L’étude des processus de production des mathématiques est indissociable de l’analyse des mécanismes de circulation, ne serait-ce qu’un résultat mathématique n’a aucun effet dans la discipline s’il n’est pas relayé, discuté et accepté par diverses communautés. Par l’expression « circulation mathématique », nous entendons circulation de questions, de problèmes, de méthodes, d’explications, d’enseignements, de pratiques, de points de vue, de théorèmes mathématiques ou de métadiscours, qui s’opèr...

Jean-Pierre Belna se propose d'exposer et de confronter les contributions de Dedekind, Cantor et Frege à la théorie des nombres. Un des points communs aux trois auteurs étudiés dans cet ouvrage est leur tentative, en essayant de définir les entiers naturels, d'achever le processus d'arithmétisation de l'analyse. Weierstrass, par exemple, ne s'était pas réellement intéressé à la définition des nombres entiers. Dans l'introduction de son cours, il tire l'origine de la notion de nombre de la réunion mentale de choses auxquelles (...) on a découvert une propriété commune. Les points de vue de Dedekind, Cantor et Frege sont cependant fondamentalement différents. L'approche de Dedekind est algébrique, celle de Cantor ensembliste et Frege appartient au courant logiciste. Les trois premiers chapitres sont consacrés à l'exposition de leurs travaux. (shrink)

Russell's philosophy is rightly described as a programme of reduction of mathematics to logic. Now the theory of geometry developed in 1903 does not fit this picture well, since it is deeply rooted in the purely synthetic projective approach, which conflicts with all the endeavours to reduce geometry to analytical geometry. The first goal of this paper is to present an overview of this conception. The second aim is more far-reaching. The fact that such a theory of geometry was sustained (...) by Russell compels us to question the meaning of logicism: how is it possible to reconcile Russell's global reductionist standpoint with his local defence of the specificities of geometry? * This paper was first presented at the conference ‘Qu'est ce que la géométrie aux époques modernes et contemporaines?’, organized by the Universität Köln and the Archives Poincaré. I would like to thank Philippe Nabonnand for having enlightened me about the issues relative to projective geometry. I would like also to thank Nicholas Griffin, Brice Halimi, Bernard Linsky, Marco Panza, Ivahn Smadja for their helpful discussions. Many thanks also to the two anonymous referees for their useful suggestions. CiteULike Connotea Del.icio.us What's this? (shrink)

L’objet de cet article est d’éclairer les rapports qu’entretiennent le droit naturel et l’économie dans la pensée de F. Bastiat. On montre que le statut de la raison humaine occupe une place centrale dans cette articulation. On met également en évidence les tensions entre le mécanisme de répartition des droits de propriété soumis à une procédure de concurrence et le respect de la loi naturelle. A cet égard, F. Bastiat définit la liberté comme la capacité à utiliser la raison.The aim (...) of this paper is to throw a new light on the close relations between natural rights and economics in F. Bastiat’s thought. We show that the human reason status holds a central place in this articulation. We also underscore the problematic compatibility between the natural rights allocation mechanism based on a competition process and the natural law. We explain how F. Bastiat comes to grips with this tension. He proposes to define the notion of liberty as the faculty of using human reason. (shrink)

Kaplan claims in Demonstratives that no operator may manipulate the context of evaluation of natural language indexicals. We show that this is not so. In fact, attitude reports always manipulate a context parameter (or, rather, a context variable). This is shown by (i) the existence of De Se readings of attitude reports in English (which Kaplan has no account for), and (ii) the existence of a variety of indexicals across languages whose point of evaluation can be shifted, but only in (...) attitude reports. We develop an alternative account within an extensional framework with overt quantification over times, worlds and contexts. Various typological facts are discussed, esp. the distinction between English, Amharic and Ewe pronouns, and that between English and Russian tenses. (shrink)

This paper argues that besides mechanistic explanations, there is a kind of explanation that relies upon “topological” properties of systems in order to derive the explanandum as a consequence, and which does not consider mechanisms or causal processes. I first investigate topological explanations in the case of ecological research on the stability of ecosystems. Then I contrast them with mechanistic explanations, thereby distinguishing the kind of realization they involve from the realization relations entailed by mechanistic explanations, and explain how both (...) kinds of explanations may be articulated in practice. The second section, expanding on the case of ecological stability, considers the phenomenon of robustness at all levels of the biological hierarchy in order to show that topological explanations are indeed pervasive there. Reasons are suggested for this, in which “neutral network” explanations are singled out as a form of topological explanation that spans across many levels. Finally, I appeal to the distinction of explanatory regimes to cast light on a controversy in philosophy of biology, the issue of contingence in evolution, which is shown to essentially involve issues about realization. (shrink)

We develop a formal semantic analysis of the alarm calls used by Campbell’s monkeys in the Tai forest and on Tiwai island —two sites that differ in the main predators that the monkeys are exposed to. Building on data discussed in Ouattara et al. :e7808, 2009a; PNAS 106: 22026–22031, 2009b and Arnold et al., we argue that on both sites alarm calls include the roots krak and hok, which can optionally be affixed with -oo, a kind of attenuating suffix; in (...) addition, sentences can start with boom boom, which indicates that the context is not one of predation. In line with Arnold et al., we show that the meaning of the roots is not quite the same in Tai and on Tiwai: krak often functions as a leopard alarm call in Tai, but as a general alarm call on Tiwai. We develop models based on a compositional semantics in which concatenation is interpreted as conjunction, roots have lexical meanings, -oo is an attenuating suffix, and an all-purpose alarm parameter is raised with each individual call. The first model accounts for the difference between Tai and Tiwai by way of different lexical entries for krak. The second model gives the same underspecified entry to krak in both locations, but it makes use of a competition mechanism akin to scalar implicatures. In Tai, strengthening yields a meaning equivalent to non-aerial dangerous predator and turns out to single out leopards. On Tiwai, strengthening yields a nearly contradictory meaning due to the absence of ground predators, and only the unstrengthened meaning is used. (shrink)

The Pareto principle states that if the members of society express the same preference judgment between two options, this judgment is compelling for society. A building block of normative economics and social choice theory, and often borrowed by contemporary political philosophy, the principle has rarely been subjected to philosophical criticism. The paper objects to it on the ground that it indifferently applies to those cases in which the individuals agree on both their expressed preferences and their reasons for entertaining them, (...) and those cases in which they agree on their expressed preferences, while differing on their reasons. The latter are cases of "spurious unanimity", and it is normatively inappropriate, or so the paper argues, to defend unanimity preservation at the social level for them, so the Pareto principle is formulated much too broadly. The objection seems especially powerful when the principle is applied in an ex ante context of uncertainty, in which individuals can disagree on both their probabilities and utilities, and nonetheless agree on their preferences over prospects. (shrink)

This paper argues that in some explanations mathematics are playing an explanatory rather than a representational role, and that this feature unifies many types of non-causal or non-mechanistic explanations that some philosophers of science have been recently exploring under various names. After showing how mathematics can play either a representational or an explanatory role by considering two alternative explanations of a same biological pattern—“Bergmann’s rule”—I offer an example of an explanation where the bulk of the explanatory job is done by (...) a mathematical theorem, and where mechanisms involved in the target systems are not explanatorily relevant. Then I account for the way mathematical properties may function in an explanatory way within an explanation by arguing that some mathematical propositions involving variables non directly referring to the target system features constitute constraints to which a whole class of systems should comply, provided they are describable by a mathematical object concerned by those propositions. According to such “constraint account”, those mathematical facts are directly entailing the explanandum, as a consequence of such constraints. I call those explanations “structural”, because here properties of mathematical structures are accounting for the explanandum; various kinds of mathematical structures thereby define various types of structural explanations. (shrink)

Based on the analysis of narrations in Free Indirect Discourse and the Historical Present, we argue that the grammatical notion of context of speech should be ramified into a Context of Thought and a Context of Utterance. Tense and person depend on the Context of Utterance, while all other indexicals are evaluated with respect to the Context of Thought. Free Indirect Discourse and the Historical Present are analyzed as special combinatorial possibilities that arise when the two contexts are distinct, and (...) exactly one of them is presented as identical to the physical point at which the sentence is articulated. (shrink)

Several disputes about the nature of experience operate under the assumption that experiences have parts, including temporal parts. There's the widely held view, when it comes to temporal experiences, that we should follow James' exhortation that such experiences aren't mere successions of their temporal parts, but something more. And there's the question of whether it is the parts of experiences which determine whole experiences and the properties they have, or whether the determination goes instead from the whole to the parts, (...) as holists have it. But what are parts, or temporal parts, of experiences exactly—what does it mean to say that an experience is “part” of another? Are the participants in those disputes talking about the same thing—is there a univocal notion of “experiential part” available? Are there different kinds of experiential parts? And if there are, is there a systematic way of carving them out? More importantly, how should we conceive of the temporal parts of experiences, and how can we establish that experiences really do have temporal parts, against those who reject the notion? (shrink)

The paper develops an objection to the extensional model of time consciousness—the view that temporally extended events or processes, and their temporal properties, can be directly perceived as such. Importantly, following James, advocates of the extensional model typically insist that whole experiences of temporal relations between non-simultaneous events are distinct from mere successions of their temporal parts. This means, presumably, that there ought to be some feature(s) differentiating the former from the latter. I try to show why the extensional models (...) offers no credible ground for positing such a difference. (shrink)

Stalnaker ( 1978 ) made two seminal claims about presuppositions. The most influential one was that presupposition projection is computed by a pragmatic mechanism based on a notion of ‘local context’ . Due to conceptual and technical difficulties, however, the latter notion was reinterpreted in purely semantic terms within ‘dynamic semantics’ (Heim 1983 ). The second claim was that some instances of presupposition generation should also be explained in pragmatic terms . But despite various attempts, the definition of a precise (...) ‘triggering algorithm’ has remained somewhat elusive. We discuss possible extensions of both claims. First, we offer a reconstruction of ‘local contexts’ which circumvents some of the difficulties faced by Stalnaker’s original analysis. We preserve the idea that local contexts are computed by a pragmatic mechanism that aggregates the information that follows from an incomplete sentence given the global context; but we crucially rely on a modified notion of entailment (‘R-entailment’), whose plausibility should be assessed on independent grounds. Second, we speculate that local contexts might prove necessary (though by no means sufficient) to understand how some presuppositions are triggered. In a nutshell, we suggest that a presupposition is triggered when the semantic contribution of an expression to its local context is in some sense ‘heterogeneous’. Without giving an analysis of the latter notion, we note that this architecture implies that presuppositions should be triggered on the basis of the meaning that an expression has relative to its local context (what we call its ‘local meaning’); we sketch some possible consequences of this analysis. (shrink)

: In the 1980s, the analysis of presupposition projection contributed to a ‘dynamic turn’ in semantics: the classical notion of meanings as truth conditions was replaced with a dynamic notion of meanings as Context Change Potentials. We argue that this move was misguided, and we offer an alternative in which presupposition projection follows from the combination of a fully classical semantics and a new pragmatic principle, which we call Be Articulate. This principle requires that a meaning pp’ conceptualized as involving (...) a pre-condition p should be articulated as … … rather than as … pp’ …, unless the full conjunction is ruled out because the first or the second conjunct is semantically idle. In particular, … … is infelicitous - and hence … pp’ … is acceptable - if one can determine as soon as p and is uttered that no matter how the sentence ends these words could be eliminated without affecting its contextual meaning. An equivalence theorem guarantees that this condition suffices to derive Heim’s results in almost all cases. Extensions of the condition lead to several new predictions, in particular concerning some ‘symmetric readings’, as well as presupposition projection in quantified structures, which displays a complex interaction between the nature of the trigger and the monotonicity of the quantifier. (shrink)

This paper offers an ethnomethodological exploration of fun in Go, the timely delivery of a ‘Monkey Jump’, and its lingering relevance to science studies. In Go terms, the paper makes a ‘pincer’ move: on the one hand, it explores the analytic potential of ‘fun’ for ethnographic purposes and, on the other hand, it questions its manifest abandonment in some quarters of science studies. In particular, the paper challenges their “curious seriousness” :69–78, 1990) whenever grand ontological claims are mixed up with (...) suspended empirical inquiry. That said, the latter criticism does not take the form of a scholarly exercise in conceptual clarification, but remains part and parcel of the author’s ethnography of playing amateur Go, including his dealing with and delivery of a Monkey Jump and reading of Go literature and replaying of professional games. The key point of the paper, then, is to demonstrate the heuristic interest of adopting a practitioner’s stance, not only for understanding a technical domain such as Go in its own terms, but also for launching a phenomenological critique of analytic discretion in science studies. Therefore, the second part of the paper re-examines, from an amateur Go player’s stance, Latour and Woolgar’s Go analogy in and for Laboratory Life —an early exemplar of science studies’ ontological bent. (shrink)

Recent semantic research has made increasing use of a principle, Maximize Presupposition, which requires that under certain circumstances the strongest possible presupposition be marked. This principle is generally taken to be irreducible to standard Gricean reasoning because the forms that are in competition have the same assertive content. We suggest, however, that Maximize Presupposition might be reducible to the theory of scalar implicatures. (i)First, we consider a special case: the speaker utters a sentence with a presupposition p which is not (...) initially taken for granted by the addressee, but the latter takes the speaker to be an authority on the matter. Signaling the presupposition provides new information to the addressee; but it also follows from the logic of presupposition qua common belief that the presupposition is thereby satisfied (Stalnaker, Ling Philos 25(5–6):701–721, 2002). (ii) Second, we generalize this solution to other cases. We assume that even when p is common belief, there is a very small chance that the addressee might forget it (‘Fallibility’); in such cases, marking a presupposition will turn out to generate new information by re-establishing part of the original context. We also adopt from Raj Singh (Nat Lang Semantics 19(2):149–168, 2011) the hypothesis that presupposition maximization is computed relative to local contexts—and we assume that these too are subject to Fallibility; this accounts for cases in which the information that justifies the presupposition is linguistically provided. (iii) Finally, we suggest that our assumptions have benefits in the domain of implicatures: they make it possible to reinterpret Magri’s ‘blind’ (i.e. context-insensitive) implicatures as context-sensitive implicatures which just happen to be misleading. (shrink)

Sign languages are known to display the same general grammatical properties as spoken languages, but also to make greater use of iconic mechanisms. In Schlenker et al.’s ‘Iconic Variables’ :91–149, 2013), it was argued that loci can have an iconic semantics, in the sense that certain geometric relations among loci are preserved by the interpretation function. Here we ask whether plural and height specifications of loci display the formal behavior of phi-features in remaining uninterpreted in focus- and ellipsis-constructions. Data from (...) ASL and LSF show that plural and height specifications may indeed remain uninterpreted in these constructions; furthermore, there are cases in which a single high locus is construed iconically and left uninterpreted in the course of ellipsis resolution. We argue that our data are compatible with two theories. According to the Strong View, plural and height specifications of loci display exactly the behavior of spoken language features. According to the Weak View, our data just show that plural and height specifications share the behavior of features and other non-assertive elements in being separable from the referential terms they specify. Our LSF data are compatible with the Weak View; our ASL data might provide support for the Strong View. While our aim is merely to open the debate about the featural status of iconic specifications, the question is of some importance: if features are innate and primitive elements of grammar, and if some of them have an intrinsically geometric semantics, the signed modality might play a greater role than is usually thought at the very core of Universal Grammar. (shrink)

Previous neural network models of concept learning were mainly implemented with supervised learning schemes. However, studies of human conceptual memory have shown that concepts may be learned without a teacher who provides the category name to associate with exemplars. A modular neural network architecture that realizes concept acquisition through two functionally distinct operations, categorizing and naming, is proposed as an alternative. An unsupervised algorithm realizes the categorizing module by constructing representations of categories compatible with prototype theory. The naming module associates (...) category names to the output of the categorizing module in a supervised mode. In such a modular architecture, the interface between the modules can be conceived of as an “information relay” that encodes, constrains, and propagates important information. Five experiments were conducted to analyze the relationships among internal conceptual codes and simple conceptual and lexical development. The first two experiments show a prototype effect and illustrate some basic characteristics of the system. The third experiment presents a bottom‐up model of the narrowing down of children's early lexical categories that honors mutual exclusivity. The fourth experiment introduces top‐down constraints on conceptual coding. The fifth experiment exhibits how hierarchical relationships between concepts are learned by the architecture, and also demonstrates how a spectrum of conceptual expertise may gradually emerge as a consequence of experiencing more with certain categories than with others. (shrink)

Judgment aggregation theory, or rather, as we conceive of it here, logical aggregation theory generalizes social choice theory by having the aggregation rule bear on judgments of all kinds instead of merely preference judgments. It derives from Kornhauser and Sager’s doctrinal paradox and List and Pettit’s discursive dilemma, two problems that we distinguish emphatically here. The current theory has developed from the discursive dilemma, rather than the doctrinal paradox, and the final objective of the paper is to give the latter (...) its own theoretical development along the line of recent work by Dietrich and Mongin. However, the paper also aims at reviewing logical aggregation theory as such, and it covers impossibility theorems by Dietrich, Dietrich and List, Dokow and Holzman, List and Pettit, Mongin, Nehring and Puppe, Pauly and van Hees, providing a uniform logical framework in which they can be compared with each other. The review goes through three historical stages: the initial paradox and dilemma, the scattered early results on the independence axiom, and the so-called canonical theorem, a collective achievement that provided the theory with its specific method of analysis. The paper goes some way towards philosophical logic, first by briefly connecting the aggregative framework of judgment with the modern philosophy of judgment, and second by thoroughly discussing and axiomatizing the ‘general logic’ built in this framework. (shrink)

This book addresses several key issues in the biological study of death with the intent of capturing their genealogy, the assumptions and presuppositions they make, and the way that they open specific new research avenues. The book is divided into two sections: the first considers physiology and the second evolutionary biology. Huneman explains that biologists in the late 1950s put forth a research framework that evolutionarily accounts for death in terms of either an effect of the weakness of natural selection (...) or a by-product of natural selection for early reproduction. He illustrates how the biology of death is a central field and that studying it provides insight into the way that the epistemic structure of this knowledge has been constituted, persists until now, and may conflict with some traditional philosophical ideas. (shrink)

An introduction to semantics for the general reader. How things mean, from animal communication to music.

The paper analyses economic evaluations by distinguishing evaluative statements from actual value judgments. From this basis, it compares four solutions to the value neutrality problem in economics. After rebutting the strong theses about neutrality (normative economics is illegitimate) and non-neutrality (the social sciences are value-impregnated), the paper settles the case between the weak neutrality thesis (common in welfare economics) and a novel, weak non-neutrality thesis that extends the realm of normative economics more widely than the other weak thesis does.

As part of a recent attempt to extend the methods of formal semantics beyond language, it has been claimed that music has an abstract truth-conditional semantics, albeit one that has more in common with iconic semantics than with standard compositional semantics. After summarizing this approach and addressing a common objection, we argue that music semantics should be enriched in three directions by incorporating insights of other areas of Super Semantics. First, it has been claimed by Abusch 2013 that visual narratives (...) make use of discourse referents akin to those we find in language. We argue that a similar conclusion extends to music, and we highlight it by investigating ways in which orchestration and dance may make cross-referential dependencies more explicit. Second, we show that by bringing music semantics closer to the semantics of visual narratives, we can give an account of the semantics of mixed visual and musical sequences. Third, it has been claimed that co-speech gestures trigger characteristic conditionalized presuppositions, called ‘cosuppositions’, and that their semantic status derives from their parasitic character relative to words. We argue that the same conclusion extends to some instances of film and cartoon music: it may trigger cosuppositions that can be revealed by embedding film excerpts or gifs in sentences so as to test presupposition projection. We further argue that under special discourse conditions, pro-speech gestures and pro-speech music alike can trigger cosuppositions as well. These results suggest that new insights can be gained not just by extending the methods of semantics to new objects, but also by drawing new connections among them. (shrink)

This research investigates 3- and 5-year-olds' relative fairness in distributing small collections of even or odd numbers of more or less desirable candies, either with an adult experimenter or between two dolls. The authors compare more than 200 children from around the world, growing up in seven highly contrasted cultural and economic contexts, from rich and poor urban areas, to small-scale traditional and rural communities. Across cultures, young children tend to optimize their own gain, not showing many signs of self-sacrifice (...) or generosity. Already by 3 years of age, self-optimizing in distributive justice is based on perspective taking and rudiments of mind reading. By 5 years, overall, children tend to show more fairness in sharing. What varies across cultures is the magnitude of young children's self-interest. More fairness (less self-interest) in distributive justice is evident by children growing up in small-scale urban and traditional societies thought to promote more collective values. (shrink)

We argue that a formal semantics for music can be developed, although it will be based on very different principles from linguistic semantics and will yield less precise inferences. Our framework has the following tenets: Music cognition is continuous with normal auditory cognition. In both cases, the semantic content derived from an auditory percept can be identified with the set of inferences it licenses on its causal sources, analyzed in appropriately abstract ways. What is special about music semantics is that (...) it aggregates inferences based on normal auditory cognition with further inferences drawn on the basis of the behavior of voices in tonal pitch space. This makes it possible to define an inferential semantics but also a truth-conditional semantics for music. In particular, a voice undergoing a musical movement m is true of an object undergoing a series of events e just in case there is a certain structure-preserving map between m and e. Aspects of musical syntax might be derivable on semantic grounds from an event mereology, which also explains some cases in which tree structures are inadequate for music. Intentions and emotions may be attributed at several levels, and we speculate on possible explanations of the special relation between music and emotions. (shrink)

Previous neural network models of concept learning were mainly implemented with supervised learning schemes. However, studies of human conceptual memory have shown that concepts may be learned without a teacher who provides the category name to associate with exemplars. A modular neural network architecture that realizes concept acquisition through two functionally distinct operations, categorizing and naming, is proposed as an alternative. An unsupervised algorithm realizes the categorizing module by constructing representations of categories compatible with prototype theory. The naming module associates (...) category names to the output of the categorizing module in a supervised mode. In such a modular architecture, the interface between the modules can be conceived of as an “information relay” that encodes, constrains, and propagates important information. Five experiments were conducted to analyze the relationships among internal conceptual codes and simple conceptual and lexical development. The first two experiments show a prototype effect and illustrate some basic characteristics of the system. The third experiment presents a bottom‐up model of the narrowing down of children's early lexical categories that honors mutual exclusivity. The fourth experiment introduces top‐down constraints on conceptual coding. The fifth experiment exhibits how hierarchical relationships between concepts are learned by the architecture, and also demonstrates how a spectrum of conceptual expertise may gradually emerge as a consequence of experiencing more with certain categories than with others. (shrink)

Emotions are traditionally considered to be brief states that last for seconds or a few minutes at most. However, due to pioneering theoretical work of Frijda and recent empirical studies, it has become clear that the duration of emotions is actually highly variable with durations ranging from a few seconds to several hours, or even longer. We review research on determinants of emotion duration. Three classes of determinants are identified: features related to the emotion-eliciting event, emotion itself, and emotion-experiencing person. (...) Initial evidence on the psychological and neural mechanisms that underlie their effects is discussed. (shrink)

The paper has a twofold aim. On the one hand, it provides what appears to be the first game-theoretic modeling of Napoleon’s last campaign, which ended dramatically on 18 June 1815 at Waterloo. It is specifically concerned with the decision Napoleon made on 17 June 1815 to detach part of his army against the Prussians he had defeated, though not destroyed, on 16 June at Ligny. Military historians agree that this decision was crucial but disagree about whether it was rational. (...) Hypothesizing a zero-sum game between Napoleon and Blücher, and computing its solution, we show that it could have been a cautious strategy on the former's part to divide his army, a conclusion which runs counter to the charges of misjudgement commonly heard since Clausewitz. On the other hand, the paper addresses methodological issues. We defend its case study against the objections of irrelevance that have been raised elsewhere against “analytic narratives”, and conclude that military campaigns provide an opportunity for successful application of the formal theories of rational choice. Generalizing the argument, we finally investigate the conflict between narrative accounts – the historians' standard mode of expression – and mathematical modeling. (shrink)

This is the outline: 1. Introduction : organicisme et personnalisme 2. Un effort pour philosopher sur tout 3. La théologie et la question de l’infra-substantiel 3.1 Un schème de pensée qui pose problème 3.2 Le statut de l’immortalité 4. Substance, personne et cosmos.

In the tradition of quantified modal logic, it was assumed that significantly different linguistic systems underlie reference to individuals, to times and to 'possible worlds'. Various results from recent research in formal semantics suggest that this is not so, and that there is in fact a pervasive symmetry between the linguistic means with which we refer to these three domains. Reference to individuals, times and worlds is uniformly effected through generalized quantifiers, definite descriptions, and pronouns, and in each domain grammatical (...) features situate the reference of terms as near, far or 'further' from the actual or from a reported speech act. We outline various directions in which a program of ontological symmetry could be developed, and we offer in the Appendix a symmetric fragment developed in a logic that can be seen as a compromise between an extensional and an intensional system. (shrink)

The comprehension of living organisms in all their complexity poses a major challenge to the biological sciences. Recently, systems biology has been proposed as a new candidate in the development of such a comprehension. The main objective of this paper is to address what systems biology is and how it is practised. To this end, the basic tools of a systems biological approach are explored and illustrated. In addition, it is questioned whether systems biology ‘revolutionizes’ molecular biology and ‘transcends’ its (...) assumed reductionism. The strength of this claim appears to depend on how molecular and systems biology are characterised and on how reductionism is interpreted. Doing credit to molecular biology and to methodological reductionism, it is argued that the distinction between molecular and systems biology is gradual rather than sharp. As such, the classical challenge in biology to manage, interpret and integrate biological data into functional wholes is further intensified by systems biology’s use of modelling and bioinformatics, and by its scale enlargement. (shrink)