Medical diagnosis has been traditionally recognized as a privileged field of application for so called probabilistic induction. Consequently, the Bayesian theorem, which mathematically formalizes this form of inference, has been seen as the most adequate tool for quantifying the uncertainty surrounding the diagnosis by providing probabilities of different diagnostic hypotheses, given symptomatic or laboratory data. On the other side, it has also been remarked that differential diagnosis rather works by exclusion, e.g. by modus tollens, i.e. deductively. By drawing (...) on a case history, this paper aims at clarifying some points on the issue. Namely: 1) Medical diagnosis does not represent, strictly speaking, a form of induction, but a type, of what in Peircean terms should be called ‘abduction’ (identifying a case as the token of a specific type); 2) in performing the single diagnostic steps, however, different inferential methods are used for both inductive and deductive nature: modus tollens, hypothetical-deductive method, abduction; 3) Bayes’ theorem is a probabilized form of abduction which uses mathematics in order to justify the degree of confidence which can be entertained on a hypothesis given the available evidence; 4) although theoretically irreconcilable, in practice, both the hypothetical- deductive method and the Bayesian one, are used in the same diagnosis with no serious compromise for its correctness; 5) Medical diagnosis, especially differential diagnosis, also uses a kind of “probabilistic modus tollens”, in that, signs (symptoms or laboratory data) are taken as strong evidence for a given hypothesis not to be true: the focus is not on hypothesis confirmation, but instead on its refutation [Pr (¬ H/E1, E2, …, En)]. Especially at the beginning of a complicated case, odds are between the hypothesis that is potentially being excluded and a vague “other”. This procedure has the advantage of providing a clue of what evidence to look for and to eventually reduce the set of candidate hypotheses if conclusive negative evidence is found. 6) Bayes’ theorem in the hypothesis-confirmation form can more faithfully, although idealistically, represent the medical diagnosis when the diagnostic itinerary has come to a reduced set of plausible hypotheses after a process of progressive elimination of candidate hypotheses; 7) Bayes’ theorem is however indispensable in the case of litigation in order to assess doctor’s responsibility for medical error by taking into account the weight of the evidence at his disposal. (shrink)

Suppose that some contradictions are true – for example, that as I walk through the door, I’m inside and I’m not inside. Then we argue 'if I'm walking through the door, I'm inside; I'm not inside; therefore, I'm not walking through the door' is an invalid instance of modus tollens.

Broadly speaking, the contemporary scientific realist is concerned to justify belief in what we might call theoretical truth, which includes truth based on ampliative inference and truth about unobservables. Many, if not most, contemporary realists say scientific realism should be treated as ‘an overarching scientific hypothesis’ (Putnam 1978, p. 18). In its most basic form, the realist hypothesis states that theories enjoying general predictive success are true. This hypothesis becomes a hypothesis to be tested. To justify our belief in the (...) realist hypothesis, realists commonly put forward an argument known as the ‘no-miracles argument’. With respect to the basic hypothesis this argument can be stated as follows: it would be a miracle were our theories as successful as they are, were they not true; the only possible explanation for the general predictive success of our scientific theories is that they are true. (shrink)

A consistent finding in research on conditional reasoning is that individuals are more likely to endorse the valid modus ponens (MP) inference than the equally valid modus tollens (MT) inference. This pattern holds for both abstract task and probabilistic task. The existing explanation for this phenomenon within a Bayesian framework (e.g., Oaksford & Chater, 2008) accounts for this asymmetry by assuming separate probability distributions for both MP and MT. We propose a novel explanation within a computational-level Bayesian (...) account of reasoning according to which “argumentation is learning”. We show that the asymmetry must appear for certain prior probability distributions, under the assumption that the conditional inference provides the agent with new information that is integrated into the existing knowledge by minimizing the Kullback-Leibler divergence between the posterior and prior probability distribution. We also show under which conditions we would expect the opposite pattern, an MT-MP asymmetry. (shrink)

Epistemic modals in consequent place of indicative conditionals give rise to apparent counterexamples to Modus Ponens and Modus Tollens. Familiar assumptions of fa- miliar truth conditional theories of modality facilitate a prima facie explanation—viz., that the target cases harbor epistemic modal equivocations. However, these explana- tions go too far. For they foster other predictions of equivocation in places where in fact there are no equivocations. It is argued here that the key to the solution is to drop (...) the assumption that modal claims are inherently relational (i.e., that they ex- press a logical relation between a prejacent and a premise-set) in favor of a view that treats them as inherently quantificational. In particular it is suggested that modals are mass noun descriptions of information. We demonstrate how this approach unlocks the equivocation problem. (shrink)

ABSTRACT: This paper traces the earliest development of the most basic principle of deduction, i.e. modus ponens (or Law of Detachment). ‘Aristotelian logic’, as it was taught from late antiquity until the 20th century, commonly included a short presentation of the argument forms modus (ponendo) ponens, modus (tollendo) tollens, modus ponendo tollens, and modus tollendo ponens. In late antiquity, arguments of these forms were generally classified as ‘hypothetical syllogisms’. However, Aristotle did not discuss (...) such arguments, nor did he call any arguments ‘hypothetical syllogisms’. The Stoic indemonstrables resemble the modus ponens/tollens arguments. But the Stoics never called them ‘hypothetical syllogisms’; nor did they describe them as ponendo ponens, etc. The tradition of the four argument forms and the classification of the arguments as hypothetical syllogisms hence need some explaining. In this paper, I offer some explanations by tracing the development of certain elements of Aristotle’s logic via the early Peripatetics to the logic of later antiquity. I consider the questions: How did the four argument forms arise? Why were there four of them? Why were arguments of these forms called ‘hypothetical syllogisms’? On what grounds were they considered valid? I argue that such arguments were neither part of Aristotle’s dialectic, nor simply the result of an adoption of elements of Stoic logic, but the outcome of a long, gradual development that begins with Aristotle’s logic as preserved in his Topics and Prior Analytics; and that, as a result, we have a Peripatetic logic of hypothetical inferences which is a far cry both from Stoic logic and from classical propositional logic, but which sports a number of interesting characteristics, some of which bear a cunning resemblance to some 20th century theories. (shrink)

Recently, there has been a shift away from traditional truth-conditional accounts of meaning towards non-truth-conditional ones, e.g., expressivism, relativism and certain forms of dynamic semantics. Fueling this trend is some puzzling behavior of modal discourse. One particularly surprising manifestation of such behavior is the alleged failure of some of the most entrenched classical rules of inference; viz., modus ponens and modus tollens. These revisionary, non-truth-conditional accounts tout these failures, and the alleged tension between the behavior of modal (...) vocabulary and classical logic, as data in support of their departure from tradition, since the revisionary semantics invalidate some of these patterns. I, instead, offer a semantics for modality with the resources to accommodate the puzzling data while preserving classical logic, thus affirming the tradition that modals express ordinary truth-conditional content. My account shows that the real lesson of the apparent counterexamples is not the one the critics draw, but rather one they missed: namely, that there are linguistic mechanisms, reflected in the logical form, that affect the interpretation of modal language in a context in a systematic and precise way, which have to be captured by any adequate semantic account of the interaction between discourse context and modal vocabulary. The semantic theory I develop specifies these mechanisms and captures precisely how they affect the interpretation of modals in a context, and do so in a way that both explains the appearance of the putative counterexamples and preserves classical logic. (shrink)

This paper assesses the prospects of a pragmatist theory of content. I begin by criticising the theory presented in D.H. Mellor’s essay ‘Successful Semantics’. I then identify problems and lacunae in the pragmatist theory of meaning sketched in Chapter 13 of Dummett’s The Logical Basis of Metaphysics. The prospects are brighter, I contend, for a tempered pragmatism, in which the theory of content is permitted to draw upon irreducible notions of truth and falsity. I sketch the shape of such a (...) theory and illustrate the role of its pragmatist elements by showing how they point towards a promising account of the truth conditions of indicative conditionals. A feature of the account is that it validates Modus Ponens whilst invalidating Modus Tollens. (shrink)

Some claim that Composition as Identity (CI) entails Mereological Essentialism (ME). If this is right, then we have an effective modus tollens against CI: ME is clearly false, so CI is, too. Rather than deny the conditional, I will argue that a CI theorist should embrace ME. I endorse a theory of modal parts such that ordinary objects are spatially, temporally, and modally extended. Accepting modal parts is certainly beneficial to CI theorists, but it also provides elegant solutions (...) to the traditional puzzles of constitution, making it a competitive move in its own right. (shrink)

We address an argument by Floridi (Synthese 168(1):151–178, 2009; 2011a), to the effect that digital and analogue are not features of reality, only of modes of presentation of reality. One can therefore have an informational ontology, like Floridi’s Informational Structural Realism, without commitment to a supposedly digital or analogue world. After introducing the topic in Sect. 1, in Sect. 2 we explain what the proposition expressed by the title of our paper means. In Sect. 3, we describe Floridi’s argument. In (...) the following three sections, we raise three difficulties for it, (i) an objection from intuitions: Floridi’s view is not supported by the intuitions embedded in the scientific views he exploits (Sect. 4); (ii) an objection from mereology: the view is incompatible with the world’s having parts (Sect. 5); (iii) an objection from counting: the view entails that the question of how many things there are doesn’t make sense (Sect. 6). In Sect. 7, we outline two possible ways out for Floridi’s position. Such ways out involve tampering with the logical properties of identity, and this may be bothersome enough. Thus, Floridi’s modus ponens will be our (and most ontologists’) modus tollens. (shrink)

This paper offers a conditional defence of a minimalist theory of appropriation. The conclusion of its main argument is that, if people do enjoy a natural right to appropriate unappropriated resources, then that right is best understood as a derivative right that stems from a more fundamental natural right to self-preservation. If this conclusion is correct, then insofar as people have a natural right to appropriation, it is much more limited than it is usually assumed, as the minimalist theory places (...) very stringent restrictions on both the amount of unappropriated resources each person has a right to appropriate and the use they can make of those appropriated resources. The conclusion of my argument can be either used as a premise in a modus tollens argument to be used against natural-right theories of property rights or as a premise in a modus ponens argument in favour of a broadly left-libertarian theory. (shrink)

I argue against group agent realism, or the view that groups have irreducible mental states. If group agents have irreducible mental states, as realists assume, then the best group agent realist explanation of corporate agents features only basic mental states with at most one motivational function each. But the best group agent realist explanation of corporate agents does not feature only basic mental states with at most one motivational function each. So corporate agents lack irreducible mental states. How so? I (...) defend the conditional with an argument from disagreement. On cognitivist approaches to desire, desires function to both motivate and represent the world. Yet such desires are subject to a significant amount of disagreement. Reflection on the folk-psychological properties of desire and belief suggest that this disagreement is better explained by a non-cognitivist approach to desire where they do not have both functions. I then defend the claim that realists are committed to at least some cognitivist motivational states. Using the example of fire brigades, I argue that the best realist explanation of group agents involves mental states with both representational and motivational functions. By modus tollens, corporations then lack irreducible mental states, period. (shrink)

It is received wisdom that the skeptic has a devastating line of argument in the following. You probably think, he says, that you know that you have hands. But if you knew that you had hands, then you would also know that you were not a brain in a vat, a brain suspended in fluid with electrodes feeding you perfectly coordinated impressions that are generated by a supercomputer, of a world that looks and moves just like this one. You would (...) know you weren’t in this state if you knew you had hands, since having hands implies you are no brain in a vat. You obviously don’t know you’re not a brain in a vat, though—you have no evidence that would distinguish that state from the normal one you think you’re in. Therefore, by modus tollens, you don’t know you have hands. At least, the skeptic has a devastating argument, it is thought, if we grant him closure of knowledge under known implication, which many of us are inclined to do: roughly, if you know p, and you know that p implies q, then you know q. (shrink)

Abduction* is the genus with deduction and induction as species. Modus tollens is backward reasoning as an unknown proposition is inferred from a known proposition. Reductio ad absurdum is abductive because the conclusion is inferred by deriving a contradiction from an assumption. Inductive reasoning from effect to cause is also backward reasoning. But abduction* consists of forward reasoning as well. The generic structure of abductive* argumentation is universal among all cultures, occupations and disciplines.

Lyons (2016, 2017, 2018) formulates Laudan’s (1981) historical objection to scientific realism as a modus tollens. I present a better formulation of Laudan’s objection, and then argue that Lyons’s formulation is supererogatory. Lyons rejects scientific realism (Putnam, 1975) on the grounds that some successful past theories were (completely) false. I reply that scientific realism is not the categorical hypothesis that all successful scientific theories are (approximately) true, but rather the statistical hypothesis that most successful scientific theories are (approximately) (...) true. Lyons rejects selectivism (Kitcher, 1993; Psillos, 1999) on the grounds that some working assumptions were (completely) false in the history of science. I reply that selectivists would say not that all working assumptions are (approximately) true, but rather that most working assumptions are (approximately) true. (shrink)

A proof of Fermat’s last theorem is demonstrated. It is very brief, simple, elementary, and absolutely arithmetical. The necessary premises for the proof are only: the three definitive properties of the relation of equality (identity, symmetry, and transitivity), modus tollens, axiom of induction, the proof of Fermat’s last theorem in the case of n = 3 as well as the premises necessary for the formulation of the theorem itself. It involves a modification of Fermat’s approach of infinite descent. (...) The infinite descent is linked to induction starting from n = 3 by modus tollens. An inductive series of modus tollens is constructed. The proof of the series by induction is equivalent to Fermat’s last theorem. As far as Fermat had been proved the theorem for n = 4, one can suggest that the proof for n ≥ 4 was accessible to him. An idea for an elementary arithmetical proof of Fermat’s last theorem (FLT) by induction is suggested. It would be accessible to Fermat unlike Wiles’s proof (1995). (shrink)

How to say no less, no more about conditional than what is needed? From a logical analysis of necessary and sufficient conditions (Section 1), we argue that a stronger account of conditional can be obtained in two steps: firstly, by reminding its historical roots inside modal logic and set-theory (Section 2); secondly, by revising the meaning of logical values, thereby getting rid of the paradoxes of material implication whilst showing the bivalent roots of conditional as a speech-act based on affirmations (...) and rejections (Section 3). Finally, the two main inference rules for conditional, viz. Modus Ponens and Modus Tollens, are reassessed through a broader definition of logical consequence that encompasses both a normal relation of truth propagation and a weaker relation of falsity non-propagation from premises to conclusion (Section 3). (shrink)

Resumo O meu objetivo neste artigo é examinar criticamente o argumento de Kripke contra a teoria da identidade tipo-tipo. Assumindo a tese da necessidade da identidade, bem como a tese da designação rígida, Kripke sustenta que se a dor é idêntica à estimulação das fibras C, então a dor é necessariamente idêntica à estimulação das fibras C. No entanto, precisamente porque a proposição expressa pela frase “a dor não é idêntica à estimulação das fibras C” é uma possibilidade metafísica, Kripke (...) conclui, por modus tollens, que não há identidade entre dor e estimulação das fibras C. Por isso, a teoria da identidade tipo-tipo não é uma solução bemsucedida para o problema da mente-corpo. Este artigo tem duas partes. Na primeira parte, que é expositiva, apresento o argumento de Kripke contra a teoria da identidade tipo-tipo. Subsequentemente, ponho em causa o argumento de Kripke, argumentando que não é procedente, pois a nossa situação epistémica atual não nos permite determinar se é metafisicamente possível a dor não ser idêntica à estimulação das fibras C. Assim, Kripke não refuta a teoria da identidade tipo-tipo. Palavras-chave : designação rígida, filosofia da mente, identidade tipo-tipo, Kripke, necessidade da identidadeMy aim in this paper is to critically assess Kripke’s argument against the type-type identity theory. Assuming the thesis of the necessity of identity, as well as the thesis of rigid designation, Kripke holds that if pain is identical with C-fibre firing, then pain is necessarily identical with C-fibre firing. However, precisely because the proposition expressed by the sentence “pain is not identical with C-fibre firing” is a metaphysical possibility, Kripke concludes, by modus tollens, that pain and C-fibre firing are not identical. Therefore, the type-type identity theory is not a successful solution to the mind-body problem. So this paper has two parts. In the first part, which is expositive, I present Kripke’s argument against the type-type identity theory. After that, I will dispute Kripke’s argument, arguing that it is not sound, for our current epistemic situation does not allow us to determine whether it is a metaphysical possibility that pain is not identical with C-fibre firing. Thus, Kripke does not refute the type-type identity theory. Keywords : Kripke, necessity of identity, philosophy of mind, rigid designation, type-type identity. (shrink)

This paper is a critique of coercive theories of meaning, that is, theories (or criteria) of meaning designed to do down ones opponents by representing their views as meaningless or unintelligible. Many philosophers from Hobbes through Berkeley and Hume to the pragmatists, the logical positivists and (above all) Wittgenstein have devised such theories and criteria in order to discredit their opponents. I argue 1) that such theories and criteria are morally obnoxious, a) because they smack of the totalitarian linguistic tactics (...) of the Party in Orwell’s 1984 and b) because they dehumanize the opposition by portraying them as mere spouters of gibberish; 2) that they are profoundly illiberal since if true, they would undermine Mill’s arguments for free speech; 3) that such theories are prone to self-contradiction, pragmatic and otherwise; 4) that they often turn against their creators including what they were meant to exclude and excluding what they were meant to include; 5) that such theories are susceptible to a modus tollens pioneered by Richard Price in his Review Concerning the Principle Questions of Morals(1758); and 6) that such theories are prima facie false since they fail to ‘predict’ the data that is it their business to explain (or, in the case of criteria, fail to capture the concept that they allegedly represent). The butcher’s bill is quite considerable: some of Hobbes, a fair bit of Locke, half of Berkeley, large chunks of Hume, Russell's Theory of Types, verificationism in its positivist and Dummettian variants, much of pragmatism and most of Wittgenstein - all these have to be sacrificed if we are to save our souls as philosophic liberals. (shrink)

This article endeavors to identify the strongest versions of the two primary arguments against epistemic scientific realism: the historical argument—generally dubbed “the pessimistic meta-induction”—and the argument from underdetermination. It is shown that, contrary to the literature, both can be understood as historically informed but logically validmodus tollensarguments. After specifying the question relevant to underdetermination and showing why empirical equivalence is unnecessary, two types of competitors to contemporary scientific theories are identified, both of which are informed by science itself. With the (...) content and structure of the two nonrealist arguments clarified, novel relations between them are uncovered, revealing the severity of their collective threat against epistemic realism and its “no-miracles” argument. The final section proposes, however, that the realist’s axiological tenet “science seeks truth” is not blocked. An attempt is made to indicate the promise for a nonepistemic, purely axiological scientific realism—here dubbed “Socratic scientific realism.”. (shrink)

The scientific realism debate has now reached an entirely new level of sophistication. Faced with increasingly focused challenges, epistemic scientific realists have appropriately revised their basic meta-hypothesis that successful scientific theories are approximately true: they have emphasized criteria that render realism far more selective and, so, plausible. As a framework for discussion, I use what I take to be the most influential current variant of selective epistemic realism, deployment realism. Toward the identification of new case studies that challenge this form (...) of realism, I break away from the standard list and look to the history of celestial mechanics, with an emphasis on twentieth century advances. I then articulate two purely deductive arguments that, I argue, properly capture the historical threat to realism. I contend that both the content and form of these novel challenges seriously threaten selective epistemic realism. I conclude on a positive note, however, arguing for selective realism at a higher level. Even in the face of threats to its epistemic tenet, scientific realism need not be rejected outright: concern with belief can be bracketed while nonetheless advocating core realist tenets. I show that, in contrast with epistemic deployment realism, a purely axiological scientific realism can account for key scientific practices made salient in my twentieth century case studies. And embracing the realists favored account of inference, inference to the best explanation, while pointing to a set of the most promising alternative selective realist meta-hypothesis, I show how testing the latter can be immensely valuable to our understanding of science. (shrink)

Basic Argument forms Modus Ponens , Modus Tollens , Hypothetical Syllogism and Dilemma contains ‘If –then’ conditions. Conclusions from the Arguments containing ‘If –then’ conditions can be deduced very easily without any significant memorization by applying Raval’s method. Method: In Raval’s method If P then Q is written as P (2$) – Q (1$) and viewed numerically, in currency form i.e. P is viewed as 2$ and Q is viewed as 1$ and implications from this notations are (...) valid conclusions. If one has 2$ then he definitely have 1$. If one do not have 2$, he may not have 1$. If one is having 1$, he may not have 2$. If one do not have 1$, he definitely doesn’t have 2$. (shrink)

In this paper we propose to present from a new perspective some loci comunes of traditional logic. More exactly, we intend to show that some hypothetico-disjunctive inferences (i.e. the complex constructive dilemma, the complex destructive dilemma, the simple constructive dilemma, the simple destructive dilemma) and two hypothetico-categorical inferences (namely modus ponendo-ponens and modus tollendo-tollens) particularize two more abstract inferential structures: the constructive n-lemma and the destructive nlemma.

Chancy modus ponens is the following inference scheme: ‘probably φ’, ‘if φ, then ψ’, therefore, ‘probably ψ’. I argue that Chancy modus ponens is invalid in general. I further argue that the invalidity of Chancy modus ponens sheds new light on the alleged counterexample to modus ponens presented by McGee. I close by observing that, although Chancy modus ponens is invalid in general, we can recover a restricted sense in which this scheme of inference is (...) valid. (shrink)

If modus ponens is valid, then you should take up smoking.

Despite the importance of the requirement that all parties subject to a modus vivendi accept it, the philosophical basis of the all-subjected principle has been largely neglected in the realist literature on modus vivendi arrangements as responses to disagreements on issues of common concern. In this article, I argue that the inclusion of all-subjected parties should be understood as instrumental to justifying the presupposition that enough parties will have the motivation to comply with an arrangement that they grudgingly (...) accept as a modus vivendi. I also argue that without accepting the democratic commitments implicit in the acceptance of the standard reading of the all-subjected principle, realist modus vivendi theorists should demonstrate that all those parties who are subjected to a modus vivendi arrangement have the capacity to voice their objection and to be heard for such a claim. (shrink)

This essay examines the promise of the notion of modus vivendi for realist political theory. I interpret recent theories of modus vivendi as affirming the priority of peace over justice, and explore several ways of making sense of this idea. I proceed to identify two key problems for modus vivendi theory, so conceived. Normatively speaking, it remains unclear how this approach can sustain a realist critique of Rawlsian theorizing about justice while avoiding a Hobbesian endorsement of absolutism. (...) And conceptually, the theory remains wedded to a key feature of social contract theory: political order is conceived as based on agreement. This construes the horizontal tensions among individual or group agents in society as prior to the vertical, authoritative relations between authorities and their subjects. Political authority thereby appears from the start as a solution to societal conflict, rather than a problem in itself. I argue that this way of framing the issue abstracts from political experience. Instead I attempt to rethink the notion of modus vivendi from within the lived experience of political conflict, as oriented not primarily toward peace, but political survival. With this shift of perspective, the idea of modus vivendi shows us, pace Bernard Williams, that the “first political question” is not how to achieve order and stability, but rather: what can I live with? (shrink)

McGee argued that modus ponens was invalid for the natural language conditional ‘If…then…’. Many subsequent responses have argued that, while McGee’s examples show that modus ponens fails to preserve truth, they do not show that modus ponens fails to preserve rational full acceptance, and thus modus ponens may still be valid in the latter informational sense. I show that when we turn our attention from indicative conditionals to subjunctive conditionals, we find that modus ponens does (...) not preserve either truth or rational full acceptance, and thus is not valid in either sense. In concluding I briefly consider how we can account for these facts. (shrink)

ABSTRACT ‘Modus Darwin’ is the name given by Elliott Sober to a form of argument that he attributes to Darwin in the Origin of Species, and to subsequent evolutionary biologists who have reasoned in the same way. In short, the argument form goes: similarity, ergo common ancestry. In this article, I review and critique Sober’s analysis of Darwin’s reasoning. I argue that modus Darwin has serious limitations that make the argument form unsuitable for supporting Darwin’s conclusions, and that (...) Darwin did not reason in this way. (shrink)

This chapter assesses John Gray’s modus vivendi-based justification for liberalism. I argue that his approach is preferable to the more orthodox deontological or teleological justificatory strategies, at least because of the way it can deal with the problem of diversity. But then I show how that is not good news for liberalism, for grounding liberal political authority in a modus vivendi undermines liberalism’s aspiration to occupy a privileged normative position vis-à-vis other kinds of regimes. So modus vivendi (...) can save liberalism from moralism, but at cost many liberals will not be prepared to pay. (shrink)

So far, the value dimension underlying affectivity disorders has remained out of focus in phenomenological psychopathology. As early as at the beginning of the 20th century, however, German phenomenologist Max Scheler examined in depth the relationship between affectivity and value dimension through the concept of valueception (Wertnehmung). In this sense, a recent noteworthy contribution has been provided by John Cutting, who has drawn attention to the importance of Scheler’s analyses for psychiatry. In this work I take into consideration only two (...) aspects of Cutting’s proposal: 1) the relationship between the impairments of valueception and the perception of certain value classes; and 2) the interpretation of Scheler’s phenomenological reduction and its juxtaposition with the modus vivendi of schizophrenia. According to Cutting, in the modus vivendi of schizophrenia the valueception impairment entails putting vital values in brackets and focusing on personal values, with a process that recalls Scheler’s phenomenological reduction. Regarding the first aspect, I share Cutting’s starting point, but then shift the focus on how important the valueception is for the intersubjective dimension. In particular, I maintain that rather than compromising the perception of vital values, valueception impairments in the modus vivendi of schizophrenia interfere with the intersubjective dimension and are interwoven with a process of disembodiment. My thesis is that the modus vivendi of schizophrenia involves a disturbance of the intersubjective dimension that arises from the level of valueception and that determines the person’s self-referential closure. With regard to the second point, by analyzing Scheler’s phenomenological reduction, I sustain that its main objective is to increase both the interaction with otherness and the openness to the world (Weltoffenheit). As a consequence, the modus vivendi of schizophrenia, in my opinion, is not comparable, as Cutting claims, with Scheler’s phenomenological reduction, but goes in a different direction. (shrink)

"Theory of modus concipiendi in Richard Burthogge’s Epistemology" The paper focuses on the epistemology of Richard Burthogge, the lesser known seventeenth-century English philosopher and author, among other works, of the Organum Vetus & Novum (1678) and An Essay upon Reason and the Nature of Spirits (1694). Although his ideas had a minimal impact on the philosophy of his time, and have hitherto not been the subject of a detailed study, Burthogge’s writings contain a highly original concept of idealistic constructivism. (...) The most important claim of this approach is that the external objects are never presented to the mind directly, as they are in themselves, but always under the modus concipiendi, a particular form of conceiving or conceptualising, performed by the human cognitive powers (both intellectual and sensuous) in the manner and with the means determined by their structural and functional properties. Thus, Burthogge clearly anticipates Kant in claiming that the external world is unknowable in itself, being accessible to the human mind only through the phenomena that the mind itself co-produces. The paper provides an outline of the theory of modus concipiendi, including its historical context and idealistic consequences, preceded by the brief presentation of Burthogge’s epistemology. (shrink)

In a recent pair of publications, Richard Bradley has offered two novel no-go theorems involving the principle of Preservation for conditionals, which guarantees that one’s prior conditional beliefs will exhibit a certain degree of inertia in the face of a change in one’s non-conditional beliefs. We first note that Bradley’s original discussions of these results—in which he finds motivation for rejecting Preservation, first in a principle of Commutativity, then in a doxastic analogue of the rule of modus ponens —are (...) problematic in a significant number of respects. We then turn to a recent U-turn on his part, in which he winds up rescinding his commitment to modus ponens, on the grounds of a tension with the rule of Import-Export for conditionals. Here we offer an important positive contribution to the literature, settling the following crucial question that Bradley leaves unanswered: assuming that one gives up on full-blown modus ponens on the grounds of its incompatibility with Import-Export, what weakened version of the principle should one be settling for instead? Our discussion of the issue turns out to unearth an interesting connection between epistemic undermining and the apparent failures of modus ponens in McGee’s famous counterexamples. (shrink)

There are two primary arguments against scientific realism, one pertaining to underdetermination, the other to the history of science. While these arguments are usually treated as altogether distinct, P. Kyle Stanford's ‘problem of unconceived alternatives’ constitutes one kind of synthesis: I propose that Stanford's argument is best understood as a broad modus ponens underdetermination argument, into which he has inserted a unique variant of the historical pessimistic induction. After articulating three criticisms against Stanford's argument and the evidence that he (...) offers, I contend that, as it stands, Stanford's argument poses no threat to contemporary scientific realism. Nonetheless, upon identifying two useful insights present in Stanford's general strategy, I offer an alternative variant of the modus ponens underdetermination argument, one that, although historically informed by science, requires no inductive premises. I contend that this non-inductive but historically informed variant of the modus ponens clarifies and considerably strengthens the case against scientific realism. (shrink)

To understand fully the contemporary imposition of capitalist class power, we need to consider not only social relations and neoliberal economic doctrines, but also academic and vernacular cultural contexts, including social critique, within which neoliberalism has been ideologically tailored and practically applied. Among the vernacular cultural contexts, religion – related to deepest human identifications, feelings and ideas about the nature of reality – certainly represents such an unavoidable political resource, inseparable from secular ideologies of a given social world. Taking this (...) into account, we will try to show how neoliberalism was built in a specific context, developing governmental approaches relative to elements of progressive critique, and has eventually succeeded to legitimize new mechanisms of capitalist accumulation, linking them, among other things, to specific religious “externalities”. We will suggest that the satisfactory explanation of profound changes in the contemporary religious life, referred to as the emergence of “New Age spirituality”, is only possible if we understand them as an integral part of the processes of neoliberalization. This does not mean that we are trying to reduce a complex multitude of contemporary spiritual practices to a simple one-dimensional reflex of neoliberalization, but rather to suggest that only such an approach can complement the omissions and correct the misconceptions of various inquiries that analyze New Age spirituality using the frameworks of postmodern culture and/or consumer society. By doing this, we wil discuss not only countercultural spirituality, but also neoliberal social epistemology and different critical aproaches to understanding it. (shrink)

In virtue of what are we justified in employing the rule of inference Modus Ponens? One tempting approach to answering this question is to claim that we are justified in employing Modus Ponens purely in virtue of facts concerning meaning or concept-possession. In this paper, we argue that such meaning-based accounts cannot be accepted as the fundamental account of our justification.

Most ordinary folks think that there are ordinary objects such as trees and frogs. They do not think there are extraordinary objects such as the mereological sum of trees and frogs, as the permissivist does. Nor do they deny the existence of ordinary composite objects such as tables, as the eliminativist does. In his recent book, Objects: Nothing Out of the Ordinary, Korman positions himself alongside ordinary folk. He deftly defends the common sense view of ordinary objects, and argues against (...) the permissivist and eliminativist. One of the ways he does this is by launching what he calls ‘arguments from counterexample’. In this paper, I focus on the dialectical effectiveness of such arguments generally. I discuss whether and how we might sometimes be justified in using arguments from counterexample and commonsense in philosophical debate, even if they appear to be (or are) question-begging. I conclude that, given some of Korman’s other commitments, there is little reason for his opponents to take his arguments from counterexample seriously. (shrink)

In this article Russell’s paradox and Cantor’s paradox resolved successfully using intuitionistic logic with restricted modus ponens rule.

In this book set theory INC# based on intuitionistic logic with restricted modus ponens rule is proposed. It proved that intuitionistic logic with restricted modus ponens rule can to safe Cantor naive set theory from a triviality. Similar results for paraconsistent set theories were obtained in author papers [13]-[16].

The incompleteness of set theory ZF C leads one to look for natural nonconservative extensions of ZF C in which one can prove statements independent of ZF C which appear to be “true”. One approach has been to add large cardinal axioms.Or, one can investigate second-order expansions like Kelley-Morse class theory, KM or Tarski-Grothendieck set theory T G or It is a nonconservative extension of ZF C and is obtained from other axiomatic set theories by the inclusion of Tarski’s axiom (...) which implies the existence of inaccessible cardinals. See also related set theory with a filter quantifier ZF (aa). In this paper we look at a set theory NC# ∞# , based on bivalent gyper infinitary logic with restricted Modus Ponens Rule In this paper we deal with set theory NC# ∞# based on bivalent gyper infinitary logic with Restricted Modus Ponens Rule. Nonconservative extensions of the canonical internal set theories IST and HST are proposed. (shrink)

In this book set theory INC# based on intuitionistic logic with restricted modus ponens rule is proposed. It proved that intuitionistic logic with restricted modus ponens rule can to safe Cantor naive set theory from a triviality.

In this paper intuitionistic set theory INC# in infinitary set theoretical language is considered. External induction principle in nonstandard intuitionistic arithmetic were derived. Non trivial application in number theory is considered.

Main results are: (i) number e^{e} is transcendental; (ii) the both numbers e+π and e-π are irrational.

Vann McGee has presented a putative counterexample to modus ponens. I show that (a slightly modified version of) McGee’s election scenario has the same structure as a famous lottery scenario by Kyburg. More specifically, McGee’s election story can be taken to show that, if the Lockean Thesis holds, rational belief is not closed under classical logic, including classical-logic modus ponens. This conclusion defies the existing accounts of McGee’s puzzle.

The idea that knowledge can be extended by inference from what is known seems highly plausible. Yet, as shown by familiar preface paradox and lottery-type cases, the possibility of aggregating uncertainty casts doubt on its tenability. We show that these considerations go much further than previously recognized and significantly restrict the kinds of closure ordinary theories of knowledge can endorse. Meeting the challenge of uncertainty aggregation requires either the restriction of knowledge-extending inferences to single premises, or eliminating epistemic uncertainty in (...) known premises. The first strategy, while effective, retains little of the original idea—conclusions even of modus ponens inferences from known premises are not always known. We then look at the second strategy, inspecting the most elaborate and promising attempt to secure the epistemic role of basic inferences, namely Timothy Williamson’s safety theory of knowledge. We argue that while it indeed has the merit of allowing basic inferences such as modus ponens to extend knowledge, Williamson’s theory faces formidable difficulties. These difficulties, moreover, arise from the very feature responsible for its virtue- the infallibilism of knowledge. (shrink)

Expressing a widely-held view, David Hitchcock claims that "an enthymematic argument ... assumes at least the truth of the argument's associated conditional ... whose antecedent is the conjunction of the argument's explicit premises and whose consequent is the argument's conclusion." But even definitionally, this view is problematic, since an argument's being "enthymematic" or incomplete with respect to its explicit premises means that the conclusion is not implied by these premises alone. The paper attempts to specify the ways in which the (...) view is incorrect, as well as seemingly correct (e.g., the case of a Modus Ponens wherein the major premise is implicit). -/- . (shrink)

I show that the Lottery Paradox is just a version of the Sorites, and argue that this should modify our way of looking at the Paradox itself. In particular, I focus on what I call “the Cut-off Point Problem” and contend that this problem, well known by Sorites scholars, ought to play a key role in the debate on Kyburg’s puzzle. Very briefly, I show that, in the Lottery Paradox, the premises “ticket n°1 will lose”, “ticket n°2 will lose”… “ticket (...) n°1000 will lose” are equivalent to soritical premises of the form “~(the winning ticket is in {…, (tn)}) ⊃ ~(the winning ticket is in {…, tn, (tn + 1)})” (where “⊃” is the material conditional, “~” is the negation symbol, “tn” and “tn + 1” are “ticket n°n” and “ticket n°n + 1” respectively, and “{}” identify the elements of the lottery tickets’ set. The brackets in “(tn)” and “(tn + 1)” are meant to point out that in the antecedent of the conditional we do not always have a “tn” (and, as a result, a “tn + 1” in the consequent): consider the conditional “~(the winning ticket is in {}) ⊃ ~(the winning ticket is in {t1})”). As a result, failing to believe, for some ticket, that it will lose comes down to introducing a cut-off point in a chain of soritical premises. In this paper I explore the consequences of the different ways of blocking the Lottery Paradox with respect to the Cut-off Point Problem. A heap variant of the Lottery Paradox is especially relevant for evaluating the different solutions. One important result is that the most popular way out of the puzzle, i.e., denying the Lockean Thesis, becomes less attractive. Moreover, I show that, along with the debate on whether rational belief is closed under classical logic, the debate on the validity of modus ponens should play an important role in discussions on the Lottery Paradox. -/- . (shrink)