even distort our understanding. They are natural limitations of reason, inconsistency of the heart, worldly concerns, and fear of the demand that truth makes. Hence it is necessary to overcome these in the search for truth. In his dealings with others, the human person wishes that the other may communicate his truth and only truth. Gandhian invitation is to be an experimenter with truth. Truth is that all seek and want above everything. No one wishes to compromise on that. When we bring in truth as the guiding principle in the philosophy of education we envisage an educational community of all truth seekers traveling together in freedom to come to an ever-increasing approximation of truth. They are compelled to study and defend truth in a better way when they are confronted. They will be forced to discern the core of truth from its formulations. That is the role of the experimenter with the truth. -/- In this research paper, I attempt to present M. K. Gandhi as an educationist giving emphasis only on his concept of truth. It is a limited approach to Gandhian educational philosophy because when I attend only to the concept of truth I fail to include very many other aspects of his educational philosophy like craft-centered education, teaching methods, education for different sections of society, etc. It also limits me to criticizing Gandhian dislike for the higher education system appropriately. However, the notion of truth is a common platform that could be shared by three important branches of philosophical education, namely the naturalistic, the idealistic, and the pragmatic. (shrink)

John Schellenberg’s version of the divine hiddenness argument is based on a concept of God as an omnipotent, morally perfect, and ontologically perfect being. I show that Schellenberg develops his argument in a way that is inconsistent with each of these aspects, from which it follows that the argument in question proves to be unsustainable.

Mallon and Kelly claim that hybrid constructionism predicts, at least, that (1) racial representations are stable over time and (2) that racial representations should vary more in mixed-race cultures than in cultures where there is less racial mixing. I argue that hybrid constructionism’s predictions do not obtain and thus hybrid constructionism requires further evidence. I argue that the historical record is inconsistent with hybrid constructionism, and I suggest that humans may not be innately disposed to categorize people by race (...) even though we are likely disposed to categorize people into in and out groups. So, in this paper, I show that there is an evidence set that is inconsistent with hybrid constructionism. (shrink)

Abstract: From familiar concepts like TALL and TABLE to exotic ones like GRAVITY and GENOCIDE, they guide our lives and are the basis for how we represent the world. However, there is good reason to think that many of our most cherished concepts, like TRUTH, FREEDOM, KNOWLEDGE, and RATIONALITY are defective in the sense that the rules for using them are inconsistent. This defect leads those who possess these concepts into paradoxes and absurdities. Indeed, I argue (...) that many of the central problems of contemporary philosophy should be thought of as having their source in philosophical concepts that are defective in this way. If that is right, then we should take a more active role in crafting and sculpting our conceptual repertoire. We need to explore various ways of replacing these defective concepts with ones that will still do the work we need them to do without leading us into contradictions. (shrink)

Various psychopathologies of self-awareness, such as somatoparaphrenia and thought insertion in schizophrenia, might seem to threaten the viability of the higher-order thought (HOT) theory of consciousness since it requires a HOT about one’s own mental state to accompany every conscious state. The HOT theory of consciousness says that what makes a mental state a conscious mental state is that there is a HOT to the effect that “I am in mental state M.” I have argued in previous work that a (...) HOT theorist can adequately respond to this concern with respect to somatoparaphrenia and thought insertion. There is also Cotard syndrome which is a rare neuropsychiatric disorder in which people hold the delusional belief that they are dead, do not exist, or have lost their blood or internal organs. In this paper, I argue that HOT theory has nothing to fear from it either and can consistently account for what happens in such unusual cases. I analyze Cotard syndrome in light of my previous discussion of somatoparaphrenia and thought insertion, and argue that HOT theory can provide a somewhat analogous account without the worry of inconsistency. It is crucial to recognize that there are multiple “self-concepts” and levels of HOTs which can help to provide a more nuanced explanation. With regard to the connection between consciousness and self-consciousness, it is proposed that Cotard patients are indeed capable of having some “I-thoughts” about their bodies and mental states. (shrink)

This dissertation attempts to settle some challenging historiographic issues concerning the origin and development of the concept of economic equilibrium. Specifically, our research goal is to identify the philosophical and historical drivers of the mathematization of economic theory. To this end, we attempt to answer three fundamental research questions. First, why (and not how) has economics become a mathematical science? Second, what are the major methodological blunders that lie at the foundations of Modern General Equilibrium Theory? Third, is the contemporary (...) criticism of Modern General Equilibrium Theory meaningful and well-founded? In order, chapters 1-3 address the first question, chapters 4 and 5 address the second, whereas chapter 6 addresses the third question. Regarding the first question, we investigate the methodological relationships between Modern Physics, Modern Philosophy, and Walras’s Theory of General Equilibrium. Interestingly, our findings reveal that while the study of motion in Modern Physics relies upon a clear distinction between static and dynamic equilibrium, early mathematical economics borrows its methodology from Modern Physics but relies upon an Aristotelian conception of equilibrium. Furthermore, we identify exciting analogies between Kant’s philosophy and Walras’s Elements. Finally, we show that the so-called Walras Paradox also features another unexplored dimension. Namely, Walras’s work overall relies upon a bottom-up approach to mathematics. Yet Walras’s work includes problems that require a top-down approach to mathematics to be solved. Regarding the second question, we delve into the tight relationship between the History of Mathematics in the 19th Century, the Philosophy of Mathematics in the 20th Century, and the development of Modern General Equilibrium Theory in the 20th Century. Notably, we find that the top-down approach to mathematics provides economists with a reliable methodology to resolve the problems in Walras’s original work. Hence, the mathematization of General Equilibrium Theory in the 20th Century is a child of its time that carries the inapplicability of pure mathematics to real-world problems along with itself. Therefore, although the mathematization of General Equilibrium Theory is an unprecedented milestone in economic theory, the foundations of Modern General Equilibrium Theory inherit the methodological shortcomings of Contemporary Mathematics. That is why the Sonnenschein-Mantel-Debreu does not overtake the Aristotelian conception of equilibrium. Accordingly, we rebut the claim that Debreu and colleagues' mathematization of General Equilibrium Theory resolves the fundamental methodological shortcomings of Walras’s original work. Eventually, we use our answers to our first and second research questions to address the contemporary criticism of General Equilibrium Theory. On the one hand, we show that the latter criticism does not account for the fact that General Equilibrium Theory inherits the scientific realism and determinism of Modern Physics. In other words, we argue that the inability of General Equilibrium models to manage uncertainty effectively has nothing to do with its mathematization in the 20th Century. Instead, it results from the unexplored dimension of the Walras Paradox, which we uncover. On the other hand, we show that common accusations of inconsistency, incompleteness, and undecidability in General Equilibrium Theory are ill-founded. That is because other rigorous alternatives to axiomatization in economics are not paradox-free. On these grounds, we conclude that a much better option is to employ a topic-neutral language to provide rigorous presentations of contested concepts in economics. Particularly, we show that formal mereology offers a convenient methodological framework to resolve the disagreement between the Neoclassical and Institutionalist economists’ respective definitions of the concept of the market. In this way, we show that the latter concept is definable as a process. But, more importantly, we note that formal mereology also offers a convenient framework to reformulate other economic concepts concisely and rigorously. In this regard, we observe that formal mereology might provide a resolution for Hayek’s Problem because it would enable economists to define general equilibrium as a perduring socioeconomic process. -/- In case you want a copy of my dissertation, please email me. (shrink)

Background: Despite the at least decades long record of philosophical recognition and interest, the intricacy of the deceptively familiar appearing concepts of ‘disease’, ‘disorder’, ‘disability’, etc., has only recently begun showing itself with clarity in the popular discourse wherein its newly emerging prominence stems from the liberties and restrictions contingent upon it. Whether a person is deemed to be afflicted by a disease or a disorder governs their ability to access health care, be it free at the point of (...) use or provided by an insurer; it also influences the treatment of individuals by the judicial system and employers; it even affects one’s own perception of self. -/- Aims: All existing philosophical definitions of disease struggle with coherency, causing much confusion and strife, and leading to inconsistencies in real-world practice. Hence, there is a real need for an alternative. -/- Materials & Methods: In the present article I analyse the variety of contemporary views of disease, showing them all to be inadequate and lacking in firm philosophical foundations, and failing to meet the desideratum of patient driven care. -/- Results: Illuminated by the insights emanating from the said analysis, I introduce a novel approach with firm ethical foundations, which foundations are rooted in sentience, that is the subjective experience of sentient beings. -/- Discussion: I argue that the notion of disease is at best superfluous, and likely even harmful in the provision of compassionate and patient-centred care. -/- Conclusion: Using a series of presently contentious cases illustrate the power of the proposed framework which is capable of providing actionable and humane solutions to problems that leave the current theories confounded. (shrink)

In a recent paper, Dennis Plaisted examines an important argument that Leibniz gives for the existence of primitive concepts. After sketching a natural reading of this argument, Plaisted observes that the argument appears to imply something clearly inconsistent with Leibniz’s other views. To save Leibniz from contradiction, Plaisted offers a revision. However, his account faces a number of serious difficulties and therefore does not successfully eliminate the inconsistency. We explain these difficulties and defend a more plausible alternative. In (...) the process, we call attention to the neglected topic of Leibniz’s views on the nature of conceiving, and reveal his commitment to the somewhat surprising thesis that one can conceive something through a concept even if one has no conscious grasp of that concept. (shrink)

Restorative justice (RJ) in the secure estate is widespread internationally, although piecemeal and inconsistent in its application. It exists in the form of many practices such as mediation, conferencing, circles, and panels. As the interest in RJ continues to grow, this research takes a step back to ask how reconcilable RJ is with incapacitation. Through a combination of normative thinking, literature review, and primary research that applied qualitative methodologies over a 3-year period, the article examines where the two notions (...) meet in their intentions and expected outcomes. A new classification of restorative practices in prisons is proposed, placed in the context of case studies of existing programs from around the world. (shrink)

The thesis I should like to advance in this essay is that Plato cannot and, in fact, does not adhere consistently to the doctrine that to know the good is to do the good. First, in order to display the paradoxes in the Platonic ethical system, I shall discuss the concept of the homogeneity of the good which Plato explicitly endorses. Second, by referring to Plato's practice, I shall endeavor to demonstrate that he treats the good as heterogeneous although this (...) treatment is inconsistent with his equation of knowledge with virtue. I shall use the descriptive phrase 'homogeneity of the good' to stand for that conception of the good which identifies the good exclusively with the moral good. I shall use the descriptive phrase 'heterogeneity of the good' to stand for that conception of the good which includes in the definition of good mixed pleasures or the natural good. Our understanding of the good as heterogeneous allows us to clarify many of the paradoxes present in Platonic ethics and affords us a deeper understanding of Plato. (shrink)

The current industrial revolution is said to be driven by the digitization that exploits connected information across all aspects of manufacturing. Standards have been recognized as an important enabler. Ontology-based information standard may provide benefits not offered by current information standards. Although there have been ontologies developed in the industrial manufacturing domain, they have been fragmented and inconsistent, and little has received a standard status. With successes in developing coherent ontologies in the biological, biomedical, and financial domains, an effort (...) called Industrial Ontologies Foundry (IOF) has been formed to pursue the same goal for the industrial manufacturing domain. However, developing a coherent ontology covering the entire industrial manufacturing domain has been known to be a mountainous challenge because of the multidisciplinary nature of manufacturing. To manage the scope and expectations, the IOF community kicked-off its effort with a proof-of-concept (POC) project. This paper describes the developments within the project. It also provides a brief update on the IOF organizational set up. (shrink)

It is tempting to interpret Marilyn Strathern as saying that the concept of nature is a social construction, because in her essay “No Nature, No Culture: the Hagen Case” she tells us that the Hagen people do not describe the world using this concept. However, I point out an obstacle to interpreting her in this way, an obstacle which leads me to reject this interpretation. Interpreting her in this way makes her inconsistent. The inconsistency is owing to a commitment (...) that she shares with previous British anthropologists, a commitment which points to an incompatibility between two intellectual traditions. (shrink)

Spinoza's use of the phrase “sui iuris” in the Tractatus Politicus gives rise to the following paradox. On the one hand, one is said to be sui iuris to the extent that one is rational; and to the extent that one is rational, one will steadfastly obey the laws of the state. However, Spinoza also states that to the extent that one adheres to the laws of the state, one is not sui iuris, but rather stands under the power [sub (...) potestate] of the state (TP 3/5). It seems, then, that to the extent that one is sui iuris, one will not, in fact, be sui iuris. In this paper, I offer an interpretation of Spinoza's notion of being sui iuris that enables us to overcome this paradox and sheds light on Spinoza's relationship to the republican tradition. I work towards this goal by distinguishing between two ways in which Spinoza uses the locution, which correspond to two different conceptions of power: potentia and potestas. This distinction not only allows us to save Spinoza from internal inconsistency, it also enables us to see one important way in which Spinoza stands outside of the republican tradition, since he conceives of liberty not as constituted by independence, or citizenship in a res publica, but as being sui iuris in the first sense described above: being powerful. (shrink)

This article reflects on whether today, there is a need for a ‘new’ educational ideal of rationality. To articulate that objective, a critical analysis is made of the pedagogical ideas underlying two conflicting trends: transhumanism and critical thinking. First, the distinctive identity of the transhumanist philosophical movement is examined in terms of its partial ascription to, and, given its attempts to overcome it, its renunciation of Humanism. In the face of the apparent promises and pitfalls that techno-science portends for pedagogical (...) discourse, a distrust of reason is imminent. Contrary to such an assumption, critical thinking, as the embodiment of rationality in Israel Scheffler’s conception, illuminates the inconsistencies of scientific imperialism that conceal the moral-rational aspects of teaching. In view of the above, the discussion focuses on the relationship between theory and practice, justification and commitment, fallibility and wisdom; in short, between the moral and the rational of any educational ideal to be proposed.___________________________________________________________________________________________ ____________________________________________________________________________________________________ ________________________________ -/- Questo articolo riflette sulla necessità di un “nuovo” ideale educativo di razionalità. Per articolare tale obiettivo, viene effettuata un’analisi critica delle idee pedagogiche alla base di due tendenze in conflitto: il transumanesimo e il pensiero critico. In primo luogo, si esamina l’identità distintiva del movimento filosofico transumanista in termini di parziale ascrizione e, visti i suoi tentativi di superamento, di rinuncia all’Umanesimo. Di fronte alle apparenti promesse e insidie che la tecno-scienza comporta per il discorso pedagogico, si profila una sfiducia nella ragione. Contrariamente a tale ipotesi, il pensiero critico, in quanto incarnazione della razionalità nella concezione di Israel Scheffler, illumina le incongruenze dell’imperialismo scientifico che nascondono gli aspetti morali-razionali dell’insegnamento. Alla luce di quanto detto, la discussione si concentra sul rapporto tra teoria e pratica, giustificazione e impegno, fallibilità e saggezza; in breve, tra morale e razionale di qualsiasi ideale educativo da proporre.___________________________________________________________________________________________ ____________________________________________________________________________________________________ ________________________________________________________________HOW TO CITE / CÓMO CITAR: Castillo, P. (2023). Does There Exist a Need for a ‘New’ Educational Ideal of Rationality? The Crossroads between Transhumanism and Israel Scheffler’s Conception of Critical Thinking. Encyclopaideia: Journal of Phenomenology and Education, 27(66), 49-61. (shrink)

The concept of toleration occupies an important position in contemporary societal debates. I will analyse the concept by considering the apparent inconsistency between what I regard as the genuine meaning of the concept of toleration and the prevalent common perception of toleration. One essential factor in the concept of toleration is the negative evaluation of the subject matter. However, this decisive feature appears to have become obsolete in the prevalent common perception of toleration. I will examine the normative implications of (...) the imprecise usage of ´toleration´/´tolerance´ caused by the vague perception of the concept. Furthermore, I argue there to be a significant, yet underemphasised linguistic power inherent to ´toleration´/´tolerance´, which is influential in how it perpetuates negative attitudes towards various minorities and maintains thereby unjust societal relations. Since ´toleration´/´tolerance´ appears insufficient to address the changed social reality in which attitudes towards minorities have remarkably progressed, I will adopt the approach of conceptual engineering to outline a concept capable of replacing ´toleration´/´tolerance´. I suggest that a new concept to supersede toleration should carry the ethos of respect, yet have the conceptual scope and precision of tolerance/toleration, to be intuitively appealing to replace it. I propose to replace ´toleration´ with ´respectation´ and ´tolerance´ with ´respectance´. (shrink)

In 1859–1860, Johan Jacob Borelius published two diatribes against Christopher Jacob Boström, the then dominating philosopher in Sweden. Boström was accused of inconsistency, because he asserted the principle of esse est percipi while at the same time maintaining that different agents can perceive one and the same thing differently. It is suggested that Borelius misunderstood Boström’s intention. In his printed defence, in 1860, Boström clarifies his use of a dual conception of meaning, resembling Frege’s distinction between Sinn (sense) and Bedeutung (...) (reference) some thirty years later. Boström appears to equate the reference of esse with that of percipi, whereas Borelius argued as if the principle concerned the senses of the two expressions. According to Borelius, two observers cannot possibly have different perceptions of the same object, if “to be” means “to be perceived”. In Boström’s view, as reconstructed here, two different phenomenal perceptions may well refer to one and the same true object, of which the phenomena are aspects. The true object exists in virtue of its being determined by God’s perfect ideas. (shrink)

Conceptual engineers are always on the lookout for concepts that can be improved upon or replaced. Kevin Scharp has argued that the concept truth is inconsistent, and that this inconsistency thwarts its ability to serve in philosophical and scientific explanatory projects, such as developing linguistic theories of meaning. In this paper I present Scharp’s view about what makes a concept inconsistent, and why he believes that truth in particular is inconsistent. Then I examine the concepts (...) that he suggests should replace truth for various explanatory and expressive duties. I argue that those concepts are not up to the tasks for which they are posited, and so Scharp’s replacement methodology itself needs to be reengineered. (shrink)

The thesis that nothing is true has long been thought to be a self-refuting position not worthy of serious philosophical consideration. Recently, however, the thesis of alethic nihilism—that nothing is true—has been explicitly defended (notably by David Liggins). Nihilism is also, I argue, a consequence of other views about truth that have recently been advocated, such as fictionalism about truth and the inconsistency account. After offering an account of alethic nihilism, and how it purports to avoid the self-refutation problem, I (...) argue that it avoids the problem at the expense of changing the subject. I then present other arguments against nihilism and responses to the considerations offered in defense of it. The only tenable position is that something is indeed true. (shrink)

Of the dozens of purported solutions to the liar paradox published in the past fifty years, the vast majority are "traditional" in the sense that they reject one of the premises or inference rules that are used to derive the paradoxical conclusion. Over the years, however, several philosophers have developed an alternative to the traditional approaches; according to them, our very competence with the concept of truth leads us to accept that the reasoning used to derive the paradox is sound. (...) That is, our conceptual competence leads us into inconsistency. I call this alternative the inconsistency approach to the liar. Although this approach has many positive features, I argue that several of the well-developed versions of it that have appeared recently are unacceptable. In particular, they do not recognize that if truth is an inconsistent concept, then we should replace it with new concepts that do the work of truth without giving rise to paradoxes. I outline an inconsistency approach to the liar paradox that satisfies this condition. (shrink)

The idea of the life-world: Life-world is a concept present in various texts about Husserl’s phenomenology. Some interpreters consider it a late and inconsistent concept present in The Crisis of European Sciences and Transcendental Phenomenology. In this paper, I argue that the idea of the life-world had already been thought in Husserl’s early texts such as Ideas II. This idea was firstly named as surrounding world, then world of experience, and finally life-world. However, despite the different nomenclature, the essence (...) of the life-world remains the same throughout his work. The life-world is a priori, transcendent, and co-given. I will analyze each of these characteristics and conclude in favor of a conceptual monism running through Husserl’s work. Keywords: Husserl, life-world, a priori, transcendent, co-given. (shrink)

Why is it useful to talk and think about knowledge-how? Using Edward Craig’s discussion of the function of the concepts of knowledge and knowledge-how as a jumping off point, this paper argues that considering this question can offer us new angles on the debate about knowledge-how. We consider two candidate functions for the concept of knowledge-how: pooling capacities, and mutual reliance. Craig makes the case for pooling capacities, which connects knowledge-how to our need to pool practical capacities. I argue (...) that the evidence is much more equivocal. My suggested diagnosis is that the concept of knowledge-how plays both functions, meaning that the concept of knowledge-how is inconsistent, and that the debate about knowledge-how is at least partly a metalinguistic negotiation. In closing, I suggest a way to revise the philosophical concept of knowledge how. (shrink)

Since World War II the concept of Information has received several new definitions. Information can be understood as knowledge in general, as theoretical, formalized knowledge in general or as knowledge related to specific domains or specific representational forms. Because of these mutually inconsistent concepts the common traits are to be found in a perspective transcendent to those theories. The central cultural changes, it is argued, take place on the level of the societal knowledge infrastructure, evolving from the knowledge (...) infrastructure of the industrial societies as a long-term secularization process, resulting in new forms for representation and manipulation of knowledge. The process is seen as rooted in changes of the primary domains for knowledge extraction and in a change in the human relations to the languages in which we interpret the relations to nature. (shrink)

Multialgebras have been much studied in mathematics and in computer science. In 2016 Carnielli and Coniglio introduced a class of multialgebras called swap structures, as a semantic framework for dealing with several Logics of Formal Inconsistency that cannot be semantically characterized by a single finite matrix. In particular, these LFIs are not algebraizable by the standard tools of abstract algebraic logic. In this paper, the first steps towards a theory of non-deterministic algebraization of logics by swap structures are given. Specifically, (...) a formal study of swap structures for LFIs is developed, by adapting concepts of universal algebra to multialgebras in a suitable way. A decomposition theorem similar to Birkhoff’s representation theorem is obtained for each class of swap structures. Moreover, when applied to the 3-valued algebraizable logics J3 and Ciore, their classes of algebraic models are retrieved, and the swap structures semantics become twist structures semantics. This fact, together with the existence of a functor from the category of Boolean algebras to the category of swap structures for each LFI, suggests that swap structures can be seen as non-deterministic twist structures. This opens new avenues for dealing with non-algebraizable logics by the more general methodology of multialgebraic semantics. (shrink)

The concept of ‘pareto superiority’ plays a central role in ethics, economics, and law. Pareto superiority is sometimes taken as a relation between outcomes, and sometimes as a relation between actions—even where the outcomes of the actions are uncertain. Whether one action is classed as (ex ante) pareto superior to another depends on the prospects under the actions for each person concerned. I argue that a person’s prospects (in this context) can depend on how that person is designated. Without any (...) constraints on acceptable designators, then, the concept of pareto superiority is ill defined and gives inconsistent results. I consider various ways of completing the definition and draw out some surprising implications. (shrink)

The article analyzes the main aspects of the interpretation of philosophical thinking by the Polish philosopher Leszek Kolakowskі (1927–2009). He is more known as a brilliant disputant on the history of Marxism and the prospects for the further development of Marxist theory, but his thoughts on the nature and functions of philosophical thinking in the broadest sense are of no less importance, since they address the painful issue of the autonomy of thinking. The purpose of the article is to reconstruct (...) the principles that, according to the philosopher, would allow thinking to maintain its autonomy under the pressure of ideas and ideologies. Utopia and nihilism in the interpretation of L. Kolakowskі appear as temptations of the modern world. It is in the quest for defending from these “monsters” (L. Kolakowskі) that the philosopher comes to the conclusion that the basis of utopia and nihilism are certain ideas about the truth. Through the prism of this theoretical discovery, he reveals the importance of consensus, tolerance, compromise, and non-consistency (inconsistency) as epistemological tools of support or undermining of ideologies. The basic epistemological model the philosopher used has been reproduced by means of theoretical reconstruction. This is the attitude of the subject to the truth, which is realized in two ways: to either master the truth on the basis of certain beliefs or neglect the truth on the basis of other beliefs. With the help of this model, the philosopher comes to understanding that dogmatism and unification are not only utopian diseases but also nihilists. The reason for this is loyalty to one’s own truth, that is, thinking without gaps based on unchanging principles and aimed at reproducing certain institutional and social constants. Instead, inconsistency as a principle forms a completely different setting, the advantage of which is that it extends to itself and frees a thinker from the need to be or not to be consistent, but does not relieve the search of truth and meaning, without which human existence is impossible, according to L. Kolakowskі. The reconstruction was carried out on the basis of analysis of articles and essays of various years, combined with the development of concepts of utopia and nihilism as alternative projects of human existence, rooted in the epistemological directions of the subject. (shrink)

Not unlike many contemporary philosophers, Leibniz admitted the existence of temporary truths, true propositions that have not always been or will not always be true. In contrast with contemporary philosophers, though, Leibniz conceived of truth in terms of analytic containment: on his view, the truth of a predicative sentence consists in the analytic containment of the concept expressed by the predicate in the concept expressed by the subject. Given that analytic relations among concepts are eternal and unchanging, the problem (...) arises of explaining how Leibniz reconciled one commitment with the other: how can truth be temporary, if concept-containment is not? This paper presents a new approach to this problem, based on the idea that a concept can be consistent at one time and inconsistent at another. It is argued that, given a proper understanding of what it is for a concept to be consistent, this idea is not as problematic as it may seem at first, and is in fact implied by Leibniz’s general views about propositions, in conjunction with the thesis that some propositions are only temporarily true. (shrink)

Pettit (2006) argues that deferring to majority testimony is not generally rational: it may lead to inconsistent beliefs. He suggests that “another ... approach will do better”: deferring to supermajority testimony. But this approach may also lead to inconsistencies. In this paper, I describe conditions under which deference to supermajority testimony ensures consistency, and conditions under which it does not. I also introduce the concept of “consistency of degree k”, which is weaker than full consistency by ruling out only (...) “blatant” inconsistencies in an agent’s beliefs while permitting less blatant ones, and show that, while super-majoritarian deference often fails to ensure full consistency, it is a route to consistency in this weaker sense. (shrink)

A RELATIVISTIC THEORY OF PHENOMENOLOCICAL CONSTITUTION: A SELF-REFERENTIAL, TRANSCENDENTAL APPROACH TO CONCEPTUAL PATHOLOGY. (Vol. I: French; Vol. II: English) -/- Steven James Bartlett -/- Doctoral dissertation director: Paul Ricoeur, Université de Paris Other doctoral committee members: Jean Ladrière and Alphonse de Waehlens, Université Catholique de Louvain Defended publically at the Université Catholique de Louvain, January, 1971. -/- Universite de Paris X (France), 1971. 797pp. -/- The principal objective of the work is to construct an analytically precise methodology which can serve (...) to identify, eliminate, and avoid a certain widespread _conceptual fault_ or _misconstruction_, called a "projective misconstruction" or "projection" by the author. It is argued that this variety of error in our thinking (i) infects a great number of our everyday, scientific, and philosophical concepts, claims, and theories, (ii) has largely been undetected, and (iii), when remedied, leads to a less controversial and more rigorous elucidation of the transcendental preconditions of human knowledge than has traditionally been possible. The dissertation identifies, perhaps for the first time, a _projective_ variety of self-referential inconsistency, and proposes an innovative, self-reflexive approach to transcendental argument in a logical and phenomenological context. The strength of the approach lies, it is claimed, in the fact that a rejection of the approach is possible only on pain of self-referential inconsistency. The argument is developed in the following stages: A general introduction identifies the central theme of the work, defines the scope of applicability of the results reached, and sketches the direction of the studies that follow. The preliminary discussion culminates in a recognition of the need for a _critique of impure reason_. The body of the work is divided into two parts: Section I seeks to develop a methodology, on a purely formal basis, which is, on the one hand, capable of being used to study the transcendental foundations of the special sciences, including its own proper transcendental foundation. On the other hand, the methodology proposed is intended as a diagnostic and therapeutic tool for dealing with _projective_ uses of concepts. The approach initiates an analysis of concepts from a perspective which views _knowledge as coordination_. Section I describes formal structures that possess the status of preconditions in such a coordinative account of knowledge. Special attention is given to the preconditions of _identifying reference_ to logical particulars. The first section attempts, then, to provide a self-referential, transcendental methodology which is essentially revisionary in that it is motivated by a concern for conceptual error-elimination. Phenomenology, considered in its unique capacity as a self-referential, transcendental discipline, is of special relevance to the study. Section II accordingly examines a group of concepts which come into question in connection with the central theme of _phenomenological constitution_. The "_de-projective methodology_" developed in Section I is applied to these concepts that have a foundational importance in transcendental phenomenology. A translation is, in effect, proposed from the language of consciousness to a language in which preconditions of referring are investigated. The result achieved is the elimination of self-defeating, projective concepts from a rigorous, phenomenological study of the constitutive foundations of science. The dissertation was presented in a two volume, double-language format for the convenience of French and English researchers. Each volume contains an analytical index. (shrink)

[[[ (Here only the chapters 3 – 8, see *** ) First I argue that the prohibition of linguistic self-reference as a solution to the antinomy problem contains a pragmatic contradiction and is thus not only too restrictive, but just inconsistent (chap.1). Furthermore, the possibilities of non-restrictive strategies for antinomy avoidance are discussed, whereby the explicit inclusion of the – pragmatically presuposed – consistency requirement proves to be the optimal strategy (chap.2). ]]] The central question here is that about (...) the actual reason for antinomic structures. It turns out to be a form of negative self-conditioning (chap.3). This makes it necessary to clarify the status of negative concepts (chap.4). The generalization of these considerations (chap.5) leads to the actual analysis of the antinomic basic structure (chap.6): Decisively for the pragmatics of the concept is that it positively owns a meaning, so that positivity is always constituted by the concept qua concept. Thus a negative concept is characterized by a fundamental ambivalence: From a semantic point of view it has negative character, in its pragmatic status as a concept, however, it has positive character. If the meaning is especially that of a negative self-reference, the ambivalence leads to the antinomic constellation of a negative self-condition – that is the crux of the matter here! The concept thus possesses the property defined by it exactly when it does not possess it and vice versa. A closer analysis shows that the function of reflective structures for the occurrence of antinomies has to be judged much more differentiated than previous opinions suggest. Not only are four forms of reflectivity to be distinguished in this context – ontic, semantic, pragmatic reflectivity, and especially the form of negative self-condition; but it is also apparent that these are intertwined with each other in a way that is difficult to be understood. The astonishing variety of relationships associated with this makes the irritation that has always emanated from the antinomy problem appear more comprehensible. In the developed pragmatic perspective furtheron parallels to the structure of self-consciousness become visible (chap.7). I conclude with considerations about the significance of the antinomic structure for the problem of dialectics, especially for the synthesis formation of mutually exclusive terms (chap.8). (shrink)

This thesis starts with three challenges to the structuralist accounts of applied mathematics. Structuralism views applied mathematics as a matter of building mapping functions between mathematical and target-ended structures. The first challenge concerns how it is possible for a non-mathematical target to be represented mathematically when the mapping functions per se are mathematical objects. The second challenge arises out of inconsistent early calculus, which suggests that mathematical representation does not require rigorous mathematical structures. The third challenge comes from renormalisation (...) group (RG) explanations of universality. It is argued that the structural mapping between the world and a highly abstract minimal model adds little value to our understanding of how RG obtains its explanatory force. I will address the first and second challenges from the similarity perspective. The similarity account captures representations as similarity relations, providing a more flexible and broader conception of representation than structuralism. It is the specification of the respect and degree of similarity that forges mathematics into a context of representation and directs it to represent a specific system in reality. Structuralism is treatable as a tool for explicating similarity rela-tions set-theoretically. The similarity account, combined with other approaches (e.g., Nguyen and Frigg’s extensional abstraction account and van Fraassen’s pragmatic equivalence), can dissolve the first challenge. Additionally, I will make a structuralist response to the second challenge, and suggestions regarding the role of infinitesimals from the similarity perspective. In light of the similarity account, I will propose the “hotchpotch picture” as a method-ological reflection of our study of representation and explanation. Its central insight is to dissect a representation or an explanation into several aspects and use different theories (that are usually thought of competing) to appropriate each of them. Based on the hotchpotch picture, RG explanations can be dissected to the “indexing” and “inferential” conceptions of explanation, which are captured or characterised by structural mappings. Therefore, structuralism accommodates RG explanations, and the third challenge is resolved. (shrink)