Abstract Schlick quite clearly maintains that the shift from classical physics to the theories of relativity is not necessitated by experience, but motivated by the pragmatic payoff of simplifying space-time ontology. However, there is in his work another, heretofore unrecognized argument for the revolutionary shift from classical to relativistic physics. According to this conceptual line of argument, the principles that define simultaneity and motion in classical physics fail to establish a univocal correspondence to physical quantities, and therefore must be (...) revised, along with the notions of absolute space and time that they underpin. Though these insights appear only intermittently in Schlick’s work, I will seek to elaborate on them in an effort to clarify his views on conventions within physics and the nature of revolutionary science, and to suggest that these views are invulnerable to the criticisms of pragmatic empiricists such as Quine. Content Type Journal Article Pages 1-17 DOI 10.1007/s12136-011-0131-3 Authors Steven Bland, Department of Philosophy, Huron University College, 1349 Western Rd, London, Ontario, Canada N6G 1H3 Journal Acta Analytica Online ISSN 1874-6349 Print ISSN 0353-5150. (shrink)

It is necessary to take into account the data of science in the theoretical debates conducted by scientists contributing ontological theories in order to develop new approaches to theological issues in Islamic thought. Even, Kalam scholars with the duty of defending and basing the principles of Islam in the classical sense have established a theological understanding intertwined with science in understanding both existence philosophically and the Script theologically. With its discoveries and theories in the last century, it can be argued (...) that modern science has made a serious progress compared to the past. Maintaining its own methodology and paradigm, every scientific discipline has the opportunity to benefit from the methods and data of other disciplines. Consequently, it is possible to assert that Kalam can enjoy the same opportunity too, as long as staying in its own problem area. According to modern science, the motion system is the unity of structures that enable living things to move. Moreover, Bones and joints, which are the structures of the skeletal system, are passive elements of the movement system. Muscles, on the other hand, are the active elements of the movement system and provide the movement of the body by affecting the bones and joints. Muscle tissue shapes the body by adhering to the bones, besides enabling movement activity to occur. One of the most important systems that provide movement is the nervous system. Because for a person to have movement, the muscles must contract, and the muscles must be stimulated for the contraction of the muscles. The system that enables this contraction to occur is the nervous system. Energy is also required for contraction to occur in the human body. Muscles create energy for movement by first providing their energy from the ATP molecule present in the muscle cells. Considering the movement theories of classical theology scholars, it is seen that they shaped the occurrence of human actions through the concept of potency. While the scholars classify power as spiritual/mental and physical strength in terms of its structure, they have characterized it as accident in terms of its nature. In this context, we can say that the equivalent of the power, which is regarded as necessary for the formation of human acts by the theologians, is the movement system in today's science. The spirit/mental that scholars regard as a structure of power for the occurrence of human action can be regarded as the electrical activity that activates muscles when considered within the framework of the movement system of today's science. It is seen that Kalam scholars emphasize physical competence in their definitions of power as well. At this point, Ash'arians defined the power as the soundness of organs, Mu’tazila expressed it as the presence of organs and their being away from disasters, and the Mâturîdîs stated it as the organs being healthy. With these definitions, Kalam scholars mean that a person should also be physically competent to make a movement. The structures scientifically accepted as biological and physical competence in the movement system are the skeletal system, muscles and nervous system. Therefore, we can say that the strength of the physical fitness/well-being emphasized in the definition of power by theologians corresponds scientifically to the skeletal system, muscles and nervous system. One of the issues that Kalam scholars discuss about power is the issue of the accident of power. The reason why they describe power as an accident is to emphasize its impermanence and to show that it was created by Allah. So, in modern science, electrical activity must occur in the brain in order for human organs to move. The occurrence of this electrical activity is independent of the human being. The fact that electrical activity occurs independently from human beings shows that it conforms to Kalam scholars’ definition of the accident. As a result, we can say that the theory of power created by scholars for human movement has a counterpart in the movement system put forward by today's science. (shrink)

In this paper, I examine a number of alternative global structures for Newtonian space-time, and corresponding Newtonian theories of mechanics and gravitation. I argue that since these theories differ only with respect to questions concerning the relative distribution of inertial and gravitational forces, the choice between them is a matter of convention. Therefore, the global structure of Newtonian space-time is also a matter of convention. Since this result is based on a consideration of the nature of inertial and gravitational forces, (...) rather than on general reductionist principles, it is a "limited conventionalist" result. (shrink)

This dissertation defends the place of representation in music. Music’s status as a representational art has been hotly debated since the War of the Romantics, which pitted the Weimar progressives (Liszt, Wagner, &co.) against the Leipzig conservatives (the Schumanns, Brahms, &co.) in an intellectual struggle for what each side took to be the very future of music as an art. I side with the progressives, and argue that music can be and often is a representational medium. Correspondence (or resemblance) (...) theories of representation, such as the one I offer, have been much maligned in philosophy since the 1960s. Most theories assimilate representation under “meaning,” which has usually been thought to belong primarily to language. As a result, representational content has been taken to be purely conventional in the way that sentential meaning is. People want to know what music “means,” and these theories interpret this as “what does it refer to?” or “what propositions does it express?” I argue that propositional communication is only one (small) part of the issue. Once we overcome the bias of conceiving of musical works as essentially linguistic items, speech acts (performed) or sentence tokens (written), we can begin to take music on its own terms to discover how it represents—one way in which it “means.” The first step is to “naturalize” music’s representational content. Influenced by recent discussions in the philosophies of mind and science, I argue in Chapter 1 that composers represent extra-musical objects, events, and states of affairs through their works by exploiting antecedent relations (such as similarities in pitch, timbre, and structure) in order to secure reference to them. In Chapter 2, I survey and respond to the main challenges that those skeptical of music’s representational possibilities would raise against my theory of musical representation. In Chapter 3, I explore a number of ways through which music has been claimed to represent in order to show how my theory accounts for these diverse phenomena better than its conventionalist rivals, both in terms of the metaphysics and the epistemology. Chapter 4 extends this discussion by offering an account of how we perceive, understand, appreciate, and interpret sophisticated musical representations. I conclude by teasing out some of my theory’s implications and suggesting areas for further research. (shrink)

Plausible recent arguments for the existence of necessary truths a posteriori have led many philosophers to believe, at least implicitly, that conventionalism about necessity is false, and that necessity is in fact a real-world quantity. Necessary truths, on this view, are no more independent upon our linguistic conventions than any other truths; assertions of necessity and essential predications are, like any other claims, true or false as they correspond or not to a wholly independent reality. I believe that this (...) view is not supported by the finding of necessary truths a posteriori, and further, that we have excellent reason to reject this realism about necessity, and to accept instead a conventionalist account. My dissertation attempts to argue for this view, and to present and defend such a conventionalist account. ;In Chapter One, I present a conventionalist explanation of necessary truths a posteriori, and thus argue that the existence of such truths does not establish realism about necessity. My account makes use of general conventions which I call 'general principles of individuation.' If these principles are products of our conventions, then we can both allow for and explain how there can be such 'empirical' necessary truths within a conventionalist framework. ;Chapter Two argues that conventionalism about necessity and essences has traditionally been grounded in metaphysical worries about necessity, not upon now outdated epistemological and semantic views, as is often claimed by the opponents of conventionalism. ;In Chapter Three, I present my central arguments for conventionalism and against realism about necessity. I argue that only conventionalism can explain how we have the knowledge that we do of what is necessary, and further, that it is not even clear that we can make sense of necessity as an independent feature of the world. Chapter Four responds to worries stemming from the fact that my account requires that there be systematically important analytic truths. ;Finally, in Chapter Five, I attempt to apply my findings to the theory of reference. I argue that if conventionalism about necessity and essences is true, then empiricist semantics must be basically correct, and that causal theories of reference must thus be either compatible with empiricist semantics, or false. (shrink)

Analytical commentary -- Fruits upon one tree -- The continuation of the early draft into philosophy of mathematics -- Hidden isomorphism -- A common methodology -- The flatness of philosophical grammar -- Following a rule 185-242 -- Introduction to the exegesis -- Rules and grammar -- The tractatus and rules of logical syntax -- From logical syntax to philosophical grammar -- Rules and rule-formulations -- Philosophy and grammar -- The scope of grammar -- Some morals -- Exegesis 185-8 -- Accord (...) with a rule -- Initial compass bearings -- Accord and the harmony between language and reality -- Rules of inference and logical machinery -- Formulations and explanations of rules by examples -- Interpretations, fitting and grammar -- Further misunderstandings -- Exegesis 189-202 -- Following rules, mastery of techniques and practices -- Following a rule -- Practices and techniques -- Doing the right thing and doing the same thing -- Privacy and the community view -- On not digging below bedrock -- Private linguists and private linguists : Robinson Crusoe sails again -- Is a language necessarily shared with a community of speakers? -- Innate knowledge of a language -- Robinson Crusoe sails again -- Solitary cavemen and monolinguists -- Private languages and private languages -- Exegesis 203-37 -- Agreement in definitions, judgements, and form of life -- The scaffolding of facts -- The role of our nature -- Forms of life -- Agreement : consensus of human beings and their actions -- Exegesis 238-42 -- Grammar and necessity -- Setting the stage -- Leitmotifs -- External guidelines -- Necessary propositions and norms of representation -- Concerning the truth and falsehood of necessary propositions -- What necessary truths are about illusions of correspondence : ideal objects, kinds of reality, and ultra-physics -- The psychology of the A priori -- Knowledge -- Belief -- Certainty -- Surprise -- Discoveries and conjectures -- Compulsion -- Propositions of logic and laws of thought -- Alternative forms of representation -- The arbitrariness of grammar -- A kinship to the non-arbitrary -- Proof in mathematics -- Conventionalism. (shrink)

This chapter contains sections titled: Setting the stage Leitmotifs External guidelines Necessary propositions and norms of representation Concerning the truth and falsehood of necessary propositions What necessary truths are about Illusions of correspondence: ideal objects, kinds of reality and ultra‐physics The psychology and epistemology of the a priori Propositions of logic and laws of thought Alternative forms of representation The arbitrariness of grammar A kinship to the non‐arbitrary Proof in mathematics Conventionalism.

The paper aims to establish if Grassmann’s notion of an extensive form involved an epistemological change in the understanding of geometry and of mathematical knowledge. Firstly, it will examine if an ontological shift in geometry is determined by the vectorial representation of extended magnitudes. Giving up homogeneity, and considering geometry as an application of extension theory, Grassmann developed a different notion of a geometrical object, based on abstract constraints concerning the construction of forms rather than on the homogeneity conditions required (...) by the modern version of the theory of proportions. Secondly, Grassmann’s conception of mathematical knowledge will be investigated. Parting from the traditional definition of mathematics as a science of magnitudes, Grassmann considered mathematical forms as particulars rather than universals: the classification of the branches of mathematics was thus based on different operational rules, rather than on empirical criteria of abstraction or on the distinction of different species belonging to a common genus. It will be argued that a different notion of generalization is thus involved, and that the knowledge of mathematical forms relies on the understanding of the rules of generation of the forms themselves. Finally, the paper will analyse if Grassmann’s approach in the first edition of the Ausdehnungslehre should be explained in terms of the notion of purity of method, and if it clashes with Grassmann’s later conventionalism. Although in the second edition the features of the operations are chosen by convention, as it is the case for the anti-commutative property of the multiplication, the choice is oriented by our understanding of the resulting forms: a simplification in the algebraic calculus need not correspond to a simplification in the ‘dimensional’ interpretation of the result of the multiplicative operation. (shrink)

Providing a principled characterization of the distinction between logical and non-logical expressions is a longstanding issue in the philosophy of logic. In the Logical Syntax of Language, Carnap proposes a syntactic solution to this problem, which aims at grounding the claim that logic and mathematics are analytic. Roughly speaking, his idea is that logic and mathematics correspond to the largest part of science for which it is possible to completely specify by "syntactic" means which sentences are valid and which are (...) not. Despite a renewed interest in the philosophical benefits of analyticity, both inside and outside of Carnap scholarship, Carnap's definition of logical expressions seems to have drawn too little attention. I shall argue that it is worth a second look. More precisely, my aim will be to defend this idea against some technical problems faced by Carnap's way of implementing it and against Quinean attacks on syntax-based conventionalism. Section 1 presents Carnap's definition in the context of Logical Syntax of Language, that is, how exactly the definition works, and why Carnap needs it. In section 2, I review three challenges that have been raised in the literature, and I propose to revise the definition accordingly. I argue that its modified version is immune to the previous challenges, and, to some extent, immune to new challenges as well. In the last section, I suggest that the definition has a philosophical interest of its own, because standard Quinean objections are not as conclusive as one might think when attention is paid to the fact that Carnap requires complete syntactic specification of validities. (shrink)

Chapter 4 of Being Known outlines an integrated metaphysics and epistemology for the metaphysical—absolute—notions of necessity and possibility. The leading idea is to view the modal status of a proposition as the deliverance of a set of fundamental Principles of Possibility, and our ability to recognise modal status as issuing from an implicit knowledge of these principles. Peacocke aims at a middle way between the extremes of Lewis-style realism about modality and the various—conventionalist, expressivist, Wittgensteinian—forms of non-cognitivism that were prominent (...) in the last century. An attraction of his account is its unified treatment both of a priori logical—more generally, conceptual—necessity and possibility and of a posteriori necessities of essence, identity, origin and constitution, etc. The treatment is ambitious and rich in invention and original detail, but Peacocke professes himself more wedded to the general approach than to the particular development. I shall correspondingly confine my remarks, more or less, to the general approach. (shrink)

In this paper I try to explain why Lakatos’s (and Popper’s) conventionalist view must be replaced by a phenomenological conception of the empirical basis; for only in this way can one make sense of the theses that the hard core of an RP (Research Programme) can be shielded against refutations; that this metaphysical hard core can be turned into a set of guidelines or, alternatively, into a set of heuristic metaprinciples governing the development of an RP; and that a distinction (...) can legitimately be made between novel predictions and facts to which a theory might have been adjusted post hoc. Two basic metaprinciples are finally examined: the (conservative) Correspondence Principle and various (revolutionary) symmetry requirements; both of these heuristic devices illustrate the fundamental role which, according to Lakatos, mathematics plays in the progress of empirical science. (shrink)

In this paper I try to explain why Lakatos’s conventionalist view must be replaced by a phenomenological conception of the empirical basis; for only in this way can one make sense of the theses that the hard core of an RP can be shielded against refutations; that this metaphysical hard core can be turned into a set of guidelines or, alternatively, into a set of heuristic metaprinciples governing the development of an RP; and that a distinction can legitimately be made (...) between novel predictions and facts to which a theory might have been adjusted post hoc. Two basic metaprinciples are finally examined: the Correspondence Principle and various symmetry requirements; both of these heuristic devices illustrate the fundamental role which, according to Lakatos, mathematics plays in the progress of empirical science. (shrink)

In the course of presenting the classical debate on personal identity in analytical philosophy, the article argues that this debate leads to an aporetic result. Neither the Bundel Theory nor the Ego Theory can adequately account for both the nature and the importance of personal identity. According to the empiricist account the importance of personal identity is nothing but an existential fiction, while according to the metaphysical account the nature of personal identity in the last analysis consists of an ontological (...) fiction. Correspondingly, the empiricist Bundel Theory gives rise to a destructive conventionalism, whereas the metaphysical Ego Theory involves a miraculous essentialism. The problem of personal identity in analytical philosophy, therefore, still remains unresolved in the light of common-sensical intuitions. (shrink)

Classic examples of ostensive geometrical constructions are used to clarify Kant’s account of how they provide knowledge of claims about rigid bodies we can observe and manipulate. It is argued that on Kant’s account claims warranted by ostensive constructions must be limited to scales and tolerances corresponding to our perceptual competencies. This limitation opens the way to view Riemann’s work as contributing valuable conceptual resources for extending geometrical knowledge beyond the bounds of observation. It is argued that neither Reichenbach’s descriptions (...) of non-Euclidean visualization nor his arguments for conventionalism about geometry undercut this view of Kant’s account of geometrical knowledge. (shrink)

One logic or many? I say—many. Or rather, I say there is one logic for each way of specifying the class of all possible circumstances, or models, i.e., all ways of interpreting a given language. But because there is no unique way of doing this, I say there is no unique logic except in a relative sense. Indeed, given any two competing logical theories T1 and T2 (in the same language) one could always consider their common core, T, and settle (...) on that theory. So, given any language L, one could settle on the minimal logic T0 corresponding to the common core shared by all competitors. That would be a way of resisting relativism, as long as one is willing to redraw the bounds of logic accordingly. However, such a minimal theory T0 may be empty if the syntax of L contains no special ingredients the interpretation of which is independent of the specification of the relevant L-models. And generally—I argue—this is indeed the case. (shrink)

The central aim of this dissertation is to clarify, defend and develop a realist field ontology of the causal-inertial structure of spacetime forcefully advanced by Hermann Weyl. Weyl's field ontology of spacetime structure may roughly be described as follows. The Special and General as well as the non-relativistic spacetime theories are principle theories of spacetime structure. They all postulate various structural constraints, and events within spacetime are held to satisfy these constraints. When interpreted physically, these mathematical structures correspond to physical (...) structural fields on spacetime. ;The thesis begins with a discussion of the significance of Riemann's Dynamical Hypothesis within the context of the debate between geometrical realism and conventionalism. In particular, Grunbaum's unyielding insistence that Riemann's work must be seen as the immediate progenitor of his brand of geometrical conventionalism is challenged and shown to be unsupported by a textual analysis of the relevant works by Riemann. The first two chapters provide a historical/exegetical analysis of Riemann's Habilitationsvortrag. Chapter 3 presents a general account of geometrical conventionalism apart from issues of its alleged historical ancestry as seen by Grunbaum. This is followed by a critical examination of Grunbaum's interpretation of Riemann. ;Grunbaum has repeatedly argued that Weyl's interpretation of Riemann accords with his. It is shown, however, that Weyl's understanding of Riemann is the direct opposite of that of Grunbaum. Chapter 4 provides an examination of Weyl's philosophy of geometry and his interpretation of Riemann. It is shown that Weyl considers Riemann's work to be essentially progenitorial of his version of geometrical realism. . . . UMI. (shrink)

Goodman’s account of the ‘grue’ paradox stands at a crossroads in the history of twentieth century epistemology. Published in 1954, Fact, Fiction, and Forecast is a reaction to the logical empiricist views that held sway in the first half of the last century and anticipates many of the conventionalist and/or relativist moves popular throughout the second half. Through his evaluation of Hume’s problem of induction, as well as his own novel reformulation of it, Goodman comes to reject a number of (...) the fundamental parts of logical empiricism. In particular, Goodman argues that the formal epistemic methods the logical empiricists wanted to rely upon are insufficient. This leads him to turn towards conventionalism, which is the basis of his rejection of the objective view of knowledge. In his conventionalism he is a precursor of writers such as Hanson, Kuhn and Feyerabend, who, seeing the inadequacy of formalism, sought to fill the gaps it left in epistemic methodology with scientific values, tacit knowledge and linguistic practices. Making use of Susan Haack’s distinction between three different kinds of foundationalism, we analyse Goodman’s position and its relation to the views of the logical empiricists. The two are reflections of each other in that, where the logical empiricists are foundationalists in their views on empirical evidence, methods used and objective criteria of justification, Goodman consistently opts for the corresponding coherentist options. As it turns out, this choice of options makes it impossible for Goodman to deal with the very objections he raises against the logical empiricists. In adding the new problem of induction to the old one, Goodman adds a problem which clearly can not be resolved by a purely syntactic solution. The charge Goodman raises is that logical empiricists cannot determine which predictions are sound and which are not. We argue that his method of identifying acceptable predictions based on the use of entrenchment is, in the end, arbitrary and only postpones the underlying problem. (shrink)

Quine’s desert is generally contrasted with Meinong’s jungle, as a sober ontological alternative to the exuberant luxuriance that comes with the latter. Here I focus instead on the desert as a sober metaphysical alternative to the Aristotelian garden, with its tidily organized varieties of flora and fauna neatly governed by fundamental laws that reflect the essence of things and the way they can be, or the way they must be. In the desert there are no “natural joints”; all the boundaries (...) we find are lines we have drawn, artificial fencings that merely reflect of our own demarcations, our classifications, our desperate need to ward off the flux and meet an excusable but ungrounded demand for order and stability. The desert returns a picture of reality that is radically anti-realist. And yet the picture does not amount to a form of irrealism. The desert is out there and is what it is regardless of how we feel. And it is not completely structureless. It’s just that the structure it has is very thin and does not correspond to the sort of structure that so-called metaphysical realists—and scientific realists alike—tend to attribute to it. (shrink)

Contemporary sociology of scientific knowledge (SSK) is defined by its relativist trend. Its programme often calls for the support of philosophers, such as Duhem, Quine, and Wittgenstein. A critical re-reading of key texts shows that the main principles of relativism are only derivable with difficulty. The thesis of the underdetermination of theory doesn't forbid that Duhem, in many places, validates a correspondence-consistency theory of truth. He never said that social beliefs and interests fill the lack of underdetermination. Quine's idea (...) of a selective revision of hypotheses, as well as the neat incompatibility between holism and conventionalism, openly challenges the principles of relativism. Wittgenstein's work, which is not presented in book-form but rather as a tree, forces us to avoid aphoristic choices that credit any text-excising. This remark allows us to tackle the passages that sociological relativism is based on.Mathematical conventions are not anthropological objects. When Wittgenstein examines the "language-games," he only speaks of the functioning of natural language, not to be confused with scientific formal languages. We then should render the formula "language-game" by "well-defined, explicit and compulsory rules of communication", which is a much less attractive formula for relativism. Consequently, there does not exist a real continuity between the epistemologies of Duhem, Quine and Wittgenstein, and the recent works of the SSK. (shrink)

Aristotle considers that justice in general varies according to constitutions and that it also takes different forms according to times and cultures. But this assumed conventionalism does not prevent us from considering certain things just absolutely, precisely those that correspond to laws enacted in the three regimes themselves considered just absolutely (royalty, aristocracy, polity). But since the laws may still differ between these three regimes, should we postulate the existence of an even more fundamental just? Would it be the (...) just natural? Not sure, since Aristotle sometimes maintains that everything changes in the sensible world including what is natural. But perhaps there is a deeper just which is natural, and which frees itself from all change, imposing itself absolutely everywhere? It would then remain to determine what such a concept of just contains and whether it should be placed at the limit of the positive law, or even still beyond it. (shrink)

This Tractatus’s engagement with the issue of the nature of truth and falsity emerged from engagement with Russell. This engagement reverberated through the Vienna Circle and in particular affected Gödel. The Tractatus’s “elementary sentences” must be seen against the backdrop of Russell’s “multiple relation theory of judgment”, his theory of truth in Principia Mathematica, which Wittgenstein discussed at length with Russell in 1912–1913 and Gödel studied in 1929–1932. Russell’s approach was directed against both Idealism and William James’s pragmatist view of (...) truth. It aimed at a direct treatment of the distinction between truth and falsity in terms of particular, logically simple beliefs (judgments lacking in truth-functional and quantification complexity). Schlick rejected Russell’s view in favor of his more holistic correspondence theory, one which, however, tipped easily into pragmatism, conventionalism and verificationism. The Tractatus begins, rather, with Russell’s bottom-up approach truth, and then draws in two further ideas: (1) The need for a medium of representation and (2) The importance of modality (possibility and necessity) to logic. This approach was developed further in his later work, i.e., Philosophical Investigations.Aware of the Tractatus and Russell’s engagement with Wittgenstein on truth, Gödel continued to engage with Russell’s multiple relation theory of truth and Principia philosophically up through 1944. The parallel yet distinct engagements of Gödel and Wittgenstein with Russell on truth (and Vienna positivism) show that each regarded Russell’s view as requiring amendment. However, their philosophical differences with one another are not merely to be understood in terms of the dichotomy between conventionalism (the usual view of Wittgenstein) and Platonism (the usual view of Gödel). They must rather be seen to emerge from the original approach to truth we find in Russell. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Diacritics 33.1 (2003) 3-22 [Access article in PDF] Rationalism in History Steven Crowell Mark Bevir. The Logic of the History of Ideas. Cambridge: Cambridge UP, 1999. [L] When Hegel spoke of history as the "slaughter-bench at which the happiness of peoples, the wisdom of states, and the virtue of individuals have been sacrificed" [27], he wished his hearers to find satisfaction in the contemplation of a "reason" in history (...) that would redeem those sacrifices by explaining their necessity. A "logic" of history in this sense—a logic of the events themselves (res gestae) and not merely of discourses about them (historia rerum gestarum)—does not merely relate events to one another by means of a narrative in which they can be seen to make sense, but, going further, attributes necessity to these events by relating them to the (absolute) Idea. That this "Idea or Reason is the True," that "nothing but it... manifests itself in the world," is not, Hegel reminds us, something established historically but "has been proved in philosophy" [11]. Seen thus, post-Hegelian historicism begins the moment that the Idea of history becomes the "history of ideas"—that is, the moment when reason becomes merely the thematic object, rather than the generative subject, of history. In its many forms—Begriffsgeschichte, intellectual history, history of worldviews, Ideologiekritik, history of mentalités, and so on—the history of ideas bears the traces of its birth in the retreat of speculative philosophy of history's robust rationalism, whether of the idealistic Hegelian or the materialist Marxian variety. Under such conditions, to announce a "logic" of the history of ideas is to link historiography with philosophy in a way that might surprise those many who have grown accustomed to thinking that the latter is dead and the former is anything but logical.For "history" has been the shibboleth under which contemporary critical discourse has sought to free itself from the "philosophical" model of knowing that dominated earlier times. If at the outset of the twentieth century the new currents in European philosophy—Husserlian phenomenology and Russellian analysis—were militantly antihistorical, by century's end only the latter remained so. The former very quickly spawned or influenced a host of offshoots (existentialism, hermeneutics, deconstruction, genealogy) with little in common but the belief that philosophy is thoroughly historical. When, in the guise of "theory," critical discourse in fields such as literature, cultural studies, feminism, or postcolonial studies draws close to philosophy, then, it is generally a philosophy that sees itself entangled in history, no longer capable of "master narratives" or logics because suspicious of its own past. Significantly, this skepticism has made itself felt in the discipline of history itself, where the theory of historiography is increasingly integrated into a general postmodern, postphilosophical, model of cultural production that emphasizes politics or poetics over reason, rhetoric over cognition.1 Mark Bevir's proposal for a logic of the history of ideas is a protest against such [End Page 3] integration: historical inquiry—whose principles provide the basis not only for a "general logic of history" but also for a "theory of culture" as such [L 316]—is a rational enterprise that yields objective knowledge guided by the regulative idea of truth as correspondence to a fixed historical reality.There is scarcely a debate in historiography—and in the philosophy of mind, language, and science, as it pertains to such debates—about which Bevir does not have something important to say, but reduced to its bare outline Bevir's book lays out the elements, modes of justification, and modes of explanation that are normative for the practice of the history of ideas. At its basis is the philosophical view, introduced in chapter one and successively developed in subsequent chapters, that the "folk-psychological" concepts we use to understand and explain human behavior—above all, the concept of rationality—are indispensable in the history of ideas as well. A central element of the practice of intellectual history, for example, is the concept of "meaning," and in chapter two, against challenges from contextualists, conventionalists, and others who reject intentionalism, Bevir argues that... (shrink)

It is proved that the basic framework of the premises and reasoning of Wittgenstein's “Tractatus Logico-philosophicus” corresponds quite well to the transcendental method (as formulated by H. Cohen). Whereas Kant’s philosophy proceeds from the fact of existence of mathematics and mathematised natural science and investigates their conditions of possibility, Wittgenstein proceeds from the fact that propositions of language describe reality and reveals the conditions of possibility of such descriptions. Kant, answering the question about the conditions of possibility of the named (...) sciences, comes to the idea of the transcendental subject and the distinction between the world of phenomena and the thing in itself. Wittgenstein's investigation of the conditions of possibility that the world is described by propositions leads to the assertion that both the world and language are together in logical space. The latter constitutes the a priori and transcendental condition of the possibility that language “reaches out” to reality. For both the theories - in the “Critique of Pure Reason” and in the “Tractatus Logico-Philosophicus” - the idea of the boundary is important. In the “Critique of Pure Reason” it is the boundary of possible experience and cognition, while in the “Tractatus Logico-Philosophicus” it is the boundary of what can be thought and expressed by meaningful propositions. Related to the different definitions of the boundary is the difference in the treatment of mathematised natural science. For “The Critique of Pure Reason” was created in the era of unconditional acceptance of Newtonian mechanics. And the “Tractatus Logico-Philosophicus” was created at the time of the crisis of the Newtonian paradigm and its replacement by other notions of time and space. However, the idea of boundary, which is present in both doctrines, determines closeness in the attitude towards metaphysics between the author of “The Critique of Pure Reason” and the author of “The Tractatus Logico-Philosophicus”. The study also shows that Wittgenstein did not follow logicism in his philosophy of mathematics. For him, both mathematical objects and propositions of logic are constructions. The conviction about the constructive character of mathematical and logical objects shows an affinity with the Kantian tradition in the philosophy of mathematics. (shrink)

Chapter 4 of Being Known outlines an integrated metaphysics and epistemology for the metaphysical—absolute—notions of necessity and possibility. The leading idea is to view the modal status of a proposition as the deliverance of a set of fundamental Principles of Possibility, and our ability to recognise modal status as issuing from an implicit knowledge of these principles. Peacocke aims at a middle way between the extremes of Lewis-style realism about modality and the various—conventionalist, expressivist, Wittgensteinian—forms of non-cognitivism that were prominent (...) in the last century. An attraction of his account is its unified treatment both of a priori logical—more generally, conceptual—necessity and possibility and of a posteriori necessities of essence, identity, origin and constitution, etc. The treatment is ambitious and rich in invention and original detail, but Peacocke professes himself more wedded to the general approach than to the particular development. I shall correspondingly confine my remarks, more or less, to the general approach. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:242 HISTORY OF PHILOSOPHY his political and religious predispositions prodded him to demonstrate that the roots of modern science were in the Christian Middle Ages. Sarton's particular foibles are best understood by referring them to his pacifist commitments and the moralistic assumption that the values of science are transferable to other human endeavors. Categories such as inductivism, conventionalism and Popperianism are of little help in gaining historical understanding. (...) For this, they are in fact Platonic ideals which have little heuristic value. I would venture that a truly historical historiography of science would aid us in spotting errors in the past and help us in the future. My guess is that a good analysis would reveal a major source of trouble to have stemmed from preconceived notions which the history of science was meant to illustrate. Surely some of them have been philosophical in character, and even Baconian or conventionalist. But until recent times, most of these preconceptions have stemmed from religious, nationalistic, or personal motivations, or from scientists who wanted support for a particular concept. I agree with Agassi only in the suggestion that a parti pris was at the root of our troubles. Why, then, substitute a Popperian preconception for a conventionalist one? Why not, on the contrary, combat their distorting influence and reduce their impact? This is in fact what has happened in recent times. As the history of science has fallen into the hands of a gradually organized profession, the blatant motivations --of any type--which colored past historical writings have slowly receded. By a constant and critical confrontation of opposing views among specialists, the purpose for examining the history of science has slowly been transformed. The older external motivations have given way to an interest in the subject for its own sake and a gradual transformation has been in the making for the last few decades. As happens in other human endeavors, professionalization has already raised the standards in the discipline and there is every reason to think it will continue to do so in the future. We need not really be as pessimistic as Agassi, nor embrace his particular salvation. ROGEa HAm~ University o] Cali]ornia, Berkeley A MEDIEVAL ANALYSIS OF INFINITY IN THE COURSEof arguing that time must have had a beginning, St. Bonaventure (1221-74) put forward a demonstration which in some ways seems to anticipate Cantor's definition of infinity.1 Bonaventure pointed out that, if the world were infinitely old, then there would have been an infinite number of annual revolutions of the sun around the ecliptic. But during each such period there occur (roughly) twelve revolutions of the moon, i.e. lunar months or lunations. Thus there would be one infinity which was twelve times another--which, says Bonaventure, is impossible. This attempted proof might be formulated as the following For other adumbrationsof this definition,see I. Thomas,"A TwelfthCentury Paradoxof the Infinite,"Journal o] Symbolic Logic, XXIII (1958), 133-134, and W. & M. Kneale, The Development of Logic (Oxford,1962),p. 440. NOTES AND DISCUSSIONS 243 reductio ad absurdum, in which a revolution of the sun is specified as the period between successive vernal equinoxes. If there could be an infinite set of past lunations, then clearly it could be put in a one-to-one correspondence with a proper sub-set of itself--viz., with the set of past lunar months during which vernal equinoxes occurred. But this consequence is preposterous; no set could be so correlated with its own sub-set. Therefore the set of past lunar months cannot be infinite, and the world must have had a beginning. The passage, which is found in Bonaventure's commentary on the Sentences of Peter Lombard, reads as follows :2 Si mundus est aeternus, revolutiones solis in orbe suo sunt infmitae ; rursus, pro una revolutions solis necesse est fuisse duodecim ipsius lunae: ergo plus revoluta est luna quam sol; et sol infinities: ergo infinitorum ex ea parle, qua infinita sunt, est reperire excessum. Hoe autem est impossibile : ergo etc. PA~-r~asoN BROWN Harpur College, State University o] New York Sententiarum L/b. H, Dist. I, P.I, Art. I, Quaest. II, as found in S. Bonaventurme, Opera Omnla... (shrink)

Richard Rorty's Philosophy and the Mirror of Nature strikes a deathblow to modern European philosophy by telling a story about the emergence, development and decline of its primary props: the correspondence theory of truth, the notion of privileged representations and the idea of a self-reflective transcendental subject. Rorty's fascinating tale—his-story—is regulated by three fundamental shifts which he delineates in detail and promotes in principle: the move toward anti-realism or conventionalism in ontology, the move toward the demythologizing of the (...) Myth of the Given or anti-foundationalism in epistemology, and the move toward detranscendentalizing the subject or dismissing the mind as a sphere of inquiry. (shrink)

This book on mathematics, logic, and experience by the doyen of the Vienna Circle is an almost completely revised reprint of the volume originally published in 1957. The book is organized into four chapters, the first of which treats "mathematics and logic" and is one page in length. The other three chapters, "Logic and Experience," "Mathematics and Experience," and "Conventionalism and Its Refutation," share equally the remaining pages of the book. The validity of the principle of logic, Kraft argues, (...) is the indispensable condition for order and knowledge. Consequently, logic cannot be an abstraction from the natural laws and cannot contain the formalized laws of reality. Rather logic has to be--and this is in accordance with Port-Royal and Wundt--a normative science. Kraft reminds us that only propositions which occur in predicate logic or class logic may have a truth value. Kraft therefore characterizes the principle of identity and the principle of contradiction as rules which are prelogical in nature, since they are the basis of order and serve as the norms of correct thinking. The validity of these prelogical rules rests on the fact that they constitute order and must consequently be accepted as necessary. The conception of logic as normative science puts the author in opposition to the view held by the Vienna Circle, namely, that the application of logic does not contain any problem. In Kraft's position, on the contrary, the necessity arises of showing the conditions under which logic is applicable. In respect of the applicability of logic, the nature of the reality serving as material in this application makes a difference; for the logical relation between the universal and the particular finds its fulfillment and its determination with regard to the content provided by reality. The condition which logic requires for its application is that the "manifold" be capable of being ordered and that it thereby make universality possible. In a similar way Kraft attempts to work out the conditions for the applicability of arithmetic and geometry, which like logic are independent of experience in respect to their validity. According to the author, arithmetic can be applied insofar as operative relations between numbers correspond to classes of sets. Geometry is applicable insofar as the coordination of certain empirical phenomena with geometrical elements and relations is possible. The applicability of geometry consequently presupposes the validity of certain natural laws, thereby denying the thesis of conventionalism that these can be arbitrarily chosen. Kraft argues convincingly in the third part of his book for his own thesis by showing the shortcomings of Dingler's procedure of exhaustion.--H. H. (shrink)

Once upon a time, logical conventionalism was the most popular philosophical theory of logic. It was heavily favored by empiricists, logical positivists, and naturalists. According to logical conventionalism, linguistic conventions explain logical truth, validity, and modality. And conventions themselves are merely syntactic rules of language use, including inference rules. Logical conventionalism promised to eliminate mystery from the philosophy of logic by showing that both the metaphysics and epistemology of logic fit into a scientific picture of reality. For (...) naturalists of all stripes, this was paradise. Alas, paradise was lost. By the end of the twentieth century, logical conventionalism had been almost universally abandoned. But more recently, it has been revitalized. This chapter provides an overview of logical conventionalism and its history, clears away misunderstandings, and briefly responds to both the canonical objections to conventionalism (from Quine, Dummett, Boghossian, and many others) as well as new objections (from Field and Golan). From paradise lost, to paradise regained: logical conventionalism is back. (shrink)

Part I deals with language and knowledge. Chapter 1: Plato’s Cratylus presents two opposing views of meaning—naturalism and conventionalism—and finds both wanting. Aristotle’s De Interpretatione offers a compromise between these views: the relations between written and spoken words and between spoken words and mental states are conventional, but that between mental states and the objects they represent is natural. Chapter 2: Aristotle holds a correspondence theory of truth, and he treats necessity as a property that a statement has (...) in relation to what it asserts. These are important for his claim that scientific knowledge must be derived from necessarily true first principles. Chapter 3: Posterior Analytics argues that the human mind is so related to the world that it is able to grasp the basic categories and kinds existing in reality. Modrak rejects as overly Cartesian the intuitionist interpretation of nondemonstrative knowledge of first principles and universal concepts; instead, she argues, Aristotle is an empiricist and moderate realist: really existing kinds cause humans to know them through sense-experience and induction. But it remains mysterious how they are able to do this. Chapter 4: Aristotle’s three types of demonstrative science—mathematics, natural science, and first philosophy—are all empirically based. The method of dialectic employing endoxa complements this empirical approach. (shrink)

Conventionalism about mathematics claims that mathematical truths are true by linguistic convention. This is often spelled out by appealing to facts concerning rules of inference and formal systems, but this leads to a problem: since the incompleteness theorems we’ve known that syntactic notions can be expressed using arithmetical sentences. There is serious prima facie tension here: how can mathematics be a matter of convention and syntax a matter of fact given the arithmetization of syntax? This challenge has been pressed (...) in the literature by Hilary Putnam and Peter Koellner. In this paper I sketch a conventionalist theory of mathematics, show that this conventionalist theory can meet the challenge just raised , and clarify the type of mathematical pluralism endorsed by the conventionalist by introducing the notion of a semantic counterpart. The paper’s aim is an improved understanding of conventionalism, pluralism, and the relationship between them. (shrink)

Poincaré is well known for his conventionalism and structuralism. However, the relationship between these two theses and their place in Poincaré׳s epistemology of science remain puzzling. In this paper I show the scope of Poincaré׳s conventionalism and its position in Poincaré׳s hierarchical approach to scientific theories. I argue that for Poincaré scientific knowledge is relational and made possible by synthetic a priori, empirical and conventional elements, which, however, are not chosen arbitrarily. By examining his geometric conventionalism, his (...) hierarchical account of science and defence of continuity in theory change, I argue that Poincaré defends a complex structuralist position based on synthetic a priori and conventional elements, the mind-dependence of which precludes epistemic access to mind-independent structures. (shrink)

ABSTRACT I motivate ‘Origin Conventionalism’—the view that which facts about one’s origins are essential to one’s existence depends partly on our person-directed attitudes. One important upshot is that the view offers a novel and attractive solution to the Nonidentity Problem. That problem typically assumes that the sperm-egg pair from which a person originates is essential to that person’s existence; in which case, for many future persons that come into existence under adverse conditions, had those conditions not been realized, the (...) individuals wouldn’t have existed. This is problematic because it delivers the counter-intuitive conclusion that it’s not wrong to bring about such adverse conditions since they don’t harm anyone. Origin Conventionalism, in contrast, holds that whether a person’s sperm-egg origin is essential to their existence depends on their person-directed attitudes. I argue that this provides a unique and attractive way of preserving the intuition that the actions in the ‘nonidentity cases’ are morally wrong because of the potential harm done to the individuals in question. (shrink)

One common objection to Conventionalism about modality is that since it is contingent what our conventions are, the modal facts themselves will thereby be contingent. A standard reply is that Conventionalists can accept this, if they reject the S4 axiom, that what is possibly possible is possible. I first argue that this reply is inadequate, but then continue to argue that it is not needed, because the Conventionalist need not concede that the contingency of our conventions has any bearing (...) on the modal status of necessary truths. It is explained why this does not compromise the Conventionalist claim that necessity – and particularly, essence – is due to conventions. (shrink)

In the mid twentieth century, logical positivists and many other philosophers endorsed a simple equation: something was necessary just in case it was analytic just in case it was a priori. Kripke’s examples of a posteriori necessary truths showed that the simple equation is false. But while positivist-style inferentialist approaches to logic and mathematics remain popular, there is no inferentialist account of necessity a posteriori. I give such an account. This sounds like an anti-Kripkean project, but it is not. Some (...) of Kripke’s remarks even suggest this kind of approach. This inferentialist approach reinstates neither the simple equation nor pure conventionalism about necessity a posteriori. But it does lead to something near enough, a type of impure conventionalism. In recent years, metaphysically heavyweight approaches to modality have been popular, while other approaches have lagged behind. The inferentialist, impure conventionalist theory of necessity I describe aims to provide a metaphysically lightweight option in modal metaphysics. (shrink)

The daring idea that convention - human decision - lies at the root of so-called necessary truths, on the one hand, and much of empirical science, on the other, reverberates through twentieth-century philosophy, constituting a revolution comparable to Kant's Copernican revolution. Conventionalism is the first comprehensive study of this radical turn. One of the conclusions it reaches is that the term 'truth by convention', widely held to epitomize conventionalism, reflects a misunderstanding that has led to the association of (...) conventionalism with relativism and postmodernism. Conventionalism, this book argues, did not contend that truths can be stipulated, but rather, that stipulations are often confused with truths. Their efforts were thus directed toward disentangling truth and convention, not reducing truth to convention."--Jacket. (shrink)

In what sense is the direction of time a matter of convention? In 'The Direction of Time', Hans Reichenbach makes brief reference to parallels between his views about the status of time’s direction and his conventionalism about geometry. In this article, I: (1) provide a conventionalist account of time direction motivated by a number of Reichenbach’s claims in the book; (2) show how forwards and backwards time can give equivalent descriptions of the world despite the former being the ‘natural’ (...) direction of time; and (3) argue that this offers an important middle-ground position between existing realist and antirealist accounts of the direction of time. (shrink)

Distinctively mathematical explanations (DMEs) explain natural phenomena primarily by appeal to mathematical facts. One important question is whether there can be an ontic account of DME. An ontic account of DME would treat the explananda and explanantia of DMEs as ontic structures and the explanatory relation between them as an ontic relation (e.g., Pincock 2015, Povich 2021). Here I present a conventionalist account of DME, defend it against objections, and argue that it should be considered ontic. Notably, if indeed it (...) is ontic, the conventionalist account seems to avoid a convincing objection to other ontic accounts (Kuorikoski 2021). (shrink)

In this paper, I take issue with a core commitment of logical conventionalism: that we impose a logic on ourselves by adopting general linguistic conventions governing our use of logical terms, thereby determining the meanings of the logical constants and which of our inferences are valid. Drawing on Kripke’s ‘adoption problem’, I argue that general logical principles cannot be adopted, either explicitly or implicitly. I go on to argue that the meanings of our logical terms, and the validity of (...) our inferences, cannot depend on our adoption of logico-linguistic conventions. (shrink)