This paper examines the nature of model-based reasoning in the interplay between theory and experiment in the context of biomedical engineering research laboratories, where problem solving involves using physical models. These "model systems" are sites of experimentation where in vitro models are used to screen, control, and simulate specific aspects of in vivo phenomena. As with all models, simulation devices are idealized representations, but they are also systems themselves, possessing engineering constraints. Drawing on research in contemporary cognitive science that construes (...) cognition as occurring in a complex distributed system comprising people and artifacts, I argue that reasoning with model systems is a constraint satisfaction process involving co-construction, manipulation, and revision of mental and physical models. (shrink)

PARTI The Philosophical Situation: A Critical Appraisal We must begin with the mistake and find out the truth in it. That is, we must uncover the source of ...

There is substantial evidence that traditional instructional methods have not been successful in helping students to restructure their commonsense conceptions and learn the conceptual structures of scientific theories. This paper argues that the nature of the changes and the kinds of reasoning required in a major conceptual restructuring of a representation of a domain are fundamentally the same in the discovery and in the learning processes. Understanding conceptual change as it occurs in science and in learning science will require the (...) development of a common cognitive model of conceptual change. The historical construction of an inertial representation of motion is examined and the potential instructional implications of the case are explored. (shrink)

Although most philosophers are not aware of it, research in cognitive development and in learning in the last decade has made considerable use of the characterizations of the nature and development of scientific knowledge proffered by philosophers of science. In a “reflexive” move, Alison Gopnik proposes philosophers of science can profit from the research of psychologists investigating cognitive development-specifically from that group of researchers who advocate the “theory theory.”.

This note makes a contribution to the issue raised in a paper by Popper and Miller (1983) in which it was claimed that probabilistic support is purely deductive. Developing R. C. Jeffrey's remarks, a new general approach to the crucial concept of "going beyond" is here proposed. By means of it a quantitative measure of the inductive component of a probabilistic inference is reached. This proposal leads to vindicating the view that typical predictive probabilistic inferences by enumeration and analogy are (...) purely inductive. (shrink)

Mary Hesse's well-known work on models and analogies gives models a creative role to play in science, which rests on developing certain analogical properties considered neutral between the two fields. Case study material from Irving Fisher's work (The Purchasing Power of Money, 1911), in which he used analogies to construct models of monetary relations and the monetary system, highlights certain omissions in Hesse's account. The analysis points to the importance of taking account of the negative properties in the analogies and (...) to certain differences between "ready-made" analogies (models of systems based on existing analogical structures) and "designed" analogies (models built up from separate analogical features). (shrink)

In this paper we look at some of the ingredients and processes involved in the understanding of mathematics. We analyze elements of mathematical knowledge, organize them in a coherent way and take note of certain classes of items that share noteworthy roles in understanding. We thus build a conceptual framework in which to talk about mathematical knowledge. We then use this representation to describe the acquisition of understanding. We also report on classroom experience with these ideas.

The usefulness of “analogy” as an epistemological tool was at the center of a Victorian debate over the nature of historical knowledge. While researching one of her novels, George Eliot combined her obsession with historical veracity with a belief in the efficacy of analogical reasoning in the generation of historical knowledge to create a method of imaginative representation that was meant to advance our understanding of the past. Her work, along with that of her companion, G.H. Lewes, constituted a rejection (...) of the ascendant view that history needed to become an austere, inductive science, advanced by J.S. Mill, H.T. Buckle, and William Stubbs. (shrink)

This paper critiques the standard presentation of arguments from analogy in logic textbooks and offers an alternative way of understanding them which renders them both more plausible and more easily evaluated for their strength. The typical presentation presents analogies as inductive arguments in which a set of properties, known to be shared by two logical domains, supports an inference about a further property, known to belong to one domain and inferred to belong to the target domain. But framed in these (...) terms, the strength of the argument depends entirely on the relevance of the known shared properties to the inferred shared property, meaning the argument rests on an unstated assumption. Against this view, the author maintains that arguments from analogy are figurative ways of addressing properties of the target logical domain. By comparing or contrasting two logical domains, analogies articulate a general principle which illustrates something difficult to imagine or to describe literally about the target domain. Analogies can be reformulated and evaluated as deductive arguments on this view, with their chief logical import being the inquiry they incite in students as to whether the general principle is true and sufficiently general to apply to the target domain. (shrink)

Conceptual integration—“blending”—is a general cognitive operation on a par with analogy, recursion, mental modeling, conceptual categorization, and framing. It serves a variety of cognitive purposes. It is dynamic, supple, and active in the moment of thinking. It yields products that frequently become entrenched in conceptual structure and grammar, and it often performs new work on its previously entrenched products as inputs. Blending is easy to detect in spectacular cases but it is for the most part a routine, workaday process that (...) escapes detection except on technical analysis. It is not reserved for special purposes, and is not costly.In blending, structure from input mental spaces is projected to a separate, “blended” mental space. The projection is selective. Through completion and elaboration, the blend develops structure not provided by the inputs. Inferences, arguments, and ideas developed in the blend can have effect in cognition, leading us to modify the initial inputs and to change our view of the corresponding situations.Blending operates according to a set of uniform structural and dynamic principles. It additionally observes a set of optimality principles. (shrink)

The λ-continuum of inductive methods was derived from an assumption, called λ-condition, which says that the probability of finding an individual having property $x_{j}$ depends only on the number of observed individuals having property $x_{j}$ and on the total number of observed individuals. So, according to that assumption, all individuals with properties which are different from $x_{j}$ have equal weight with respect to that probability and, in particular, it does not matter whether any individual was observed having some property similar (...) to $x_{j}$ (the most complete proof of this result is presented in Carnap, 1980). The problem thus remained open to find some general condition, weaker than the λ-condition, which would allow for the derivation of probability functions which might be sensitive to similarity. Carnap himself suggested a weakening of the λ-condition which might allow for similarity sensitive probability functions (Carnap, 1980, p. 45) but he did not find the family of probability functions derivable from that principle. The aim of this paper is to present the family of probability functions derivable from Carnap's suggestion and to show how it is derived. In Section 1 the general problem of analogy by similarity in inductive logic is presented, Section 2 outlines the notation and the conceptual background involved in the proof, Section 3 gives the proof, Section 4 discusses Carnap's principle and the result, Section 5 is a brief review of the solutions which have previously been proposed. (shrink)

In 1959 Carnap published a probability model that was meant to allow forreasoning by analogy involving two independent properties. Maher (2000)derived a generalized version of this model axiomatically and defended themodel''s adequacy. It is thus natural to now consider how the model mightbe extended to the case of more than two properties. A simple extension waspublished by Hess (1964); this paper argues that it is inadequate. Amore sophisticated one was developed jointly by Carnap and Kemeny in theearly 1950s but never (...) published; this paper gives the first published descriptionof Carnap and Kemeny''s model and argues that it too is inadequate. Since noother way of extending the two-property model is currently known, the conclusionof this paper is that a satisfactory extension to multiple properties requires somenew approach. (shrink)

For quite some time, critics have attacked religious language on the grounds that theologians employed metaphors that were irreducible. By irreducible, they meant metaphors that could not be paraphrased in literal language. And any such language that could not be reduced to words that can be taken in a literal sense, would be devoid of cognitive meaning or truth value. Since theologians claimed that statements like ‘God is love’ cannot be reduced to a literal sense without robbing the concept of (...) God of its transcendent status, sceptics replied that such failures merely indicated the meaninglessness of religious language. Or, if apologists did assert that ‘God is love’ can be paraphrased by statements describing the love of one man for another, the sceptic claimed that such a move reduced religious language to anthropological language where terms like ‘God’ were superfluous. Critics argued that metaphors of religion posed the following dilemma: either religious metaphors could not be reduced to literal paraphrases and were, therefore, meaningless; or, religious metaphors could be reduced to literal paraphrases, but the method by which they were reduced eliminated the necessity for theological terminology. (shrink)

(1) The aim of the paper is to develop a reduction of fallacy theory, i.e. to 'deduce' fallacy theory from a positive theory of argumentation which provides exact criteria for valid and adequate argumentation. Such reductionism has several advantages compared to an unsystematic action, which is quite usual in current fallacy but which at least in part is due to the poor state of positive argumentation theory itself. (2) After defining 'fallacy' (3) some principle ideas and (4) the exact criteria (...) for (argumentatively) valid and adequate arguments of the 'practical theory of argumentation' of the author are expounded. These criteria will be used as the positive basis for the following reduction. (5) In the main part of the paper a systematization, definition and explanation of the main types and many subforms of fallacies of argumentative validity and (6) adequacy is developed, following the list of positive conditions of validity and adequacy. In addition to many new types of fallacies, this systematization contains the most important of the traditionally known and named fallacies; these are explained and the criteria for some of them are corrected or put more precisely. (shrink)

Without inductive reasoning, we couldn't generalize from one instance to another, derive scientific hypotheses, or predict that the sun will rise again tomorrow morning. Despite the widespread nature of inductive reasoning, books on this topic are rare. Indeed, this is the first book on the psychology of inductive reasoning in twenty years. The chapters survey recent advances in the study of inductive reasoning and address questions about how it develops, the role of knowledge in induction, how best to model people's (...) reasoning, and how induction relates to other forms of thinking. Written by experts in philosophy, developmental science, cognitive psychology, and computational modeling, the contributions here will be of interest to a general cognitive science audience as well as to those with a more specialized interest in the study of thinking. (shrink)

Are we the Citizens of just one empirical world? Have all reminiscences to the transcendental become atavistic in the political domain? This article defends the lasting relevance of the kantian doctrine of analogy for the significance of both religion and politics in post-modern times. The symbolic representation of the indemonstrable concept of practical reason itself functions as well in politics as in religion in the manner of a typology of the law and a legislation, which must be understood as the (...) always indirect representation of the absolute good will. Only this idea avoids the empirical illusions of an imaginary self-sufficient political or religious authority. All authority based on the concept of God as legislator as far as a promulgator of the moral law, with its intrinsic character of obligation, is conceived as unavoidable for the finite reason. Therefore the execution of the king during the French revolution as a legal act in itself is inconceivable as far as it intended the abrogation of the representation of the instance of executive obligation as such. All political doctrines that would claim the installation of the moral kingdom of God on earth are equally chimerical. Since Kant only claims the idea of legislation of practical reason and the guarantee of the viability of morals in the empirical world when evoking God in practical philosophy and calling upon the historical Christian religion, his theological political doctrine goes beyond the ideological political and religious setting of his time and it remains on the contrary a valuable warning for actual political and religious terrorism. (shrink)

Legal Reason describes and explains the process of analogical reasoning, which is the distinctive feature of legal argument. It challenges the prevailing view, urged by Edward Levi, Cass Sunstein, Richard Posner and others, which regards analogical reasoning as logically flawed or as a defective form of deductive reasoning. It shows that analogical reasoning in the law is the same as the reasoning used by all of us routinely in everyday life and that it is a valid form of reasoning derived (...) from the innate human capacity to recognize the general in the particular, on which thought itself depends. The use of analogical reasoning is dictated by the nature of law, which requires the application of rules to particular facts. Written for scholars as well as students and persons generally who are interested in law, Legal Reason is written in clear, accessible prose, with many examples drawn from the law and from everyday experience. (shrink)

A reply to hyslop and jackson, American philosophical quarterly, April 1972: I argue that the argument form analogy begs the question, Much as does the inductive justification of induction, Of which it is a version.

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 familiar jurisprudential view is that a judicial decision functions as a legal precedent by laying down a rule and that the content of this rule is set by officials. Precedents can be followed only by acting in accordance with this rule. This view is mistaken on all counts. A judicial decision functions as a precedent by being an example. At its best, it is an example both for officials and for a target population. Even precedents outside of law function (...) as examples when they have conduct-guiding significance. Examples may be rule-like in their scope, but need not be. Their import is independent of their justification; this point has implications for coherence theories of precedent meaning. The content and scope of a legal decision’s extension is not set exclusively by officials. It is socially set and depends upon social salience. (shrink)