In this paper we discuss the new Tweety puzzle. The original Tweety puzzle was addressed by approaches in non-monotonic logic, which aim to adequately represent the Tweety case, namely that Tweety is a penguin and, thus, an exceptional bird, which cannot fly, although in general birds can fly. The new Tweety puzzle is intended as a challenge for probabilistic theories of epistemic states. In the first part of the paper we argue against monistic Bayesians, who assume that epistemic states can (...) at any given time be adequately described by a single subjective probability function. We show that monistic Bayesians cannot provide an adequate solution to the new Tweety puzzle, because this requires one to refer to a frequency-based probability function. We conclude that monistic Bayesianism cannot be a fully adequate theory of epistemic states. In the second part we describe an empirical study, which provides support for the thesis that monistic Bayesianism is also inadequate as a descriptive theory of cognitive states. In the final part of the paper we criticize Bayesian approaches in cognitive science, insofar as their monistic tendency cannot adequately address the new Tweety puzzle. We, further, argue against monistic Bayesianism in cognitive science by means of a case study. In this case study we show that Oaksford and Chater’s (2007, 2008) model of conditional inference—contrary to the authors’ theoretical position—has to refer also to a frequency-based probability function. (shrink)

We investigate a lattice of conditional logics described by a Kripke type semantics, which was suggested by Chellas and Segerberg – Chellas–Segerberg (CS) semantics – plus 30 further principles. We (i) present a non-trivial frame-based completeness result, (ii) a translation procedure which gives one corresponding trivial frame conditions for arbitrary formula schemata, and (iii) non-trivial frame conditions in CS semantics which correspond to the 30 principles.

Whether the prefrontal cortex is part of the neural substrates of consciousness is currently debated. Against prefrontal theories of consciousness, many have argued that neural activity in the prefrontal cortex does not correlate with consciousness but with subjective reports. We defend prefrontal theories of consciousness against this argument. We surmise that the requirement for reports is not a satisfying explanation of the difference in neural activity between conscious and unconscious trials, and that prefrontal theories of consciousness come out of this (...) debate unscathed. (shrink)

I develop a theory of counterfactuals about relative computability, i.e. counterfactuals such as 'If the validity problem were algorithmically decidable, then the halting problem would also be algorithmically decidable,' which is true, and 'If the validity problem were algorithmically decidable, then arithmetical truth would also be algorithmically decidable,' which is false. These counterfactuals are counterpossibles, i.e. they have metaphysically impossible antecedents. They thus pose a challenge to the orthodoxy about counterfactuals, which would treat them as uniformly true. What’s more, I (...) argue that these counterpossibles don’t just appear in the periphery of relative computability theory but instead they play an ineliminable role in the development of the theory. Finally, I present and discuss a model theory for these counterfactuals that is a straightforward extension of the familiar comparative similarity models. (shrink)

In this paper, I examine Alston's arguments for doxastic involuntarism. Alston fails to distinguish (i) between volitional and executional lack of control, and (ii) between compatibilist and libertarian control. As a result, he fails to notice that, if one endorses a compatibilist notion of voluntary control, the outcome is a straightforward and compelling case for doxastic voluntarism. Advocates of involuntarism have recently argued that the compatibilist case for doxastic voluntarism can be blocked by pointing out that belief is never intentional. (...) In response to this strategy, I distinguish between two types of intentionality and argue that belief is no less intentional than action is. (shrink)

Opponents to consciousness in fish argue that fish do not feel pain because they do not have a neocortex, which is a necessary condition for feeling pain. A common counter-argument appeals to the multiple realizability of pain: while a neocortex might be necessary for feeling pain in humans, pain might be realized differently in fish. This paper argues, first, that it is impossible to find a criterion allowing us to demarcate between plausible and implausible cases of multiple realization of pain (...) without running into a circular argument. Second, opponents to consciousness in fish cannot be provided with reasons to believe in the multiple realizability of pain. I conclude that the debate on the existence of pain in fish is impossible to settle by relying on the multiple realization argument. (shrink)

As for most measurement procedures in the course of their development, measures of consciousness face the problem of coordination, i.e., the problem of knowing whether a measurement procedure actually measures what it is intended to measure. I focus on the case of the Perceptual Awareness Scale to illustrate how ignoring this problem leads to ambiguous interpretations of subjective reports in consciousness science. In turn, I show that empirical results based on this measurement procedure might be systematically misinterpreted.

Consciousness is scientifically challenging to study because of its subjective aspect. This leads researchers to rely on report-based experimental paradigms in order to discover neural correlates of consciousness (NCCs). I argue that the reliance on reports has biased the search for NCCs, thus creating what I call 'methodological artefacts'. This paper has three main goals: first, describe the measurement problem in consciousness science and argue that this problem led to the emergence of methodological artefacts. Second, provide a critical assessment of (...) the NCCs put forward by the global neuronal workspace theory. Third, provide the means of dissociating genuine NCCs from methodological artefacts. (shrink)

According to a standard criticism, Robert Brandom's “normative pragmatics”, i.e. his attempt to explain normative statuses in terms of practical attitudes, faces a dilemma. If practical attitudes and their interactions are specified in purely non-normative terms, then they underdetermine normative statuses; but if normative terms are allowed into the account, then the account becomes viciously circular. This paper argues that there is no dilemma, because the feared circularity is not vicious. While normative claims do exhibit their respective authors' practical attitudes (...) and thereby contribute towards establishing the normative statuses they are about, this circularity is not a mark of Brandom's explanatory strategy but a feature of social practice of which we theorists partake. (shrink)

According to the global neuronal workspace model of consciousness, consciousness results from the global broadcast of information throughout the brain. The global neuronal workspace is mainly constituted by a fronto-parietal network. The anterior insular cortex is part of this global neuronal workspace, but the function of this region has not yet been defined within the global neuronal workspace model of consciousness. In this review, I hypothesize that the anterior insular cortex implements a cross-modal priority map, the function of which is (...) to determine priorities for the processing of information and subsequent entrance in the global neuronal workspace. (shrink)

The aim of this paper is to show that the French philosopher and historian of science Abel Rey played a more influential role in the formative phase of the Vienna Circle than hitherto supposed. On the whole, it will be argued that Rey's contribution had political impact. His interpretation of "modern physics" in 1907 in the face of the alleged "bankruptcy of science" should be appreciated as a masterpiece of applied enlightenment thought. As such, it was especially paradigmatic for Philipp (...) Frank's "positivist" defense of the theory of relativity and quantum mechanics against the irrationalist tendencies of the 1920s and 1930s. (shrink)

A general class of labeled sequent calculi is investigated, and necessary and sufficient conditions are given for when such a calculus is sound and complete for a finite -valued logic if the labels are interpreted as sets of truth values. Furthermore, it is shown that any finite -valued logic can be given an axiomatization by such a labeled calculus using arbitrary "systems of signs," i.e., of sets of truth values, as labels. The number of labels needed is logarithmic in the (...) number of truth values, and it is shown that this bound is tight. (shrink)

A construction principle for natural deduction systems for arbitrary, finitely-many-valued first order logics is exhibited. These systems are systematically obtained from sequent calculi, which in turn can be automatically extracted from the truth tables of the logics under consideration. Soundness and cut-free completeness of these sequent calculi translate into soundness, completeness, and normal-form theorems for natural deduction systems.

A uniform construction for sequent calculi for finite-valued first-order logics with distribution quantifiers is exhibited. Completeness, cut-elimination and midsequent theorems are established. As an application, an analog of Herbrand’s theorem for the four-valued knowledge-representation logic of Belnap and Ginsberg is presented. It is indicated how this theorem can be used for reasoning about knowledge bases with incomplete and inconsistent information.

The aim of this paper is to emphasize the fact that for all finitely-many-valued logics there is a completely systematic relation between sequent calculi and tableau systems. More importantly, we show that for both of these systems there are al- ways two dual proof sytems (not just only two ways to interpret the calculi). This phenomenon may easily escape one’s attention since in the classical (two-valued) case the two systems coincide. (In two-valued logic the assignment of a truth value and (...) the exclusion of the opposite truth value describe the same situation.). (shrink)

Critical realism is a frequently mentioned, but not very well-known, late nineteenth-/early twentieth-century philosophical tradition. Having its roots in Kantian epistemology, critical realism is best characterized as a revisionist approach toward the original Kantian doctrine. Its most outstanding thesis is the idea that Kantian things-in-themselves are knowable. This idea was—at least implicitly—suggested by thinkers such as Alois Riehl, Wilhelm Wundt, and Oswald Külpe. Interestingly enough, the philosophical position of the early Moritz Schlick stands in the critical realist tradition as well. (...) As will be outlined in the course of this paper, both Schlick’s magnum opus General Theory of Knowledge (1918) and his seminal Space and Time in Contemporary Physics (1917) are based on the assumption that the objects of science are relations and that relations have the status of Kantian things-in-themselves. By way of conclusion, I shall point out that this— more or less directly—leads to the current debate over ‘structural’ realism. (shrink)

Takeuti and Titani have introduced and investigated a logic they called intuitionistic fuzzy logic. This logic is characterized as the first-order Gödel logic based on the truth value set [0,1]. The logic is known to be axiomatizable, but no deduction system amenable to proof-theoretic, and hence, computational treatment, has been known. Such a system is presented here, based on previous work on hypersequent calculi for propositional Gödel logics by Avron. It is shown that the system is sound and complete, and (...) allows cut-elimination. A question by Takano regarding the eliminability of the Takeuti-Titani density rule is answered affirmatively. (shrink)

It is shown that Gqp↑, the quantified propositional Gödel logic based on the truth-value set V↑ = {1 - 1/n : n≥1}∪{1}, is decidable. This result is obtained by reduction to Büchi's theory S1S. An alternative proof based on elimination of quantifiers is also given, which yields both an axiomatization and a characterization of Gqp↑ as the intersection of all finite-valued quantified propositional Gödel logics.

Entailment in propositional Gödel logics can be defined in a natural way. While all infinite sets of truth values yield the same sets of tautologies, the entailment relations differ. It is shown that there is a rich structure of infinite-valued Gödel logics, only one of which is compact. It is also shown that the compact infinite-valued Gödel logic is the only one which interpolates, and the only one with an r.e. entailment relation.

The first-order temporal logics with □ and ○ of time structures isomorphic to ω (discrete linear time) and trees of ω-segments (linear time with branching gaps) and some of its fragments are compared: the first is not recursively axiomatizable. For the second, a cut-free complete sequent calculus is given, and from this, a resolution system is derived by the method of Maslov.

A foundationalist account of the justification of our empirical beliefs is committed to the following two claims: (1) Sense experience is a source of justification. (2) Some empirical beliefs are basic: justified without receiving their justification from any other beliefs. In this paper, I will defend each of these claims against an objection. The objection to (1) that I will discuss is due to Donald Davidson. He writes: The relation between a sensation and a belief cannot be logical, since sensations (...) are not beliefs or other propositional attitudes. What then is the relation? The answer is, I think, obvious: the relation is causal. Sensations cause some beliefs and in this sense are the basis or ground of those beliefs. But a causal explanation of a belief does not show how or why the belief is justified. [1] There are two important thoughts in this passage. The first of these is explicitly expressed, the second implied: (3) Sense-experiential states are devoid of propositional content. (4) Necessarily, if a mental state can play the role of a justifier, it has propositional content. (3) and (4) entail that a sense-experiential state cannot play the role of a justifier. If that is true, then (1) is false. This, in any case, seems to me to be Davidson's argument. In response to it, I accept (4) but reject (3). This is an unusual move for foundationalists, who tend to accept (3) and deny (4). Nevertheless, it is what I take to be the right move. (shrink)

We present a model of the distribution of labour in science. Such models tend to rely on the mechanism of the invisible hand . Our analysis starts from the necessity of standards in distributed processes and the possibility of multiple standards in science. Invisible hand models turn out to have only limited scope because they are restricted to describing the atypical single-standard case. Our model is a generalisation of these models to J standards; single-standard models such as Kitcher are a (...) limiting case. We introduce and formalise this model, demonstrate its dynamics and conclude that the conclusions commonly derived from invisible hand models about the distribution of labour in science are not robust against changes in the number of standards. (shrink)

This document presents the Bonn PRINTEGER Consensus Statement: Working with Research Integrity—Guidance for research performing organisations. The aim of the statement is to complement existing instruments by focusing specifically on institutional responsibilities for strengthening integrity. It takes into account the daily challenges and organisational contexts of most researchers. The statement intends to make research integrity challenges recognisable from the work-floor perspective, providing concrete advice on organisational measures to strengthen integrity. The statement, which was concluded February 7th 2018, provides guidance on (...) the following key issues: § 1. Providing information about research integrity§ 2. Providing education, training and mentoring§ 3. Strengthening a research integrity culture§ 4. Facilitating open dialogue§ 5. Wise incentive management§ 6. Implementing quality assurance procedures§ 7. Improving the work environment and work satisfaction§ 8. Increasing transparency of misconduct cases§ 9. Opening up research§ 10. Implementing safe and effective whistle-blowing channels§ 11. Protecting the alleged perpetrators§ 12. Establishing a research integrity committee and appointing an ombudsperson§ 13. Making explicit the applicable standards for research integrity. (shrink)

This document presents the Bonn PRINTEGER Consensus Statement: Working with Research Integrity—Guidance for research performing organisations. The aim of the statement is to complement existing instruments by focusing specifically on institutional responsibilities for strengthening integrity. It takes into account the daily challenges and organisational contexts of most researchers. The statement intends to make research integrity challenges recognisable from the work-floor perspective, providing concrete advice on organisational measures to strengthen integrity. The statement, which was concluded February 7th 2018, provides guidance on (...) the following key issues: § 1.Providing information about research integrity § 2.Providing education, training and mentoring § 3.Strengthening a research integrity culture § 4.Facilitating open dialogue § 5.Wise incentive management § 6.Implementing quality assurance procedures § 7.Improving the work environment and work satisfaction § 8.Increasing transparency of misconduct cases § 9.Opening up research § 10.Implementing safe and effective whistle-blowing channels § 11.Protecting the alleged perpetrators § 12.Establishing a research integrity committee and appointing an ombudsperson § 13.Making explicit the applicable standards for research integrity. (shrink)

The question whether a constitutive linguistic norm can be prescriptive is central to the debate on the normativity of meaning. Recently, the author has attempted to defend an affirmative answer, pointing to how speakers sporadically invoke constitutive linguistic norms in the service of linguistic calibration. Such invocations are clearly prescriptive. However, they are only appropriate if the invoked norms are applicable to the addressed speaker. But that can only be the case if the speaker herself generally accepts them. This qualification (...) has led critics to argue that if an addressed speaker’s acceptance is a necessary condition for legitimate prescriptions (and reproach for failure to adhere to them), then the account becomes unable to underwrite actual normativity. Moreover, critics argue, a danger of vicious circularity arises from the calibration account. This paper shows that once a vantage point within the calibration practice is accepted, the criticisms lose their force. It then explores why a theorist might reject such a perspective and suggests, as a plausible candidate, implicit Humean assumptions about the proper explanation of (linguistic) action. The paper ends by sketching a way forward for the debate on the normativity of meaning in light of this diagnosis. (shrink)

This is a review of: God's Rational Warriors: The Rationality of Faith Considered.

The problem of approximating a propositional calculus is to find many-valued logics which are sound for the calculus (i.e., all theorems of the calculus are tautologies) with as few tautologies as possible. This has potential applications for representing (computationally complex) logics used in AI by (computationally easy) many-valued logics. It is investigated how far this method can be carried using (1) one or (2) an infinite sequence of many-valued logics. It is shown that the optimal candidate matrices for (1) can (...) be computed from the calculus. (shrink)

The problem of algorithmic structuring of proofs in the sequent calculi LK and LKB ( LK where blocks of quantifiers can be introduced in one step) is investigated, where a distinction is made between linear proofs and proofs in tree form. In this framework, structuring coincides with the introduction of cuts into a proof. The algorithmic solvability of this problem can be reduced to the question of k-l-compressibility: "Given a proof of length k , and l ≤ k : Is (...) there is a proof of length ≤ l ?" When restricted to proofs with universal or existential cuts, this problem is shown to be (1) undecidable for linear or tree-like LK-proofs (corresponds to the undecidability of second order unification), (2) undecidable for linear LKB-proofs (corresponds to the undecidability of semi-unification), and (3) decidable for tree-like LKB -proofs (corresponds to a decidable subprob- lem of semi-unification). (shrink)

All first-order Gödel logics G_V with globalization operator based on truth value sets V C [0,1] where 0 and 1 lie in the perfect kernel of V are axiomatized by Ciabattoni’s hypersequent calculus HGIF.

Propositional logics in general, considered as a set of sentences, can be undecidable even if they have “nice” representations, e.g., are given by a calculus. Even decidable propositional logics can be computationally complex (e.g., already intuitionistic logic is PSPACE-complete). On the other hand, finite-valued logics are computationally relatively simple—at worst NP. Moreover, finite-valued semantics are simple, and general methods for theorem proving exist. This raises the question to what extent and under what circumstances propositional logics represented in various ways can (...) be approximated by finite-valued logics. It is shown that the minimal m-valued logic for which a given calculus is strongly sound can be calculated. It is also investigated under which conditions propositional logics can be characterized as the intersection of (effectively given) sequences of finite-valued logics. (shrink)

It is shown that the infinite-valued first-order Gödel logic G° based on the set of truth values {1/k: k ε w {0}} U {0} is not r.e. The logic G° is the same as that obtained from the Kripke semantics for first-order intuitionistic logic with constant domains and where the order structure of the model is linear. From this, the unaxiomatizability of Kröger's temporal logic of programs (even of the fragment without the nexttime operator O) and of the authors' temporal (...) logic of linear discrete time with gaps follows. (shrink)

It is shown how the schema of equivalence can be used to obtain short proofs of tautologies A , where the depth of proofs is linear in the number of variables in A .

The text introduces the concept behind the Proceedings of the 2018 ZiF Workshop “Studying Migration Policies at the Interface between Empirical Research and Normative Analysis”. It explains why there is a need to study migration policies across disciplines, includes a short note on the current literature, and provides a look back at the workshop. DOI:10.17879/15199624685 .

Facts such as the fact that Donald Trump is the US president or the fact that Germany won the 2014 world cup final are commonly referred to as “institutional facts” (“IFF”). I advocate the view that the nature of these facts is comparatively simple: they are facts that exist by virtue of collective recognition (CR), where CR can be direct or indirect. The leading account of IFF, that of John Searle, basically conforms with this definition. However, in his writings Searle (...) has considered or defended several other conditions as potentially necessary for the existence of IFF. In particular, he has considered whether (a) IFF necessarily involve deontic powers, (b) IFF are necessarily so-called “status functions”, (c) IFF require speech acts of Declaring for their existence, (d) IFF require language for their existence. Each of these considerations, if valid, would seem to render the nature of IFF less simple. In this paper, I argue that none of these considerations stand up to scrutiny. Being unaware of any other serious considerations of this kind, I conclude that the nature of IFF is simple as captured by my definition. There is a respect, however, in which my view is possibly less simple than Searle’s, for he suggests that CR is always direct, and never indirect. I reject this suggestion. Indeed, I think that most of the facts existing by virtue of CR exist by virtue of indirect CR. Some authors have (or at least might be construed as having) objected that CR is not even necessary for the existence of IFF. I argue that the account defended here is immune to these objections. (shrink)

It is commonly held that the ascription of truth to a sentence is intersubstitutable with that very sentence. However, the simplest subclassical logics available to proponents of this view, namely K3 and LP, are hopelessly weak for many purposes. In this paper, I argue that this is much more of a problem for proponents of LP than for proponents of K3. The strategies for recapturing classicality offered by proponents of LP are far less promising than those available to proponents of (...) K3. This undermines the ability of proponents LP to engage in public reasoning in classical domains. (shrink)

This paper argues that throughout his intellectual career, Hobbes remains unsatisfied with his own attempts at proving the invariant advisability of contract-keeping. Not only does he see himself forced to abandon his early idea that contractual obligation is a matter of physical laws. He also develops and retains doubts concerning its theoretical successor, the doctrine that the obligatoriness characteristic of contracts is the interest in self-preservation in alliance with instrumental reason - i.e. prudence. In fact, it is during his work (...) on Leviathan that Hobbes notes the doctrine's main shortcoming, namely the limitation of its dialectical potential to cases in which contract-breakers are publicly identifiable. This essay shows Hobbes's doubts about his Leviathan's treatment of contractual obligation by way of a close reading of its central 15 th chapter and an analysis of some revealing shifts between the English Leviathan and the Latin edition. The paper ends by suggesting that Hobbes's awareness of the flaws at the heart of his political philosophy helps account for some striking changes in his latest writings. (shrink)

It is commonly thought that the prevalence of moral dissent poses a problem for the moral cognitivist, forcing her to diagnose either a lot of misunderstanding, or a lot of unexplained observational error. Since mere misunderstanding can be ruled out in most cases of moral dissent, and since the diagnosis of widespread unexplained error is interpretively unstable, prevalent dissent has pushed many philosophers towards non-cognitivism. In this essay, I argue that once a diachronic, pragmatist theory of language along the lines (...) of the latest Wittgenstein is employed, a third interpretive option becomes available to the cognitivist. Besides the diagnostic options of misunderstanding and factual disagreement, she can argue that a given case of moral dissent is an instance of grammatical tension. This interpretation not only saves moral cognitivism, it also has some attractive theoretical implications. Among other things, it yields an elegant way of solving the current debate around moral particularism. (shrink)

This essay argues that there is room for a third position between moral particularism and moral generalism in their orthodox forms. The view proposed in this essay is inspired by the later Wittgenstein's conception of grammar and holds that formulations of ethical principles can be interpreted as grammatical statements, while ethical problems can be interpreted as instances of grammatical tension. On this reading, situations in which ethical principles turn out to conict come out as moments in the evolution of language. (...) Three consequences are discussed, and welcomed as general insights into the workings of language. (shrink)

Local theories of consciousness state that one is conscious of a feature if it is adequately represented and processed in sensory brain areas, given some background conditions. We challenge the core prediction of local theories based on recently discovered long-lasting postdictive effects demonstrating that features can be represented for hundreds of milliseconds in perceptual areas without being consciously perceived. Unlike previous empirical data aimed against local theories, proponents of local theories cannot explain these effects away by conjecturing that subjects are (...) phenomenally conscious of features that they cannot report. Only a strong and counterintuitive version of this claim can account for long-lasting postdictive effects. Although possible, we argue that adopting this strong version of the “overflow hypothesis” would have the effect of nullifying the weight of the evidence taken to support local theories of consciousness in the first place. We also discuss several alternative explanations that proponents of local theories could offer. (shrink)

Having a confirmation bias sometimes leads us to hold inaccurate beliefs. So, the puzzle goes: why do we have it? According to the influential argumentative theory of reasoning, confirmation bias emerges because the primary function of reason is not to form accurate beliefs, but to convince others that we’re right. A crucial prediction of the theory, then, is that confirmation bias should be found only in the reasoning domain. In this article, we argue that there is evidence that confirmation bias (...) does exist outside the reasoning domain. This undermines the main evidential basis for the argumentative theory of reasoning. In presenting the relevant evidence, we explore why having such confirmation bias may not be maladaptive. (shrink)

Doerig et al. have set several criteria that theories of consciousness need to fulfill. By these criteria, higher-order theories fare better than most existing theories. But they also argue that higher-order theories may not be able to answer both the ‘small network argument’ and the ‘other systems argument’. In response, we focus on the case of the Perceptual Reality Monitoring theory to explain why higher-order theories do just fine.