This paper compares several models of formalization. It articulates criteria of correct formalization and identifies their problems. All of the discussed criteria are so called “semantic” criteria, which refer to the interpretation of logical formulas. However, as will be shown, different versions of an implicitly applied or explicitly stated criterion of correctness depend on different understandings of “interpretation” in this context.

Formalizations in first-order logic are standardly used to represent logical forms of sentences and to show the validity of ordinary-language arguments. Since every sentence admits of a variety of formalizations, a challenge arises: why should one valid formalization suffice to show validity even if there are other, invalid, formalizations? This paper suggests an explanation with reference to criteria of adequacy which ensure that formalizations are related in a hierarchy of more or less specific formalizations. This proposal is then (...) compared with stronger criteria and assumptions, especially the idea that sentences essentially have just one logical form. (shrink)

This paper attempts to illustrate a process of analysis that will hopefully open a path to more complete and useful definitions of sign and symbol. It applies a form-content analysis to the metaphysical properties of these two concepts. The objective is to locate criteria necessary and sufficient to derive formal definitions for these terms. Wittgenstein’s concept of “forms of representation” is analyzed and applied to the topic. Criteria are outlined that determine the appropriateness of the sign and symbol (...) to be applied as labels. Criteria of definition are then developed using gesture, metaphor, and several other example types to illustrate the use of the criteria in distinguishing between sign and symbol. The structural organization of these two concepts proved to be especially complex and led to what some readers may find somewhat obscure. It is not our intention to be purposefully obscure. (shrink)

This paper proposes a formal account of AI trustworthiness, connecting both intrinsic and perceived trustworthiness in an operational schematization. We argue that trustworthiness extends beyond the inherent capabilities of an AI system to include significant influences from observers' perceptions, such as perceived transparency, agency locus, and human oversight. While the concept of perceived trustworthiness is discussed in the literature, few attempts have been made to connect it with the intrinsic trustworthiness of AI systems. Our analysis introduces a novel schematization to (...) quantify trustworthiness by assessing the discrepancies between expected and observed behaviors and how these affect perceived uncertainty and trust. The paper provides a formalization for measuring trustworthiness, taking into account both perceived and intrinsic characteristics. By detailing the factors that influence trust, this study aims to foster more ethical and widely accepted AI technologies, ensuring they meet both functional and ethical criteria. (shrink)

The purpose of this introduction is to give a rough overview of the discussion of the formalization of arguments, focusing on deductive arguments. The discussion is structured around four important junctions: i) the notion of support, which captures the relation between the conclusion and premises of an argument, ii) the choice of a formal language into which the argument is translated in order to make it amenable to evaluation via formal methods, iii) the question of quality criteria for (...) such formalizations, and finally iv) the choice of the underlying logic. This introductory discussion is supplemented by a brief description of the genesis of the special issue, acknowledgements, and summaries of each article. (shrink)

It is one thing for a given proposition to follow or to not follow from a given set of propositions and it is quite another thing for it to be shown either that the given proposition follows or that it does not follow.* Using a formal deduction to show that a conclusion follows and using a countermodel to show that a conclusion does not follow are both traditional practices recognized by Aristotle and used down through the history of logic. These (...) practices presuppose, respectively, a criterion of validity and a criterion of invalidity each of which has been extended and refined by modern logicians: deductions are studied in formal syntax (proof theory) and coun¬termodels are studied in formal semantics (model theory). The purpose of this paper is to compare these two criteria to the corresponding criteria employed in Boole’s first logical work, The Mathematical Analysis of Logic (1847). In particular, this paper presents a detailed study of the relevant metalogical passages and an analysis of Boole’s symbolic derivations. It is well known, of course, that Boole’s logical analysis of compound terms (involving ‘not’, ‘and’, ‘or’, ‘except’, etc.) contributed to the enlargement of the class of propositions and arguments formally treatable in logic. The present study shows, in addition, that Boole made significant contributions to the study of deduc¬tive reasoning. He identified the role of logical axioms (as opposed to inference rules) in formal deductions, he conceived of the idea of an axiomatic deductive sys¬tem (which yields logical truths by itself and which yields consequences when ap¬plied to arbitrary premises). Nevertheless, surprisingly, Boole’s attempt to imple¬ment his idea of an axiomatic deductive system involved striking omissions: Boole does not use his own formal deductions to establish validity. Boole does give symbolic derivations, several of which are vitiated by “Boole’s Solutions Fallacy”: the fallacy of supposing that a solution to an equation is necessarily a logical consequence of the equation. This fallacy seems to have led Boole to confuse equational calculi (i.e., methods for gen-erating solutions) with deduction procedures (i.e., methods for generating consequences). The methodological confusion is closely related to the fact, shown in detail below, that Boole had adopted an unsound criterion of validity. It is also shown that Boole totally ignored the countermodel criterion of invalid¬ity. Careful examination of the text does not reveal with certainty a test for invalidity which was adopted by Boole. However, we have isolated a test that he seems to use in this way and we show that this test is ineffectual in the sense that it does not serve to identify invalid arguments. We go beyond the simple goal stated above. Besides comparing Boole’s earliest criteria of validity and invalidity with those traditionally (and still generally) employed, this paper also investigates the framework and details of THE MATHEMATICAL ANALYSIS OF LOGIC. (shrink)

Genera, typically hand-in-hand with their branching species, are essential elements of vocabulary-based information constructs, in particular scientific taxonomies. Should they also feature in formal ontologies, the highest of such constructs? I argue in this article that the answer is “Yes” and that the question posed in its title also has a Yes-answer: The way medieval ontologists sliced up the world into genera does matter to formal ontology. More specifically, the way Dietrich of Freiberg, a Latin scholastic, conceived and applied strictly (...) generic criteria to slice up the world into its entities can provide some guidelines to the field of formal ontology with respect to not only its contents, but also its scope. In particular, Dietrich's information criterion plays here a central role. (shrink)

Aims: The Research Diagnostic Criteria for Temporomandi¬bular Disorders (RDC/TMD) Axis I diagnostic algorithms were demonstrated to be reliable but below target sensitivity and specificity. Empirical data supported Axis I algorithm revisions that were valid. Axis II instruments were shown to be both reliable and valid. An international consensus workshop was convened to obtain recommendations and finalization of new Axis I diagnostic algorithms and new Axis II instruments. Methods: A comprehensive search of published TMD diagnostic literature was followed by review (...) and consensus via a formal structured process by a panel of experts for revision of the RDC/TMD. Results: The recommended Diagnostic Criteria for TMD (DC/TMD) Axis I protocol includes both a valid screener for pain diagnoses and valid criteria for the most common pain-related TMDs and for one intra-articular disorder. The Axis II protocol retains selected RDC/TMD screening instruments augmented with new instruments to better assess the interactions between pain and psychosocial functioning. A comprehensive classification system is also presented. Conclusion: The recommended evidence-based DC/TMD protocol is appropriate for use in both the clinical and research settings. Simple Axis I and II screening tests augmented by validated Axis I and Axis II instruments allow for identification of simple to complex TMD patients. (shrink)

We present a formal mechanical analysis using sweeping net methods to approximate surfacing singularities of saddle maps. By constructing densified sweeping subnets for individual vertices and integrating them, we create a comprehensive approximation of singularities. This approach utilizes geometric concepts, analytical methods, and theorems that demonstrate the robustness and stability of the nets under perturbations. Through detailed proofs and visualizations, we provide a new perspective on singularities and their approximations in analytic geometry.

In this paper we introduce some logical and philosophical refinements to OntoClean, first by developing some formal constraints on identity criteria, secondly by specifying a kind of identity criteria, two level identity criteria, whose role is to explain an identity among some entities referring to some other, more basic, entities. Using such refinement we add a formal constraint to the stock of OntoClean meta-constraints (OC+). We, then, observe that two level identity criteria have an intuitive reading (...) in terms of dependence of a kind of entities on some other entities, possibly specified in terms of a grounding relation. Are identity criteria grounding principles? In the second part of the paper we discuss this option. (shrink)

What one is ultimately interested in with regard to ‘just cause’ is whether a specific war, actual or potential, is justified. I call this ‘the applied question’. Answering this question requires knowing the empirical facts on the ground. However, an answer to the applied question regarding a specific war requires a prior answer to some more general questions, both descriptive and normative. These questions are: What kind of thing is a ‘just cause’ for war (an aim, an injury or wrong (...) suffered, or something different altogether)? I call this ‘the formal question’. Then there is what I call the ‘the general substantive question’. Depending on the previous answer to the formal question, the general substantive question can be formulated as: ‘Which causes are just?’ or as ‘Under what conditions is there a just cause?’ A final question, which has recently elicited increased interest, is what I call ‘the question of timing’: does the ‘just cause’ criterion only apply to the initiation of a war or also to the continuation of a war, that is, can a war that had a just cause at the beginning lose it at some point in its course (and vice versa)? I argue that a just cause is a state of affairs. Moreover, the criterion of just cause is not independent of proportionality and other valid jus ad bellum criteria. One cannot know whether there is a just cause without knowing whether the other (valid) criteria (apart from ‘right intention’) are satisfied; and this account has certain theoretical and practical advantages. As regards the general substantive question, I argue that all kinds of aims can, in principle, be legitimately pursued by means of war, even aims that might sound dubious at first, like vengeance or the search for glory. Thus, the pursuit of such aims does not make the war disproportionate or deprive it of just cause. As regards the question of timing, I argue that the criteria of jus ad bellum apply throughout the war, not only at the point of its initiation. While starting a war at t1 might be justified, continuing it at time t2 might be unjustified (and vice versa), and this insight does not require an addition to jus ad bellum but is already contained in it. (shrink)

Formal criteria of theoretical equivalence are mathematical mappings between specific sorts of mathematical objects, notably including those objects used in mathematical physics. Proponents of formal criteria claim that results involving these criteria have implications that extend beyond pure mathematics. For instance, they claim that formal criteria bear on the project of using our best mathematical physics as a guide to what the world is like, and also have deflationary implications for various debates in the metaphysics of (...) physics. In this paper, I investigate whether there is a defensible view according to which formal criteria have significant non-mathematical implications, of these sorts or any other, reaching a chiefly negative verdict. Along the way, I discuss various foundational issues concerning how we use mathematical objects to describe the world when doing physics, and how this practice should inform metaphysics. I diagnose the prominence of formal criteria as stemming from contentious views on these foundational issues, and endeavor to motivate some alternative views in their stead. (shrink)

Criteria of acceptability for mathematical proofs are field-dependent. In topology, though not in most other domains, it is sometimes acceptable to appeal to visual intuition to support inferential steps. In previous work :829–842, 2014; Lolli, Panza, Venturi From logic to practice, Springer, Berlin, 2015; Larvor Mathematical cultures, Springer, Berlin, 2016) my co-author and I aimed at spelling out how topological proofs work on their own terms, without appealing to formal proofs which might be associated with them. In this article, (...) I address two criticisms that have been raised in Tatton-Brown against our approach: that it leads to a form of relativism according to which validity is equated with social agreement and that it implies an antiformalizability thesis according to which it is not the case that all rigorous mathematical proofs can be formalized. I reject both criticisms and suggest that our previous case studies provide insight into the plausibility of two related but quite different theses. (shrink)

We are on Mars again – the favourite laboratory for philosophical experiments. Our host colleagues introduce us to some Martian stuff referred to as “T”, and ask us to help them to identify T on other possible worlds. Or, technically speaking, we are asked to determine the intension of “T”, i.e., what the term designates with respect to different possible worlds. Following a short series of experiments on the planet, we conclude that the intension of “T” depends upon three factors: (...) (1) The semantic rule linked with the term, i.e., the way in which the term is designed to pick out its referent with respect to different possible worlds (e.g., as a definite description, or as a proper name, or as an actualised description etc.); (2) The properties of the referent of “T” in the actual world; and, (3) What we shall call ‘the metaphysical background of the universe’, i.e., what counts as a thing vs. what counts as a property of things (e.g., whether the universe is such that it contains material objects that merely happen to have their manifest properties, or whether the universe primarily contains manifest objects that merely happen to have their material constitution). As our experiments show, changing the values of any of these variables will result in a change in the reference of the term with respect to different possible worlds, viz., it will result in a change in the intension of the term. We then demonstrate how the three variables are interrelated, and specify how exactly they combine to produce a particular intension of a term. We conclude with a general “formula” that determines what will deserve to be called “T” relative to the different values of the above variables, i.e., we come up with a calculator of intensions. Finally, we also draw some morals about rigidity. (shrink)

Leibniz has long faced a challenge about the coherence of the distinction between necessary and contingent truths in his philosophy. In this paper, I propose and examine a new way to save genuine contingency within a Leibnizian framework. I conclude that it succeeds in formally solving the problem, but at unbearable cost. I present Leibniz’s challenge by considering God’s choice of the best possible world (Sect. 2). God necessarily exists and necessarily chooses to actualise the best possible world. The actual (...) world therefore could not be different, for if it were different it would be a distinct and inferior world and hence would not be created. In Sect. 3 I defend Leibniz from this challenge. I argue that while it is necessary for God to choose to create the best possible world, it is not necessary for any world to be the best possible. This is because the criterion for judging perfection can itself be contingent. Different criteria will judge different worlds as the best. Thus it is necessary for God to create the best, but not necessary which is the best. Distinguishing between possible worlds in Leibniz’s sense and in the modern sense allows a fuller exposition of this position. There are worries that can arise with the claim that the criterion of perfection is contingent. I consider two of the most pressing (Sect. 4). The first argues that the criterion is in God’s understanding and hence is necessary; the second alleges that a contingent criterion of perfection violates Leibniz’s cherished Principle of Sufficient Reason. These worries are well-grounded, and examining them reveals a deep incompatibility between this solution and Leibniz’s metaphysical views. I conclude that there is a real solution available, but that it is unacceptable to Leibniz or a Leibnizian. The search for a genuine solution that is genuinely Leibnizian goes on. (shrink)

This paper offers a probabilistic treatment of the conditions for argument cogency as endorsed in informal logic: acceptability, relevance, and sufficiency. Treating a natural language argument as a reason-claim-complex, our analysis identifies content features of defeasible argument on which the RSA conditions depend, namely: change in the commitment to the reason, the reason’s sensitivity and selectivity to the claim, one’s prior commitment to the claim, and the contextually determined thresholds of acceptability for reasons and for claims. Results contrast with, and (...) may indeed serve to correct, the informal understanding and applications of the RSA criteria concerning their conceptual dependence, their function as update-thresholds, and their status as obligatory rather than permissive norms, but also show how these formal and informal normative approachs can in fact align. (shrink)

Exactly how do the sign/symbol/token systems of endo- and exo-biosemiosis differ from those of cognitive semiosis? Do the biological messages that integrate metabolism have conceptual meaning? Semantic information has two subsets: Descriptive and Prescriptive. Prescriptive information instructs or directly produces nontrivial function. In cognitive semiosis, prescriptive information requires anticipation and “choice with intent” at bona fide decision nodes. Prescriptive information either tells us what choices to make, or it is a recordation of wise choices already made. Symbol systems allow recordation (...) of deliberate choices and the transmission of linear digital prescriptive information. Formal symbol selection can be instantiated into physicality using physical symbol vehicles (tokens). Material symbol systems (MSS) formally assign representational meaning to physical objects. Even verbal semiosis instantiates meaning into physical sound waves using an MSS. Formal function can also be incorporated into physicality through the use of dynamically-inert (dynamically-incoherent or -decoupled) configurable switch-settings in conceptual circuits. This paper examines the degree to which biosemiosis conforms to the essential formal criteria of prescriptive semiosis and cybernetic management. (shrink)

The introspective devices framework proposed by Kammerer and Frankish (this issue) offers an attractive conceptual tool for evaluating and developing accounts of introspection. However, the framework assumes that different views about the nature of introspection can be easily evaluated against a set of common criteria. In this paper, I set out to test this assumption by analysing two formal models of introspection using the introspective device framework. The question I aim to answer is not only whether models developed outside (...) of philosophy can be successfully evaluated against the set of conceptual criteria proposed by Kammerer and Frankish, but also whether this kind of evaluation can reveal some limitations inherent to the framework. (shrink)

I am arguing that it is only by concentrating on the role of models in theory construction, interpretation and change, that one can study the progress of science sensibly. I define the level at which these models operate as a level above the purely empirical (consisting of various systems in reality) but also indeed below that of the fundamental formal theories (expressed linguistically). The essentially multi-interpretability of the theory at the general, abstract linguistic level, implies that it can potentially make (...) claims about systems in reality, other than the particular one which originally induced it. Any so-called correspondence relation between (systems in) reality and the entities and relations in some scientific theory, thus consists of two jumps or interpretations: from the theory (linguistic level) to some model of it (constructural level); and from there to some system in reality. Clearly then the level of fundamental theories cannot be ignored la Nancy Cartwright - in studying the relations between a theory and reality, because the particular features of the theory (the various systems in reality onto which the theory can be mapped) cannot be studied without the underlying knowledge that these systems have one common feature, namely that each of them is the range (or other pole) of a mapping of a context-specific model of the theory - which in itself, is a mapping, or more specifically, an interpretation of the theory. I am also claiming that the nature of these levels and the relations between them necessitate an epistemological rather than an ontological notion of truth criteria, and a referential rather than a representational link between science and reality. (shrink)

Without directly addressing the Demarcation Problem for logic—the problem of distinguishing logical vocabulary from others—we focus on distinctive aspects of logical vocabulary in pursuit of a second goal in the philosophy of logic, namely, proposing criteria for the justification of logical rules. Our preferred approach has three components. Two of these are effectively Belnap’s, but with a twist. We agree with Belnap’s response to Prior’s challenge to inferentialist characterisations of the meanings of logical constants. Belnap argued that for a (...) logical constant to exist, its rules must be conservative over a previously given consequence relation and guarantee the uniqueness of the constant. The twist is that we require logical vocabulary to be provably conservative, not over a previously given formal consequence relation, but over a previously given meaningful vocabulary of a language. Uniqueness is also a feature defined in terms of provability: if two syntactically distinguished expressions are governed by the same rules, then formulas with them as main operators are interderivable. Belnap’s criteria are not only those for the existence of a logical constant, but more: they are what distinguishes logical vocabulary from all other expressions. It is the defining mark of a logical constant that it is provably conservative over the fragment of the language which excludes it and that its rules guarantee its uniqueness. The third component is the topic neutrality of logic. The provable conservativeness of logic over a previously given vocabulary of a language is motivated, in part, by appeal to molecularism in the theory of meaning. Molecularity is a feature endorsed by the theory of meaning as a whole, so it does not distinguish logical constants from other expressions. The same is true for conservativeness. We argue that molecularity, and hence conservativeness, are implicit presuppositions of speakers’ use of language: the addition of new vocabulary to a language is presupposed to be conservative. But this presupposition is one that we should be able reflectively to endorse (such as when attempting a rational reconstruction of the use of the vocabulary). Thus, where conservativeness is found to fail, this defect should be remedied and the use of the vocabulary corrected (as in classical negation) or excised altogether (as in pejoratives). We go on to characterise a notion of topic neutrality, which we argue applies to logical vocabulary. We then note that reflective endorsement of the conservativeness of a topic neutral vocabulary requires a proof that the vocabulary is conservative relative to any base vocabulary. Thus we require that logical vocabulary be demonstrably conservative. Allying this requirement, distinctive of logic, to a general consideration about the commitments of assertion yields a mode of justification for logical constants akin to some conceptions of Harmony, i.e., to the idea that the consequences of assertion of a logical complex need to be warranted by the grounds and ought to be the strongest consequences warranted by the grounds. Intuitionistic logic acquires a somewhat familiar justification but emanating from a new motivation. (shrink)

The problem of demarcating between what is scientific and what is pseudoscientific or merely unscientific - in other words, the problem of defining scientificity - remains open. The modern debate was firstly structured around Karl Popper's falsificationist epistemology from the 1930's, before diversifying a few decades later. His central idea is that what makes something scientific is not so much how adequate it is with data, but rather to what extent it might not have been so. Since the second half (...) of the century, and in the wake of criticisms, such as the Duhem-Quine thesis, that were raised against falsificationism(s), most approaches to the problem of scientific demarcation are now multicriteria and holistic. However, the approach presented in this paper does not follow the same guideline. The present work can be seen as an attempt to adapt Popper's (sophisticated) falsificationism to a model-based view of scientific knowledge. Using formalization and focusing on a particular epistemic unit of analysis (namely, empirical models) allows to properly define the popperian corroboration degree and to view scientificity as the maximization of this degree of corroboration over all available models and data. We eventually recover, in a natural way, well-accepted scientificity criteria: empirical adequacy, Lakatos' progressive problemshifts, balance between strength and simplicity, parsimony, and coherence as special cases of this general scientificity principle. From this viewpoint, the language dependency of our empirical knowledge no longer appears as a limitation of falsificationism but as one more reason to take it as a good epistemological framework. (shrink)

The branch of philosophical logic which has become known as “belief change” has, in the course of its development, become alienated from its epistemological origins. However, as formal criteria do not suffice to defend a principled choice between competing systems for belief change, we do need to take their epistemological embedding into account. Here, on the basis of a detailed examination of Isaac Levi's epistemology, we argue for a new direction of belief change research and propose to construct systems (...) for belief change that can do without, but do not rule out, selection functions, in order to enable an *empirical* assessment of the relative merits of competing belief change systems. (shrink)

Some philosophers assume that our ordinary parts-whole concepts are intuitive and univocal. Moreover, some assume that mereology—the formal theory of parts-whole relations—adequately captures these intuitive and univocal notions. Lewis, for example, maintains that mereology is “perfectly understood, unproblematic, and certain.” Following his lead, many assume that expressions such as ‘is part of’ are univocal, topic-neutral, and that compositional monism is true. This paper explores the rejection of –. I argue that our ordinary parts-whole expressions are polysemous; they have multiple distinct, (...) but related, interpretations or meanings. I canvass several criteria by which to test for polysemy, and apply these criteria to some of our parts-whole terminology. I also examine some philosophical examples involving abstracta and abstract parts, which give us additional reasons to think that our parts-whole expressions are polysemous and topic-specific. Yet if so, then compositional pluralism is true. (shrink)

This article identifies and formalizes the logical features of analogous terms that justify their use in deduction. After a survey of doctrines in Aristotle, Aquinas, and Cajetan, the criteria of “analogy of proper proportionality” are symbolized in first-order predicate logic. A common genus justifies use of a common term, but does not provide the inferential link required for deduction. Rather, the respective differentiae foster this link through their identical proportion. A natural-language argument by analogy is formalized so as to (...) exhibit these criteria, thereby showing the validity of analogical deduction. (shrink)

In this chapter I will discuss Karl Popper’s notion of metaphysical research programmes (MRPs) and apply it to contemporary cosmology. While Popper was extremely critical of Big Bang cosmology, his work on MRPs provides a potentially fruitful way of understanding the discipline in a different light. I will suggest that while cosmology does fail to meet the criteria Popper sets for a mature science, the standard model of cosmology (also known as ΛCDM) could be seen as an example of (...) a MRP. I will examine the Cosmological Principle as well as the dark matter hypothesis as prospective parts of this MRP. Finally, I will go beyond Popper’s own views and evaluate ΛCDM and its main rival, Modified Newtonian Dynamics (MOND), with the help of two methodological tools: the correspondence principle as formally explicated by E. K. Voishvillo, and Ilkka Niiniluoto’s measures of truthlikeness. The conclusion I will draw from this is that MOND is a viable and in some respects superior alternative to ΛCDM. (shrink)

According to Steiner (1998), in contemporary physics new important discoveries are often obtained by means of strategies which rely on purely formal mathematical considerations. In such discoveries, mathematics seems to have a peculiar and controversial role, which apparently cannot be accounted for by means of standard methodological criteria. M. Gell-Mann and Y. Ne׳eman׳s prediction of the Ω− particle is usually considered a typical example of application of this kind of strategy. According to Bangu (2008), this prediction is apparently based (...) on the employment of a highly controversial principle—what he calls the “reification principle”. Bangu himself takes this principle to be methodologically unjustifiable, but still indispensable to make the prediction logically sound. In the present paper I will offer a new reconstruction of the reasoning that led to this prediction. By means of this reconstruction, I will show that we do not need to postulate any “reificatory” role of mathematics in contemporary physics and I will contextually clarify the representative and heuristic role of mathematics in science. (shrink)

This thesis contributes to a better conceptual understanding of how self-organized control works. I begin by analyzing the control problem and its solution space. I argue that the two prominent solutions offered by classical cognitive science (centralized control with rich commands, e.g., the Fodorian central systems) and embodied cognitive science (distributed control with simple commands, such as the subsumption architecture by Rodney Brooks) are merely two positions in a two-dimensional solution space. I outline two alternative positions: one is distributed control (...) with rich commands, defended by proponents of massive modularity hypothesis; the other is centralized control with simple commands. My goal is to develop a hybrid account that combines aspects of the second alternative position and that of the embodied cognitive science (i.e., centralized and distributed controls with simple commands). Before developing my account, I discuss the virtues and challenges of the first three. This discussion results in a set of criteria for successful neural control mechanisms. Then, I develop my account through analyzing neuroscientific models of decision-making and control with the theoretical lenses provided by formal decision and social choice theories. I contend that neural processes can be productively modeled as a collective of agents, and neural self-organization is analogous to democratic self-governance. In particular, I show that the basal ganglia, a set of subcortical structures, contribute to the production of coherent and intelligent behaviors through implementing “democratic" procedures. Unlike the Fodorian central system—which is a micro-managing “neural commander-in-chief”—the basal ganglia are a “central election commission.” They delegate control of habitual behaviors to other distributed control mechanisms. Yet, when novel problems arise, they engage and determine the result on the basis of simple information (the votes) from across the system with the principles of neurodemocracy, and control with simple commands of inhibition and disinhibition. By actively managing and taking advantage of the wisdom-of-the-crowd effect, these democratic processes enhance the intelligence and coherence of the mind’s final "collective" decisions. I end by defending this account from both philosophical and empirical criticisms and showing that it meets the criteria for successful solution. (shrink)

I submit that epistemic progress in key areas of contemporary academic philosophy has been compromised by politically correct ideology. First, guided by an evolutionary account of ideology, results from social and cognitive psychology and formal philosophical methods, I expose evidence for political bias in contemporary Western academia and sketch a formalization for the contents of beliefs from the PC worldview taken to be of core importance, the theory of social oppression and the thesis of anthropological mental egalitarianism. Then, aided (...) by discussions from contemporary epistemology on epistemic values, I model the problem of epistemic appraisal using the frameworks of multi-objective optimization theory and multi-criteria decision analysis and apply it to politically correct philosophy. I conclude that philosophy guided by politically correct values is bound to produce constructs that are less truth-conducive and that spurious values which are ideologically motivated should be abandoned. Objections to my framework stemming from contextual empiricism, the feminine voice in ethics and political philosophy are considered. I conclude by prescribing the epistemic value of empirical adequacy, the contextual value of political diversity and the moral virtue of moral courage to reverse unwarranted trends in academic philosophy due to PC ideology. (shrink)

The relationship between abstract formal procedures and the activities of actual physical systems has proved to be surprisingly subtle and controversial, and there are a number of competing accounts of when a physical system can be properly said to implement a mathematical formalism and hence perform a computation. I defend an account wherein computational descriptions of physical systems are high-level normative interpretations motivated by our pragmatic concerns. Furthermore, the criteria of utility and success vary according to our diverse purposes (...) and pragmatic goals. Hence there is no independent or uniform fact to the matter, and I advance the ‘anti-realist’ conclusion that computational descriptions of physical systems are not founded upon deep ontological distinctions, but rather upon interest-relative human conventions. Hence physical computation is a ‘conventional’ rather than a ‘natural’ kind. (shrink)

We argue that the mathematization of science should be understood as a normative activity of advocating for a particular methodology with its own criteria for evaluating good research. As a case study, we examine the mathematization of taxonomic classification in systematic biology. We show how mathematization is a normative activity by contrasting its distinctive features in numerical taxonomy in the 1960s with an earlier reform advocated by Ernst Mayr starting in the 1940s. Both Mayr and the numerical taxonomists sought (...) to formalize the work of classification, but Mayr introduced a qualitative formalism based on human judgment for determining the taxonomic rank of populations, while the numerical taxonomists introduced a quantitative formalism based on automated procedures for computing classifications. The key contrast between Mayr and the numerical taxonomists is how they conceptualized the temporal structure of the workflow of classification, specifically where they allowed meta-level discourse about difficulties in producing the classification. (shrink)

In the domain of ontology design as well as in Knowledge Representation, modeling universals is a challenging problem.Most approaches that have addressed this problem rely on Description Logics (DLs) but many difficulties remain, due to under-constrained representation which reduces the inferences that can be drawn and further causes problems in expressiveness. In mathematical logic and program checking, type theories have proved to be appealing but, so far they have not been applied in the formalization of ontologies. To bridge this (...) gap, we present in this paper a theory for representing ontologies in a dependently typed framework which relies on strong formal foundations including both a constructive logic and a functional type system. The language of this theory defines in a precise way what ontological primitives such as classes, relations, properties, etc., and thereof roles, are. The first part of the paper details how these primitives are defined and used within the theory. In a second part, we focus on the formalization of the role primitive. A review of significant role properties leads to the specification of a role profile and most of the remaining work details through numerous examples, how the proposed theory is able to fully satisfy this profile. It is demonstrated that dependent types can model several non-trivial aspects of roles including a formal solution for generalization hierarchies, identity criteria for roles and other contributions. A discussion is given on how the theory is able to cope with many of the constraints inherent in a good role representation. (shrink)

There appears to be few, if any, limits on what sorts of logical connectives can be added to a given logic. One source of potential limitations is the motivating ideology associated with a logic. While extraneous to the logic, the motivating ideology is often important for the development of formal and philosophical work on that logic, as is the case with intuitionistic logic. One family of logics for which the philosophical ideology is important is the family of relevant logics. In (...) this paper, I explore the limits of what a relevant connective is, showing how some basic criteria motivated by the ideology of relevant logicians provide robust limits on potential connectives. These criteria provide some plausible necessary conditions on being a relevant connective. (shrink)

From the traditionalist position on international law, a new form of compact agreement, which cannot be classified as an international treaty in terms of academic framework, had long fueled much of contention in politics, international law, and constitutional law. A growing practice of compact agreement had been natural as corresponding with the global compression of international community and rising aspiration of peace regime on the international relations. The scholars of international law believe that, regardless of whether the President of the (...) United States is an internationalist or an isolationist, the enactment of international law in the 21st century will be based on more pragmatic rather than formal criteria. It is still true whether or not he is willing to accept or escape the international obligations so that we can more realistically share the powers conferred by the Constitution. On the other hand, a constitutional controversy on somewhat mushy yet sophisticated issues on the compact agreements began with the Laurence Tribe's acrimonious criticism in 1990. He argues that a procedure between Congress and the executive branch for the Clinton administration's accession to the North American Free Trade Agreement(NAFTA) is unconstitutional. His criticism pointed out that the NAFTA is unconstitutional since it is contrary to the text and structure of the Constitution. On the other hand, scholars of political science believe that, while a politics is termed as the distribution of values, the new form of compact agreement serves connecting the domestic and international politics as a living organism and must be affirmed from the standpoint of parliamentary politics. The political scientists argue on the necessity and inevitability of a new form of international agreement as pursuant to the nature of political process on informal procedures and parliamentary practices. In respect of the theoretical controversy, the paper is devoted to survey what the new form of compact agreement is, what types we can identify and explore the theoretical contest among the disciplines. As the dealings of paper attempt to touch on the core of scholarly assertions as fundamental and philosophical, the endeavor could inculcate the mind of international lawyers within and outside the government by providing a better framework to understand the specific real-world issues. The perception and rationale for the new form of international agreement should differ varying with their academic disciplines from which their thought stems from. The paper ends with implications within the grand scale of jurisprudence. (shrink)

Theorists of the legal process in common law countries have, in recent years, been preoccupied with hard cases. A hard case occurs where a legal rule or legal rules cannot determine a uniquely correct result when applied to given facts. This paper examines what theorists and law practitioners alike have believed to be a very different kind of case: the clear case. Practising lawyers assure us that clear cases occupy a large percentage of their case load. Professional law teachers design (...) teaching materials and often conduct themselves in the classroom with apparent assurance that most cases in the 'real world' of a law practice are clear cases. The lawyer is presented with material facts and rules which are rid of the difficulties giving rise to hard cases. The facts have been ascertained and proved. The lawyer has been able to sort out the material from the immaterial facts with a much-envied ability to determine the criteria of materiality. He has also discovered the rules and somehow has rejected some and accepted others as legally relevant. The lawyer need only deduce a conclusion by applying the relevant rule to the material facts. Choice, uncertainty, or human frailty enter the picture only when the lawyer makes that final deduction. Consequently, clear cases are supposed to be relatively easy. This Paper questions whether there is more to the competent lawyer's job in clear cases than carrying on the deductive process of applying the relevant rule to the material facts. The primary objective of this essay is to make an argument concerning the issue as to whether there is more to the competent lawyer's job in clear cases than carrying on the deductive process of applying the relevant rule to the material facts. My argument hinges upon what constitutes a properly decided judicial decision. And this, in turn, depends upon the differing conceptions about justice which underlie the activities of courts and legislatures in a democratic state. The Paper then connects those differing conceptions to such concepts as formal justice, substantive justice, liberty, guidance to lawyers, and accountability in the context of clear cases. (shrink)

Inspired by the early Wittgenstein’s concept of nonsense (meaning that which lies beyond the limits of language), we define two different, yet complementary, types of nonsense: formal nonsense and pragmatic nonsense. The simpler notion of formal nonsense is initially defined within Tarski’s semantic theory of truth; the notion of pragmatic nonsense, by its turn, is formulated within the context of the theory of pragmatic truth, also known as quasi-truth, as formalized by da Costa and his collaborators. While an expression will (...) be considered formally nonsensical if the formal criteria required for the assignment of any truth-value (whether true, false, pragmatically true, or pragmatically false) to such sentence are not met, a (well-formed) formula will be considered pragmatically nonsensical if the pragmatic criteria (inscribed within the context of scientific practice) required for the assignment of any truth-value to such sentence are not met. Thus, in the context of the theory of pragmatic truth, any (well-formed) formula of a formal language interpreted on a simple pragmatic structure will be considered pragmatically nonsensical if the set of primary sentences of such structure is not well-built, that is, if it does not include the relevant observational data and/or theoretical results, or if it does include sentences that are inconsistent with such data. (shrink)

ANNOTATION Sardak S.E. Global Regulatory System of Human Resources Development. – Manuscript. Thesis for the Doctor of Economic Science academic degree with major in 08.00.02 – World Economy and international economic relations. – SHEE «Kyiv National Economic University named after Vadym Hetman», Kyiv, 2014. The preconditions and factors of the global economic system with the identified relevant subjects areas and mechanisms of regulation instruments have been investigated. The crucial role of humans in the global economic system as a key factor (...) of production, the main resource, the producer and the consumer of economic and social benefits that are exposed to global threats, problems, challenges, trends and subjects has been confirmed. There have been revealed the causes and consequences of the public institutions transformation under the influence of globalization, which formed a qualitatively new conditions for social and economic development that determine the need for further changes in the areas of conceptual guideline for the management of human resources development, optimization of tasks, state and international institutions activity forms, integration of efforts as for monitoring, planning and forecasting. The modern major instruments and spheres of international cooperation to ensure human development have been determined. The integrated characteristic of human resources and their role in social development both from the standpoint of their use in labour processes and as a medium of civilization and social utility with the help of the categorical classification system organizing and expanding which enables to design and apply the appropriate approaches at all managerial levels have been defined. The necessity and the concept of human resources development in the context of the content of managerial influence identifying (self-development, self-management and external control of development) at different administrative levels that ensures the growth of human capital to the limits of its potential have been analysed. The survey of human activity system aspects in the global world, taking into account the parametrization of the global environment, its structure, management and development have been realized. The formed methodology principles of managerial influence on the development of human resources with scientific schools, hardness degrees, available models, research and providing theoretical and practical implementation peculiarities for groups of countries and territories of the world taken into consideration have been examined. There have been noted civilization and national differences in the forms of managerial influence on the development of human resources, which lead to the formation of human resources development national control systems conditioned by different value public strategic guidelines, especially in relation to social security, education, national management and state migration policy. The current and future requirements for global human resources development which are proposed to be achieved by the development and formalization of global civilizational paradigm of social development due to social coordination interaction have been given. The influence of the institute of state on the human resources development has been evaluated and it has been proved that in the beginning of the XXI century in the global environment the institute of state is the ultimate guarantor of its citizens’ labour ability and vital activity renewal, that makes it the main instrument of managerial influence on human development. The methodology of countries and territories matrix positioning by human development qualitative criteria and population size quantitative parameters which allows to design unified managerial measures as for human resources for similar national economies in the context of global regulatory trends has been proposed. The strategic trends of improvement of human resources development in the national economy, taking into account the differences in the development of human resources in different countries and areas which vary and differ in their focus, content and ways of implementation for such groups. The varying criteria for evaluating the effectiveness of the global impact on human resources development, taking into account the natural, biological, technological, economic, social and management dimensions and the results of human resources development management in social and economic systems at various levels have been revealed. The periodization and the forecast of the global dynamics of human resources development by analyzing and modeling the values of the absolute and relative terms correlation character have been carried out, which enables to make their retrospective and prospective comparison and to find chronological boundaries of qualitatively different periods. The configuration of the human resource development global coordinate system as a set of interrelated principles, components, fields, tools, frameworks, management levels and forms of managerial influence that allows with the help of institutional means to adapt the state of human resources development to a globally varying environment. (shrink)

This paper applies homotopy type theory to formal semantics of natural languages and proposes a new model for the linguistic phenomenon of copredication. Copredication refers to sentences where two predicates which assume different requirements for their arguments are asserted for one single entity, e.g., "the lunch was delicious but took forever". This paper is particularly concerned with copredication sentences with quantification, i.e., cases where the two predicates impose distinct criteria of quantification and individuation, e.g., "Fred picked up and mastered (...) three books." In our solution developed in homotopy type theory and using the rule of existential closure following Heim analysis of indefinites, common nouns are modeled as identifications of their aspects using HoTT identity types, e.g., the common noun book is modeled as identifications of its physical and informational aspects. The previous treatments of copredication in systems of semantics which are based on simple type theory and dependent type theories make the correct predictions but at the expense of ad hoc extensions (e.g., partial functions, dot types and coercive subtyping). The model proposed here, also predicts the correct results but using a conceptually simpler foundation and no ad hoc extensions. (shrink)

A CONSTRUCTIVE CRITIQUE OF THE FOUNDATIONS OF PHILOSOPHY: Abstract of the Ph.D. Dissertation By Ramesh N. Patel June, 1970 -/- Philosophy pursues a rational explication of our understanding, experiences, and values in terms of objective truth and reality. Conspicuously, its view of rationality has been rigid and preconceived. Application of the preconceived reason in the explication of the essential features of our world fails and issues in a network of dialectical tangles. These artificially created tangles pose a unique intellectual challenge, (...) but the perennial failure to resolve them limits the intellectual response of philosophers to remaining caught in the tangles, or to taking intuitively favorable sides, or to simply denouncing the tangles as meaningless. Each is understandable. -/- Superficially, traditional philosophical reason looks like a correct tool for the explication of our world of common sense, but its applications to the world result in logical tangles showing its inadequacy. The philosopher’s faith in such reason ends up in one of two positions: abandoning our world in the interests of such reason, or embodying itself in the world through a special form of reason. Plato took the first and Aristotle took the second position. My analysis shows that Plato failed to explicate the relation between his world of Forms and our world of particulars, and, more importantly, between the Forms and the intuitive reason which grasps them. Aristotle, in my analysis, cannot conceal that the law of noncontradiction is a mere exhortation and has no descriptive necessity with respect to thought, things, or meaning. We also find such dialectical difficulties in Augustine, Hume and Strawson. -/- “Microphilosophical feasibilism” is our proposal for the best treatment, if not the definitive solution, of these problems. Instead of separating philosophical method into logic, epistemology, axiology, and metaphysics on the one side, and partitioning the projected results of philosophizing into validity, truth, valuation, and reality on the other, we need to start philosophizing with a general distinction between “method employed” and “intended result.” This distinction is not pre-colored by claims to ultimate verities. It is a direct aid to understanding. I consider the basic inevitable paradox that a philosopher should explain not only our understanding of experience but also his philosophizing itself. The circularity between “method employed” and “intended result” needs to be admitted as an initial fact about reason rather than circumvented by an implausibly claimed capacity of philosophical reason to formally transcend everything including this circularity. -/- Presuppositions are reduced to a minimum inevitable number. Being our primary microphilosophical criteria, they are reason, experience, and value in their minimal sense. They cannot be plausibly substituted or further reduced. They cannot be preferred one or more to others arbitrarily. We show how, in microphilosophy they coincide or synchronize. Jointly and basically, they form the minimum method employed. The initial, basic, intended result is called minimum feasibility. The fundamental circularity between method and result leaves no way out but to ground self-reference in such a manner that method and result “logico-genetically” coincide. Two extreme situations are avoided: “the logical zero-situation” where nothing is true or real, and “the credulous open situation” where everything is true or real. Finding a mean manifests a basic value. If the meaning of truth and reality is to be preserved, the basic value must have a clear impact and express descriptive rather than revisionary reason. -/- Several other stringent demands are raised as conditions which microphilosophy should fulfil to achieve feasibility. The final, joint, outcome of both “method” and “result,” in the thesis of microphilosophical feasibilism, is formulated thus: Self refers freely and symbolically to itself, own person, own body, material bodies, other persons’ bodies, other persons, and other selves. -/- Ramesh N. Patel Doctor of Philosophy in Philosophy conferred in June, 1970 University of New Mexico, Albuquerque, N.M. (shrink)

Equal Justice explores the role of the idea of equality in liberal theories of justice. The title indicates the book’s two-part thesis: first, I claim that justice is the central moral category in the socio-political domain; second, I argue for a specific conceptual and normative connection between the ideas of justice and equality. This pertains to the age-old question concerning the normative significance of equality in a theory of justice. The book develops an independent, systematic, and comprehensive theory of equality (...) and egalitarianism. The principal question is about the importance of equality in a theory of justice. More precisely, we should pose questions in four contracting circles: 1. Is justice the supreme value guiding our setup of the basic structure of society, or are there other, equally important values, such as recognition, care, communal belonging? 2. If justice is the highest guiding principle, which competing ideals—especially equality and freedom—ought to have precedence in a policy oriented toward justice? What status does the ideal of equality have in that framework? 3. If equality is a basic ideal of just policy, how should it be practically realized? What sort of equality (equal opportunity, equality of welfare, resource equality) should be demanded? 4. What patterned distribution of which specific goods does the ideal of equality demand? Which principles of distribution can be justified according to our justice ideal? To conclude and summarize: 5. What is the essential core of an egalitarian theory of justice, as opposed to an inegalitarian theory? These five questions structure the work’s order of argumentation. Part A elaborates the conceptual foundations and basic moral principles of justice and equality. Chapter I sets out to install justice as the central moral category in the socio-political domain. At the beginning of the first chapter, the conceptual foundations of justice are clarified. While not eliminating the classical distinctions between different forms of justice, I argue that the distributive paradigm is of primary importance. The primacy of justice in the socio-political domain is developed out of a confrontation with alternative positions, those which maintain either that justice generally, or distributive justice in particular, are subsidiary virtues. At the end of Chapter I, the first of the questions mentioned above is answered in a way that establishes justice as the guiding normative concept for the foundation and evaluation of any social order. To clarify the role of equality in a theory of justice, Chapter II separates the idea of equality into four different principles. They are organized in a way that begins with the most general and uncontroversial principle of equality, and progresses towards increasingly detailed and contested principles. There are two theses that articulate and defend the significance of equality for justice: First there is a conceptual connection between justice and equality, in that principles of formal and proportional equality are necessary in order to explicate the concept of justice. These two principles establish an unbreakable bond between justice and equality. Justice can only be explained—or so I argue—by reference to these and other (normative) principles of equality. The second thesis posits a normative relationship between justice and equality, which is disclosed by three substantive principles of equality: moral equality, the presumption of equality, and the principle of responsibility. I argue that the normative core of an egalitarian theory of justice is expressed by the latter two principles, which are themselves based on the first principle, that of moral equality. When we view one another as persons, what form of equality or equal treatment is normatively demanded? I argue that the answer to this question is given by the procedural principle of the presumption of equality: regardless of their apparent differences, all persons deserve strictly equal treatment, unless certain kinds of differences have whatever particular relevance would justify, on generally acceptable grounds, unequal treatment or unequal distribution. The justification of the presumption of equality is central to this work and has considerable importance. If the presumption principle’s validity can be justified by enlisting the principle of general justification, then the primacy of equality, and the essential argument for an egalitarian theory of justice, is established. This would likewise provide a procedure for the construction of a material theory of justice. The second question is answered thereby at the end of Chapter II: Equality should have primacy over competing ideals within a justice-oriented policy. The presumption of equality establishes this primacy and, at the same time, offers an appropriate metric and guideline for the construction of a material theory of distributive justice. The presumption of equality in Part B offers an elegant procedure for the development of a theory of distributive justice. Chapter III clearly sets out the necessary prerequisites that a theory of distribution must satisfy in order to determine a liberal-egalitarian distributional framework. We need to specify in which situation the distribution takes place; which goods are and are not to be distributed; in which respect the presumptive equality is to be produced; and by and to whom, and for what period, the relevant goods are to be distributed. The distribution is based on resources understood as general-purpose means. It is necessary to divide goods into different categories, since the justification for unequal treatment in one domain will not carry over into another. This makes presumptive equality necessarily complex. To that end, four spheres of justice are distinguished: (1) the political sphere, which involves allocating rights through the distribution of civil liberties; (2) the democratic sphere, in which political power and the rights of political participation are regulated; (3) the economic sphere, in which income and property are distributed; (4) the social sphere, in which social positions and opportunities are distributed. This framework of distributive justice answers the third of our guiding questions, about the nature of equality, in terms of equality of resources. Chapters IV and V set out the egalitarian distributive criteria for each sphere. I argue that the generally accepted, fundamental rights of classical liberalism are more effectively reconstructed by reference to the equal resource distribution presumptively required in those spheres. Chapter IV shows that when it comes to the first two spheres, those involving basic rights and freedoms and entitlement political participation, there can be no justified exceptions to the equal distribution of the relevant goods. That section argues, contrary to what we commonly find in theories of freedom or popular sovereignty, that the value of freedom and self-determination as the political basis of autonomy is best realized through the presumption of equal distribution. Chapter V deals with the other two spheres, those of economic goods and social positions, and argues for justified exceptions to equal distribution. In the economic sphere we find one principal reason favouring unequal distribution of resources, and three restrictions and compensations limiting that inequality. The basic exception to equal economic distribution arises from the unequal consequences of personal responsibility. From a suitably egalitarian standpoint, the principle of responsibility is the normative principle that determines which reasons justify economic inequality. Here the basic idea is that unequal shares of social goods are fair if they result from the choices and deliberate actions of the relevant parties. That individuals have to bear the costs of their own choices is a condition of autonomy. However, benefits or disadvantages arising from arbitrary and unmerited differences in social circumstances or natural endowments is unfair. The unequal consequences of independent decision-making and action must therefore be limited by compensating first for preferences, secondly for disadvantages, and thirdly by redistributing wealth in aid of the worse-off. I situations of emergency, compensating for disadvantages has priority over all other claims, owing to the urgency of the situation. Social inequalities go beyond the permissible limit if it is possible to improve the long-term social or economic situation of the worse-off by redistributing wealth to them. These exceptions lead to a complex system of free economic action within a framework of compensatory tax and transfer mechanisms. Finally, in the social sphere, the distribution of social positions, offices and opportunities must be structured to ensure that equally talented and motivated citizens have roughly equal chances of obtaining those offices or positions, irrespective of their economic or social class backgrounds. This compromise is permissible for reasons of freedom and prudence, and it makes a certain measure of inequality acceptable. The fourth of our guiding questions is answered accordingly. There are five principles of justice for the basic structure of society, and five legal principles that govern the special distribution of goods in the respective spheres—all are ranked according to their most defensible grounds of priority, ensuring that everyone is accorded equal justice. Chapter VI recapitulates the initial question of equality’s value. The conception of equal justice developed in this work postulates five principles of equality and five principles of law; these constitute an egalitarian framework because they support and promote social justice. Equality has value with respect to them, but is not given any independent, intrinsic value. That is why I call the account developed here a form of constitutive egalitarianism: justice is realized through the realization of equality, itself accomplished by applying the five postulates of equality and five distributive principles of law. This is an egalitarianism on two levels. The first level is involves the claim that morality or justice is conceptually connected with equality. The second level gives equality a substantial weight in what is conceptually validated at the first level, namely the presumption of equality, and constructs an appropriate interpretation and conception of distributive justice through principles of distribution for the individual spheres. The weight and importance of equality is shown by the distributive criteria applied to those spheres. This answers our final guiding question about the nature of an egalitarian theory. (shrink)

This article discusses the relation between the early Wittgenstein’s and Carnap’s philosophies of logic, arguing that Carnap’s position in The Logical Syntax of Language is in certain respects much closer to the Tractatus than has been recognized. In Carnapian terms, the Tractatus’ goal is to introduce, by means of quasi-syntactical sentences, syntactical principles and concepts to be used in philosophical clarification in the formal mode. A distinction between the material and formal mode is therefore already part of the Tractatus’ view, (...) and its method for introducing syntactical concepts and principles should be entirely acceptable for Carnap by his own criteria. Moreover, despite the Tractatus’ rejection of syntactical statements, there is an important correspondence between Wittgenstein’s saying-showing distinction and Carnap’s object-language-syntax-language distinction: both constitute a distinction between logico-syntactical determinations concerning language and language as determined or described by those determinations. Wittgenstein’s distinction therefore constitutes a precursor of the object-language syntax-language distinction which the latter in a certain sense affirms, rather than simply contradicting it. The saying-showing distinction agrees with Carnap’s position also in marking logic as something that isn’t true/false about either language or reality, which is a conception that underlies Carnap’s principle of tolerance. (shrink)

Conventional wisdom dictates that proofs of mathematical propositions should be treated as necessary, and sufficient, for entailing `significant' mathematical truths only if the proofs are expressed in a---minimally, deemed consistent---formal mathematical theory in terms of: * Axioms/Axiom schemas * Rules of Deduction * Definitions * Lemmas * Theorems * Corollaries. Whilst Andrew Wiles' proof of Fermat's Last Theorem FLT, which appeals essentially to geometrical properties of real and complex numbers, can be treated as meeting this criteria, it nevertheless leaves (...) two questions unanswered: (i) Why is x^n +y^n = z^n solvable only for n < 3 if x, y, z, n are natural numbers? (ii) What technique might Fermat have used that led him to, even if only briefly, believe he had `a truly marvellous demonstration' of FLT? Prevailing post-Wiles wisdom---leaving (i) essentially unaddressed---dismisses Fermat's claim as a conjecture without a plausible proof of FLT. -/- However, we posit that providing evidence-based answers to both queries is necessary not only for treating FLT as significant, but also for understanding why FLT can be treated as a true arithmetical proposition. We thus argue that proving a theorem formally from explicit, and implicit, premises/axioms using rules of deduction---as currently accepted---is a meaningless game, of little scientific value, in the absence of evidence that has already established---unambiguously---why the premises/axioms and rules of deduction can be treated, and categorically communicated, as pre-formal truths in Marcus Pantsar's sense. Consequently, only evidence-based, pre-formal, truth can entail formal provability; and the formal proof of any significant mathematical theorem cannot entail its pre-formal truth as evidence-based. It can only identify the explicit/implicit premises that have been used to evidence the, already established, pre-formal truth of a mathematical proposition. Hence visualising and understanding the evidence-based, pre-formal, truth of a mathematical proposition is the only raison d'etre for subsequently seeking a formal proof of the proposition within a formal mathematical language (whether first-order or second order set theory, arithmetic, geometry, etc.) By this yardstick Andrew Wiles' proof of FLT fails to meet the required, evidence-based, criteria for entailing a true arithmetical proposition. -/- Moreover, we offer two scenarios as to why/how Fermat could have laconically concluded in his recorded marginal noting that FLT is a true arithmetical proposition---even though he either did not (or could not to his own satisfaction) succeed in cogently evidencing, and recording, why FLT can be treated as an evidence-based, pre-formal, arithmetical truth (presumably without appeal to properties of real and complex numbers). It is primarily such a putative, unrecorded, evidence-based reasoning underlying Fermat's laconic assertion which this investigation seeks to reconstruct; and to justify by appeal to a plausible resolution of some philosophical ambiguities concerning the relation between evidence-based, pre-formal, truth and formal provability. (shrink)

In the tradition stemming from Aristotle through Aquinas, rational decision making is seen as a complex structure of distinct phases in which reasoning and will are interconnected. Intention, deliberation, and decision are regarded as the fundamental steps of the decision-making process, in which an end is chosen, the means are specified, and a decision to act is made. Based on this Aristotelian theoretical background, we show how the decision-making process can be modeled as a net of several patterns of reasoning, (...) involving the classification of an action or state of affairs, its evaluation, the deliberation about the means to carry it out, and the decision. It is shown how argumentation theory can contribute to our understanding of the mechanisms involved by formalizing the steps of reasoning using argumentation schemes, and setting out the value-based criteria underlying the evaluation of an action. Representing each phase of the decision-making process as a separate scheme allows one to identify implicit premises and bring the roots of ethical dilemma to light along with the means to resolve them. In particular, we will show the role of framing and classification in triggering value-based reasoning, and how argumentation theory can be used to represent and uproot the grounds of possible manipulations. (shrink)

Η εύληπτη εκπαιδευτική προσέγγιση ότι «κληρονομιά είναι οτιδήποτε θέλεις “εσύ” να διατηρηθεί για τις επόμενες γενιές» κλονίζεται στην ερώτηση «όλα όσα μας παραδίδονται από τους προγόνους μας αποτελούν μια προς διαφύλαξη κληρονομιά, εφόσον “εσύ” το αποφασίσεις;». Εκφάνσεις «βαρβαρότητας» που διασώζονται σε προγενέστερες εθιμικές πρακτικές θα μπορούσαν άραγε να αποτελέσουν στοιχεία ΑΠΚ προς διαφύλαξη; Η παρούσα εργασία επιχειρεί μια πρώτη ανίχνευση του σύνθετου αυτού θέματος. Περιπτώσεις μελέτης από τον ελληνικό και διεθνή χώρο διερευνώνται με κριτήρια αξιολόγησης τα αναφερόμενα στη Σύμβαση για (...) τη Διαφύλαξη της ΑΠΚ (UNESCO, 2003). Βάσει αυτών δεν γίνονται αποδεκτές εθιμικές πρακτικές ΑΠΚ που αναζωπυρώνουν μνήμες βίαιων συγκρούσεων μεταξύ μελών κοινότητας/κοινοτήτων, αποκλείουν με βίαιο ή/και υποτιμητικό τρόπο μέλη εξαιτίας του φύλου, της ηλικίας, της επαγγελματικής ιδιότητας, ή του σεξουαλικού τους προσανατολισμού, καθώς και εθιμικές πρακτικές που περιλαμβάνουν κακομεταχείριση ή/και βασανισμό ζώων. Η εφαρμογή των παραπάνω στην πράξη παραμένει αχαρτογράφητο πεδίο. Απαραίτητες φάσεις μιας συστηματικής μελέτης αποτελούν α) η αναγνώριση και η ευαισθητοποίηση των τοπικών κοινωνιών και του ευρύτερου κοινωνικού συνόλου για τις αξίες της ΑΠΚ, β) η έρευνα, τεκμηρίωση και αξιολόγηση των επιμέρους στοιχείων της, γ) η υποστήριξη των διαδικασιών μεταβίβασής της στις νεότερες γενιές, μέσω της τυπικής και μη εκπαίδευσης, δ) η ανάδειξη της σημασίας της σε τοπική, περιφερειακή, εθνική ή/και παγκόσμια κλίμακα. Η ΑΠΚ μετεξελίσσεται και μεθερμηνεύεται διαρκώς μέσω σύνθετων κοινωνικών και πολιτισμικών διεργασιών. Απόπειρες εξαναγκασμένης «αναβίωσης» κάποιας «αυθεντικής» ή «γνήσιας» μορφής μιας έκφανσής της συχνά αποτυγχάνουν, ενώ παραμένουν μεθοδολογικά μετέωρες. Ο ρόλος της εκπαιδευτικής διαδικασίας στην ανάπτυξη σχετικών ηθικών αρχών και κριτικής σκέψης είναι κρίσιμης σημασίας. Λέξεις κλειδιά: άυλη πολιτιστική κληρονομιά, κοινότητες, αξίες, ηθικές αρχές, εκπαίδευση For educational purposes, we may claim that heritage is whatever each one of us individually or collectively wishes to preserve and pass on to the next generation. However, should violent or other disturbing forms of expression, preserved in customary practices, be safeguarded, if the whole or part of the ‘community’ decides to do so? The present paper attempts a first approach to this complex issue. Case studies from Greece and worldwide are investigated and appraised on the basis of the Convention for the Safeguarding of the ICH (UNESCO, 2003). According to the Convention criteria, customary practices that refresh memories of violent conflicts between members of the community/communities, or exclude members with an aggressive and pejorative way because of their gender, age, professional status or sexual orientation, as well as practices involving the ill-treatment and/or torture of animals do not deserve safeguarding. The implementation of the above criteria in practice, however, remains an uncharted area. A systematic study, therefore, should: (a) include initiation, recognition and awareness on the part of local communities and societies about the values of the ICH; (b) promote research, documentation and evaluation of heritage components; (c) support the transition to the younger generations through formal and non-formal educational events; (d) highlight its importance on the local, regional, national and international context. ICH is evolving and constantly interpreted through complex social and cultural processes. Any forced attempt to revive an ‘authentic’ or ‘genuine’ version of ICH cultural expression, besides appearing fake, is methodologically challenged. The role of education in developing ethical principles and a critical approach to heritage is undoubtedly crucial. Keywords: Intangible cultural heritage, communities, values, ethical principles, education. (shrink)

This article begins with the claim that the Formula of Universal Law, interpreted as a test of the deontic status of actions, can't be made to work. If not, then one might wonder whether what other work it might do in the overall economy of Kant's ethics. I defend what I call the "formal constraint" interpretation of FUL, explaining how it can figure in a defense of the Formula of Humanity, and its psychological significance in moral thinking.

One of the most expected properties of a logical system is that it can be algebraizable, in the sense that an algebraic counterpart of the deductive machinery could be found. Since the inception of da Costa's paraconsistent calculi, an algebraic equivalent for such systems have been searched. It is known that these systems are non self-extensional (i.e., they do not satisfy the replacement property). More than this, they are not algebraizable in the sense of Blok-Pigozzi. The same negative results hold (...) for several systems of the hierarchy of paraconsistent logics known as Logics of Formal Inconsistency (LFIs). Because of this, these logics are uniquely characterized by semantics of non-deterministic kind. This paper offers a solution for two open problems in the domain of paraconsistency, in particular connected to algebraization of LFIs, by obtaining several LFIs weaker than C1, each of one is algebraizable in the standard Lindenbaum-Tarski's sense by a suitable variety of Boolean algebras extended with operators. This means that such LFIs satisfy the replacement property. The weakest LFI satisfying replacement presented here is called RmbC, which is obtained from the basic LFI called mbC. Some axiomatic extensions of RmbC are also studied, and in addition a neighborhood semantics is defined for such systems. It is shown that RmbC can be defined within the minimal bimodal non-normal logic E+E defined by the fusion of the non-normal modal logic E with itself. Finally, the framework is extended to first-order languages. RQmbC, the quantified extension of RmbC, is shown to be sound and complete w.r.t. BALFI semantics. (shrink)

This dissertation is concerned with two of the largest questions that we can ask about the nature of physical reality: first, whether physical reality begin to exist and, second, what criteria would physical reality have to fulfill in order to have had a beginning? Philosophers of religion and theologians have previously addressed whether physical reality began to exist in the context of defending the Kal{\'a}m Cosmological Argument (KCA) for theism, that is, (P1) everything that begins to exist has a (...) cause for its beginning to exist, (P2) physical reality began to exist, and, therefore, (C) physical reality has a cause for its beginning to exist. While the KCA has traditionally been used to argue for God's existence, the KCA does not mention God, has been rejected by historically significant Christian theologians such as Thomas Aquinas, and raises perennial philosophical questions -- about the nature and history of physical reality, the nature of time, the nature of causation, and so on -- that should be of interest to all philosophers and, perhaps, all humans. While I am not a religious person, I am interested in the questions raised by the KCA. In this dissertation, I articulate three necessary conditions that physical reality would need to fulfill in order to have had a beginning and argue that, given the current state of philosophical and scientific inquiry, we cannot determine whether physical reality began to exist. -/- Friends of the KCA have sought to defend their view that physical reality began to exist in two distinct ways. As I discuss in chapter 2, the first way in which friends of the KCA have sought to defend their view that physical reality began to exist involves a family of a priori arguments meant to show that, as a matter of metaphysical necessity, the past must be finite. If the past is necessarily finite, then the past history of physical reality is necessarily finite. And if having a finite past suffices for having a beginning, then, since the past history of physical reality is necessarily finite, physical reality necessarily began to exist. I show that the arguments which have been offered thus far for the view that the past is necessarily finite do not succeed. Moreover, as I elaborate on in chapter 5, having a finite past does not suffice for having a beginning. -/- As I discuss in chapter 3, the second way in which friends of the KCA have sought to defend their view that physical reality began to exist involves a family of a posteriori arguments meant to show that we have empirical evidence that physical reality has a finite past history. For example, the big bang is sometimes claimed to have been the beginning of physical reality and, since we have excellent empirical evidence for the big bang, we have excellent empirical evidence for the beginning of physical reality. The big bang can be understood in two ways. On the one hand, the big bang can be understood as a theory about the history and development of the observable universe. Understood in that sense, then I agree that the big bang is supported by excellent empirical evidence and by a scientific consensus. On the other hand, some authors (particularly science popularizers, science journalists, and religious apologists) have wrongly interpreted big bang theory as a theory about the beginning of the whole of physical reality. As I argue, while a beginning of physical reality may be consistent with classical big bang theory, classical big bang theory does not provide good reason for thinking that physical reality began to exist. -/- In part II, I turn to discussing three necessary, but not necessarily sufficient, conditions for physical reality to have a beginning. Before discussing the three conditions, in chapter 4, I introduce three metaphysical accounts of the nature of time (A-theory, B-theory, and C-theory) as well as some formal machinery that will subsequently become useful in the dissertation. I introduce the first of the three conditions in chapter 5. According to the Modal Condition, physical reality began to exist only if, at the closest possible worlds without time, physical reality does not exist. I show that this condition helps us to make sense of various views in both theology and philosophy of physics. In chapter 6}, I introduce the second of my three conditions, the Direction Condition, according to which, roughly, physical reality began to exist only if all space-time points agree about the direction of time, so that all space-time points can agree that physical reality's putative beginning took place in their objective past. In chapter 7, I discuss the third condition, the Boundary Condition, according to which physical reality began to exist only if there is a past temporal boundary such that physical reality did not exist before the boundary. I show that there are two senses in which physical reality could be said to have had a past temporal boundary. Lastly, in chapter 8, I show that there is a relationship between my three conditions and classical big bang theory, even though the relationship is not the one usually identified in the literature. -/- In part III, I present four arguments for the view that, at the present stage of philosophical and scientific inquiry, we cannot know whether physical reality satisfies the three necessary conditions to have had a beginning and, consequently, we cannot know whether physical reality had a beginning. As I will prove in chapter 9, no set of observations that we currently have, when conjoined with General Relativity, entails that physical reality satisfies the Direction or Boundary Conditions. As I show in chapter 10, considerations in the philosophical foundations of statistical mechanics entail either that the Cosmos violates the Modal Condition or else that there is a transcendental condition on the possibility of our knowledge of the past that prevents our access to data we would need to gather to determine whether physical reality satisfies the Boundary Condition. In chapter 11, I show that there are a number of live cosmological models according to which physical reality does not satisfy the Boundary Condition. As long as we don't know whether any of those cosmological models are correct, we do not know whether physical reality satisfies the Boundary Condition. Lastly, I turn to confirmation theory and show that, at our present stage of inquiry, ampliative inferences for the conclusion that physical reality satisfies the Modal, Direction, and Boundary Conditions are not successful. (shrink)

Many philosophers believe that the criteria of identity over time for ordinary objects entail that such objects are permanent members of certain sortal kinds. The sortal kinds in question have come to be known as substance sortal kinds. But in this article, I defend a criterion of identity that is suited to phasalism, the view that alleged substance sortals are in fact phase sortals. The criterion I defend is a sortal‐weighted version of a change‐minimizing criterion first discussed by Eli (...) Hirsch. I present this criterion and then argue that it withstands attempts to show that it is inferior to non‐phasalist rivals. (shrink)

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

This paper identifies and synthetically demonstrates the most important steps and changes in the evolution of the idea and institution of citizenship in Europe over more than two thousand years. Citizenship is one of the essential categories defining human status. From a historical perspective, the idea of citizenship in Europe is in a state of constant evolution. Therefore, the essence of the institution of citizenship and its acquisition criteria are continually being transformed. Today’s comprehension of citizenship is different from (...) understanding citizenship in Europe in earlier epochs of history. In some of them, the concept of citizenship existed only in the realm of ideas. In others, the idea materialised, and membership in the state (or city) and civic rights and obligations found a formal, legal expression. The formation of the idea and institution of citizenship is a long and multi-phase process. Published in "Studia Europejskie – Studies in European Affairs", Vol. 25, 1/2021, pp. 7-31. (shrink)

Formal principles governing best practices in classification and definition have for too long been neglected in the construction of biomedical ontologies, in ways which have important negative consequences for data integration and ontology alignment. We argue that the use of such principles in ontology construction can serve as a valuable tool in error-detection and also in supporting reliable manual curation. We argue also that such principles are a prerequisite for the successful application of advanced data integration techniques such as ontology-based (...) multi-database querying, automated ontology alignment and ontology-based text-mining. These theses are illustrated by means of a case study of the Gene Ontology, a project of increasing importance within the field of biomedical data integration. (shrink)