Mathematical formalism is the the view that numbers are "signs" and that arithmetic is like a game played with such signs. Frege's colleague Thomae defended formalism using an analogy with chess, and Frege's critique of this analogy has had a major influence on discussions in analytic philosophy about signs, rules, meaning, and mathematics. Here I offer a new interpretation of formalism as defended by Thomae and his predecessors, paying close attention to the mathematical details and historical context. (...) I argue that for Thomae, the formal standpoint is an _algebraic perspective_ on a domain of objects, and a "sign" is not a linguistic expression or mark, but a representation of an object within that perspective. Thomae exploits a shift into this perspective to give a purely algebraic construction of the real numbers from the rational numbers. I suggest that Thomae's chess analogy is intended to provide a model for such shifts in perspective. (shrink)

I argue against inferentialism about logic. First, I argue against an analogy between logic and chess, before considering a more basic objection to stipulating inference rules as a way of establishing the meaning of logical constants. The objectionthe Mushroom Omelette Objectionis that stipulative acts are partly constituted by logical notions, and therefore cannot be used to explain logical thought. I then argue that the same problem also attaches to following existing conventional rules, since either those rules have logical (...) contents, or following those conventional rules is done for logical reasons. Lastly, I compare this argument with other arguments found in Quine’s early work, and consider two attempts to reply to Quine. (shrink)

Someone acts in a morally worthy way when they deserve credit for doing the morally right thing. But when and why do agents deserve credit for the success involved in doing the right thing? It is tempting to seek an answer to that question by drawing an analogy with creditworthy success in other domains of human agency, especially in sports, arts, and crafts. Accordingly, some authors have recently argued that, just like creditworthy success in, say, chess, playing the (...) piano, or archery, creditworthy moral success is a matter of getting things right by way of manifesting a relevant skill. My main aim in this paper is to bring out an important structural difference between moral creditworthiness and creditworthiness in sports, arts, and craft, undermining attempts to use examples of the latter as a model for understanding the former. As an alternative, I propose an account of morally creditworthy action, according to which such action is a matter of manifesting virtue, not skill—a claim that's based on an important, but underappreciated, difference between the sorts of excellences constituting virtues and skills. The paper thus contributes to a more nuanced picture of normative achievements across different domains of human agency, highlighting largely overlooked structural dissimilarities among them. (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)

In this paper I propose to describe, in brief, a semiotic paradigm which results from the redefinition of the linguistic sign as a molecular sememe. Borrowing a tactic from Wittgenstein, I wish to use the game of chess as an analogy for the sake of describing what a molecular sememe is. Then I hope to use it further to sketch several implications of this semiotic paradigm for literary criticism and critical theory.

In this article, I make a novel argument for scientific antirealism. My argument is as follows: (1) the best human chess players would lose to the best computer chess programs; (2) if the best human chess players would lose to the best computer chess programs, then there is good reason to think that the best human chess players do not understand how to make winning moves; (3) if there is good reason to think that the (...) best human chess players do not understand how to make winning moves, then there is good reason to think that the best human theories about unobservables are wrong; therefore, (4) there is good reason to think that the best human theories about unobservables are wrong. The article is divided into three sections. In the first, I outline the backdrop for my argument. In the second, I explain my argument. In the third, I consider some objections. (shrink)

The article presents the chess composition as a logical art, with concrete examples. It began with Arabic mansuba, and later evolved to new-strategy designed by Italian Alberto Mari. The redefinition of mate (e.g. mate with a free field) or a theme to quasi-pseudo theme, opens the new space for combinations, and enables to connect it with other fields like computer science. The article was exhibited in Holland Park, W8 6LU, The Ice House between 18. Oct - 3. Nov. 2013.

Playing chess is one of the first sectors of human thinking that were conquered by computers. From the historical win of Deep Blue against chess champion Garry Kasparov until today, computers have completely dominated the world of chess leaving no room for question as to who is the king in this sport. However, the better computers become in chess the more obvious their basic disadvantage becomes: Even though they can defeat any human in chess and (...) play phenomenally great and intuitive moves, they do not seem to know what chess it. Recently, the advent of AlphaZero brought the level of computers to even higher grounds, but made that disadvantage even more obvious. Nowadays the best chess algorithm can find the best moves in any position without having any knowledge of any chess principle whatsoever. A new world of capabilities and knowledge lays open in front of us, but the darkness behind it is deeper than we could ever imagine. The neural network algorithms seem capable of being best in something without even knowing what that something is, making questions regarding the essence of what thought is more important than ever. (shrink)

Falsification may demarcate science from non-science as the rational way to test the truth of hypotheses. But experimental evidence from studies of reasoning shows that people often find falsification difficult. We suggest that domain expertise may facilitate falsification. We consider new experimental data about chess experts’ hypothesis testing. The results show that chess masters were readily able to falsify their plans. They generated move sequences that falsified their plans more readily than novice players, who tended to confirm their (...) plans. The finding that experts in a domain are more likely to falsify their hypotheses has important implications for the debate about human rationality. (shrink)

The purpose of this paper is to provide a detailed technical protocol analysis of chess masters' evaluative expertise, paying particular attention to the analysis of the structure of their memory process in evaluating foreseen possibilities in games of dynamic equilibrium. The paper has two purposes. First, to publish a results chapter from my DPhil thesis (in revised journal article form) attending to the measurement of foresight in chess masters' evaluation process, testing alternative theories of cognitive expertise in the (...) domain of chess; and second to provide a subset of the technical graphical analysis that corresponds to that measurement to preserve this protocol analysis for access in the academic domain for future studies of expert memory and foresight (e.g., Ericsson & Simon, 1993). The step-by-step protocol analysis consists of: (i) an introduction to foresight cognition as hypothesis testing, (ii) a theoretical review in the domain of chess masters' expertise according to the theoretical frameworks in that field purporting hypotheses relevant to chess masters' evaluative skill processes, and (iii) summary tables and non-parametric statistical analysis corroborating chunking theory frameworks of expert cognition (e.g., DeGroot, 1965; Newell & Simon, 1972; Gobet, 1998; Gobet et al., 2004), and refuting the alternative search-evaluation models (e.g., Holding & Reynolds, 1982). Moreover, the journal article espouses the preservation of the traditional protocol analysis method core to the field of expert cognition (DeGroot, 1969; Kotov, 1971). The full protocol analysis can be found in monograph form here on my SSRN profile in ‘The role of falsification in hypothesis testing’. It takes the form of a specialist population study (e.g., detailed case study work; Luria, 1987). Thus the outline consists of a short introduction, a theoretical methodological review discussing protocol analysis methods for specialist population studies in cognition (with particular attention to the preservation of protocol analysis methods for chess studies in cognition and expert memory/ with a fresh angle on the foresight process), and the full set of protocol analyses with corresponding problem behaviour graphs. A subset of the main results has been published elsewhere (e.g., Cowley & Byrne, 2004; Cowley 2006), receiving scientific and scientific journalistic acclaim (e.g., Nature Online News 2004). (shrink)

Should the development of pharmacological cognitive enhancers raise worries about doping in cognitively demanding activities? In this paper, we argue against using current evidence relating to enhancement to justify a ban on cognitive enhancers using the example of chess. It is a mistake to assume that enhanced cognitive functioning on psychometric testing is transferable to chess performance because cognitive expertise is highly complex and in large part not merely a function of the sum specific sub-processes. A deeper reason (...) to doubt that pharmacological cognitive enhancers would be as significant in mind sports is the misleading parallel with physical enhancement. We will make the case that cognitive performance is less mechanical in nature than physical performance. We draw lessons from this case example of chess for the regulation of cognitive enhancement more generally in education and the professions. Premature regulation runs the risk of creating a detrimental culture of suspicion that ascribes unwarranted blame. (shrink)

From the political point of view, European Union (EU) integration implies some kind of unity in the community constituted by EU citizens. Unity is difficult to attain if the diversity of citizens (and their nations) is to be respected. A thick bond that melts members' diversity into a 'European pot' is therefore out of the question. On the other hand, giving up unity altogether makes political integration impossible. Through a meta-theoretical analysis of normative positions, this paper proposes a composed notion (...) of European identity that links without binding. It contains four facets – cultural, political, social, external – with nuances, expressed in three binaries, that cut across all of them – history-project, ethos-achievement, commonness-uncommonness. I will submit that a workable European identity (and the related concepts of unity, polity and citizenship) can be better conceived as analogical – a mid way between blending unity and irreconcilable diversity. (shrink)

Analogical cognition refers to the ability to detect, process, and learn from relational similarities. The study of analogical and similarity cognition is widely considered one of the ‘success stories’ of cognitive science, exhibiting convergence across many disciplines on foundational questions. Given the centrality of analogy to mind and knowledge, it would benefit philosophers investigating topics in epistemology and the philosophies of mind and language to become familiar with empirical models of analogical cognition. The goal of this essay is to (...) describe recent empirical work on analogical cognition as well as model applications to philosophical topics. Topics to be discussed include the epistemological distinction between implicit knowledge and explicit knowledge, the debate between empiricists and nativists, the frame problem, expertise, creativity and autism, cognitive architecture, and relational knowledge. Particular attention is given to Dedre Gentner and colleague’s structure-mapping theory – the most developed and widely accepted model of analogical cognition. (shrink)

Analogical reasoning is often employed in problem-solving and metaphor interpretation. This paper submits that, as a default, analogical reasoning addressing these different tasks employs different mapping strategies: In problem-solving, it employs analogy-maximising strategies (like structure mapping, Gentner & Markman 1997); in metaphor interpretation, analogy-minimising strategies (like ATT-Meta, Barnden 2015). The two strategies interact in analogical reasoning with conceptual metaphors. This interaction leads to predictable fallacies. The paper supports these hypotheses through case-studies on ‘mind’-metaphors from ordinary discourse, and abstract (...) problem-solving in the philosophy of mind, respectively: It shows that (1) default metaphorical interpretations for vision- and space-cognition metaphors can be derived with a variant of the analogy-minimising ATT-Meta approach, (2) philosophically influential introspective conceptions of the mind can be derived with conceptual metaphors only through an analogy-maximising strategy, and (3) the interaction of these strategies leads to hitherto unrecognised fallacies in analogical reasoning with metaphors. This yields a debunking explanation of introspective conceptions. (shrink)

In this paper, we outline a comprehensive approach to composed analogies based on the theory of conceptual spaces. Our algorithmic model understands analogy as a search procedure and builds upon the idea that analogical similarity depends on a conceptual phenomena called ‘dimensional salience.’ We distinguish between category-based, property-based, event-based, and part-whole analogies, and propose computationally-oriented methods for explicating them in terms of conceptual spaces.

The evidential value of moral intuitions has been challenged by psychological work showing that the intuitions of ordinary people are affected by distorting factors. One reply to this challenge, the expertise defence, claims that training in philosophical thinking confers enhanced reliability on the intuitions of professional philosophers. This defence is often expressed through analogy: since we do not allow doubts about folk judgments in domains like mathematics or physics to undermine the plausibility of judgments by experts in these domains, (...) we also should not do so in philosophy. In this paper I clarify the logic of the analogy strategy, and defend it against recent challenges by Jesper Ryberg. The discussion exposes an interesting divide: while Ryberg’s challenges may weaken analogies between morality and domains like mathematics, they do not affect analogies to other domains, such as physics. I conclude that the expertise defence can be supported by analogical means, though care is required in selecting an appropriate analog. I discuss implications of this conclusion for the expertise defence debate and for study of the moral domain itself. (shrink)

Analogien lassen sich aus unserem vernünftigen Nachdenken und Argumentieren kaum wegdenken. Ganz zurecht stellen sie eines der klassischen Themen der Argumentationstheorie dar. Doch wie genau sollte die argumentative Rolle von Analogien in Argumentrekonstruktionen dargestellt werden? Das ist die Leitfrage dieses Beitrags. Zunächst wird mit Michael Dummetts Schach-Analogie ein prominentes Beispiel dargestellt und eine genauere Charakterisierung des Analogiebegriffs vorgeschlagen. Danach wird die gängigste Rekonstruktionsform von Analogien diskutiert, das Analogieargument, und in einigen Punkten verfeinert. Vor diesem Hintergrund schlägt der Beitrag eine zweite, (...) alternative Rekonstruktionsform vor, in der zwei analoge Argumente an die Stelle eines einzelnen Analogiearguments treten. Nachdem diese beiden Rekonstruktionsformen an einem weiteren berühmten Beispiel vorgeführt wurden, an Peter Singers Teich-Analogie, wird diskutiert, wie sich diese beiden Varianten gegenseitig ergänzen und welche Stärken und Schwächen sie haben. Es zeigt sich, dass Analogien nicht nur in Form von Analogieargumenten einen zentralen Topos eines Einzelarguments darstellen. Darüber hinaus kann die Untersuchung analoger Argumente bereits selbst als argumentationstheoretische Topik verstanden werden. (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)

Analogy-making is finding analogies between different situations. In this paper, we provide a new model of computational analogy-making which uses Situation Theory as its formal background. Situation Theory is a semantic and logical theory which provides a naturalistic way to represent relations in situations. The system described in this paper is aimed at solving analogy problems made by basic geometric figures in a chessboard-like environment.

In this article, we address fallacious analogical reasoning and the Metaphoric Fallacy to a Deductive Inference (MFDI), recently discussed by B. Lightbody and M. Berman (2010). We claim that the authors’ proposal to introduce a new fallacy is only partly justified. We also argue that, in some relevant cases, fallacious analogical reasoning involving metaphors is only affected by the use of quaternio terminorum.

Argument from analogy is a common and formidable form of reasoning in law and in everyday conversation. Although there is substantial literature on the subject, according to a recent survey ( Juthe 2005) there is little fundamental agreement on what form the argument should take, or on how it should be evaluated. Th e lack of conformity, no doubt, stems from the complexity and multiplicity of forms taken by arguments that fall under the umbrella of analogical reasoning in argumentation, (...) dialectical studies, and law. Modeling arguments with argumentation schemes has proven useful in attempts to refine the analyst’s understanding of not only the logical structures that shape the backbone of the argument itself, but also the logical underpinning of strategies for evaluating it, strategies based on the semantic categories of genus and relevance. By clarifying the distinction between argument from example and argument from analogy, it is possible to advance a useful proposal for the treatment of argument from analogy in law. (shrink)

Sometimes analogy researchers talk as if the freshness of an experience of analogy resides solely in seeing that something is like something else -- seeing that the atom is like a solar system, that heat is like flowing water, that paint brushes work like pumps, or that electricity is like a teeming crowd. But analogy is more than this. Analogy isn't just seeing that the atom is like a solar system; rather, it is seeing something new (...) about the atom, an observation enabled by 'looking' at atoms from the perspective of one's understanding of solar systems. The question for analogy researchers then is this: Where does this new knowledge about atoms come from? How can an analogy provide new knowledge and new understanding? (shrink)

The purpose of this paper is to present two kinds of analogical representational change, both occurring early in the analogy-making process, and then, using these two kinds of change, to present a model unifying one sort of analogy-making and categorization. The proposed unification rests on three key claims: (1) a certain type of rapid representational abstraction is crucial to making the relevant analogies (this is the first kind of representational change; a computer model is presented that demonstrates this (...) kind of abstraction), (2) rapid abstractions are induced by retrieval across large psychological distances, and (3) both categorizations and analogies supply understandings of perceptual input via construing, which is a proposed type of categorization (this is the second kind of representational change). It is construing that finalizes the unification. (shrink)

The purpose of this paper is to analyze the structure and the defeasibility conditions of argument from analogy, addressing the issues of determining the nature of the comparison underlying the analogy and the types of inferences justifying the conclusion. In the dialectical tradition, different forms of similarity were distinguished and related to the possible inferences that can be drawn from them. The kinds of similarity can be divided into four categories, depending on whether they represent fundamental semantic features (...) of the terms of the comparison or non-semantic ones, indicating possible characteristics of the referents. Such distinct types of similarity characterize different kinds of analogical arguments, all based on a similar general structure, in which a common genus is abstracted. Depending on the nature of the abstracted common feature, different rules of inference will apply, guaranteeing the attribution of the analogical predicate to the genus and to the primary subject. This analysis of similarity and the relationship thereof with the rules of inference allows a deeper investigation of the defeasibility conditions. (shrink)

Traditionally, the ideas of “intuitive” and “discursive” forms of understanding have been seen as near opposites. Whereas an intuitive understanding could have a direct grasp of something, a discursive understanding would always depend on what is given to it, as mediated by concepts. In this essay, I suggest that Paul Ricoeur’s conception of analogy presents a way of overcoming this opposition. For Ricoeur, an analogy works within discursive understanding, but it depends on an eventful insight that leads beyond (...) what is merely given in discourse. The analogy “gives more” for thought. Yet, as I argue, what analogy gives for thought is always explicable in conceptual terms: any intuitive understanding is commensurate with a discursive one. I illustrate Ricoeur’s mediation of discursive and intuitive understanding in particular with his conception of metaphor, which vividly depends on overcoming a discursive contradiction by analogical and intuitive means. Before introducing Ricoeur’s conception, I discuss the Kantian background of the intuitive/discursive distinction. In particular, I suggest how Goethe’s attempt to revitalize a notion of intuitive understanding can be compared to Ricoeur’s conception, though Ricoeur improves upon Goethe by grounding intuition in the specific phenomenon of analogy. (shrink)

St. Anselm is a master of philosophical prose. His writings on God, truth, and free will are models of clarity born of unflagging concern for argumentative precision. He is especially adept at using analogies to cinch his readers' understanding of these recondite matters. Who could forget the light shed upon the concept of existence by the Painter Analogy in the Ontological Argument or how his River Analogy illumines the unification of the Holy Trinity? Such intellectual insights could only (...) be gifts of the Holy Ghost for the edification of Holy Mother Church. I shall discuss here the three splendid analogies that St. Anselm draws in De Concordia in order to reconcile grace and free will, fostering an understanding of co-operation according to which divine assistance must accentuate, rather than nullify, exercises of human freedom. Central to my discussion is The Father of Scholasticism's four-fold distinction between a power, its exercises, the effects of those exercises, and opportunities to bring about those effects. (shrink)

It has often been said that metaphors are based on analogies, but the nature of this relation has never been made precise. This article rigorously and formally specifies two semantic relations that do obtain between some metaphors and analogies. We argue that analogies often provide conditions of meaningfulness and truth for metaphors. An analogy is treated as an isomorphism from a source to topic domain. Metaphors are thought of as surface structures. Formal analogical conditions of meaningfulness and truth are (...) fully and rigorously worked out for several grammatical classes of metaphors. By providing analogical meaningfulness and truth conditions for metaphors, this article shows that truth-conditional semantics can be extended to metaphors. (shrink)

This essay (a revised version of my undergraduate honors thesis at Stanford) constructs a theory of analogy as it applies to argumentation and reasoning, especially as used in fields such as philosophy and law. The word analogy has been used in different senses, which the essay defines. The theory developed herein applies to analogia rationis, or analogical reasoning. Building on the framework of situation theory, a type of logical relation called determination is defined. This determination relation solves a (...) puzzle about analogy in the context of logical argument, namely, whether an analogous situation contributes anything logically over and above what could be inferred from the application of prior knowledge to a present situation. Scholars of reasoning have often claimed that analogical arguments are never logically valid, and that they therefore lack cogency. However, when the right type of determination structure exists, it is possible to prove that projecting a conclusion inferred by analogy onto the situation about which one is reasoning is both valid and non-redundant. Various other properties and consequences of the determination relation are also proven. Some analogical arguments are based on principles such as similarity, which are not logically valid. The theory therefore provides us with a way to distinguish between legitimate and illegitimate arguments. It also provides an alternative to procedures based on the assessment of similarity for constructing analogies in artificial intelligence systems. (shrink)

In this paper I argue that Aquinas’ account of analogy provides resources for resolving the prima facie conflict between his claims that (1) the divine relations constituting the persons are “one and the same” with the divine essence; (2) the divine persons are really distinct, (3) the divine essence is absolutely simple. Specifically, I argue that Aquinas adopts an analogical understanding of the concepts of being and unity, and that these concepts are implicit in his formulation of claims about (...) substance and relation in the Trinity. I then show how Aquinas appeals to key structural features of analogical concepts, notably, the simpliciter/secundum quid characterization, to resolve apparent conflicts between the unity of substance and distinction of relations in the Trinity. (shrink)

St. Anselm is a master of philosophical prose. His writings on God, truth, and free will are models of clarity born of unflagging concern for argumentative precision. He is especially adept at using analogies to cinch his readers' understanding of these recondite matters. Who could forget the light shed upon the concept of existence by the Painter Analogy in the Ontological Argument or how his River Analogy illumines the unification of the Holy Trinity? Such intellectual insights could only (...) be gifts of the Holy Ghost for the edification of the Holy Mother Church. I shall discuss here the three splendid analogies that St. Anselm draws in De Concordia in order to reconcile grace and free will, fostering an understanding of cooperation according to which divine assistance must accentuate, rather than nullify, exercises of human freedom. Central to my discussion is The Father of Scholasticism's four-fold distinction between a power, its exercises, the effects of those exercises, and opportunities to bring about those effects. (shrink)

This research paper aims to study analogy as a comparative thinking and to investigate whether it is justified in claiming that an analogical thought has cognitive content. Two theories in cognitive science claim that analogy has cognitive content. The first one is called the weak view of analogy in cognition, e.g. the works of Gust et al. (2008), Lakoff & Johnson (1980), Hesse (1950), Black (1955); and the second one is called the strong view of analogy (...) in cognition, e.g. the works of Hofstadter (2001), Hofstadter& Sanders (2013). According to the weak view, analogical thought is only a necessary condition of cognition. But for the strong view, analogy is both necessary and sufficient of cognition. Regardless of the differences, both theories are not justified in claiming analogical content. While the weak view cannot provide an account of the perceptual aspect of content, the strong view suffers from the lack of normative constraint for analogical content. -/- Keywords: analogy, comparative thinking, concept, cognitive content, philosophy of cognitive science . (shrink)

This paper investigates a famous argument, first introduced by Richard Taylor, that attempts to establish a radical similarity in the concepts of space and time. The argument contends that the spatial and temporal aspects of material bodies are much more alike, or analogous, than has been hitherto acknowledged. As will be demonstrated, most of the previous investigations of Taylor and company have failed to pinpoint the weakest link in their complex of analogies. By concentrating on their most fundamental cases, however, (...) a substantial difference, or disanalogy, can be brought to light that undermines this purported equivalence of space and time. (shrink)

The paper explores the handling of singular analogy in quantitative inductive logics. It concentrates on two analogical patterns coextensive with the traditional argument from analogy: perfect and imperfect analogy. Each is examined within Carnap’s λ-continuum, Carnap’s and Stegmüller’s λ-η continuum, Carnap’s Basic System, Hintikka’s α-λ continuum, and Hintikka’s and Niiniluoto’s K-dimensional system. Itis argued that these logics handle perfect analogies with ease, and that imperfect analogies, while unmanageable in some logics, are quite manageable in others. The paper (...) concludes with a modification of the K-dimensional system that synthesizes independent proposals by Kuipers and Niiniluoto. (shrink)

The Principle of Analogy. ABSTRACT. Sceptics question whether ‘distinctively human’ predicates such as ‘just’, ‘loving’ and ‘powerful’ can intelligibly be attributed to a divine being. If not, then a vicious form of agnosticism seems to threaten orthodox theism. Especially if one assumes a broadly empiricist semantics the challenge, whether formulated in terms of a univocal or an equivocal understanding of predicates, seems to generate intractable philosophical problems. Aquinas’ theory of analogical predication, understood either in terms of ‘analogy duorum (...) ad tertium’ or in terms of ‘analogy unus ad alterum’, is an influential response to this sceptical challenge. Difficulties in each understanding are explored and it is suggested that a more fruitful framework for understanding theistic language is to be found in late 20th century nativism of Fodor and Quine. (shrink)

Cajetan's treatment of analogy in De Nominum Analogia is well known as the most influential and sophisticated theory of a central issue in Thomistic philosophy. The late twentieth century saw that theory subject to a family of criticisms. If the critics are correct, Cajetan's analogy theory is also significant historically for exposing weaknesses latent in medieval semantic assumptions. According to the critics, the Aristotelian assumptions that words signify by means of discrete “concepts,” and that the meaning of propositions (...) depends on the significations of its component terms, cannot do justice to the complexity, variety, and flexibility of actual human discourse; in De Nominum Analogia they see the elegant structure of classical semantics collapsing under the pressure of analogical language. In this article, I examine these criticisms of Cajetan's analogy theory, and argue that, in light of both Cajetan's semantic principles and his hermeneutic practice, they fall short. The conclusion not only implies a defense of Cajetan's project, but clarifies the general philosophical alternatives available within the traditional Aristotelian semantic framework. (shrink)

Researchers have suggested since the early days of quantum theory that there are strong analogies between quantum phenomena and mental phenomena and these have developed into a vibrant new field of quantum cognition during recent decades. After revisiting some early analogies by Niels Bohr and David Bohm, this paper focuses upon Bohm and Hiley’s ontological interpretation of quantum theory which suggests further analogies between quantum phenomena and biological and psychological phenomena, including the proposal that the human brain operates in some (...) ways like a quantum measuring apparatus. After discussing these analogies I will also consider, from a quantum perspective, Hintikka’s suggestion that Kant’s notion of things in themselves can be better understood by making an analogy between our knowledge-seeking activities and an elaborate measuring apparatus. (shrink)

A model of analogical mapping is proposed that uses five principles to generate consistent and conflicting hypotheses regarding assignments of elements of a source domain to analogous elements of a target domain. The principles follow the fine conceptual structure of the domains. The principles are: (1) the principle of proportional analogy; (2) the principle of mereological analogy, (3) the principle of chain reinforcement; (4) the principle of transitive reinforcement; and (5) the principle of mutual inconsistency. A constraint-satisfaction network (...) is used to find the set of assignments that preserves the greatest relational structure of the source. In contrast to the model proposed here, most models of analogical mapping use only the principle of proportional analogy. The use of many principles is shown to be superior in that it permits smoother integration of pragmatic factors and results in a more efficient mapping process. (shrink)

We propose and investigate an Analogy Principle in the context of Unary Inductive Logic based on a notion of support by structural similarity which is often employed to motivate scientific conjectures.

The most contentious tenet of Husserl's phenomenology of feelings is his conclusion that there is an analogy between axiological reason and theoretical reason. Simply, Husserl asserts that the axiological validation of feelings is analogical to the theoretical validation of judgments. While the scholarship has debated the merits of Husserl's analogy over the last 120 years, this paper presents a new accurate interpretation, because it is the first to highlight how Husserl develops this analogy by most often comparing (...) the fulfillment of judgments to the fulfillment of wish feeling intentions. Specifically, I examine how Husserl analogizes wish fulfillment to theoretical fulfillment at different times; in the 1901 Logical Investigations, in his 1908 Lectures on Ethics, and in 1910 manuscripts from Studien zur Struktur des Bewusstseins. In light of this original interpretation, I conclude by arguing – contra popular readings – that Husserl does not over‐intellectualize feelings and their validation. (shrink)

Based on de Broglie’s wave hypothesis and the covariant ether, the Three Wave Hypothesis (TWH) has been proposed and developed in the last century. In 2007, the author found that the TWH may be attributed to a kinematical classical system of two perpendicular rolling circles. In 2012, the author showed that the position vector of a point in a model of two rolling circles in plane can be transformed to a complex vector under a proposed effect of partial observation. In (...) the present project, this concept of transformation is developed to be a lab observation concept. Under this transformation of the lab observer, it is found that velocity equation of the motion of the point is transformed to an equation analogising the relativistic quantum mechanics equation (Dirac equation). Many other analogies has been found, and are listed in a comparison table. The analogy tries to explain the entanglement within the scope of the transformation. These analogies may suggest that both quantum mechanics and special relativity are emergent, both of them are unified, and of the same origin. The similarities suggest analogies and propose questions of interpretation for the standard quantum theory, without any possible causal claims. (shrink)

In the Critique of the Power of Judgment, Immanuel Kant argues that when we form a judgment of taste, the representation goes together with a demand that we require others to share. Some commentators note that the aesthetic feeling in a judgment of taste and its expectant universality seems to display a normative necessity in the explicit judgment itself, and that the expression of this normative component is sometimes stated as a claim to which everyone ought to conform. In this (...) paper, I argue that the normative component of taste and its concomitant demand should not be interpreted too strongly as an actual expectation, but rather as only a conceivable possibility. Toward this end, I examine several passages for the declaration of taste to call into view certain caveats which suggest that Kant’s description of an intersubjective demand arising concomitantly with a judgment of taste functions only as an “analogical ought,” i. e., that the demand of taste is expressed as if the satisfaction I feel in a judgment of taste can possibly demand universal assent. (shrink)

I argue that Stephen Wykstra’s much discussed Parent Analogy is helpful in responding to the evidential problem of evil when it is expanded upon from a positive skeptical theist framework. This framework, defended by John Depoe, says that although we often remain in the dark about the first-order reasons that God allows particular instances of suffering, we can have positive second-order reasons that God would create a world with seemingly gratuitous evils. I respond to recent challenges to the Parent (...) Analogy by arguing that God, like a good parent, wants a rightly ordered relationship of mutual love with created beings. (shrink)

This paper investigates conceptions of explanation, teleology, and analogy in the works of Immanuel Kant (1724-1804) and Georges Cuvier (1769-1832). Richards (2000, 2002) and Zammito (2006, 2012, 2018) have argued that Kant’s philosophy provided an obstacle for the project of establishing biology as a proper science around 1800. By contrast, Russell (1916), Outram (1986), and Huneman (2006, 2008) have argued, similar to suggestions from Lenoir (1989), that Kant’s philosophy influenced the influential naturalist Georges Cuvier. In this article, I wish (...) to expand on and further the work of Russell, Outram, and Huneman by adopting a novel perspective on Cuvier and considering (a) the similar conceptions of proper science and explanation of Kant and Cuvier, and (b) the similar conceptions of the role of teleology and analogy in the works of Kant and Cuvier. The similarities between Kant and Cuvier show, contrary to the interpretation of Richards and Zammito, that some of Kant’s philosophical ideas, whether they derived from him or not, were fruitfully applied by some life scientists who wished to transform life sciences into proper sciences around 1800. However, I also show that Cuvier, in contrast to Kant, had a workable strategy for transforming the life sciences into proper sciences, and that he departed from Kant’s philosophy of science in crucial respects. (shrink)

A "good" arguer is like an architect with a penchant for civil and civic engineering. Such an arguer can design and present their reasons artfully about a variety of topics, as good architects do with a plenitude of structures and in various environments. Failures in this are rarely hidden for long, as poor constructions reveal themselves, often spectacularly, so collaboration among civical engineers can be seen as a virtue. Our logical virtues should be analogous. When our arguments fail due to (...) being uncivil and demagogic, since we inhabit the arguments we build, we are all crushed beneath our flawed reasoning. This mixed metaphor takes us to a self-referential analysis of argumentation, analogy, and humor. I argue that good argumentation strives to collaboratively convince rather than belligerently persuade. A convincing means toward this end is through humorous analogical arguments, whether the matter at hand is ethical, logical, theological, phenomenological, epistemological, metaphysical, political, or about baseball. (shrink)

The evolution of arm-leg relationships presents something of a problem for embodied cognitive science. The affordances of habitual bipedalism and upright posture make our two sets of appendages and their interrelationships distinctively human, but these relations are largely neglected in evolutionary accounts of embodied cognition. Using a mixture of methods from historical linguistics, Cognitive Linguistics and linguistic anthropology to analyze data from languages around the world, this paper identifies a robust, dynamic set of part-whole relations that emerge across the human (...) waistline between upper and lower appendage sets cross-culturally. The general pattern—identified as “arm-leg syncretism”—provides a plausible primary source for the uniquely human penchant for creative analogy, or “double-scope conceptual blending”, said to underlie the human language faculty (Fauconnier and Turner 2002, 2008; Deely 2002; Anttila 2003; Bybee 2010). This account not only addresses a conspicuous gap in the literature but also enables us to better understand what it means to be human—including how we came to be unique among other species and how we are still vitally interrelated with other species. Deely (2010) blends both sides of this tension into a single phrase: “the semiotic animal”. The paper further develops this distinction by drawing attention to one of the roles upright posture played in the emergence of semiotic consciousness. (shrink)

In this paper, I focus on the important semantic components involved in analogy in hopes of providing an epistemic ground for predicating names of God analogously. To this task, I address a semantic/epistemic problem, which concludes that the doctrine of analogy lacks epistemological grounding insofar as it presupposes a prior understanding of God in order to sufficiently alter a given concept to be proportionate to God. In hopes of avoiding this conclusion, I introduce Aquinas’s specifically semantic aspects that (...) follow after the real distinction between a thing’s esse and its essence or form in the context of analogy and show that the ratio of a term can be altered in a way proportionate to a consideration of the mode of being of God. (shrink)

Wittgenstein’s analogy between psychoanalysis and his later philosophical methods is explored and developed. Historical evidence supports the claim that Wittgenstein characterized an early version of his general remarks on philosophy (§§89-133 in the Philosophical Investigations) as a sustained comparison with psychoanalysis. A non-adversarial, therapeutic interpretation is adopted towards Wittgenstein which emphasizes his focus on dissolving the metaphysical puzzlement of particular troubled individuals. A “picture” of Freudian psychoanalysis is sketched which highlights several features of Freud’s therapeutic techniques and his conception (...) of a neurosis. This portrait of Freud’s methods is used as an “object of comparison” for drawing attention to important aspects of Wittgenstein’s later practice of philosophy. Wittgenstein’s therapeutic conception of philosophy, though concerned with ordinary linguistic practices, is held to focus primarily on rooting out the prejudices and dogmas which lie at the heart of the puzzled philosopher’s inclinations to make metaphysical assertions. (shrink)

The Logic of Analogy is a study of the valid logical forms of qualitative and quantitative analogical argument, and the rules pertaining to them. It investigates equally valid conflicting arguments, statistics-based arguments and their utility in science, arguments from precedent used in law-making or law-application, and examines subsumption in analogical terms. Included for purposes of illustration is a large section on Talmudic use of analogical reasoning.

One of the most deeply entrenched ideas in Popper's philosophy is the analogy between the growth of scientific knowledge and the Darwinian mechanism of natural selection. Popper gave his first exposition of these ideas very early on. In a letter to Donald Campbell, 1 Popper says that the idea goes back at least to the early thirties. 2 And he had a fairly detailed account of it in his "What is dialectic?", a talk given in 1937 and published in (...) 1940: 3 If we want to explain why human thought tends to try out every conceivable solution for any problem with which it is faced, then we can appeal to a highly general sort of regularity. The method by which a solution is approached is .. (shrink)