Semantic View of Theories

Most philosophical accounts on scientific theories are affected by three dogmas or ingrained attitudes. These dogmas have led philosophers to choose between analyzing the internal structure of theories or their historical evolution. In this paper, I turn these three dogmas upside down. I argue (i) that mathematical practices are not epistemically neutral, (ii) that the morphology of theories can be very complex, and (iii) that one should view theoretical knowledge as the combination of internal factors and their intrinsic historicity.

Recent work on the semantic view of scientific theories is highly critical of the position. This paper identifies two common criticisms of the view, describes two popular alternatives for responding to them, and argues those responses do not suffice. Subsequently, it argues that retuning to Patrick Suppes’ interpretation of the position provides the conceptual resources for rehabilitating the semantic view.

What has fiction to do with science? At first glance, the two activities seem to have entirely different aims and products. Science aims at truth, while fiction can deviate wildly from it. Science produces theories, which we are asked to believe. Fiction produces stories, which we are asked to imagine. Given these differences, associating science and fiction might seem like a serious mistake, or even a threat to science. And yet many authors have tried to understand science by looking to (...) fiction. This article will consider three strands of thought on the topic: Hans Vaihinger’s classic work on fictions; fictionalist views, especially van Fraassen’s constructive empiricism; and recent work on models and fiction. As we will see, none of these strands pose a threat to science. Instead, each tries to understand the nature of scientific knowledge by drawing on fiction in different ways, and for different theoretical purposes. (shrink)

The question “what is an interpretation?” is often intertwined with the perhaps even harder question “what is a scientific theory?”. Given this proximity, we try to clarify the first question to acquire some ground for the latter. The quarrel between the syntactic and semantic conceptions of scientific theories occupied a large part of the scenario of the philosophy of science in the 20th century. For many authors, one of the two currents needed to be victorious. We endorse that such debate, (...) at least in the terms commonly expressed, can be misleading. We argue that the traditional notion of “interpretation” within the syntax/semantic debate is not the same as that of the debate concerning the interpretation of quantum mechanics. As much as the term is the same, the term “interpretation” as employed in quantum mechanics has its meaning beyond (pure) logic. Our main focus here lies on the formal aspects of the solutions to the measurement problem. There are many versions of quantum theory, many of them incompatible with each other. In order to encompass a wider variety of approaches to quantum theory, we propose a different one with an emphasis on pure formalism. This perspective has the intent of elucidating the role of each so-called “interpretation” of quantum mechanics, as well as the precise origin of the need to interpret it. (shrink)

In philosophy of science, several views have been espoused on the meaning of the term 'theory'; among these are the syntactic view and the semantic view. But even after decades of debate, no consensus has been reached on an all-encompassing positively defined view on theories. Here we take that to mean that the outcome of the debate is that such an all-encompassing view is nonexisting. Correspondingly, the purpose of this paper is to present a pluralist view on theories: it is (...) negatively defined, yet it may break the deadlock in the ongoing debate on the meaning of 'theory'. (shrink)

A well known conception of axiomatization has it that an axiomatized theory must be interpreted, or otherwise coordinated with reality, in order to acquire empirical content. An early version of this account is often ascribed to key figures in the logical empiricist movement, and to central figures in the early “formalist” tradition in mathematics as well. In this context, Reichenbach’s “coordinative definitions” are regarded as investing abstract propositions with empirical significance. We argue that over-emphasis on the abstract elements of this (...) approach fails to appreciate a rich tradition of empirical axiomatization in the late nineteenth and early twentieth centuries, evident in particular in the work of Moritz Pasch, Heinrich Hertz, David Hilbert, and Reichenbach himself. We claim that such over-emphasis leads to a misunderstanding of the role of empirical facts in Reichenbach’s approach to the axiomatization of a physical theory, and of the role of Reichenbach’s coordinative definitions in particular. (shrink)

This paper aims to meet an objection that has been raised against structural empiricism known as the “loss of reality objection.” I argue that an inferential approach to scientific representation allows the structural empiricist to account for the representation of phenomena by data models and ensures that such a representation is not arbitrary. By the notions of immersion, derivation, and interpretation, I show how data models are able to represent phenomena in a non-arbitrary manner. I conclude this paper with a (...) programmatic outline of a view that arises from the theses defended throughout the article and that I would like to call “semantic structuralism.”. (shrink)

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

The representational theory of measurement has long been the central paradigm in the philosophy of measurement. Such is not the case anymore, partly under the influence of the critique according to which RTM offers too poor descriptions of the measurement procedures actually followed in science. This can be called the metrological critique of RTM. I claim that the critique is partly irrelevant. This is because, in general, RTM is not in the business of describing measurement procedures, be it in idealized (...) form. To support this claim, I present various cases where RTM can be said to investigate measurement without providing any measurement procedure. Such limit cases lead to a better understanding of the RTM project. They also illustrate some of the questions which the philosophy of measurement can explore, when it is ready to go beyond the metrological viewpoint. (shrink)

Semantic realism can be characterised as the idea that scientific theories are truth-bearers, and that they are true or false in virtue of the world. This notion is often assumed, but rarely discussed in the literature. I examine how it fares in the context of the semantic view of theories and in connection with the literature on scientific representation. Making sense of semantic realism requires specifying the conditions of application of theoretical models, even for models that are not actually used, (...) which leads to several difficulties. My conclusion is that semantic realism is far more demanding than one would expect. Finally, I briefly examine some pragmatist alternatives. (shrink)

The general aim of this article is to carry out a reconstruction of the theory of Population Dynamics (DP) in Ecology, according to Castle’s (2001) general stance with regard to the semantic view of theories, but doing it within the framework of metatheoretical structuralism. Thus, we will first identify Population Dynamics’ basic theory-element: its core K(DP) – with the class of potential models, the class of models (through the identification of its fundamental law) and the class of partial potential models (...) (though leaving aside the identification of its constraints and its intertheoretical links) –, and its domain of intended applications I(DP). Then, we will establish the general guiding lines of its theory-net, developing in some detail one of its main lines of specialization – namely, that related to the so-called “continuous growing” of the considered populations –, with DP’s principal “models”, and leave developing of the other of its main lines of specialization – namely, that related to the so-called “discrete growing” of the considered populations – for a further publication. (shrink)

Preface to the Thematic Volume: Models and Theories in Biology.

The structuralist reconstruction of the metabolic biochemistry here presented is a more complete and revised version than the one presented in Donolo, Federico & Lorenzano (2006). This version, as the previous one, continues with the reconstructive task initiated by César Lorenzano (2002), but advances further on those elements which remained pendent of reconstruction: applications subsequent to the paradigmatic one, for being these “too diversified and numerous” (p. 210).In line with which is said before, the objective of this new reconstruction is (...) to make the theoretical network of the biochemistry wider, in order to be able to capture the many successful applications (paradigmatic examples or exemplars) which appear in modern university textbooks. In order to accomplish this, major conceptual precisions are being introduced which will have repercussions in a modification and increased complexity of the fundamental law implicit in the text books, but still conserving the previous basic idea. Because of all this we can say that the present article goes further into the reconstruction task of the metabolic biochemistry theory. (shrink)

Resumen: Usualmente se ha asumido que una única distinción puede dar cuenta del rol que cumplen los conceptos en una teoría respecto de la contrastación y respecto de la explicación. Intentaremos mostrar que esta asunción es incorrecta. Por una parte, no hay razones para considerar que esta coincidencia deba darse, y por otra, como se intentará mostrar a partir de varios ejemplos, de hecho, no se da. La base de contrastación de una teoría no tiene por qué coincidir con el (...) explanandum de la teoría. Para defender este punto se asumirá el estructuralismo metateórico. Se extraerán consecuencias para la concepción metateórica presupuesta. Palabras claves: Explicación; contrastación; T-teoricidad; Estructuralismo metateórico; Distinción teórico observacional -/- Title: Explain and test Abstract: It is usually held that one distinction can account for the role that concepts play in a theory regarding both test and explanation. We will demonstrate that this assumption is incorrect. On the one hand, there is no reason to think that this coincidence should exist. On the other, this is not the case, as we will show analysing several examples. The testing basis of a theory does not have to coincide with the explanandum of the theory. To defend this point we will endorse de metatheoretical structuralism. In addition, we will consider some repercussions that this discussion has for the assumed metatheoretical framework. Key-words: Explanation; Test; T-theoreticity; Metatheoretical Structuralism; Theoretical observational distinction . (shrink)

Two metascientific concepts that have been ― and still are ― object of philosophical analysis are the concepts of model and theory. But while the concept of scientific theory was one of the concepts to which philosophers of science devoted most attention during the 20th century, it is only in recent decades that the concept of scientific model has come to occupy a central position in philosophical reflection. However, it has done so in such a way that, at present, as (...) Jim Bogen states in the back cover of the book Scientific Models in the Philosophy of Science, by Daniela Bailer-Jones, “[t]he standard philosophical literature on the role of models in scientific reasoning is voluminous, disorganized, and confusing”. In spite of this, one of the axes that would allow us to organize at least part of this literature, and with which Bailer-Jones’ book closes, is that which is identified as one of the “contemporary philosophical issues: how theories and models relate to each other” (Bailer-Jones 2009, p. 208).That is why, in this introduction to the special issues of Metatheoria devoted to the topic of “Models and Theories in Biology”, we will present the main advances that have been made in the philosophical analysis of the concepts of model and theory in general and in biology in particular, and we will also do the same with the answers that have been given to the problem of "how theories and models relate to each other”. (shrink)

Contemporary philosophical accounts of the applicability of mathematics in physical sciences and the empirical world are based on formalized relations between the mathematical structures and the physical systems they are supposed to represent within the models. Such relations were constructed both to ensure an adequate representation and to allow a justification of the validity of the mathematical models as means of scientific inference. This article puts in evidence the various circularities (logical, epistemic, and of definition) that are present in these (...) formal constructions and discusses them as an argument for the alternative semantic and propositional-structure accounts of the applicability of mathematics. (shrink)

Preface to the thematic volume Metatheoretical Structuralism: Some Recent Developments and Applications.

In this paper I investigate Putnam’s model-theoretic argument from a transcendent standpoint, in spite of Putnam’s well-known objections to such a standpoint. This transcendence, however, requires ascent to something more like a Tarskian meta-level than what Putnam regards as a “God’s eye view”. Still, it is methodologically quite powerful, leading to a significant increase in our investigative tools. The result is a shift from Putnam’s skeptical conclusion to a new understanding of realism, truth, correspondence, knowledge, and theories, or certain aspects (...) thereof, based on, among other things, a better understanding of what models are designed (and not designed) to do. (shrink)

In two occasions a Bibliography of Structuralism has been published in Erkenntnis (1989, 1994). Since then a lot of water has flowed under the bridge and the structuralist program has shown a continuous development. The aim of the present bibliography is to celebrate the 25th anniversary of the publication of An Architectonic for Science –structuralism’s main reference work– and of its recent translation into Spanish by updating the previous bibliographies with titles which have appeared since 1994 as well as before (...) that year but which are not included in them. As in the former deliveries, this bibliography only covers books and articles that are concerned directly with the structuralist approach in the philosophy of science. We would like to thank the many colleagues who have helped us in collecting all the information. Notwithstanding we apologize in advance for the possible entries that we missed to include in this third Bibliography of Structuralism. (shrink)

In two occasions a Bibliography of Structuralism has been published in Erkenntnis (1989, 1994). Since then a lot of water has flowed under the bridge and the structuralist program has shown a continuous development. The aim of the present bibliography is to celebrate the 25th anniversary of the publication of An Architectonic for Science –structuralism’s main reference work– and of its recent translation into Spanish by updating the previous bibliographies with titles which have appeared since 1994 as well as before (...) that year but which are not included in them. As in the former deliveries, this bibliography only covers books and articles that are concerned directly with the structuralist approach in the philosophy of science. We would like to thank the many colleagues who have helped us in collecting all the information. Notwithstanding we apologize in advance for the possible entries that we missed to include in this third Bibliography of Structuralism. (shrink)

The present document starts from the relative existence of the electromagnetic field, reaching through mental experiments its connection with the gravitational field, without the necessity to resort to other space - time dimensions or supplementary "exotic" particles. The final conclusion is that the field "electro-gravitational" and electromagnetic field with accelerated source are two different manifestations of the same single field dynamic. Whilst demonstrating why there are light sources with "flee" towards the red or blue of the light spectrum.

This is the introduction to the special issue of the Spanish journal Ágora-Papeles de Filosofía (31/2, 2012) devoted to new Ibero-American contributions to metatheoretical structuralism.

According to Popper's rationality principle, agents act in the most adequate way according to the objective situation. I propose a new interpretation of the rationality principle as consisting of an idealization and two abstractions. Based on this new interpretation, I critically discuss the privileged status that Popper ascribes to it as an integral part of all social scientific models. I argue that as an idealization, the rationality principle may play an important role in the social sciences, but it also has (...) inherent limitations that inhibit it from having the privileged status that Popper ascribes to it in all cases. (shrink)

Philosophy can shed light on mathematical modeling and the juxtaposition of modeling and empirical data. This paper explores three philosophical traditions of the structure of scientific theory—Syntactic, Semantic, and Pragmatic—to show that each illuminates mathematical modeling. The Pragmatic View identifies four critical functions of mathematical modeling: (1) unification of both models and data, (2) model fitting to data, (3) mechanism identification accounting for observation, and (4) prediction of future observations. Such facets are explored using a recent exchange between two groups (...) of mathematical modelers in plant biology. Scientific debate can arise from different modeling philosophies. (shrink)

Analytical categories of scientific cultures have typically been used both exclusively and universally. For instance, when styles of scientific research are employed in attempts to understand and narrate science, styles alone are usually employed. This article is a thought experiment in interweaving categories. What would happen if rather than employ a single category, we instead investigated several categories simultaneously? What would we learn about the practices and theories, the agents and materials, and the political-technological impact of science if we analyzed (...) and applied styles, paradigms, and models simultaneously? I address these questions in general and for a specific case study: a brief history of systematics. (shrink)

The Marburg neo-Kantians argue that Hermann von Helmholtz's empiricist account of the a priori does not account for certain knowledge, since it is based on a psychological phenomenon, trust in the regularities of nature. They argue that Helmholtz's account raises the 'problem of validity' (Gueltigkeitsproblem): how to establish a warranted claim that observed regularities are based on actual relations. I reconstruct Heinrich Hertz's and Ludwig Wittgenstein's Bild theoretic answer to the problem of validity: that scientists and philosophers can depict the (...) necessary a priori constraints on states of affairs in a given system, and can establish whether these relations are actual relations in nature. The analysis of necessity within a system is a lasting contribution of the Bild theory. However, Hertz and Wittgenstein argue that the logical and mathematical sentences of a Bild are rules, tools for constructing relations, and the rules themselves are meaningless outside the theory. Carnap revises the argument for validity by attempting to give semantic rules for translation between frameworks. Russell and Quine object that pragmatics better accounts for the role of a priori reasoning in translating between frameworks. The conclusion of the tale, then, is a partial vindication of Helmholtz's original account. (shrink)

This paper aims 1) to introduce the notion of theoretical story as a resource and source of constraint for the construction and assessment of models of phenomena; 2) to show the relevance of this notion for a better understanding of the role and nature of values in scientific activity. The reflection on the role of values and value judgments in scientific activity should be attentive, I will argue, to the distinction between models and the theoretical story that guides and constrains (...) their construction. The aim of scientific activity is to develop understanding of phenomena, and something that serves this aim and contributes to the development of understanding has a cognitive value. Cognitive values are the features that something that plays a role in scientific activity should have so that it can serve its aim. I will focus my attention on the features of the theoretical story and of the models. (shrink)

In this comment on the work by Ulises Moulines I shall not refer to the interesting analysis of the ontological commitments that depends the treatment of the so-called «data models», nor shall I debate the general metaphysical principles proposed in his approach, adopting an experimentalist, instrumentalist, anti-realistic, positivist or empirical stance. I shall focus on the last part of his article in which he elaborates on the links between Wesley Salmon's causalist approach and the structuralist analysis of explanation viewed as (...) theoretical embedding, as he relates it to the structural analysis of the theoretical terms in light of a certain general shared understanding of epistemology's job. (shrink)

Taking as starting point Kuhn’s analysis of science textbooks and its application to Sinnott and Dunn’s (1925), it will be discussed the problem of the existence of laws in biology. In particular, it will be showed, in accordance with the proposals of Darden (1991) and Schaffner (1980, 1986, 1993), the relevance of the exemplars, diagrammatically or graphically represented, in the way in which is carried out the teaching and learning process of classical genetics, inasmuch as the information contained in them, (...) indispensable for the right development of that process, exceeds the information contained in the “laws” linguistically articulated and presented in the textbooks. However, it will be maintained that the information is implicit in the law that according to the structuralist concept of fundamental law and the reconstruction of genetics presented by Balzer & Dawe (1990), and later developed by Balzer & Lorenzano (1997) and Lorenzano (1995, 2000, 2002a) could be considered the fundamental law of classical genetics,the law of matching, clearly identified in this paper. (shrink)

Un aspecto poco estudiado del argumento de Michael Sandel en contra del carácter neutral de la justicia como equidad, es el modo en que funda sus conclusiones en el entendimiento que tiene de otros tres aspectos de la concepción rawlsiana de justicia: su carácter deontológico, el equilibrio reflexivo, y la posición original. Nuestro objetivo es mostrar que Sandel no ha cometido cuatro errores independientes, sino que poseer un entendimiento equivocado del carácter deontológico de la teoría lo ha llevado a caracterizar (...) mal en qué consiste el equilibrio reflexivo y esto -finalmente- lo ha conducido a una errónea interpretación de lo que se encuentra modelado en la posición original y -en última instancia- a sostener la falta de neutralidad de la concepción de justicia. Concentrarnos en este asunto nos permitirá apreciar cómo se articulan y complementan las distintas réplicas que Brian Barry, Samuel Freeman y el mismo John Rawls han dirigido contra Sandel. One aspect of Michael Sandel´s argument against the neutral character of justice as fairness on which little research has been done is the way in which he founds his conclusions on the basis of the understanding he has about three other aspects of the Rawlsian conception of justice: its deontological character, the reflective equilibrium and the original position. It is my aim to prove that Sandel has not made four independent mistakes but, on the contrary, to have a wrong understanding of the deontological character of the theory has driven him to a wrong characterization of what the reflective equilibrium consists of and this, in turn, has taken him to a wrong interpretation of what is modelled in the original position and, at large, to hold the idea that justice as fairness lacks neutrality. Focusing on this issue will allow us to appreciate how the different responses made by Brian Barry, Samuel Freeman and John Rawls himself against Sandel are articulated and complement one another. (shrink)

An early, very preliminary edition of this book was circulated in 1962 under the title Set-theoretical Structures in Science. There are many reasons for maintaining that such structures play a role in the philosophy of science. Perhaps the best is that they provide the right setting for investigating problems of representation and invariance in any systematic part of science, past or present. Examples are easy to cite. Sophisticated analysis of the nature of representation in perception is to be found already (...) in Plato and Aristotle. One of the great intellectual triumphs of the nineteenth century was the mechanical explanation of such familiar concepts as temperature and pressure by their representation in terms of the motion of particles. A more disturbing change of viewpoint was the realization at the beginning of the twentieth century that the separate invariant properties of space and time must be replaced by the space-time invariants of Einstein's special relativity. Another example, the focus of the longest chapter in this book, is controversy extending over several centuries on the proper representation of probability. The six major positions on this question are critically examined. Topics covered in other chapters include an unusually detailed treatment of theoretical and experimental work on visual space, the two senses of invariance represented by weak and strong reversibility of causal processes, and the representation of hidden variables in quantum mechanics. The final chapter concentrates on different kinds of representations of language, concluding with some empirical results on brain-wave representations of words and sentences. (shrink)

The aim of this article is to examine, in the light of some recent works in general philosophy of science and special philosophy of biology, the different forms assumed by the thesis of the unity of science, in order to be able to determine in what sense one can speak of a unity of the biological sciences.

In this article I give an overview of some recent work in philosophy of science dedicated to analysing the scientific process in terms of (conceptual) mathematical models of theories and the various semantic relations between such models, scientific theories, and aspects of reality. In current philosophy of science, the most interesting questions centre around the ways in which writers distinguish between theories and the mathematical structures that interpret them and in which they are true, i.e. between scientific theories as linguistic (...) systems and their non-linguistic models. In philosophy of science literature there are two main approaches to the structure of scientific theories, the statement or syntactic approach -- advocated by Carnap, Hempel and Nagel -- and the non- statement or semantic approach --advocated, among others, by Suppes, the structuralists, Beth, Van Fraassen, Giere, Wojcicki. In conclusion, I briefly review some of the usual realist inspired questions about the possibility and character of relations between scientific theories and reality as implied by the various approaches I discuss in the course of the article. The models of a scientific theory should indeed be adequate to the phenomena, but if the theory is 'adequate' to (true in) its conceptual (mathematical) models as well, we have a model-theoretic realism that addresses the possible meaning and reference of 'theoretical entities' without relapsing into the metaphysics typical of the usual scientific realist approaches. (shrink)

I critically examine the semantic view of theories to reveal the following results. First, models in science are not the same as models in mathematics, as holders of the semantic view claim. Second, when several examples of the semantic approach are examined in detail no common thread is found between them, except their close attention to the details of model building in each particular science. These results lead me to propose a deflationary semantic view, which is simply that model construction (...) is an important component of theorizing in science. This deflationary view is consistent with a naturalized approach to the philosophy of science. (shrink)

According to the received view of scientific theories, a scientific theory is an axiomatic-deductive linguistic structure which must include some set of guidelines (“correspondence rules”) for interpreting its theoretical terms with reference to the world of observable phenomena. According to the semantic view, a scientific theory need not be formulated as an axiomatic-deductive structure with correspondence rules, but need only specify models which are said to be “isomorphic” with actual phenomenal systems. In this paper, I consider both the received and (...) semantic views as they bear on the issue of how a theory relates to the world (Section 1). Then I offer a critique of some arguments frequently put forth in support of the semantic view (Section 2). Finally, I suggest a more convincing “meta-methodological” argument (based on the thought of Bernard Lonergan) in favor of the semantic view (Section 3). (shrink)

A discussion of Wolfgang's Stegmüller's ideas on the structuralist conception of theories, especially as presented in his book The Structure and Dynamics of Theories (Springer, 1976).

A precise formulation of the structure of modern evolutionary theory has proved elusive. In this paper, I introduce and develop a formal approach to the structure of population genetics, evolutionary theory's most developed sub-theory. Under the semantic approach, used as a framework in this paper, presenting a theory consists in presenting a related family of models. I offer general guidelines and examples for the classification of population genetics models; the defining features of the models are taken to be their state (...) spaces, parameters, and laws. The suggestions regarding the various aspects of the characterization of population genetics models provide an outline for further detailed research. (shrink)