Big Data is a large-sized and complex dataset, which cannot be managed using traditional data processing tools. Mining process of big data is the ability to extract valuable information from these large datasets. Association rule mining is a type of data mining process, which is indented to determine interesting associations between items and to establish a set of association rules whose support is greater than a specific threshold. The classical association rules can only be extracted from binary data where (...) an item exists in a transaction, but it fails to deal effectively with quantitative attributes, through decreasing the quality of generated association rules due to sharp boundary problems. In order to overcome the drawbacks of classical association rule mining, we propose in this research a new neutrosophic association rule algorithm. The algorithm uses a new approach for generating association rules by dealing with membership, indeterminacy, and non-membership functions of items, conducting to an efficient decision-making system by considering all vague association rules. To prove the validity of the method, we compare the fuzzy mining and the neutrosophic mining. The results show that the proposed approach increases the number of generated association rules. (shrink)

A truth-preservation fallacy is using the concept of truth-preservation where some other concept is needed. For example, in certain contexts saying that consequences can be deduced from premises using truth-preserving deduction rules is a fallacy if it suggests that all truth-preserving rules are consequence-preserving. The arithmetic additive-associativity rule that yields 6 = (3 + (2 + 1)) from 6 = ((3 + 2) + 1) is truth-preserving but not consequence-preserving. As noted in James Gasser’s dissertation, Leibniz has been (...) criticized for using that rule in attempting to show that arithmetic equations are consequences of definitions. -/- A system of deductions is truth-preserving if each of its deductions having true premises has a true conclusion—and consequence-preserving if, for any given set of sentences, each deduction having premises that are consequences of that set has a conclusion that is a consequence of that set. Consequence-preserving amounts to: in each of its deductions the conclusion is a consequence of the premises. The same definitions apply to deduction rules considered as systems of deductions. Every consequence-preserving system is truth-preserving. It is not as well-known that the converse fails: not every truth-preserving system is consequence-preserving. Likewise for rules: not every truth-preserving rule is consequence-preserving. There are many famous examples. In ordinary first-order Peano-Arithmetic, the induction rule yields the conclusion ‘every number x is such that: x is zero or x is a successor’—which is not a consequence of the null set—from two tautological premises, which are consequences of the null set, of course. The arithmetic induction rule is truth-preserving but not consequence-preserving. Truth-preserving rules that are not consequence-preserving are non-logical or extra-logical rules. Such rules are unacceptable to persons espousing traditional truth-and-consequence conceptions of demonstration: a demonstration shows its conclusion is true by showing that its conclusion is a consequence of premises already known to be true. The 1965 Preface in Benson Mates (1972, vii) contains the first occurrence of truth-preservation fallacies in the book. (shrink)

Foundational theories of mental content seek to identify the conditions under which a mental representation expresses, in the mind of a particular thinker, a particular content. Normativists endorse the following general sort of foundational theory of mental content: A mental representation r expresses concept C for agent S just in case S ought to use r in conformity with some particular pattern of use associated with C. In response to Normativist theories of content, Kathrin Glüer-Pagin and Åsa Wikforss propose a (...) dilemma, alleging that Normativism either entails a vicious regress or falls prey to a charge of idleness. In this paper, I respond to this argument. I argue that Normativism can avoid the commitments that generate the regress and does not propose the sort of explanation required to charge that its explanation has been shown to be problematically idle. The regress-generating commitment to be avoided is, roughly, that tokened, contentful mental states are the product of rule-following. The explanatory task Normativists should disavow is that of explaining how it is that beliefs and other contentful mental states are produced. I argue that Normativism, properly understood as a theory of content, does not provide this kind of psychological explanation, and therefore does not entail that such explanations are to be given in terms of rule-following. If this is correct, Normativism is not the proper target of the dilemma offered by Glüer-Pagin and Wikforss. Understanding why one might construe Normativism in the way Glüer-Pagin and Wikforss must, and how, properly understood, it avoids their dilemma, can help us to appreciate the attractiveness of a genuinely normative theory of content and the importance of paying careful attention to the sort of normativity involved in norm-based theories of content. (shrink)

Proponents of the rule of law argue about whether that ideal should be conceived formalistically or in terms of substantive values. Formalistically, the rule of law is associated with principles like generality, clarity, prospectivity, consistency, etc. Substantively, it is associated with market values, with constitutional rights, and with freedom and human dignity. In this paper, I argue for a third layer of complexity: the procedural aspect of the rule of law; the aspects of rule-of-law requirements that (...) have to do with "natural Justice" or "procedural due process." These I believe have been neglected in the jurisprudential literature devoted specifically to the idea of the rule of law and they deserve much greater emphasis. Moreover procedural values go beyond elementary principles like the guarantee of an unbiased tribunal or the opportunity to present and confront evidence. They include the right to argue in a court about what the law is and what its bearing should be on one's situation. The provision that law makes for argument is necessarily unsettling, and so this emphasis on the procedural aspect highlights the point predictability should not be regarded as the be-all and end-all of the rule of law. (shrink)

In her seminal article ‘Modern Moral Philosophy’ (1958) Elizabeth Anscombe argued that we need a new ethics, one that uses virtue terms to generate absolute prohibitions against certain act-types. Leading contemporary virtue ethicists have not taken up Anscombe's challenge in justifying absolute prohibitions and have generally downplayed the role of rule-following in their normative theories. That they have not done so is primarily because contemporary virtue ethicists have focused on what is sufficient for characterizing the deliberation and action of (...) the fully virtuous person, and rule-following is inadequate for this task. In this article, I take up Anscombe's challenge by showing that rule-following is necessary for virtuous agency, and that virtue ethics can justify absolute prohibitions. First, I offer a possibility proof by showing how virtue ethics can generate absolute prohibitions in three ways: by considering actions that directly manifest vice or that cannot be performed virtuously; actions that are prohibited by one's institutional roles and practical identities; and actions that are prohibited by the prescriptions of the wise. I then seek to show why virtue ethicists should incorporate rule-following and absolute prohibitions into their theories. I emphasize the central role that rules have in the development of virtue, then motivate the stronger view that fully virtuous agents follow moral rules by considering the importance of hope, uncertainty about consequences, and taking responsibility for what eventuates. Finally, I provide an account of what Anscombe called a ‘corrupt mind’, explaining how our understanding of virtue is corrupted if we think that virtue may require us to do vicious actions. (shrink)

In this paper, I examine Hume’s account of an important class of causal belief which he calls “general rules”. I argue that he understands general rules, like all causal beliefs, as lively ideas which are habitually associated with our impressions or memories. However, I argue, he believes that they are unlike any reflectively produced causal beliefs in that they are produced quickly and automatically, such that they occur independently of any other processes of reasoning. Given this, I argue, Hume appears (...) to understand general rules as relatively simple beliefs, expressible only via generic sentences, like “birds lay eggs”. (shrink)

One is sometimes, but only sometimes, justified in pursuing a suboptimal course of action due to a concern that, in attempting the ideal course, one might fail to follow through and so make the situation even worse. This paper explains why such hedging is sometimes justified and sometimes not. -/- The explanation we offer relies on Elizabeth Anscombe’s distinction between reasons and logoi. Reasons are normative considerations that identify something good or bad that an act will secure or avoid, while (...) logoi constrain which actions one may consider at all. We argue that a careful unpacking of this distinction, in light of Anscombe’s associated notion of natural unintelligibility, explains why hedging is only sometimes justified. First, the intuitively inappropriate cases of hedging all involve treating logoi as though they had the normative bearing of reasons. Second, the action-theoretic differences between reasons and logoi ground a principled explanation of why one may hedge when considering reasons but not when considering logoi. -/- Having made this argument, we then show how our approach to hedging is superior to the two approaches recently developed by Berislav Marušić and Stephen White. First, we show that their accounts give counter-intuitive results in some cases. Second, we argue that their accounts violate a plausible principle of interpersonal parity (i.e., they sometimes allow us to consider the faults of others while precluding us from considering our own faults). Finally, we argue that our account better explains how intuitions shift as we vary the details of cases. (shrink)

This paper is a commentary on the target article by Lokendra Shastri & Venkat Ajjanagadde [S&A]: “From simple associations to systematic reasoning: A connectionist representation of rules, variables and dynamic bindings using temporal synchrony” in same issue of the journal, pp.417–451. -/- It puts S&A's temporal-synchrony binding method in a broader context, comments on notions of pointing and other ways of associating information - in both computers and connectionist systems - and mentions types of reasoning that are a challenge to (...) S&A's system (amongst many other connectionist systems, recognizing that S&A's is much more capable as regards reasoning than most other contemporary systems). (shrink)

Why do we have social norms—of fairness, cooperation, trust, property, or gender? Modern-day Humeans, as I call them, believe these norms are best accounted for in cultural evolutionary terms, as adaptive solutions to recurrent problems of social interaction. In this paper, I discuss a challenge to this “Humean Program.” Social norms involve widespread behaviors, but also distinctive psychological attitudes and dispositions. According to the challenge, Humean accounts of norms leave their psychological side unexplained. They explain, say, why we share equally, (...) but not why we disapprove of those who don’t. I defend the Humean Program against this challenge. In particular, I suggest an idea for how to extend the Program to account for the psychological side of norms. Socially adaptive behaviors aren’t just likely to emerge in a group; They are also likely to be widely taught within it. The transmission of these behaviors through instruction explains why they are associated with distinctive normative attitudes and dispositions. These attitudes play a pedagogical role in helping transmit these behaviors to children and newcomers. (shrink)

John Broome’s Rationality Through Reasoning is a trail-blazing study of the nature of rationality, the nature of reasoning and the connection between the two. But it may be somewhat misleading in two respects. First, his theory of reasoning is consistent with the meta-propositional view that he rejects; it develops a broadly similar theory but in much greater detail. And while his discussion of rule-following helps to explain the role of rules in reasoning, it does not constitute a response to (...) the classic problem associated with Wittgenstein and Kripke. (shrink)

It is commonly thought that Hume endorses the claim that causal cognition can be fully explained in terms of nothing but custom and habit. Associative learning does, of course, play a major role in the cognitive psychology of the Treatise. But Hume recognizes that associations cannot provide a complete account of causal thought. If human beings lacked the capacity to reflect on rules for judging causes and effects, then we could not (as we do) distinguish between accidental and genuine regularities, (...) and Hume could not (as he does) carry out his science of human nature. One might reply that what appears to be rule-governed behavior might emerge from associative systems that do not literally employ rules. But this response fails: there is a growing consensus in cognitive science that any adequate account of causal learning must invoke active, controlled cognitive processes. (shrink)

Primary and secondary processes are the foundational axes of the Freudian mental apparatus: one horizontally as a tendency to associate, the primary process, and one vertically as the ability for perspective taking, the secondary process. Primary process mentation is not only supposed to be dominant in the unconscious but also, for example, in dreams. The present study tests the hypothesis that the mental activity during REM-sleep has more characteristics of the primary process, while during non-REM-sleep more secondary process operations take (...) place. Because the solving of a rebus requires the ability to non-contexually condensate the literal reading of single stimuli into a new one, rebus solving is a primary process operation by excellence. In a replication of the dream-rebus study of Shevrin and Fisher (1967), a rebus, which consisted of an image of a comb (German: “Kamm”) and an image of a raft (German: “Floß”), resulting in the German rebus word “kampflos” (Engl.: without a struggle), was flashed subliminally (at 1 ms) to 20 participants before going to sleep. Upon consecutive awakenings participants were asked for a dream report, free associations and an image description. Based on objective association norms, there were significantly more conceptual associations referring to Kamm and Floß indexing secondary process mentation when subjects were awakened from non-REM sleep as compared to REM-awakenings. There were not significantly more rebus associations referring to kampflos indexing primary process mentation when awakened from REM-sleep as compared to non-REM awakenings. However, when the associations were scored on the basis of each subject’s individual norms, there was a rebus effect with more idiosyncratic rebus associations in awakenings after REM than after non-REM-sleep. Our results support the general idea that REM-sleep is characterized by primary process thinking, while non-REM-sleep mentation follows the rules of the secondary process. (shrink)

This essay reads Oakeshott’s views on practice, politics, and aesthetics in the manner of the ‘hypothetical history’ of civilization in Rousseau’s Second Discourse. Under conditions of progress in the arts and sciences the future-oriented world of practice suffers under the law of ruin and practical selves become more inept at acting practically over time. This degeneration has a direct impact on the two tasks of civil association: progress favors the accumulation of power with its future-oriented temporality while it undermines the (...) cultivation of authority which is past-orientation. But only authority is the distinct concern of civil association. Consequently, civil association requires from its ruling offices to be increasingly artful in managing the imbalance between the two. Aesthetics with its temporality of presentness may come to their aid as it restores the present world from the oblivion of progressive practice by detaching its components from practical use. The political art thus requires the protection of the voice of poetry from the tendency of practice to overgrow its own boundaries. This dependence of politics on aesthetics is symbolized by the poets who ‘rule’ solely through authority and without any concern for power. In this hypothetical history the survival of civil association hinges not on the refusal to accumulate more power, but on its ever more demanding virtuous use for the sake of poetry. (shrink)

This thesis is an interrogation of the viability of transitive production, which I associate with the Aristotelian term hylomorphic. The central axiom of hylomorphic production that will be targeted for critique is that the agent of production must be distinguished absolutely from the product. The thesis follows the thought of production primarily-but not exclusively-in its characteristically modem instantiation in the Kantian transcendental. The argument seeks to demonstrate that the productive aspect of the operator of transitive production is incompatible with the (...) transcendental element, and that Kant was himself increasingly aware of this problem. The Third Critique, under the rubric of an aesthetics, it will be argued, manifests this awareness in its problematic of a manifold of empirical laws. That this constitutes a difficulty for transcendent idealism means that the transcendental operators of the First Critique have failed to constitute experience in a relevant and important way. Furthermore, it is possible to see in some of the famous slogans of the Third Critique, an indication of another mode of production which is immune to the difficulties of the axiom of transitive production. In conclusion I suggest that the consequences of this new mode of intransitive production, associated with materiality, is destructive of the thought of the axiomatic otherworldliness of production operators. Production is not operated at all. Some suggestions are then made as to the explanation of the error embodied in the axiom of transitivity. (shrink)

Individual attributes, such as educational background, may influence the degree of health consideration in food consumption. The local social norms may affect the same consideration in the collective level. Represented by education level and the custom rules adherence in food choosing behavior, this study aimed to examine how knowledge influences health consideration in food consumption and how the local social norms moderate this association in a multicultural enriched society. By utilizing the Bayesian Mindsponge Framework (BMF) as a conceptual framework, this (...) study analyzed a dataset of 710 urban residents in Indonesia. There was a negative association between education level and health consideration in food consumption in which the custom rules adherence in food choosing behavior moderated against this negative association. For those with a low level of custom-based food consumption, their health consideration is lower as they have higher education level. However, the opposite trend which is a more intuitive positive association was found in those who consume more custom-based food. Socio-cultural factors have a complex impact on food choosing behavior among Indonesian urban residents. Therefore, governmental policies in the health promotion campaign of healthy-nutritious food should incorporate socio-cultural aspects with a deeper understanding of the human mind’s information processing. (shrink)

Plato’s idea of the second-best state is the first appearance of the rule of law. It is considered as a realistic alternative to the government of the Philosopher King, differ-ing formally from it on the employment of general rules. The aim of this paper is to elaborate an articulation of both proposals and to better understand that of the rule of law within Plato’s thought. The main differences between it and the modern theories of the rule of (...) law will be assessed. Plato conceives the rule of law as a remedy directed to avoid tyranny, in which the idea of generality, characteristically associated with the rule of law. The law that rules the polis is a reasoned thought accepted by the citizenship, directed to avoid the ruling of the will of the tyrant. (shrink)

In this paper I provide a frequentist philosophical-methodological solution for the stopping rule problem presented by Lindley & Phillips in 1976, which is settled in the ecological realm of testing koalas’ sex ratio. I deliver criteria for discerning a stopping rule, an evidence and a model that are epistemically more appropriate for testing the hypothesis of the case studied, by appealing to physical notion of probability and by analyzing the content of possible formulations of evidence, assumptions of models (...) and meaning of the ecological hypothesis. First, I show the difference in the evidence taken into account in different frequentist sampling procedures presented in the problem. Next, I discuss the inapplicability of the Carnapian principle of total evidence in deciding which formulation of evidence associated with a given sampling procedure and statistical model is epistemically more appropriate for testing the hypothesis in question. Then I propose a double-perspective (evidence and model) frequentist solution based on the choice of evidence which better corresponds to the investigated ecological hypothesis, as well as on the choice of a model that embraces less unrealistic ontological assumptions. Finally, I discuss two perspectives of the stopping rule dependence. (shrink)

Amongst the entities making up social reality, are there necessary relations whose necessity is not a mere reflection of the logical connections between corresponding concepts? We distinguish three main groups of answers to this question, associated with Hume and Adolf Reinach at opposite extremes, and with Searle who occupies a position somewhere in the middle. We first set forth Reinach’s views on what he calls ‘material necessities’ in the realm of social entities. We then attempt to show that Searle has (...) not identified a sustainable position somewhere between the Humean and the Reinachian extremes. This is because Searle’s position is threatened by circularity, and to steer clear of that danger it must incorporate at least some elements of Reinach’s essentialism. (shrink)

The history of statistics is filled with many controversies, in which the prime focus has been the difference in the “interpretation of probability” between Fre- quentist and Bayesian theories. Many philosophical arguments have been elabo- rated to examine the problems of both theories based on this dichotomized view of statistics, including the well-known stopping-rule problem and the catch-all hy- pothesis problem. However, there are also several “hybrid” approaches in theory, practice, and philosophical analysis. This poses many fundamental questions. This (...) paper reviews three cases and argues that the interpretation problem of probabil- ity is insufficient to begin a philosophical analysis of the current issues in the field of statistics. A novel viewpoint is proposed to examine the relationship between the stopping-rule problem and the catch-all hypothesis problem. (shrink)

In their Introduction to Logic, Copi and Cohen suggest that students construct a formal proof by "working backwards from the conclusion by looking for some statement or statements from which it can be deduced and then trying to deduce those intermediate statements from the premises. What follows is an elaboration of this suggestion. I describe an almost mechanical procedure for determining from which statement(s) the conclusion can be deduced and the rules by which the required inferences can be made. This (...) method is designed to forestall the quandary in which many beginners find themselves: not knowing how to get started. (shrink)

Cajetan’s analogy theory is usually evaluated in terms of its fidelity to the teachings of Aquinas. But what if Cajetan was trying to answer questions Aquinas himself did not raise, and so could not help to answer? Cajetan’s De Nominum Analogia can be interpreted as intending to solve a particular semantic problem: to characterize the unity of the analogical concept, so as to defend the possibility of a non-univocal term’s mediating syllogistic reasoning. Aquinas offers various semantic characterizations of analogy, saying (...) it involves, for instance: signification per prius et posterius; or a ratio propria which is only found in one analogate; or diverse modi significandi with a common res significata. Examined in turn, it is clear that none of Aquinas’s rules for analogy solve the semantic problem described. Cajetan thus cannot be reasonably expected to have intended his analogy treatise primarily as an interpretation or systematization of Aquinas’s teaching on analogy. (shrink)

The topics approached in the 52 papers included in this book are: neutrosophic sets; neutrosophic logic; generalized neutrosophic set; neutrosophic rough set; multigranulation neutrosophic rough set (MNRS); neutrosophic cubic sets; triangular fuzzy neutrosophic sets (TFNSs); probabilistic single-valued (interval) neutrosophic hesitant fuzzy set; neutro-homomorphism; neutrosophic computation; quantum computation; neutrosophic association rule; data mining; big data; oracle Turing machines; recursive enumerability; oracle computation; interval number; dependent degree; possibility degree; power aggregation operators; multi-criteria group decision-making (MCGDM); expert set; soft sets; LA-semihypergroups; single (...) valued trapezoidal neutrosophic number; inclusion relation; Q-linguistic neutrosophic variable set; vector similarity measure; fundamental neutro-homomorphism theorem; neutro-isomorphism theorem; quasi neutrosophic triplet loop; quasi neutrosophic triplet group; BE-algebra; cloud model; Maclaurin symmetric mean; pseudo-BCI algebra; hesitant fuzzy set; photovoltaic plan; decision-making trial and evaluation laboratory (DEMATEL); Choquet integral; fuzzy measure; clustering algorithm; and many more. (shrink)

The topics approached in this collection of papers are: neutrosophic sets; neutrosophic logic; generalized neutrosophic set; neutrosophic rough set; multigranulation neutrosophic rough set (MNRS); neutrosophic cubic sets; triangular fuzzy neutrosophic sets (TFNSs); probabilistic single-valued (interval) neutrosophic hesitant fuzzy set; neutro-homomorphism; neutrosophic computation; quantum computation; neutrosophic association rule; data mining; big data; oracle Turing machines; recursive enumerability; oracle computation; interval number; dependent degree; possibility degree; power aggregation operators; multi-criteria group decision-making (MCGDM); expert set; soft sets; LA-semihypergroups; single valued trapezoidal neutrosophic (...) number; inclusion relation; Q-linguistic neutrosophic variable set; vector similarity measure; fundamental neutro-homomorphism theorem; neutro-isomorphism theorem; quasi neutrosophic triplet loop; quasi neutrosophic triplet group; BE-algebra; cloud model; fuzzy measure; clustering algorithm; and many more. (shrink)

Can we find a phenomenological basis for the ethical 'ought'? This essay addresses this question through a reflection on Husserl's fifth Meditation. In the fifth Meditation Husserl endeavors to show the manner in which I constitute the other through an associative pairing of the other with my own subjectivity. This essay argues that this same associative pairing forces me to acknowledge the other as a person of intrinsic worth insofar as I recognize myself as one. Having acknowledged the intrinsic worth (...) of the other in this way, I cannot but acknowledge my obligation to treat the other as I would like to be treated. Thus, the ethical imperative, in the form of the Golden Rule, proves to be implicated in the very constitution of the other in his or her otherness. (shrink)

This paper puts forward an account of imaginative immersion. Elaborating on Kendall Walton’s thesis that imagining aims at the fictional truth, it first argues that imaginings are inherently rule- or norm-governed: they are ‘regulated’ by that which is presented as fictionally true. It then shows that an imaginer can follow the rule or norm mandating her to imagine the propositions presented as fictional truths either by acquiring explicit beliefs about how the rule (norm) is to be followed, (...) or directly, without acquiring such beliefs. It proceeds to argue that to the extent that an imaginer follows this rule (norm) without holding such beliefs, she is more immersed in her imaginings. The general idea is that immersion in an activity is a matter of following rules or norms that apply to that activity without explicitly thinking about how to follow them, that is, without ‘doxastic mediation.’ Lastly, the paper shows that this thesis can explain various features associated with imaginative immersion, such as the sort of attentiveness it involves, the emotional response it generates, and its relation to spoilers. (shrink)

According to epistemic two-dimensionalism, every expression is associated with two kinds of meaning: a primary intension (a “Fregean” component) and a secondary intension (a “Russellian” component). While the rst kind of meaning lines up with the speaker’s abilities to pick out referents of correctly employed expressions in hypothetical scenarios, the second kind of meaning is a version of what standard semanticists call “semantic content”—a kind of content which does not pivot on speaker abilities. Despite its conciliatory temperament, epistemic two-dimensionalism has (...) come under recent attack. It has been alleged that it is bound to attribute to speakers a priori identifying knowledge of the referents of correctly employed terms, and bound also to reject valid rules of inference such as exportation: P(a) → λx[P(x)](a) (see, e.g., Soames 2005. (shrink)

We generalize, by a progressive procedure, the notions of conjunction and disjunction of two conditional events to the case of n conditional events. In our coherence-based approach, conjunctions and disjunctions are suitable conditional random quantities. We define the notion of negation, by verifying De Morgan’s Laws. We also show that conjunction and disjunction satisfy the associative and commutative properties, and a monotonicity property. Then, we give some results on coherence of prevision assessments for some families of compounded conditionals; in particular (...) we examine the Fréchet-Hoeffding bounds. Moreover, we study the reverse probabilistic inference from the conjunction Cn+1 of n + 1 conditional events to the family {Cn,En+1|Hn+1}. We consider the relation with the notion of quasi-conjunction and we examine in detail the coherence of the prevision assessments related with the conjunction of three conditional events. Based on conjunction, we also give a characterization of p-consistency and of p-entailment, with applications to several inference rules in probabilistic nonmonotonic reasoning. Finally, we examine some non p-valid inference rules; then, we illustrate by an example two methods which allow to suitably modify non p-valid inference rules in order to get inferences which are p-valid. (shrink)

ABSTRACTThis paper provides a naturalistic account of inference. We posit that the core of inference is constituted by bare inferential transitions, transitions between discursive mental representations guided by rules built into the architecture of cognitive systems. In further developing the concept of BITs, we provide an account of what Boghossian [2014] calls ‘taking’—that is, the appreciation of the rule that guides an inferential transition. We argue that BITs are sufficient for implicit taking, and then, to analyse explicit taking, we (...) posit rich inferential transitions, which are transitions that the subject is disposed to endorse. (shrink)

In his Wittgenstein on Rules and Private Language, Saul Kripke famously raised two sorts of problems for responses to the meaning skeptic that appealed to how we were disposed to use our words in the past. The first related to the fact that our “dispositions extend to only finitely many cases” while the second related to the fact that most of us have “dispositions to make mistakes.” The second of these problems has produced an enormous, and still growing, literature on (...) the purported ‘normativity’ of meaning, but the first has received (at least comparatively) little attention. It will be argued here, however, that (1) the fact that we can be disposed to make mistakes doesn’t present a serious problem for many disposition-based responses to the skeptic, and (2) considerations of the ‘finiteness’ of our dispositions point, on their own, to an important way that the relation between meaning and use must be understood as ‘normative’. In particular, the assumption that words have determinate meanings, more so than the assumption that they have ‘correctness’ conditions, rules out the possibility of understanding the relation between meaning and use in the more descriptive fashion commonly associated with dispositionalism. Nevertheless, if the relation of meaning and use is understood in a more normative key, responding to the meaning-skeptic with facts about one’s dispositions will turn out to be perfectly legitimate, though it will prevent one from being the sort of ‘dispositionalist’ that Kripke gives, without any real argument, a monopoly on disposition-based responses. (shrink)

Determinism is established in quantum mechanics by tracing the probabilities in the Born rules back to the absolute (overall) phase constants of the wave functions and recognizing these phase constants as pseudorandom numbers. The reduction process (collapse) is independent of measurement. It occurs when two wavepackets overlap in ordinary space and satisfy a certain criterion, which depends on the phase constants of both wavepackets. Reduction means contraction of the wavepackets to the place of overlap. The measurement apparatus fans out the (...) incoming wavepacket into spatially separated eigenpackets of the chosen observable. When one of these eigenpackets together with a wavepacket located in the apparatus satisfy the criterion, the reduction associates the place of contraction with an eigenvalue of the observable. The theory is nonlocal and contextual. Keywords:. (shrink)

Plato’s references to Empedocles in the myth of the Statesman perform a crucial role in the overarching political argument of the dialogue. Empedocles conceives of the cosmos as structured like a democracy, where the constituent powers ‘rule in turn’, sharing the offices of rulership equally via a cyclical exchange of power. In a complex act of philosophical appropriation, Plato takes up Empedocles’ cosmic cycles of rule in order to ‘correct’ them: instead of a democracy in which rule (...) is shared cyclically amongst equal constituents, Plato’s cosmos undergoes cycles of the presence and absence of a single cosmic monarch who possesses ‘kingly epistēmē’. By means of a revision of Empedocles’ democratic cosmology, Plato’s richly woven myth is designed precisely to reject the appropriateness of democracy as a form of human political association and legitimate monarchy in its stead. (shrink)

Migraine is a complex neurological disorder characterized by recurrent moderate to severe headaches, accompanied by additional symptoms such as nausea, sensitivity to light and sound, and visual disturbances. Accurate and timely diagnosis of migraines is crucial for effective management and treatment. However, the diverse range of symptoms and overlapping characteristics with other headache disorders pose challenges in the diagnostic process. In this research, we propose the development of an expert system for migraine diagnosis using artificial intelligence and the CLIPS (C (...) Language Integrated Production System) framework. The expert system utilizes a rule-based inference engine to analyze patient-reported symptoms and provide reliable diagnoses or probability scores indicating the likelihood of migraine. The knowledge base of the expert system is designed based on expert knowledge obtained from medical professionals specializing in migraines. The collected knowledge is translated into a structured format suitable for the CLIPS inference engine, incorporating rules and facts to represent the diagnostic criteria and associated symptoms. The system prompts users to provide relevant information about their symptoms, medical history, and potential triggers. It applies the defined rules and facts to evaluate the likelihood of migraine and generate accurate diagnoses or probability scores. Preliminary evaluation results demonstrate the potential of the expert system as a valuable tool for diagnosing migraines. A dataset of anonymized patient records with confirmed migraine cases was used to test the system. The diagnoses generated by the expert system were compared against the known diagnoses, and a high level of accuracy was observed, with 90% of cases correctly diagnosed as migraines. These results highlight the effectiveness and reliability of the system in assisting medical professionals in the diagnosis of migraines. The proposed expert system offers several advantages for migraine diagnosis. It leverages the collective knowledge and expertise of experienced migraine specialists, providing a standardized and consistent approach to diagnosis. The system can handle large amounts of patient data and effectively analyse complex relationships between symptoms, risk factors, and diagnostic criteria. Furthermore, it offers real-time feedback and recommendations, supporting medical professionals in their clinical decision-making process. Future work involves refining the expert system based on feedback from medical experts, expanding the knowledge base to encompass a wider range of symptoms and risk factors, and conducting further evaluations to enhance its accuracy and applicability in clinical settings. The development of an expert system for migraine diagnosis has the potential to improve the diagnostic process, leading to more effective management and treatment strategies for individuals suffering from migraines. (shrink)

This paper shows how to derive nested calculi from labelled calculi for propositional intuitionistic logic and first-order intuitionistic logic with constant domains, thus connecting the general results for labelled calculi with the more refined formalism of nested sequents. The extraction of nested calculi from labelled calculi obtains via considerations pertaining to the elimination of structural rules in labelled derivations. Each aspect of the extraction process is motivated and detailed, showing that each nested calculus inherits favorable proof-theoretic properties from its associated (...) labelled calculus. (shrink)

Where Humeans rule out the possibility of material or non-logical necessity, and thus of any associated knowledge a priori, the German legal philosopher Adolf Reinach defends the existence of a wide class of material necessities falling within the domain of what can be known a priori, for example in fields such as color and shape, rational psychology, law and economics. Categories such as promise or claim or obligation are, in Reinach’s view, exist as nodes in a system of necessary (...) relations, so that anyone who has experience of relevant instances of these categories is implicitly aware also of a corresponding family of relations to certain other categories – as for example that every promise implies a mutually correlated claim and obligation. Midway between the two extremes of Hume and Reinach stands Searle, who accepts necessary relations of the mentioned sorts, but sees them as human creations, following from ‘constitutive rules’ analogous to the rules of chess. We seek to demonstrate that Searle does not occupy a stable and acceptable half-way house between Hume and Reinach; that he, too, if he is to do justice to the very constitutive rules which form the center of his approach, must on pain of circularity embrace something like the Reinachian position. (shrink)

According to the deliberative view of democracy, the legitimacy of democratic politics is closely tied to whether the use of political power is accompanied by a process of rational deliberation among the citizenry and their representatives. Critics have questioned whether this level of deliberative capacity is even possible among modern citizenries--due to limitations of time, energy, and differential backgrounds--which therefore calls into question the very possibility of this type of democracy. In my dissertation, I counter this line of criticism, arguing (...) that deliberative democrats and their critics have both idealized the wrong kind of citizen deliberation. Citizen deliberation should not be concerned with the indeterminate project of "translating" abstract democratic principles and values into everyday cases of political problem-solving. Instead, deliberation should take the form of analogy, just as we already find it in everyday politics and affairs. When ordinary citizens use analogies, they do not derive decisions from general principles or values, but they still reason nonetheless. Seen from this analogical perspective, deliberative democracy is already a practical reality to a large degree. When an election is on the horizon, a campaign season arises in which debates, forums, and "barstool" dialogues exponentially increase the amount of citizen deliberation. In these settings, citizens can readily be seen to be mapping analogous past candidates, elections, issues, and problems onto those currently on the ballot so as to reason about them. Consequently, analogical reasoning allows citizens to treat the majority rule mechanisms that proliferate in real politics as "deliberative outlets," which is to say, as catalysts of deliberation akin to the "creative outlets" that catalyze self-expression in the arts. While citizens may recognize majority rule mechanisms as catalysts of deliberation, many democratic theorists will hesitate to embrace this vision of the practical reality of deliberative politics. Isn't analogical reasoning too low in rigor to be placed at the heart of the deliberative ideal? I develop two arguments to explain the foundational role analogy plays in deliberation and to counter such critics. First, I draw on the explosion of research on analogical reasoning over the past two decades to show that it is far more rigorous and systematic than many suppose. Second, I argue that to the extent that citizen deliberation is concerned with rational planning, rather than just reasoning in general, analogical reasoning is logically superior. When we reason about what to do, we make plans that incorporate predictions about what is likely to ensue when a given course of action is selected. However, as soon as predictions enter into deliberation, its underlying logic changes as well. The reason for this change in logic is that as our probabilistic reasoning expands, the probability of its conclusions degenerates. Therefore, when assessing probabilities, we no longer should seek decisions derived from long, elegant chains of reasoning that connect our various options to generalities like values and principles. Instead, what we need is "short and sweet," or terse, humble lines of reasoning, which are more congruent with this form of deliberation. Thus, to the extent that democratic deliberation is involved in rational planning, it calls not for the elegant, deductive kind of reasoning idealized by proponents and critics of deliberative democracy alike. Instead, democratic deliberation calls for the "short and sweet," analogical kind of decision-making we associate with ordinary citizens already. After all, as research has shown, analogies are a much preferred and rigorous way by which even experts engage in probabilistic reasoning. By focusing on analogical reasoning, I therefore conclude that the practical reality of deliberative democracy should be recognized in ways that might ordinarily be dismissed. (shrink)

The standard rule of single privative modification replaces privative modifiers by Boolean negation. This rule is valid, for sure, but also simplistic. If an individual a instantiates the privatively modified property (MF) then it is true that a instantiates the property of not being an F, but the rule fails to express the fact that the properties (MF) and F have something in common. We replace Boolean negation by property negation, enabling us to operate on contrary rather (...) than contradictory properties. To this end, we apply our theory of intensional essentialism, which operates on properties (intensions) rather than their extensions. We argue that each property F is necessarily associated with an essence, which is the set of the so-called requisites of F that jointly define F. Privation deprives F of some but not all of its requisites, replacing them by their contradictories. We show that properties formed from iterated privatives, such as being an imaginary fake banknote, give rise to a trifurcation of cases between returning to the original root property or to a property contrary to it or being semantically undecidable for want of further information. In order to determine which of the three forks the bearers of particular instances of multiply modified properties land upon we must examine the requisites, both of unmodified and modified properties. Requisites underpin our presuppositional theory of positive predication. Whereas privation is about being deprived of certain properties, the assignment of requisites to properties makes positive predication possible, which is the predication of properties the bearers must have because they have a certain property formed by means of privation. (shrink)

It is common to distinguish two great families of representation. Symbolic representations include logical and mathematical symbols, words, and complex linguistic expressions. Iconic representations include dials, diagrams, maps, pictures, 3-dimensional models, and depictive gestures. This essay describes and motivates a new way of distinguishing iconic from symbolic representation. It locates the difference not in the signs themselves, nor in the contents they express, but in the semantic rules by which signs are associated with contents. The two kinds of rule (...) have divergent forms, occupying opposite poles on a spectrum of naturalness. Symbolic rules are composed entirely of primitive juxtapositions of sign types with contents, while iconic rules determine contents entirely by uniform natural relations with sign types. This distinction is marked explicitly in the formal semantics of familiar sign systems, both for atomic first-order representations, like words, pixel colors, and dials, and for complex second-order representations, like sentences, diagrams, and pictures. (shrink)

It would be good to have a Bayesian decision theory that assesses our decisions and thinking according to everyday standards of rationality — standards that do not require logical omniscience (Garber 1983, Hacking 1967). To that end we develop a “fragmented” decision theory in which a single state of mind is represented by a family of credence functions, each associated with a distinct choice condition (Lewis 1982, Stalnaker 1984). The theory imposes a local coherence assumption guaranteeing that as an agent's (...) attention shifts, successive batches of "obvious" logical information become available to her. A rule of expected utility maximization can then be applied to the decision of what to attend to next during a train of thought. On the resulting theory, rationality requires ordinary agents to be logically competent and to often engage in trains of thought that increase the unification of their states of mind. But rationality does not require ordinary agents to be logically omniscient. (shrink)

This is a response to the nine commentaries on our target article “Unlimited Associative Learning: A primer and some predictions”. Our responses are organized by theme rather than by author. We present a minimal functional architecture for Unlimited Associative Learning that aims to tie to together the list of capacities presented in the target article. We explain why we discount higher-order thought theories of consciousness. We respond to the criticism that we have overplayed the importance of learning and underplayed the (...) importance of spatial modelling. We decline the invitation to add a negative marker to our proposed positive marker so as to rule out consciousness in plants, but we nonetheless maintain that there is no positive evidence of consciousness in plants. We close by discussing how UAL relates to development and to its material substrate. (shrink)

En este documento se despliega todas las distributividades y asociatividades posibles de construir en el formato tradicional de la lógica bivaluada, asimismo se presenta el valor que resulta de efectuar dichas operaciones de distributividad y asociatividad, sean o no tautológicas a través del operador de la equivalencia lógica. El valor resultante de realizar una operación de distributividad o asociatividad se expresa como el código binario de su columna veritativo-funcional, presentado en base decimal.

Reichenbachian approaches to indexicality contend that indexicals are "token-reflexives": semantic rules associated with any given indexical-type determine the truth-conditional import of properly produced tokens of that type relative to certain relational properties of those tokens. Such a view may be understood as sharing the main tenets of Kaplan's well-known theory regarding content, or truth-conditions, but differs from it regarding the nature of the linguistic meaning of indexicals and also regarding the bearers of truth-conditional import and truth-conditions. Kaplan has criticized these (...) approaches on different counts, the most damaging of which is that they make impossible a "logic of demonstratives". The reason for this is that the token-reflexive approach entails that not two tokens of the same sentential type including indexicals are guaranteed to have the same truth-conditions. In this paper I rebut this and other criticisms of the Reichenbachian approach. Additionally, I point out that Kaplan's original theory of "true demonstratives" is empirically inadequate, and claim that any modification capable of accurately handling the linguistic data would have similar problems to those attributed to the Reichenbachian approach. This is intended to show that the difficulties, no matter how real, are not caused by idiosincracies of the "token-reflexive" view, but by deep facts about indexicality. (shrink)

The paper discusses an objection, put forward by - among others - John McDowell, to Kripke’s Wittgenstein’s non-factualist and relativist view of semantic discourse. The objection goes roughly as follows: while it is usually possible to be a relativist about a given domain of discourse without being a relativist about anything else, relativism about semantic discourse entails global relativism, which in turn entails subjective idealism, which we can reasonably assume to be false. The paper’s first section sketches Kripke’s Wittgenstein’s ideas (...) about semantic discourse and gives a fully explicit formulation of the objection. The second section describes and briefly discusses the formal apparatus needed to evaluate the objection - which is basically equivalent to John MacFarlane’s recent development of David Kaplan’s classic semantic framework. Finally, the third section explains in detail why the objection fails. I show that even though relativism about semantic discourse does entail a form of global relativism, the relativism in question does not entail anything like Berkeleyan or Fichtean idealism. This particular kind of relativism holds that which character (in Kaplan’s sense) is associated to a given utterance depends on what MacFarlane calls “the context of assessment”. (shrink)

This paper argues that proper functions are proximal functions. In other words, it rejects the notion that there are distal biological functions – strictly speaking, distal functions are not functions at all, but simply beneficial effects normally associated with a trait performing its function. Once we rule out distal functions, two further positions become available: dysfunctions are simply failures of proper function, and pathological conditions are dysfunctions. Although elegant and seemingly intuitive, this simple view has had surprisingly little uptake (...) in the literature. Indeed, our position departs from that of almost every theorist who has engaged with the issue at any depth. We start by presenting three arguments for the position that proper functions are proximal: one from the specificity of functions, one from their relation to intervention, and one from their relation to pathology. We then consider two case studies evidencing the trouble that accepting distal functions causes for philosophical reflection on the nature of pathological conditions. Finally, we anticipate and respond to three objections: that there can be failure of function without dysfunction; that our account is unacceptably revisionary in respect of normal function-talk; and that our thesis over-generalises from a narrow set of cases. (shrink)

This paper discusses varieties of normative phenomena, ranging from morality, to epistemic justification, to the rules of chess. It canvases a number of distinctions among these different normative phenomena. The most significant distinction is between formal and authoritative normativity. The prior is the normativity exhibited by any standard one can meet or fail to meet. The latter is the sort of normativity associated with phenomena like the "all-things-considered" ought. The paper ends with a brief discussion of reasons for skepticism about (...) authoritative normativity. (shrink)

Deductive inference is usually regarded as being “tautological” or “analytical”: the information conveyed by the conclusion is contained in the information conveyed by the premises. This idea, however, clashes with the undecidability of first-order logic and with the (likely) intractability of Boolean logic. In this article, we address the problem both from the semantic and the proof-theoretical point of view. We propose a hierarchy of propositional logics that are all tractable (i.e. decidable in polynomial time), although by means of growing (...) computational resources, and converge towards classical propositional logic. The underlying claim is that this hierarchy can be used to represent increasing levels of “depth” or “informativeness” of Boolean reasoning. Special attention is paid to the most basic logic in this hierarchy, the pure “intelim logic”, which satisfies all the requirements of a natural deduction system (allowing both introduction and elimination rules for each logical operator) while admitting of a feasible (quadratic) decision procedure. We argue that this logic is “analytic” in a particularly strict sense, in that it rules out any use of “virtual information”, which is chiefly responsible for the combinatorial explosion of standard classical systems. As a result, analyticity and tractability are reconciled and growing degrees of computational complexity are associated with the depth at which the use of virtual information is allowed. (shrink)

Creativity has been associated with cognitive and behavioural disinhibitory processes (Martindale, 1999; Carson, 2014). Nevertheless, inhibitory mental processes are not only fundamental to rational behaviours but also socially adaptive practices. Hence, the promotion of creativity must overcome the limits imposed by socialization. An undue imbalance of both domains will tense both processes. This notion cannot be reviewed without considering ab initio our construction of the concept of ‘freedom’ or, more accurately, of our ‘degrees of freedom’ (Colombo, 2013) and our self-awareness (...) of the construction of inhibitory codes and rules in our socialization process. It is a process that this author finds too close to domestication and fencing creativeness. This book has been inspired by the multiple sources of evidence imposing on vast segments of our world community a cognitive deprivation on the construction of identity, the access to critical knowledge, and the construction and expression of the creative potential (Colombo, 2007, 2015). Also, it is dangerous to build up a segmented or balkanized humanity as opposed to a globalized one, based on limited or no access to fundamental human values and needs, as well as to critical knowledge and information. Cultural banalization, poverty/indigence/marginalization of vast populations, social prejudices and privileges, and a prevalence of financial, ideological, and religious fundamentalisms are at the base of such unethical and counter-evolutive, regressive engines (Colombo 2010, 2013, 2015). These represent the instruments for domestication and suffocation of the species’ creative potential, which pave the road towards the emergence of fundamentalisms and the surrender of identity. (shrink)

Fictional names present unique challenges for semantic theories of proper names, challenges strong enough to warrant an account of names different from the standard treatment. The theory developed in this paper is motivated by a puzzle that depends on four assumptions: our intuitive assessment of the truth values of certain sentences, the most straightforward treatment of their syntactic structure, semantic compositionality, and metaphysical scruples strong enough to rule out fictional entities, at least. It is shown that these four assumptions, (...) taken together, are inconsistent with referentialism, the common view that names are uniformly associated with ordinary individuals as their semantic value. Instead, the view presented here interprets names as context-sensitive expressions, associated in a context of utterance with a particular act of introduction, or dubbing, which is then used to determine their semantic value. Some dubbings are referential, which associate names with ordinary individuals as their semantic values; others are fictional, which associate names, instead, with sets of properties. Since the semantic values of names can be of different sorts, the semantic rule interpreting predication must be complex as well. In the body of the paper, I show how this new treatment of names allows us to solve our original puzzle. I defend the complexity of the semantic predication rule, and address additional worries about ontological commitment. (shrink)

For deductive reasoning to be justified, it must be guaranteed to preserve truth from premises to conclusion; and for it to be useful to us, it must be capable of informing us of something. How can we capture this notion of information content, whilst respecting the fact that the content of the premises, if true, already secures the truth of the conclusion? This is the problem I address here. I begin by considering and rejecting several accounts of informational content. I (...) then develop an account on which informational contents are indeterminate in their membership. This allows there to be cases in which it is indeterminate whether a given deduction is informative. Nevertheless, on the picture I present, there are determinate cases of informative (and determinate cases of uninformative) inferences. I argue that the model I offer is the best way for an account of content to respect the meaning of the logical constants and the inference rules associated with them without collapsing into a classical picture of content, unable to account for informative deductive inferences. (shrink)

Various philosophers have wanted to move from a (P.F.) “Strawsonian” understanding of the “practices of moral responsibility” to a non-skeptical result. I focus on a strategy moving from a “response-dependent” theory of responsibility. I aim to show that a key analogy associated with this strategy fails to support a compatibilist result. It seems clear that nothing could show that nothing we have been laughing at has really been funny. If “the funny” is similar to “the blameworthy”, then perhaps it would (...) follow that nothing could show that no one we have ever blamed has really been blameworthy. The comparison is interesting, but inconclusive: even if we grant that these properties are normatively similar, the latter has substantive empirical presuppositions, whereas the former does not. One important upshot: even if the standards operative in our practices cannot be mistaken, it could nevertheless be that no one has ever met these standards Ruling out this possibility seemingly requires re-engaging in all of the so-called "metaphysical" debates Strawsonians are keen to avoid. (shrink)

Animal-derived constituents are frequently used in anaesthesia and surgery, and patients are seldom informed of this. This is problematic for a growing minority of patients who may have religious or secular concerns about their use in their care. It is not currently common practice to inform patients about the use of animal-derived constituents, yet what little empirical data does exist indicates that many patients want the opportunity to give their informed consent. First, we review the nature and scale of the (...) problem by looking at the groups who may have concerns about the use of animal-derived constituents in their care. We then summarise some of the products used in anaesthesia and surgery that can contain such constituents, such as anaesthetic drugs, surgical implants and dressings. Finally, we explore the problem of animal-derived constituents and consent using Beauchamp and Childress’ four principles approach, examining issues of autonomy, beneficence, nonmaleficence and justice. Disclosing the use of animal-derived constituents in anaesthesia and surgery is warranted under Beauchamp and Childress’ four principles approach to the problem. Although there exist systemic and practical challenges to implementing this in practice, the ethical case for doing so is strong. The Montgomery ruling presents additional legal reason for disclosure because it entails that patients must be made aware of risks associated with their treatment that they attach significance to. (shrink)