The picture of synthetic biology as a kind of engineering science has largely created the public understanding of this novel field, covering both its promises and risks. In this paper, we will argue that the actual situation is more nuanced and complex. Synthetic biology is a highly interdisciplinary field of research located at the interface of physics, chemistry, biology, and computational science. All of these fields provide concepts, metaphors, mathematical tools, and models, which are typically utilized by synthetic biologists by (...) drawing analogies between the different fields of inquiry. We will study analogical reasoning in synthetic biology through the emergence of the functional meaning of noise, which marks an important shift in how engineering concepts are employed in this field. The notion of noise serves also to highlight the differences between the two branches of synthetic biology: the basic science-oriented branch and the engineering-oriented branch, which differ from each other in the way they draw analogies to various other fields of study. Moreover, we show that fixing the mapping between a source domain and the target domain seems not to be the goal of analogical reasoning in actual scientific practice. (shrink)

Confirmation theorists seek to define a function that will take into account the various factors relevant in determining the degree to which an hypothesis is confirmed by its evidence. Among confirmation theorists, only Rudolf Carnap has constructed a system which purports to consider factors in addition to the number of instances, viz. the variety manifested by the instances and the amount of analogy between the instances. It is the purpose of this paper to examine the problem which these additional (...) factors raise for confirmation theory, and to prove that, despite Carnap's claim, no confirmation function satisfying the requirements he has specified can take account of variety and analogy. This result is first proved for a special case, and then, in a subsequent section, is generalized through the introduction of a theorem (the proof of which is given in Appendix I). In the final section of the paper it is shown that, contrary to a claim which Carnap has made, not even the concept of the "logical width" of a predicate will enable confirmation functions satisfying his requirements to take adequate account of analogies between instances. (shrink)

Recently, philosophers have discovered that they have a lot to learn from, or at least to ponder about, fiction. Many metaphysicians are attracted to fiction as a model for our talk about purported objects and properties, such as numbers, morality, and possible worlds, without embracing a robust Platonist ontology. In addition, a growing group of philosophers of mind are interested in the implications of our engagement with fiction for our understanding of the mind and emotions: If I don’t believe that (...) Anna Karenina exists, can I really pity her, or hope or desire that she extricate herself from her tragic situation? And why is there no “morality fiction,” analogous to science fiction? I suspect that philosophers have been especially comfortable thinking about fiction because it seems, at least prima facie, to employ the imagination in a way that conforms to a standard model of the mind. Specifically, contemporary philosophers tend to think of imagination as a form of mental pretense. Mental pretense can take two main forms: a cognitive attitude of supposing a set of propositions to be true (make-believe) or else an experiential state of imaging a scenario as if it were before one (imaging). Much of our pretense intertwines the cognitive and experiential modalities, of course. But both share a crucial common feature: all of one’s imaginative effort is invested in pretending that certain contents obtain. In this sense, we can understand imagination as the “offline” simulation of actual beliefs and perceptions (and perhaps other attitudes as well), where we analyze these in the normal way, as states individuated by their attitude and representational content. While I share the burgeoning interest in fiction, I want to suggest that we also have a lot to learn from poetry, and in particular from poetic metaphor. I will argue.. (shrink)

According to the variety of evidence thesis items of evidence from independent lines of investigation are more confirmatory, ceteris paribus, than, for example, replications of analogous studies. This thesis is known to fail (Bovens and Hartmann; Claveau). However, the results obtained by Bovens and Hartmann only concern instruments whose evidence is either fully random or perfectly reliable; instead, for Claveau, unreliability is modelled as deterministic bias. In both cases, the unreliable instrument delivers totally irrelevant information. We present a model that (...) formalizes both reliability and unreliability differently. Our instruments either are reliable, but affected by random error, or are biased but not deterministically so.Bovens and Hartmann’s results are counter-intuitive in that in their model a long series of consistent reports from the same instrument does not raise suspicion of ‘too-good-to-be-true’ evidence. This happens precisely because they contemplate neither the role of systematic bias, nor unavoidable random error of reliable instruments. In our model, the variety of evidence thesis fails as well, but the area of failure is considerably smaller than for Bovens and Hartmann and Claveau, and holds for (the majority of) realistic cases (that is, where biased instruments are very biased). The essential mechanism that triggers variety of evidence thesis failure is the rate of false to true positives for the two kinds of instruments. Our emphasis is on modelling beliefs about sources of knowledge and their role in hypothesis confirmation in interaction with dimensions of evidence, such as variety and consistency. (shrink)

Abstract What do we mean to say when we call some person a good business manager? And where do the criteria flow from by which we judge people good business managers? I answer these questions by drawing on von Wright's distinction between several varieties of goodness. We can then discriminate between instrumental, technical and moral senses of the expression ?to be a good business manager?. The first two senses presume that business managers have a characteristic task or that they (...) engage in typical activities. It is natural to specify this task and these activities by appealing to goods and to the good of a business. These goods may then be identified as goods for people. Insofar as the welfare of people is of moral value, we obtain a morally loaded account of business management. I argue against this account and plead for a more sober understanding of economic goods and of the good of a business. The latter can be understood in analogy to the good of an individual person, but is largely determined by the goals of the founders and owners. Economic goods are things that are wanted by some people and thus exchanged on markets. If this is so, then there is no direct conceptual path from instrumentally or technically good business managers to morality even though there are certain affinities. To conclude, I trace the consequences for our understanding of business ethics. (shrink)

The paper contains some algebraic results on several varieties of algebras having an (interlaced) bilattice reduct. Some of these algebras have already been studied in the literature (for instance bilattices with conflation, introduced by M. Fit- ting), while others arose from the algebraic study of O. Arieli and A. Avron’s bilattice logics developed in the third author’s PhD dissertation. We extend the representation theorem for bounded interlaced bilattices (proved, among others, by A. Avron) to un- bounded bilattices and prove (...) analogous representation theorems for the other classes of bilattices considered. We use these results to establish categorical equivalences between these structures and well-known varieties of lattices. (shrink)

Contemporary historians of logic tend to credit Bernard Bolzano with the invention of the semantic notion, of consequence, a full century before Tarski. Nevertheless, Bolzano's work played no significant rôle in the genesis of modern logical semantics. The purpose of this paper is to point out three highly original, and still quite relevant themes in Bolzano's work, being a systematic study of possible types of inference, of consistency, as well as their meta-theory. There are certain analogies with Tarski's concerns here, (...) although the main thrust seems to be different, both philosophically and technically. Thus, if only obliquely, we also provide some additional historical perspective on Tarski's achievement. (shrink)

According to the Variety of Evidence Thesis items of evidence from independent lines of investigation are more confirmatory, ceteris paribus, than e.g. replications of analogous studies. This thesis is known to fail Bovens and Hartmann, Claveau. How- ever, the results obtained by the former only concern instruments whose evidence is either fully random or perfectly reliable; instead in Claveau, unreliability is modelled as deterministic bias. In both cases, the unreliable instrument delivers totally irrelevant information. We present a model which formalises (...) both reliability, and unreliability, differently. Our instruments are either reliable, but affected by random error, or they are biased but not deterministically so. Bovens and Hartmann’s results are counter-intuitive in that in their model a long series of consistent reports from the same instrument does not raise suspicion of “too-good-to- be-true” evidence. This happens precisely because they neither contemplate the role of systematic bias, nor unavoidable random error of reliable instruments. In our model the Variety of Evidence Thesis fails as well, but the area of failure is considerably smaller than for Bovens and Hartmann, Claveau and holds for realistic cases. The essential mechanism which triggers VET failure is the rate of false to true positives for the two kinds of instruments. Our emphasis is on modelling beliefs about sources of knowledge and their role in hypothesis confirmation in interaction with dimensions of evidence, such as variety and consistency. (shrink)

We solve several open problems on the cardinality of atoms in the subvariety lattice of residuated lattices and FL-algebras [4, Problems 17—19, pp. 437]. Namely, we prove that the subvariety lattice of residuated lattices contains continuum many 4-potent commutative representable atoms. Analogous results apply also to atoms in the subvariety lattice of FL i -algebras and FL o -algebras. On the other hand, we show that the subvariety lattice of residuated lattices contains only five 3-potent commutative representable atoms and two (...) integral commutative representable atoms. Inspired by the construction of atoms, we are also able to prove that the variety of integral commutative representable residuated lattices is generated by its 1-generated finite members. (shrink)

Contemporary historians of logic tend to credit Bernard Bolzano with the invention of the semantic notion of consequence, a full century before Tarski. Nevertheless, Bolzano's work played no significant rôle in the genesis of modern logical semantics. The purpose of this paper is to point out three highly original, and still quite relevant themes in Bolzano's work, being a systematic study of possible types of inference, of consistency, as well as their meta-theory. There are certain analogies with Tarski's concerns here, (...) although the main thrust seems to be different, both philosophically and technically. Thus, if only obliquely, we also provide some additional historical perspective on Tarski's achievement. (shrink)

Helm criticizes contemporary—largely analytic—work in philosophy of religion which closes off dispute or objection by a simple appeal to "the grammar of religious language" or to "what the believer would say." "The argument of this book is that such approaches involve an important error in philosophical method, for they rest on the mistaken assumption that the ‘religious believer’ has an unmistakable identity, and that ‘religious language’ is a distinct, homogeneous form of language". The issue is methodological because it focuses on (...) "the conceptual imperialism that has plagued accounts of religious belief". Helm believes that philosophical models will more adequately and less dogmatically reflect the pluralism and complexity of religion if we separate religion or theology from metareligion or metatheology. Thus, Part I of the book argues for this distinction and for the interpenetration of meta- and object-languages, in order to reject what are presented as straightforward appeals to an uncontroversial univocity in the logic or language of religious belief. Part II illustrates the inadequacy of such appeals by describing four prominent models of religious belief: 1) the probability model, based on empirical data or natural analogies ; 2) the self-authentication model, based on the intuitively grasped character of a document ; 3) the regulative model, based on morality ; and 4) the acquaintance model, based on immediate awareness and a free or unconstrained interpretation. Part III suggests how each of these four paradigm theories might respond to the two basic questions in Flew’s "falsificationist challenge": What would falsify p? and What reasons would induce A to change his mind as to the truth of p? The variety of the responses is intended to reinforce Helm’s contention that philosophers must give over question-begging methodologies which surreptitiously impose favored models on religious belief.—C.A.C. (shrink)

. In this article I review the efforts of eighteen scientists and theologians, recorded in this book, to describe the relation of God to the universe during a conference sponsored by the John Templeton Foundation at Windsor Castle in 2001. Theologians from several branches of Christian faith articulate their understanding of panentheism, revealing a considerable diversity. I deal with each author in relation to six issues: the way God acts, how God's intimate relation to the world is to be described, (...) the relation of God to spacetime, whether God is dependent upon the world, what type of language is used, and the problem of dipolar panentheism. I identify significant differences between these authors, suggest where fruitful dialogue is possible, and distinguish between intelligibility and plausibility in comparing dipolar panentheism with other types. (shrink)

The fundamental relations that underlie cognitive comparisons—“same” and “different”—can be defined at multiple levels of abstraction, which vary in relational complexity. We compared response times to decide whether or not two sequentially‐presented patterns, each composed of two pairs of colored squares, were the same at three levels of abstraction: perceptual, relational, and system (higher order relations). For both 150 ms and 5 s inter‐stimulus intervals (ISIs), both with and without a masking stimulus, decision time increased with level of abstraction. Sameness (...) at lower complexity levels contributed to decisions based on the higher levels. The pattern of comparison times across levelswas not predictable solely from encoding times. The results indicated that relations at multiple levels of complexity can be abstracted and compared in working memory, with higher complexity levels requiring more processing time. We simulated the impact of relational complexity on response time using Learning and Inference with Schemas and Analogies (LISA), a computational model of relational comparisons based on dynamic binding of elements into roles in a relational working memory. (shrink)

Helmut Reich’s theory of relational and contextual reasoning is a courageous initiative for the resolution of cognitive conflicts between apparently incompatible or incommensurable views. Built upon Piagetian logico-mathematical reasoning, cognitive complexity theory, and dialectical and analogical reasoning, it includes the development of a both/and logic inclusive of binary either/or logic. Reich provides philosophic, theoretical, and even initial empirical support for the development of this form of reasoning along with a heuristic for its application. A valuable step beyond the limits of (...) binary, static, and formal reasoning, it takes relationship, context, and perspectival variations seriously in an explicitly reflective and iterative system. We can and do address conflicts not resolvable by conventional appeals to logic or evidence, including those at epistemic boundaries or produced by belief-commitment differences. Although this form of reasoning has real promise, including stepping beyond complementarity in the religion-science dialogue, it seems better directed to causally explanatory theories than to other forms of rendering meaning. Finally, its coextension requirement may render it problematic where functionally coherent explananda cannot be identified or are themselves produced or constituted by a belief system. (shrink)

The fundamental relations that underlie cognitive comparisons—“same” and “different”—can be defined at multiple levels of abstraction, which vary in relational complexity. We compared response times to decide whether or not two sequentially‐presented patterns, each composed of two pairs of colored squares, were the same at three levels of abstraction: perceptual, relational, and system (higher order relations). For both 150 ms and 5 s inter‐stimulus intervals (ISIs), both with and without a masking stimulus, decision time increased with level of abstraction. Sameness (...) at lower complexity levels contributed to decisions based on the higher levels. The pattern of comparison times across levelswas not predictable solely from encoding times. The results indicated that relations at multiple levels of complexity can be abstracted and compared in working memory, with higher complexity levels requiring more processing time. We simulated the impact of relational complexity on response time using Learning and Inference with Schemas and Analogies (LISA), a computational model of relational comparisons based on dynamic binding of elements into roles in a relational working memory. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Contemporary Varieties of Religious Experience: James's Classic Study in Light of Resiliency, Temperament, and TraumaSami PihlströmLynn Bridgers Contemporary Varieties of Religious Experience: James's Classic Study in Light of Resiliency, Temperament, and Trauma. Lanham, MD: Rowman & Littlefield, 2005. viii + 227 pp. Foreword by James W. Fowler.Scholars of pragmatism have for a long time insisted that William James—like most classical American philosophers—is "our contemporary", a thinker (...) highly relevant to our problems, not only to the problems of the past. Theologian and scholar of religious education Lynn Bridgers argues that James's The Varieties of Religious Experience, in particular, is not only an historically influential treatise on the psychology of religious experience but a work which continues to speak to us, offering crucial insights to what religious life amounts to a century later.James might have enjoyed Bridgers's personal way of opening the discussion. In the introduction, she refers to her own conversion, her "heartfelt [End Page 454] encounter with the Divine", her own "powerful religious experience" (2–3). It is in the context of her own religious life that she finds it rewarding to return to James's discussion of the types of religious temperament and to compare his classification to contemporary psychological accounts of religious experience, particularly in studies of resiliency and posttraumatic spirituality. This certainly is one way of emphasizing that James indeed is our contemporary and should not be neglected in attempts to understand the place of religion in human life today. Not only is a return to James important academically; Bridgers also recommends that religious institutions follow James in supporting a "more varied range of religious offerings in recognition of documented varieties in religious temperament and development" (7).Bridgers offers an interesting selection of evidence, "1902 to 2002", for the existence of the three basic categories of religious temperament James distinguishes in Lectures IV–XI of the Varieties,1 namely, the "healthy-minded" prophet (ch. 4), the "sick soul" leading a monastic life in order to find unification for her/his "divided self" (ch. 5), and the "mystic" experiencing a dramatic conversion (ch. 6), before going on to explore, in her concluding chapter 7, some theological analogies of these categories (viz., the prophetic theology of Irenaeus, the monastic tradition as established by Augustine, and the spontaneity of radical "spiritual innovators"). Before laying out this empirically rich—and somewhat confusing—material, Bridgers introduces, in the first three chapters, James's basic themes and methodology (ch. 1), his pluralism and experiential perspective, as articulated in the Varieties and the works leading up to it (ch. 2), and the comparison of his conversion typology to recent empirical studies by Jerome Kagan and others (ch. 3).The author's own method is largely Jamesian: she quotes at length from the sources she finds illuminating, just as James does in the Varieties. Philosophically, the crucial parts of the book are the ones in which she interprets James's method (and, hence, her own) as "phenomenological". Surveying "religious feelings and religious impulses", or the "developed subjective phenomena" finding their expression "in works of piety and autobiography", James "undertook what today we recognize as a phenomenological description of religious experience" (6).2 The phenomenological method, for him as well as for Bridgers, is above all "experiential" and focuses on "extremes in experience", especially on the fruits of those experiences (8).This phenomenological reading of James—of James's ways of reading the sources he uses in the Varieties—could have been defended in a more detailed manner, although James's "phenomenology" has already been emphasized by others, especially James Edie, to whom Bridgers refers (8–9, 12, 29).3 In this context, it is natural to compare James's method with the approach known as the phenomenology of religion, represented by Rudolf Otto and Mircea Eliade, among others. These thinkers are mentioned by Bridgers (9), but she prefers to connect James with the main figures of the [End Page 455] philosophical movement of phenomenology, especially its founder Edmund Husserl and further developers like Maurice Merleau-Ponty, plausibly arguing that James to some extent influenced these philosophers' method of describing experience directly "as it is... (shrink)

Peter Achinstein gives in his papers [1] and [2] interesting analyses of some problems of inductive logic and of some approaches I have proposed. I shall discuss here some of these problems in order to clarify my present position. My comments will mainly concern the variety of instances, and only briefly the analogy influence, and the inductive methods for a coordinate language.

In this article we will focus our attention on the variety of distributive bisemilattices and some linguistic expansions thereof: bounded, De Morgan, and involutive bisemilattices. After extending Balbes’ representation theorem to bounded, De Morgan, and involutive bisemilattices, we make use of Hartonas–Dunn duality and introduce the categories of 2spaces and 2spaces\. The categories of 2spaces and 2spaces\ will play with respect to the categories of distributive bisemilattices and De Morgan bisemilattices, respectively, a role analogous to the category of Stone spaces (...) with respect to the category of Boolean algebras. Actually, the aim of this work is to show that these categories are, in fact, dually equivalent. (shrink)

I start by using “Frankfurt-type” examples to cast preliminary doubt on the “Objective View” - that one is blameworthy for an action only if that action is objectively wrong, and follow by providing further arguments against this view. Then I sketch a replacement for the Objective View whose core is that one is to blame for performing an action, A, only if one has the belief that it is morally wrong for one to do A, and this belief plays an (...) appropriate role in the etiology of one's A-ing. I next defend this core against recently advanced objections and then show how it helps with defusing a skeptical challenge from the direction of causal determinism against blameworthiness. Finally, I exploit the core to isolate an analogous epistemic core for nonmoral but “normative” varieties of blameworthiness. (shrink)

The purpose of this article is to invigorate debate concerning the nature of analogy, and to broaden the scope of current conceptions of analogy. We argue that analogizing is not a single or even a fundamental cognitive process. The argument relies on an analysis of the history of the concept of analogy, case studies on the use of analogy in scientific problem solving, cognitive research on analogy comprehension and problem solving, and a survey of computational (...) mechanisms of analogy comprehension. Analogizing is regarded as a macrocognitive phenomenon having a number of supporting processes. These include the apperception of resemblances and distinctions, metaphor, and the balancing of semantic flexibility and inference constraint. Psychological theories and computational models have generally relied on (a) a sparse set of ontological concepts (a property called “similarity” and a structuralist categorization of types of semantic relations), (b) a single form category (i.e., the classic four-term analogy), and (c) a single set of morphological distinctions (e.g., verbal vs. pictorial analogies). This article presents a classification based on a “naturalistic” exploration of the variety of uses of analogical reasoning in pragmatically distinct contexts. The resultant taxonomy distinguishes pre-hoc, ad-hoc, post-hoc, pro-hoc, contra-hoc, and trans-hoc analogy. Each will require its own macrocognitive modeling, and each presents an opportunity for research on phenomena of reasoning that have been neglected. (shrink)

Given a variety we study the existence of a class such that S1 every A can be represented as a global subdirect product with factors in and S2 every non-trivial A is globally indecomposable. We show that the following varieties (and its subvarieties) have a class satisfying properties S1 and S2: p-algebras, distributive double p-algebras of a finite range, semisimple varieties of lattice expansions such that the simple members form a universal class (bounded distributive lattices, De Morgan algebras, (...) etc) and arithmetical varieties in which the finitely subdirectly irreducible algebras form a universal class (f-rings, vector groups, Wajsberg algebras, discriminator varieties, Heyting algebras, etc). As an application we obtain results analogous to that of Nachbin saying that if every chain of prime filters of a bounded distributive lattice has at most length 1, then the lattice is Boolean. (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)

"The book's major parts, one on polarity and the other on analogy, introduce the reader to the patterns of thinking that are fundamental not only to Greek philosophy but also to classical civilization as a whole. As a leading classicist in his own right, Lloyd is an impeccable guide. His sophistication in adducing anthropological parallels to Greek models of polarity and analogy broadens his perspective, making him a forerunner in the study of what we are now used to (...) calling semiotics. A striking example of Lloyd's approach is his re-examination of the dichotomy of Olympian and chthonian gods in ancient Greek world view, which surpasses the reductionist and pseudo-historical models of sky-gods and earth-goddesses that are still commonly invoked to account for polarities in Greek pantheon. "In the second part, dealing with analogy, three crucial metaphorical models for the universe turn out to be basis for a dazzlingly wide variety of scientific and philosophical perspectives. Each model is tested in the whole spectrum of Greek artistic, philosophical and scientific thought. This work is a treasure-house of insights for experts and non experts alike." --Gregory Nagy, Harvard University. (shrink)

Analogy belongs to the class of concepts notorious for a variety of definitions generating continuing disputes about their preferred understanding. Analogy is typically defined by or at least associated with similarity, but as long as similarity remains undefined this association does not eliminate ambiguity. In this paper, analogy is considered synonymous with a slightly generalized mathematical concept of similarity which under the name of tolerance relation has been the subject of extensive studies over several decades. In this (...) approach, analogy can be mathematically formalized in terms of the sequence of binary relations of increased generality, from the identity, equivalence, tolerance, to weak tolerance relations. Each of these relations has cryptomorphic presentations relevant to the study of analogy. The formalism requires only two assumptions which are satisfied in all of the earlier attempts to formulate adequate definitions which met expectations of the intuitive use of the word analogy in general contexts. The mathematical formalism presented here permits theoretical analysis of analogy in the contrasting comparison with abstraction, showing its higher level of complexity, providing a precise methodology for its study and informing philosophical reflection. Also, arguments are presented for the legitimate expectation that better understanding of analogy can help mathematics in establishing a unified and universal concept of a structure. (shrink)

ANALOGY has not just to do with the abstruse details and niceties of metaphysics but rather underlies the structure of all metaphysical thought. It is the heart of metaphysics. No system of metaphysics can discard it, without prejudice to the richness and variety of being. Without analogy there is elimination and over-simplification. Metaphysics is far from being a straightforward science; it is highly complex and its method and style of argument are not easy to master. Its field of (...) inquiry is wide. It is the task of the metaphysician to reduce the world of things to an intelligible unity. (shrink)

Newton’s impact on Enlightenment natural philosophy has been studied at great length, in its experimental, methodological and ideological ramifications. One aspect that has received fairly little attention is the role Newtonian “analogies” played in the formulation of new conceptual schemes in physiology, medicine, and life science as a whole. So-called ‘medical Newtonians’ like Pitcairne and Keill have been studied; but they were engaged in a more literal project of directly transposing, or seeking to transpose, Newtonian laws into quantitative models of (...) the body. I am interested here in something different: neither the metaphysical reading of Newton, nor direct empirical transpositions, but rather, a more heuristic, empiricist construction of Newtonian analogies. Figures such as Haller, Barthez, and Blumenbach constructed analogies between the method of celestial mechanics and the method of physiology. In celestial mechanics, they held, an unknown entity such as gravity is posited and used to mathematically link sets of determinate physical phenomena (e.g., the phases of the moon and tides). This process allows one to remain agnostic about the ontological status of the unknown entity, as long as the two linked sets of phenomena are represented adequately. Haller et. al. held that the Newtonian physician and physiologist can similarly posit an unknown called ‘life’ and use it to link various other phenomena, from digestion to sensation and the functioning of the glands. These phenomena consequently appear as interconnected, goal-oriented processes which do not exist either in an inanimate mechanism or in a corpse. In keeping with the empiricist roots of the analogy, however, no ontological claims are made about the nature of this vital principle, and no attempts are made to directly causally connect such a principle and observable phenomena. The role of the “Newtonian analogy” thus brings together diverse schools of thought, and cuts across a surprising variety of programs, models and practices in natural philosophy. (shrink)

In this paper, I take up the conciliatory-steadfast debate occurring within social epistemology in regards to the phenomenon of peer disagreement. I will argue, because the conciliatory perspective al-lows us to understand argumentation pragmatically—as a method of problem-solving within a community rather than as a method for obtaining the truth—that in most cases, we should not simply agree to disagree.

The term “analogy” stands for a variety of methodological practices all related in one way or another to the idea of proportionality. We claim that in his first substantial contribution to electromagnetism James Clerk Maxwell developed a methodology of analogy which was completely new at the time or, to borrow John North’s expression, Maxwell’s methodology was a “newly contrived analogue”. In his initial response to Michael Faraday’s experimental researches in electromagnetism, Maxwell did not seek an analogy with (...) some physical system in a domain different from electromagnetism as advocated by William Thomson; rather, he constructed an entirely artificial one to suit his needs. Following North, we claim that the modification which Maxwell introduced to the methodology of analogy has not been properly appreciated. In view of our examination of the evidence, we argue that Maxwell gave a new meaning to analogy; in fact, it comes close to modeling in current usage. (shrink)

Although analogical reasoning has long been a popular method of reasoning in bioethics, current literature does not sufficiently grasp its variety. We assert that the main shortcoming is the fact that an analogy's value is often judged on the extent of similarity between the source situation and the target situation, while in (bio)ethics, analogies are often used because of certain dissimilarities rather than in spite of them. We make a clear distinction between dissimilarities that aim to reinforce a similar (...) approach in the source situation and the target situation and dissimilarities that aim to undermine or denounce a similar approach. The former kind of dissimilarity offers the analogy more normative force than if there were no dissimilarities present; this is often overlooked by authors who regard all relevant dissimilarities as detrimental to the analogy's strength. Another observation is that an evaluation of the normative force of an analogy cannot be made independently of moral principles or theories. Without these, one cannot select which elements in an analogy are morally relevant nor determine how they should be interpreted. (shrink)

The central role played by Darwin's analogy between selection under domestication and that under nature has been adequately appreciated, but I have indicated how important the domesticated organisms also were to other elements of Darwin's theory of evolution-his recognition of “the constant principle of change,” for instance, of the imperfection of adaptation, and of the extent of variation in nature. The further development of his theory and its presentation to the public likewise hinged on frequent reference to domesticates.We have (...) seen that Darwin's reliance on the analogy between domesticated varieties and wild species was a bold and original step, in light of contemporary views on the nature of domesticates. However, as Darwin undoubtedly foresaw, his reliance on the analogy created difficulties as well as solving problems, and these began with his Malthusian codiscoverer of the principle of natural selection, Alfred Russel Wallace. Wallace's paper “On the Tendency of Varieties to Depart Indefinitely from the Original Type,” presented to the Linnean Scoiety along with the first public unveiling of Darwin's theory, states: We see, then, that no inferences as to varieties in a state of nature can be deduced from the observation of those occurring among domestic animals. The two are so much opposed to each other in every circumstance of their existence, that what applies to the one is almost sure not to apply to the other. Domestic animals are abnormal, irregular, artificial; they are subject to varieties which never occur and never can occur in a state of nature.62Much has been made of the similarity of views of Darwin and Wallace, but this quotation surely reveals how utterly different their views were on what to Darwin was an important matter. Several critics of the Origin saw Darwin's reliance on the domesticates as his Achilles heel. As Young has pointed out, Samuel Wilberforce included the following passage in his attack on the Origin: Nor must we pass over unnoticed the transference of the argument from the domesticated to the untamed animals. Assuming that man as the selector can do much in a limited time, Mr. Darwin argues that Nature, a more powerful, a more continuous power, working over vastly extended ranges of time, can do more. But why should Nature, so uniform and persistent in all her operations, tend in this instance to change? Why should she become a selector of varieties?63Another critic, Fleeming Jenkin, found the analogy a weakness in Darwin's theory because of the limited extent of variation in any one direction in domestic animals and plants.64 We have already seen that Darwin had confided a similar view to his notebook thirty years earlier, but changed his mind as a result of his profound study of domesticates. De Beer's reference to “an English country gentleman's knowledge of domestic plants and animals and their breeding”65 fails totally to recognize the originality and depth of Darwin's knowledge of domesticates.Why did Darwin, against the currents of his time, rely so heavily on mankind's experience with domesticated organisms to shape his theory about species in nature? On reason is that only with domesticates was an approach that came close to experimental verification possible. Darwin fully realized the inadequacies of the experiment, as is emphasized by his repeated contrasting of selection under nature and selection by man. Yet the extensive experience and data of plant and animal breeders offered the only reliable base against which Darwin could continually challenge his views. As he wrote in the introduction to Variation, with domestication, “man ... may be said to have been trying an experiment on a gigantic scale.”66 Given Darwin's high opinion of the quantitative work of Malthus and Quetelet (as emphasized by Schweber),67 and his unremitting efforts to secure data by which to test his theories, it was inevitable that he should attach high significance to domesticated varieties. John Tyndall, in his Belfast address of 1874, said: “The strength of the doctrine of Evolution consists, not in experimental demonstration (for the subject is hardly accessible to this mode of proof), but in its general harmony with scientific thought.”68 Darwin would have agreed with the latter thought, but I think he would have challenged the preceding one on the grounds that long experience with domesticated varieties did provide an element of experimental demonstration. It gave him confidence in his theory, and he used his vast knowledge of artificial selection boldly and creatively. (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)

Many accounts of analogy based on sentential semantics owe their continued popularity more to a lack of theoretical specificity than to their superior explicative power. I examine a recent attempt to remedy this situation.Conclusion: Once the sentential semantics account of analogy is spelled out in sufficient detail to permit its systematic application to a variety of cases, it quickly becomes apparent why it must fail, and why we should give preference to a multi-constraint theory of cognitive process instead.

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)

Since the first decade of the 14th Century, Thomas Aquinas’s disciples have struggled to explain and defend his doctrine of analogy. Analogy after Aquinas: Logical Problems, Thomistic Answers relates a history of prominent Medieval and Renaissance Thomists’ efforts to solve three distinct but interrelated problems arising from their reading both of Aquinas’s own texts on analogy, and from John Duns Scotus’s arguments against analogy and in favor of univocity in Metaphysics and Natural Theology. The first of (...) these three problems concerns Aquinas’s at least apparently disparate statements on whether a name is said by analogy through a single concept or through diverse concepts. The second problem concerns the model of analogy suited for predicating names analogously across the categories of being or about God and creatures. Is “being” said analogously about God and creatures, or substance and accidents, on the model of how “healthy” is said of medicine and an animal, or on the model of how “principle” is said of a point and a line? The third problem comes from outside challenges to Aquinas’s thought, in particular Scotus’ claims that univocal names alone can mediate valid demonstrations, and any demonstration that failed to use its mediating terms univocally would fail by the fallacy of equivocation. Analogy after Aquinas makes a unique contribution to the study of philosophical theology in the tradition of Thomas Aquinas by showing the historical and philosophical connection between these three problems, as well as the variety of solutions proposed by leading representatives of this tradition. Thomists considered in the book include: Hervaeus Natalis (1250-1323), Thomas Sutton (1250-1315), John Capreolus (1380-1444), Dominic of Flanders (1425-1479), Paul Soncinas (d. 1494), Thomas dio vio Cajetan (1469-1534), Francis Silvestri of Ferrara (1474-1528), and Chrysostom Javelli (1470-1538). (shrink)

In this paper, I do three things. First, I say what I mean by a ‘companions in guilt’ argument in meta-ethics. Second, I distinguish between two kinds of argument within this family, which I call ‘arguments by entailment’ and ‘arguments by analogy’. Third, I explore the prospects for companions in guilt arguments by analogy. During the course of this discussion, I identify a distinctive variety of argument, which I call ‘arguments by absorption’. I argue that this variety of (...) argument inherits some of the weaknesses of standard arguments by analogy and entailment without obviously adding to their strength. (shrink)

ABSTRACTThis article considers some analogies for religion which are so common in our ordinary language that they might pass without notice. I explore five in detail to show how each in different ways limits what we can say, and indeed think, about religion. By using multiple religious belonging as an example, I am able to compare the things we ordinarily say about religion with the complexities of real, lived religion and illustrate some of the ways in which our analogies for (...) religion fall short. Many of these analogies are so ‘natural’ – so deeply embedded in the ways ordinary language works – that without this specific attention, they can shape what can be said about religion without the speaker noticing. Often, this makes things which the sociological evidence shows people are getting on and doing, like practising multiple religious belonging, seem ‘impossible’ when we try to describe them. By paying attention to the analogies which underlie this sensation, I am able to show that a wider variety of analogies, used with more conscious attention, can be employed to allow us to think more clearly about complex lived religion, including multiple religious belonging. (shrink)

James Ross tells us that his is the most sustained and systematic account of analogy in 500 years; he places his work beside the classical theories of Aristotle, Aquinas, and Cajetan. The boast may not be far off the mark, for this is a most significant treatise. What we have here is an explanation of a deeply pervasive feature of language. Its subject matter is the obvious occurrence in speech of the same word with different meanings. In its systematic (...) explanation the book classifies the variety of same word/different meaning relationships, identifies the basic principles and underlying structures of the phenomena, and shows the necessities at work in the generation of meaning through this analogy feature of language. The thesis boldly stated reads: "analogy of meaning... is the consequence of underlying synchronic structure composed of linguistic inertia... and linguistic force". Ross calls his work a portrayal rather than a science, and properly so, for the key predicates in his account are metaphorically extended from other realms of discourse. Words such as linguistic inertia, force, dominate, entrenchment, craftbound, and benchmark are given extended life in this special discourse on analogy. (shrink)

The COVID-19 pandemic has created unusually challenging and dangerous workplace conditions for key workers. This has prompted calls for key workers to receive a variety of special benefits over and above their normal pay. Here, we consider whether two such benefits are justified: a no-fault compensation scheme for harm caused by an epidemic and hazard pay for the risks and burdens of working during an epidemic. Both forms of benefit are often made available to members of the armed forces for (...) the harms, risks and burdens that come with military service. We argue from analogy that these benefits also ought to be provided to key workers during an epidemic because, like the military, key workers face unavoidable harms, risks and burdens in providing essential public good. The amount of compensation should be proportional to the harm suffered and the amount of hazard pay should be proportional to the risk and burden endured. Therefore, key workers should receive the same amount of compensation and hazard pay as the military where the harms, risks and burdens are equivalent. In the UK, a form of no-fault compensation has recently been made available to the surviving families of key workers who suffer fatal COVID-19 infections. According to our argument, however, it is insufficient because it offers less to key workers than is made available to the families of armed services personnel killed on duty. (shrink)

Finitary quasivarieties are characterized categorically by the existence of colimits and of an abstractly finite, regularly projective regular generator G. Analogously, infinitary quasivarieties are characterized: one drops the assumption that G be abstractly finite. For (finitary) varieties the characterization is similar: the regular generator is assumed to be exactly projective, i.e., hom(G, –) is an exact functor. These results sharpen the classical characterization theorems of Lawvere, Isbell and other authors.

Recently, the effort to counter Fake News faced a counter attack: academic »postmodernism « and »social constructivism« it was said—because they say that facts are soaked in prior interpretations—are either purveyors of Fake News or set the cultural context in which it flourishes. They do so by undermining confidence in inquiry governed by simple facts. That is erroneous, argues William E. Connolly, because postmodernism never said that facts or objectivity are ghostly, subjective or »fake«. However, that what was objective at (...) one time may become less so at a later date through the combination of a paradigm shift in theory, new powers of perception, new tests with refined instruments, and changes in natural processes such as species evolution. But the emergence of new theories and tests does not reduce objectivity to subjective opinion. Facts are real. Objectivity is important. But as you move up the scale of complexity with respect to facts and objectivity, it becomes clear that what was objective at one time may become subjective at another. Not because of Fake News or postmodernism. But because the complex relationships between theory, evidence and conduct periodically open up new thresholds. Colin Lang in turn rhetorically asks if »fake news« or »alternative facts« are a new carnival and Trump its dog and pony show? The idea of »fake news« and »alternative facts« as a carnival could not only help to see the constructedness of the media spectacle, but also provides a new perspective on Trump as an actor who is playing a particular role in this carnival, and that role is not one that any of us would describe as presidential. Many in the popular press have assumed it is just what it looks like, an infantilized narcissist, a parody of some Regan-era New York real estate tycoon straight out of a Bret Easton Ellis novel. The problem is that this description is all too obvious, and misses something fundamental about alternative facts, and the part that Trump is playing. A central assumption is, then, that the creation of alternative facts is one symptom of a more structural, paradigmatic shift in the persona of a president, one which has few correlates in the annals of political history. The closest analogy for his kind of performance is actually hinted at in the title of Trump’s greatest literary achievement: The Art of the Deal. Trump is playing the part of an artist, pilfering from the tactics of the avant-garde and putting them to very different ends. (shrink)

Recently, the effort to counter Fake News faced a counter attack: academic »postmodernism « and »social constructivism« it was said—because they say that facts are soaked in prior interpretations—are either purveyors of Fake News or set the cultural context in which it flourishes. They do so by undermining confidence in inquiry governed by simple facts. That is erroneous, argues William E. Connolly, because postmodernism never said that facts or objectivity are ghostly, subjective or »fake«. However, that what was objective at (...) one time may become less so at a later date through the combination of a paradigm shift in theory, new powers of perception, new tests with refined instruments, and changes in natural processes such as species evolution. But the emergence of new theories and tests does not reduce objectivity to subjective opinion. Facts are real. Objectivity is important. But as you move up the scale of complexity with respect to facts and objectivity, it becomes clear that what was objective at one time may become subjective at another. Not because of Fake News or postmodernism. But because the complex relationships between theory, evidence and conduct periodically open up new thresholds. Colin Lang in turn rhetorically asks if »fake news« or »alternative facts« are a new carnival and Trump its dog and pony show? The idea of »fake news« and »alternative facts« as a carnival could not only help to see the constructedness of the media spectacle, but also provides a new perspective on Trump as an actor who is playing a particular role in this carnival, and that role is not one that any of us would describe as presidential. Many in the popular press have assumed it is just what it looks like, an infantilized narcissist, a parody of some Regan-era New York real estate tycoon straight out of a Bret Easton Ellis novel. The problem is that this description is all too obvious, and misses something fundamental about alternative facts, and the part that Trump is playing. A central assumption is, then, that the creation of alternative facts is one symptom of a more structural, paradigmatic shift in the persona of a president, one which has few correlates in the annals of political history. The closest analogy for his kind of performance is actually hinted at in the title of Trump’s greatest literary achievement: The Art of the Deal. Trump is playing the part of an artist, pilfering from the tactics of the avant-garde and putting them to very different ends. (shrink)

Sounds are heard, sometimes even felt, but in most cases they remain unseen. This ephemeral and invisible nature of sound was already considered a problem when the science of acoustics took form in the seventeenth century. The fact that sound could not be seen was described as a significant hindrance to its understanding. But it was precisely during this time that a wide variety of sounds attracted broad scientific attention across Europe. Scholars, natural philosophers, and mathematicians investigated and experimented with (...) sound and musical instruments and developed theories of hearing. This article looks at the role of images, diagrams, and visualization techniques in late seventeenth-century acoustics, bringing together the history of sound and the history of scientific images. Focusing on water and light as the dominant analogies for sound, the article demonstrates that visualization was an important tool for thinking about sound and allowed for the circulation of theories and experiments. At the same time, the epistemic status of these images remained contested, as there was no single model that could explain the different ways sound behaves as it moves through space and that could be visualized. (shrink)

In this ambitious study, David Corfield attacks the widely held view that it is the nature of mathematical knowledge which has shaped the way in which mathematics is treated philosophically and claims that contingent factors have brought us to the present thematically limited discipline. Illustrating his discussion with a wealth of examples, he sets out a variety of approaches to new thinking about the philosophy of mathematics, ranging from an exploration of whether computers producing mathematical proofs or conjectures are doing (...) real mathematics, to the use of analogy, the prospects for a Bayesian confirmation theory, the notion of a mathematical research programme and the ways in which new concepts are justified. His inspiring book challenges both philosophers and mathematicians to develop the broadest and richest philosophical resources for work in their disciplines and points clearly to the ways in which this can be done. (shrink)

Contemporary literature includes a wide variety of definitions of empathy. At the same time, the revival of sentimentalism has proposed that empathy serves as a necessary criterion of moral agency. The paper explores four common definitions in order to map out which of them best serves such agency. Historical figures are used as the backdrop against which contemporary literature is analysed. David Hume’s philosophy is linked to contemporary notions of affective and cognitive empathy, Adam Smith’s philosophy to projective empathy, and (...) Max Scheler’s account to embodied empathy. Whereas cognitive and projective empathy suffer from detachment and atomism, thereby providing poor support for the type of other-directedness and openness entailed by moral agency, embodied and affective empathy intrinsically facilitate these factors, and hence are viewed as fruitful candidates. However, the theory of affective empathy struggles to explain why the experience of empathy includes more than pure affective mimicry, whilst embodied empathy fails to take into account forms of empathy that do not include contextual, narrative information. In order to navigate through these difficulties, Edith Stein’s take on non-primordial experience is used as a base upon which a definition of affective empathy, inclusive of an embodied dimension, and founded on a movement between resonation and response, is sketched. It is argued that, of the four candidates, this new definition best facilitates moral agency. (shrink)

In this ambitious study, David Corfield attacks the widely held view that it is the nature of mathematical knowledge which has shaped the way in which mathematics is treated philosophically, and claims that contingent factors have brought us to the present thematically limited discipline. Illustrating his discussion with a wealth of examples, he sets out a variety of new ways to think philosophically about mathematics, ranging from an exploration of whether computers producing mathematical proofs or conjectures are doing real mathematics, (...) to the use of analogy, the prospects for a Bayesian confirmation theory, the notion of a mathematical research programme, and the ways in which new concepts are justified. His highly original book challenges both philosophers and mathematicians to develop the broadest and richest philosophical resources for work in their disciplines, and points clearly to the ways in which this can be done. (shrink)