The paper first proves the completeness of the first-order predicate logic presented in Carnap’s 1946 article ‘Modalities and quantification’. By contrast the modal logic defined by the semantics Carnap produces is unaxiomatisable. One can though adapt Carnap’s semantics so that a standard completeness proof for a Carnapian version of predicate S5 turns out to be available. //.

In celebrating Arthur Prior we celebrate what he gave to the world. Much of this is measured by what others have made of his ideas after his death. The focus of this paper is a little different. It looks at what Prior himself thought he was accomplishing. In particular it considers Prior’s attitude to the semantic metatheory of the logics that he was interested in. The paper sets out some characteristics of the metalogical study of intensional languages in terms of (...) an indexical theory of truth conditions stated in the language of set theory. In examining Prior’s work using these characteristics, it emerges that Prior had serious reservations about this way of studying modal and tense logics. (shrink)

The aim of this paper is to consider some logical aspects of the debate between the view that the present is the only 'real' time, and the view that the present is not in any way metaphysically privileged. In particular I shall set out a language of first-order predicate tense logic with a now predicate, and a first order (extensional) language with an abstraction operator, in such a way that each language can be shewn to be exactly translatable into the (...) other. I shew that this translation is preserved at the metalinguistic level, so that equivalent truth conditions can be defined in a tensed metalanguage or an indexical metalanguage. I then make some remarks about the connection between proofs of relative consistency and metaphysical truth; and some historical remarks about Arthur Prior's use of formal logic in expressing his presentist views. (shrink)

It is widely believed that empiricism, though once dominant, is now extinct. This turns out to be mistaken because of incorrect assumption about the initial dominance of logical empiricism and about the content and variety of logical empiricist views. In fact, prominent contemporary philosophers (Quine and Kuhn) who are thought to have demolished logical empiricism are shown to exhibit central views of the logical empiricists rather than having overthrown them.

Mereological principles are often controversial; perhaps the most stark contrast is between those who claim that Weak Supplementation is analytic—constitutive of our notion of proper parthood—and those who argue that the principle is simply false, and subject to many counterexamples. The aim of this paper is to diagnose the source of this dispute. I’ll suggest that the dispute has arisen by participants failing to be sensitive to two different conceptions of proper parthood: the outstripping conception and the non-identity conception. I’ll (...) argue that the outstripping conception, can deliver the analyticity of Weak Supplementation on at least one sense of ‘analyticity’. I’ll also suggest that the non-identity conception cannot do so independently of considerations to do with mereological extensionality. (shrink)

Does a commitment to mereological universalism automatically bring along a commitment to the controversial doctrine of mereological extensionalism—the view that objects with the same proper parts are identical? A recent argument suggests the answer is ‘yes’. This paper attempts a systematic response to the argument, considering nearly every available line of reply. It argues that only one approach—the mutual parts view—can yield a viable mereology where universalism does not entail extensionalism.

The paper studies first order extensions of classical systems of modal logic (see (Chellas, 1980, part III)). We focus on the role of the Barcan formulas. It is shown that these formulas correspond to fundamental properties of neighborhood frames. The results have interesting applications in epistemic logic. In particular we suggest that the proposed models can be used in order to study monadic operators of probability (Kyburg, 1990) and likelihood (Halpern-Rabin, 1987).

This article traces the development of possible worlds semantics through the work of: Wittgenstein, 1913-1921; Feys, 1924; McKinsey, 1945; Carnap, 1945-1947; McKinsey, Tarski and Jónsson, 1947-1952; von Wright, 1951; Becker, 1952; Prior, 1953-1954; Montague, 1955; Meredith and Prior, 1956; Geach, 1960; Smiley, 1955-1957; Kanger, 1957; Hintikka, 1957; Guillaume, 1958; Binkley, 1958; Bayart, 1958-1959; Drake, 1959-1961; Kripke, 1958-1965.

This paper tries to show that although Carnap's distinction between internal and external questions in terms of a linguistic framework is philosophically important, and that although metaphysical questions are, as Carnap claims, external questions, Carnap's conclusion that all meaningful metaphysical questions are practical questions about language is not justified. This is done in three steps. First, it is argued that it is plausible to suppose that there is for languages a kind of external question other than the one kind Carnap (...) specifies, because “language games” are like the game of chess in important ways and there seems to be such a kind of question for chess. Second, it is shown that at least some metaphysical questions can quite reasonably be interpreted as being of this kind. Third, reasons are given for rejecting Carnap's grounds for claiming that there is only one kind of external question. (shrink)

It is widely held that propositions are structured entities. In The Nature and Structure of Content (2007), Jeff King argues that the structure of propositions is none other than the syntactic structure deployed by the speaker/hearers who linguistically produce and consume the sentences that express the propositions. The present paper generalises from King’s position and claims that syntax provides the best in-principle account of propositional structure. It further seeks to show, however, that the account faces severe problems pertaining to the (...) fine individuation of propositions that the account entails. The ‘fineness of cut’ problem has been raised by Collins (The unity of linguistic meaning, 2007) and others. King (Philos Stud 163(3):763–781, 2013) responds to these complaints in ways this paper rebuts. Thus, the very idea of structured propositions is brought into doubt, for the best in-principle account of such structure appears to fail. (shrink)

The object of this paper is to show why recent research in the psychology of deductive and probabilistic reasoning does not have.

Russell's involuted path in the development of his theory of logical types from 1903 to 1910-13 is examined and explained in terms of the development in his early philosophy of the notion of a logical subject vis-a-vis the problem of the one and many; i.e., the problem for russell, first, of a class-as-one as a logical subject as opposed to a class as many, and, secondly, of a propositional function as a single and separate logical subject as opposed to existing (...) only in the many propositions that are its values. (shrink)

The article presents two concepts of indexicality. The first, more standard and narrow, identifies indexicality with systematic (meaning controlled) context-sensitivity. The second, broader (derived from the work of Jerzy Pelc), conceives indexicality in terms of the potential variability of the general semiotic characteristics expressions (with respect to the context of use). The text introduces the concept of a pragmatic matrix that serves for a schematic representation of contextual variation. I also recapitulate briefly the views of Jerzy Pelc on the meaning (...) (manner of use) and use of expressions, and briefly indicate its relationship approaches with contemporary debates around contextualism and status of non-sentential speech acts. Finally, the relationship between the broader notion of indexicality and the directival theory of meaning is analyzed. (shrink)

History and the modern sciences are characterized by what is sometimes called a “methodological naturalism” that disregards talk of divine agency. Some religious thinkers argue that this reflects a dogmatic materialism: a non-negotiable and a priori commitment to a materialist metaphysics. In response to this charge, I make a sharp distinction between procedural requirements and metaphysical commitments. The procedural requirement of history and the sciences—that proposed explanations appeal to publicly-accessible bodies of evidence—is non-negotiable, but has no metaphysical implications. The metaphysical (...) commitment is naturalistic, but is both a posteriori and provisional, arising from the fact that formore than 400 years no proposed theistic explanation has been shown capable ofmeeting the procedural requirement. I argue that there is nothing to prevent religious thinkers from seeking to overturn this metaphysically naturalistic stance. But in order to do so they would need to show that their proposed theistic explanations are the best available explanations of a range of phenomena. Until this has been done, the metaphysical naturalism of history and the sciences remains defensible. (shrink)

Wittgenstein’s Tractatus contains some very striking theses. We read, e.g., that „in a sense” we could not be wrong in logic, and that the whole subject matter of the theory of modalities could be reconstructed on the ground of the insights in the mechanism of the linguistic reference. Yet in the light of the last sentences of Tractatus the whole semantics turns out to be principaly ineffable. In our paper we will try to clarify these matters. We show how these (...) theses could be made plausible in the context of the transcendental method of Wittgenstein’s Tractatus. (shrink)

Conceptual engineering is the design, implementation, and evaluation of concepts. Conceptual engineering includes or should include de novo conceptual engineering (designing a new concept) as well as conceptual re-engineering (fixing an old concept). It should also include heteronymous (different-word) as well as homonymous (same-word) conceptual engineering. I discuss the importance and the difficulty of these sorts of conceptual engineering in philosophy and elsewhere.

Two-dimensional approaches to semantics, broadly understood, recognize two "dimensions" of the meaning or content of linguistic items. On these approaches, expressions and their utterances are associated with two different sorts of semantic values, which play different explanatory roles. Typically, one semantic value is associated with reference and ordinary truth-conditions, while the other is associated with the way that reference and truth-conditions depend on the external world. The second sort of semantic value is often held to play a distinctive role in (...) analyzing matters of cognitive significance and/or context-dependence. (shrink)

What is involved in the meaning of our expressions? Frege suggested that there is an aspect of an expression.

This explorative article is organized around a set of questions concerning the concept of a function. First, a summary of certain general facts about functions that are a common coin in contemporary logic is given. Then Frege's attempt at clarifying the nature of functions in his famous paper Function and Concept and in his Grundgesetze is discussed along with some questions which Freges' approach gave rise to in the literature. Finally, some characteristic uses of functional notions to be found in (...) the work of Bernard Bolzano and in Edmund Husserl's early work are presented and elucidated. (shrink)

The symmetries of a physical theory are often associated with two things: conservation laws and representational redundancies. But how can a physical theory's symmetries give rise to interesting conservation laws, if symmetries are transformations that correspond to no genuine physical difference? In this article, I argue for a disambiguation in the notion of symmetry. The central distinction is between what I call "analytic" and "synthetic" symmetries, so called because of an analogy with analytic and synthetic propositions. "Analytic" symmetries are the (...) turning of idle wheels in a theory's formalism, and correspond to no physical change; "synthetic" symmetries cover all the rest. I argue that analytic symmetries are distinguished because they act as fixed points or constraints in any interpretation of a theory, and as such are akin to Poincaré's conventions or Reichenbach's 'axioms of co-ordination', or 'relativized constitutive a priori principles'. (shrink)

In this paper we consider whether a pragmatics of semantic content can be a useful approach to legal interpretation. More broadly speaking, since a pragmatic conception of meaning is a component of inferential semantics, we consider whether an inferentialist approach to legal interpretation can be useful in dealing with some problems of this important aspect of law. In other words, we ask whether Legal Inferentialism is a suitable conception for legal interpretation. In Section 1 we briefly consider the semantics/pragmatics debate (...) in contemporary philosophy of language and in relation to legal interpretation. In Section 2 we discuss the relations between a pragmatics of semantic content and an inferentialist conception of content. In Section 3 we consider how Inferentialism can be applied to legal interpretation. Finally, in Section 4 we consider some possible advantages and drawbacks of Inferentialism applied to legal interpretation and adjudication. (shrink)

A novel non-classical mereological concept built up by blending the Metaphysics of Xavier Zubiri and the Quantum Theory of Atoms in Molecules of R. F. W. Bader is proposed. It is argued that this philosophical concept is necessary to properly account for what happens in a chemical reaction. From the topology of the gradient of the laplacian of the electronic charge density, \\) within the QTAIM framework, different “atomic graphs” are found for each atom depending on the molecular context, reflecting (...) how the whole molecule affects each atom. In this way, the whole molecular system imposes certain geometry onto each atom, and every atom exhibits different ontological modality. On the Metaphysical side, for X. Zubiri real things are system of different notes. The physical essence is the subsystem of essential notes with a coherence unity. Every note is grounded on the essence. The unity of the system is present somehow in every note-of beforehand, and every essential note-of turns towards the other. The essence determines the position of each note within the system, and hence is the grounding for modality of the notes. By conflating both “theories” and taking the atoms as essential notes, we propose the concept of “Molecule in atoms-of” or “atoms-of in Molecules”. Within the course of a chemical reaction the atoms-of modified their “of” as required by the new molecular unity being formed, and eventually change their modality. The validity to the Zubiri’s statements, is attained by evaluating necessity and possibility in a set-up of finite accessible “possible worlds”. (shrink)

A new kind of defense of the Millian theory of names is given, which explains intuitive counter-examples as depending on pragmatic effects of the relevant sentences, by direct application of Grice’s and Sperber and Wilson’s Relevance Theory and uncontroversial assumptions. I begin by arguing that synonyms are always intersubstitutable, despite Mates’ considerations, and then apply the method to names. Then, a fairly large sample of cases concerning names are dealt with in related ways. It is argued that the method, as (...) applied to the various cases, satisfies the criterion of success: that for every sentence in context, it is a counter-example to Millianism to the extent that it has pragmatic effects (matching speakers’ intuitions). (shrink)

The author puts forth an approach to propositional attitude contexts based upon the view that one does not have beliefs of ordinary extensional entitiessimpliciter. Rather, one has beliefs of such entities as presented in various manners. Roughly, these are treated as beliefs of ordered pairs — the first member of which is the ordinary extensional entity and the second member of which is a predicate that it satisfies. Such an approach has no difficulties with problems involving identity, such as of (...) The Morning Star and The Evening Star (section 1). Given the second members of the pairs, the modes of presentation, it is quite natural to allow exportation everywhere. There is no need for essentialism. (One also can have non-essentialistic modal logic if one grants analyticity or the like.) (section 2). Given that the second member of the pair need only be one that is satisfied by the entity that is the first member (and need not be specificative), the method has no difficulties when one is concerned only with discriminations (and not specifications) (section 3). When this method is combined with the Frege-Carnap method of descriptions, fictional entities can be accommodated; Goodman''s unicorn-picture and the like can be brought within a Tarskian semantics; and Geach''s difficulties with intentional identity appear to be handled (section 4). Given the author''s ordered pair construals, there appears to be no additional need for notional construals; i.e., the author''s one unified method appears satisfactory for dealing with both traditionalde re (relational) andde dicto (notional) construals. The Paradox of the Knower and the like do not appear formulatable against the author''s approach. (section 5). The author also argues against the basic principles behind the Church-Langford translation argument (section 6). (shrink)

Carnap’s seminal ‘Empiricism, Semantics and Ontology’ makes important use of the notion of a framework and the related distinction between internal and external questions. But what exactly is a framework? And what role does the internal/external distinction play in Carnap’s metaontology? In an influential series of papers, Matti Eklund has recently defended a bracingly straightforward interpretation: A Carnapian framework, Eklund says, is just a natural language. To ask an internal question, then, is just to ask a question in, say, English. (...) To try to ask an external question is to try, absurdly, to ask a question in no language at all. Finding that so trivial an I/e distinction can’t help to explain Carnap’s deflationary metaontology, Eklund is led to attribute to Carnap a view he calls ontological pluralism. In this paper, I show that Eklund misreads Carnap, and I argue that this misreading obscures fundamental features of Carnap’s philosophy. I then defend an account of frameworks as what Carnap called semantical systems, and I place this account in the context of Carnap’s philosophical program of explication. Finally, I discuss the role that frameworks and the I/e distinction play in ESO, showing that ESO provides no reason to attribute the doctrine of ontological pluralism to Carnap. (shrink)

This book is conceived as an introductory text into the theory of syntactic and semantic information, and information flow.

David Kaplan distinguishes between character and content in his theory of demonstratives and indexicals. This paper argues that David Kaplan's theory of demonstratives contains two different, incompatible, descriptions of what character is. It argues that one of them is superior. It argues that, ultimately, a theory of indexicals needs a theory of structured characters.

According to a criterion of difference for thoughts derived from Frege, two thoughts are different if it is at the same time possible for a rational subject to take conflicting epistemic attitudes toward them. But applying this criterion to perception-based demonstrative thoughts seems to slice thoughts too finely and lead to their proliferation which makes the criterion implausible. I argue that such a proliferation of thoughts is blocked by transforming this criterion into a related one that is shown to be (...) essential in individuating thoughts as they are conceived of in this paper. This has to do with the fact that what makes demonstrative sense synchronically or diachronically the same is the subject’s unreflective taking-for-granted that the object that she is perceiving is a single object that does not require her to keep track of it in the sense supposed by Evans and Campbell. (shrink)

Ever since Kripke’s influential arguments against descriptivism philosophers have attempted to provide solutions to Frege’s puzzle of substitution failure that adhere to Naïve Semantics—the view that names contribute their referents and referents alone to propositions expressed by sentences containing them. Recently, philosophers have also appealed to psychological objects called mental files, which are used to represent and store information on individuals, in solving the puzzle. Combining the two promises to revive a simple commonsensical theory while, at least prima facie, doing (...) away with the need to rely on Fregean senses. Though I welcome the combined approach, I argue that the only plausible version of it is a pretense-based one. (shrink)

This is a response to Jerry Fodor’s article, Fodor, J. (1980). "Methodological solipsism as a research strategy in cognitive psychology." Behavioral and Brain Sciences 3: 63-109.

Combining logics has become a rapidly expanding enterprise that is inspired mainly by concerns about modularity and the wish to join together tailor made logical tools into more powerful but still manageable ones. A natural question is whether it offers anything new over and above existing standard languages. By analysing a number of applications where combined logics arise, we argue that combined logics are a potentially valuable tool in applied logic, and that endorsements of standard languages often miss the point. (...) Using the history of quantified modal logic as our main example, we also show that the use of combined structures and logics is a recurring theme in the analysis of existing logical systems. (shrink)