We study the non-Fregean propositional logic with propositional quantifiers, denoted by $\mathsf{SCI}_{\mathsf{Q}}$. We prove that $\mathsf{SCI}_{\mathsf{Q}}$ does not have the finite model property and that it is undecidable. We also present examples of how to interpret in $\mathsf{SCI}_{\mathsf{Q}}$ various mathematical theories, such as the theory of groups, rings, and fields, and we characterize the spectra of $\mathsf{SCI}_{\mathsf{Q}}$-sentences. Finally, we present a translation of $\mathsf{SCI}_{\mathsf{Q}}$ into a classical two-sorted first-order logic, and we use the translation to prove some model-theoretic properties (...) of $\mathsf{SCI}_{\mathsf{Q}}$. (shrink)

According to Frege a proposition—or, in his terms, a thought—is an abstract structured entity constituted by senses which satisfies, at least, the three following properties: it can be semantically assessed as true or as false, it is the object of so called propositional attitudes and it can be grasped. What Frege meant by 'grasping' is the peculiar way in which we can have epistemic access to propositions. The possibility for propositions to be grasped is put by Frege as (...) a warrant for their existence: to challenge their graspability would amount to jeopardise their ontological reality. But is it true, as Frege uncritically maintained, that the "graspability requirement" is satisfied as far as propositions (as he conceived them) are concerned? This is the topic of the present work. A negative answer to the above mentioned question has been given in recent time by the representatives of what has come to be labelled the "cognitive turn" in analytical philosophy. People such as Fodor and Johnson-Laird patently denied the possibility for propositions, conceived à la Frege, to be accessed by the grasping relation. What grounds their position is, to put it roughly, the following train of thought: in order for something to be the target of the grasping relation it must enter the mind. Nothing which is different from a mental entity can enter the mind. Therefore, what can be grasped must be mental. The upshot of this move implies, among other things, the rejection of that radical anti-psychologism which was characteristic of the forefathers of the analytical tradition. In our work we shall try to resist their conclusion by showing that it is not necessary to zero the distinction between propositions and mental entities in order to provide an adequate account of the grasping relation. What one has to give up, instead, is only Frege's late Platonism of the "third realm" which, in our view, is a wholly unnecessary and dispensable accretion of his picture. For, as we shall show, if Platonism is in place it is difficult to provide an account of the grasping relation which makes no use of the "representationalist hypothesis" — i.e. of the hypothesis that ideas mediate our access to whatever can be given to us. But representationalism, once in place, makes the theoretical role of the notion of sense dispensable or purely additional. (shrink)

In this paper I argue indirectly for Frege's semantics, in particular for his conception of propositions, by reviewing some difficulties faced by one of the main contemporary alternative approaches, i.e., the direct reference theory. While Frege's semantics can yield an explanation of cognitive value and belief-preservation, the alternative approach seems to run into trouble here. I shall also briefly consider the question of whether epistemic issues should be of any concern for semantics, i.e., whether the feature mentioned above should (...) really be regarded as an advantage of Frege's theory. (shrink)

The aim of the paper is to sketch a principle of individuation that is intended to serve the Fregean notion of a proposition, a notion I take for granted. A salient feature of Fregean propositions, i.e. complexes of modes of presentation of objects, is that they are fine-grained items, so fine-grained that even synonymous sentences might express different Fregean propositions. My starting point is the principle labelled by Gareth Evans the Intuitive Criterion of Difference for (...) Thoughts, which states that it is impossible coherently to take different mental attitudes to the same proposition. As a logical truth, this is a synchronic principle, the application of which is restricted to attitudes held at a single time. I argue that such a restriction might be reasonably lifted and, on the basis of an adequate notion of attitude-retention, I propose an admissible diachronic extension of the principle. (shrink)

Stephen Schiffer 2003 presents six arguments against the Fregean model of propositions, according to which propositions are the referents of that-clauses and structured entities made out of concepts. Schiffer advances an alternative view: propositions are unstructured pleonastic entities. My purpose is to argue in favour of the main tenets of the Fregean model by countering each of Schiffer’s arguments and sketching the guidelines for a theory of concepts as basic components of propositions.

Anderson and Welty have recently advanced an argument for the claim that the laws of logic are ontologically dependent upon a necessarily existent mind, i.e. God. In this paper I argue that a key premise of Anderson and Welty’s argument—viz., a premise which asserts that \(x\) is intrinsically intentional only if \(x\) is mind-dependent—is false, for on a broadly Fregean account of propositions, propositions are intrinsically intentional but not mind-dependent.

One of the most pressing issues in contemporary semantics is whether propositions are structured entities that should be individuated in terms of their components or, contrarily, they lack structure and should be individuated in terms of their inferential relations. Another one is whether propositions should always contain all the information that is needed to deem them true or false—whether they should always be Fregean propositions. The latter debate might seem to presuppose a certain position in the (...) former. However, it is the first aim of this paper to argue that the two debates are orthogonal. Moreover, we will use Frege’s thoughts as an example of what we would contemporarily call ‘propositions’ that, though trivially Fregean, lack structure. Since it is not uncontroversial that Frege’s thoughts are unstructured, it is the second aim of this paper to show that it follows from Frege’s writings that they are. (shrink)

This dissertation is about the structure of thought. Following Gottlob Frege, I define a thought as the sort of content relevant to determining whether an assertion is true or false. The historical component of the dissertation involves interpreting Frege’s actual views on the structure of thought. I argue that Frege did not think that a thought has a unique decomposition into its component senses, but rather the same thought can be decomposed into senses in a variety of distinct ways. I (...) extend Frege’s position and use it to develop an account of the hierarchy of senses, the senses expressed by indexicals and demonstratives, and the distinction between logical and non-logical structure. I also discuss various connections with the nature of meta-representation, our capacity for reflective judgment, some aspects of the structure of conscious experience, the way we perceive regions of space and durations of time, and our conscious awareness of our own perceptions and events of thinking. (shrink)

What are thoughts, or propositions, exactly? I develop an answer to this question in relation to the Russellian and Fregean views – propositions as facts and propositions as contents –, defending a Kantian alternative: propositions as acts. I move from natural or naïve Russellianism and its difficulties to more sophisticated and promising Fregeanism, which can respond to these difficulties but only at the expense of leaving open serious explanatory gaps of its own. Along the way, (...) I develop Kantianism as incorporating what is promising in Fregeanism while closing the gaps this view left open, and present it more systematically at the end. (shrink)

When I say ‘Hesperus is Phosphorus’, I seem to express a proposition. And when I say ‘Joan believes that Hesperus is Phosphorus’, I seem to ascribe to Joan an attitude to the same proposition. But what are propositions? And what is involved in ascribing propositional attitudes?

The paper is an extended version of a talk given to the XXXth Conference on the History of Logic devoted to the work of Professor Roman Suszko . Its aim is to present Sentential Calculus with Identity in comparison with other formalizations of propositional identity.

This paper answer the question how propositions whose truth is relativized to times, places, asserters or assessers can, despite their relativity, be used to represent the world.

This note sketches how a theory of procedural semantics may offer a solution to the problem of the unity of the proposition. The current revival of the notion of structured meaning has made the problem of propositional unity pressing. The problem, stated in its simplest form, is how an individual a and a property F combine into the proposition P that a is an F; i.e. how two different kinds of objects combine into a third kind of object capable of (...) having properties that neither of its constituents could have. Constraints imposed on P include that P must be capable of being true/false, being known/believed to be true/false, and occurring as argument of propositional connectives, such as entailment. (shrink)

In his Grundgesetze, §32, Frege launched the idea that the meaning of a sentence is given by its truth condition, or, in his particular version, the condition under which it will be a name of the True. This, indeed, was only one of the many roles in which truth has to serve within the Fregean system. In particular, truth is an absolute notion in the sense that bivalence holds: every Gedanke is either true or false, in complete independence of (...) any conative activity, whether by God or man. Thus various epistemological notions, such as the correctness of an assertion made, or judgement passed, are reducible to this absolute notion of truth: an assertion made through the utterance of a declarative sentence is correct when the proposition expressed by the sentence in question is true. Given this absolute status of truth it is not surprising that Frege is of the opinion that truth is a sui generis notion which has to be left unanalyzed and, indeed, which is indefinable. (shrink)

It is a commonly held view that Frege's doctrine of senses and references is not compatible with the idea that there are de re beliefs. The present paper is meant to challenge that view. Moreover, it seeks to show that, instead of forcing Frege's semantic framework to answer questions raised by twentieth-century philosophy of language, we could try to find other questions to which it might be an answer. It is argued that the proper treatment of Frege's views requires the (...) acknowledgement of the central role of individualistic epistemology in his thought. Once this is recognized, Frege's doctrine of senses and references can be considered a theory, or at least a sketch of a theory, of cognition, which has interesting connections with Kant's and Husserl's views. (shrink)

According to Frege's principle the denotation of a sentence coincides with its truth-value. The principle is investigated within the context of abstract algebraic logic, and it is shown that taken together with the deduction theorem it characterizes intuitionistic logic in a certain strong sense.A 2nd-order matrix is an algebra together with an algebraic closed set system on its universe. A deductive system is a second-order matrix over the formula algebra of some fixed but arbitrary language. A second-order matrix A is (...) Fregean if, for any subset X of A, the set of all pairs a,b such that X{a} and X{b} have the same closure is a congruence relation on A. Hence a deductive system is Fregean if interderivability is compositional. The logics intermediate between the classical and intuitionistic propositional calculi are the paradigms for Fregean logics. Normal modal logics are non-Fregean while quasi-normal modal logics are generally Fregean.The main results of the paper: Fregean deductive systems that either have the deduction theorem, or are protoalgebraic and have conjunction, are completely characterized. They are essentially the intermediate logics, possibly with additional connectives. All the full matrix models of a protoalgebraic Fregean deductive system are Fregean, and, conversely, the deductive system determined by any class of Fregean second-order matrices is Fregean. The latter result is used to construct an example of a protoalgebraic Fregean deductive system that is not strongly algebraizable. (shrink)

A deductive system \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\mathcal{S}$$ \end{document} (in the sense of Tarski) is Fregean if the relation of interderivability, relative to any given theory T, i.e., the binary relation between formulas\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\{ \left\langle {\alpha,\beta } \right\rangle :T,\alpha \vdash s \beta and T,\beta \vdash s \alpha \},$$ \end{document}is a congruence relation on the formula algebra. The multiterm deduction-detachment theorem is a natural generalization of (...) the deduction theorem of the classical and intuitionistic propositional calculi (IPC) in which a finite system of possibly compound formulas collectively plays the role of the implication connective of IPC. We investigate the deductive structure of Fregean deductive systems with the multiterm deduction-detachment theorem within the framework of abstract algebraic logic. It is shown that each deductive system of this kind has a deductive structure very close to that of the implicational fragment of IPC. Moreover, it is algebraizable and the algebraic structure of its equivalent quasivariety is very close to that of the variety of Hilbert algebras. The equivalent quasivariety is however not in general a variety. This gives an example of a relatively point-regular, congruence-orderable, and congruence-distributive quasivariety that fails to be a variety, and provides what apparently is the first evidence of a significant difference between the multiterm deduction-detachment theorem and the more familiar form of the theorem where there is a single implication connective. (shrink)

Many philosophers, including direct reference theorists, appeal to naively to 'modes of presentation' in the analysis of belief reports. I show that a variety of such appeals can be analyzed in terms of a precise theory of modes of presentation. The objects that serve as modes are identified intrinsically, in a noncircular way, and it is shown that they can function in the required way. It is a consequence of the intrinsic characterization that some objects are well-suited to serve as (...) modes that present individuals and while others are well-suited to serve as modes that present properties (though such modes do not `determine' the objects they present---there is no necessary connection between a mode m and the individual x or property F that it presents). Moreover, it is also a consequence that the modes for properties and individuals can be organized into complexes that are structurally identical to Russellian propositions having the represented properties and individuals as constituents. Not only is the relationship between modes and Fregean senses and modes of presentation explored in the paper, but also the idea that the theory of modes of presentation developed in the paper can serve as a theory of concepts. (shrink)

of my axiomatic theory of abstract objects.¹ The theory asserts the ex- istence not only of ordinary properties, relations, and propositions, but also of abstract individuals and abstract properties and relations. The.

The identity connective is usually interpreted in non-Fregean logic as an operator representing the identity of situations. This interpretation is related to the modal criterion of the identity of sentence correlates, characteristic of the WT system and some stronger systems. However, this connective can also be interpreted in a different way – as an operator representing the identity of propositions. The “propositional” interpretation is in turn associated with the modal-contents criterion of the identity of sentence correlates. This begs (...) the question of whether there is a system of non-Fregean logic, providing an adequate formalization of this criterion. The aim of the paper is to systematize the metalogical and philosophical context of the issue and to point to a system that provides its solution. (shrink)

What is involved in acquiring a russellian proposition (x, φ) as content of an attitude: what does it take for one to acquire such an attitude de re? How do we gain access to x itself so as to be able to have (x, φ) as content of our thought?

A number of traditional roles that propositions are supposed to play are outlined. Philosophical theories of the nature of propositions are then surveyed, together with considerations for and against, with an eye on the question whether any single notion of a proposition is suited to play all or any of these roles. Approaches discussed include: (1) the structureless possible-worlds theory; (2) the structured Russellian theory; and (3) the structured Fregean theory. It is noted that it is often (...) unclear whether these are accounts of what propositions are, ontologically speaking, or whether they are accounts of how propositions are best represented in a formal semantic theory. (shrink)

This paper examines the potential for abstracting propositions – an as yet untested way of defending the realist thesis that propositions as abstract entities exist. I motivate why we should want to abstract propositions and make clear, by basing an account on the neo-Fregean programme in arithmetic, what ontological and epistemological advantages a realist can gain from this. I then raise a series of problems for the abstraction that ultimately have serious repercussions for realism about (...) class='Hi'>propositions in general. I first identify problems about the number of entities able to be abstracted using these techniques. I then focus on how issues of language relativity result in problems akin to the Caesar problem in arithmetic by exposing circularity and modal concern over the status of the criterion of identity for propositions. (shrink)

This paper is partly exegetical, partly systematic. I argue that Frege's account of what he called “colouring” contains some important insights on how communication is related to mental states such as mental images or emotions. I also show that the Fregean perspective is supported by current research in psycholinguistics and that a full understanding of some linguistic phenomena that scholars have accounted for in terms of either semantics or pragmatics need involve psycholinguistic elements.

We present a new logic-based approach to the reasoning about knowledge which is independent of possible worlds semantics. \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\in_K}$$\end{document} is a non-Fregean logic whose models consist of propositional universes with subsets for true, false and known propositions. Knowledge is, in general, not closed under rules of inference; the only valid epistemic principles are the knowledge axiom Kiφ → φ and some minimal conditions concerning common knowledge in a group. Knowledge (...) is explicit and all forms of the logical omniscience problem are avoided. Various stronger epistemic properties such as positive and/or negative introspection, the K-axiom, closure under logical connectives, etc. can be restored by imposing additional semantic constraints. This yields corresponding sublogics for which we present sound and complete axiomatizations. As a useful tool for general model constructions we study abstract versions of some 3-valued logics in which we interpret truth as knowledge. We establish a connection between \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\in_K}$$\end{document} and the well-known syntactic approach to explicit knowledge proving a result concerning equi-expressiveness. Furthermore, we discuss some self-referential epistemic statements, such as the knower paradox, as relaxations of variants of the liar paradox and show how these epistemic “paradoxes” can be solved in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\in_K}$$\end{document}. Every specific \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\in_K}$$\end{document}-logic is defined as a certain extension of some underlying classical abstract logic. (shrink)

We show that there are continuum many different extensions of SCI (the basic theory of non-Fregean propositional logic) that lie below WF (the Fregean extension) and are closed under substitution. Moreover, continuum many of them are independent from WB (the Boolean extension), continuum many lie above WB and are independent from WH (the Boolean extension with only two values for the equality relation), and only countably many lie between WH and WF.

I develop here a novel version of the Fregean view of belief ascriptions (i.e., sentences of the form ‘S believes that p’) and I explain how my view accounts for various problem cases that many philosophers have supposed are incompatible with Fregeanism. The so-called problem cases involve (a) what Perry calls essential indexicals and (b) de re ascriptions in which it is acceptable to substitute coreferential but non-synonymous terms in belief contexts. I also respond to two traditional worries about (...) what the sense of a proper name could be, and I explain how my view provides intuitively pleasing solutions to Kripke’s ‘London’–‘Londres’ puzzle and his Paderewski puzzle. Finally, in addition to defending my view, I also argue very briefly against Russellian alternatives to Fregeanism. (shrink)

This book articulates and defends Fregean realism, a theory of properties based on Frege's insight that properties are not objects, but rather the satisfaction conditions of predicates. Robert Trueman argues that this approach is the key not only to dissolving a host of longstanding metaphysical puzzles, such as Bradley's Regress and the Problem of Universals, but also to understanding the relationship between states of affairs, propositions, and the truth conditions of sentences. Fregean realism, Trueman suggests, ultimately leads (...) to a version of the identity theory of truth, the theory that true propositions are identical to obtaining states of affairs. In other words, the identity theory collapses the gap between mind and world. This book will be of interest to anyone working in logic, metaphysics, the philosophy of language or the philosophy of mind. (shrink)

Those inclined to believe in the existence of propositions as traditionally conceived might seek to reduce them to some other type of entity. However, parsimonious propositionalists of this type are confronted with a choice of competing candidates – for example, sets of possible worlds, and various neo-Russellian and neo-Fregean constructions. It is argued that this choice is an arbitrary one, and that it closely resembles the type of problematic choice that, as Benacerraf pointed out, bedevils the attempt to (...) reduce numbers to sets – should the number 2 be identified with the set Ø or with the set Ø, Ø? An “argument from arbitrary identification” is formulated with the conclusion that propositions (and perhaps numbers) cannot be reduced away. Various responses to this argument are considered, but ultimately rejected. The paper concludes that the argument is sound: propositions, at least, are sui generis entities. (shrink)

Recently there has been a surge of new Fregeans who claim that the direct designation theory, as understood by contemporary Russellians, does not, and cannot, account for the different cognitive significance of statements containing different but codesignative names or indexicals. Instead, they say we must use a fine grained notion of propositions; one which builds a mode of presentation into proposition in addition to including in them the object referred to by the name or indexical in the sentence expressing (...) the proposition. Thus we have Mark Richard, John Perry, and Mark Crimmins championing theories that build the mode of presentation into propositions, making the mode of presentation affect the truth conditions of belief reports. What is interesting, though, is that all three accept the direct designationalists claim that proper names, indexicals, and demonstratives are directly referential.I present four problems for the direct designation theorists and argue that the problem the new Fregeans use to motivate their move to include cognitive significance in propositions is the least basic of the four problems. I then provide an account of beliefs of singular propositions which does not require us to build modes of presentations into propositions and which solves the problems posed for the direct designation theory. (shrink)

I defend the Fregean model of propositions: propositions are the referents of that-clauses and structured entities made of concepts. Schiffer has presented a group of arguments against the Fregean model and advanced an alternative view: propositions are unstructured pleonastic entities. My purpose is twofold: to counter each of his arguments sketching the guidelines for a theory of concepts as basic constituents of propositions; to maintain that the notion of pleonastic entity is not robust enough (...) for claiming the existence of propositions. (shrink)

Davidson's paratactic account of indirect quotation preserves the apparent relational structure of indirect speech but without assuming, in the Fregean manner, that the thing said by a sayer is a proposition. I argue that this is a mistake. As has been recognised by some critics, Davidson's account suffers from analytical shortcomings which can be overcome by redeploying the paratactic strategy as a means of referring to propositions. I offer a quick and comprehensive survey of these difficulties and a (...) concise propositional solution. Further, I argue that Davidson's more general philosophical commitments provide no reason not to embrace the propositional strategy: despite appearances, to invoke propositions in the way suggested is consistent with Davidson's holism and consequent doctrine of semantic indeterminacy. (shrink)

In ‘What Reference Has to Tell Us about Meaning’, Stephen Schiffer argues that many of the objects of our beliefs, and the contents of our assertoric speech acts, have what he calls the relativity feature. A proposition has the relativity feature just in case it is an object-dependent proposition ‘the entertainment of which requires different people, or the same person at different times or places, to think of [the relevant object] in different ways’ (129). But as no Fregean or (...) Russellian proposition can possibly have such a feature, we must either (i) give up on these traditional theories of propositional content in favor of an account that can allow for the relativity feature, or else (ii) explain why the things we believe, and say, oftentimes seem to have this feature even though they, in fact, do not. Schiffer pursues the former option; in this essay, I pursue the latter. (shrink)

We present $\in_I$-Logic (Epsilon-I-Logic), a non-Fregean intuitionistic logic with a truth predicate and a falsity predicate as intuitionistic negation. $\in_I$ is an extension and intuitionistic generalization of the classical logic $\in_T$ (without quantifiers) designed by Sträter as a theory of truth with propositional self-reference. The intensional semantics of $\in_T$ offers a new solution to semantic paradoxes. In the present paper we introduce an intuitionistic semantics and study some semantic notions in this broader context. Also we enrich the quantifier-free language (...) by the new connective < that expresses reference between statements and yields a finer characterization of intensional models. Our results in the intuitionistic setting lead to a clear distinction between the notion of denotation of a sentence and the here-proposed notion of extension of a sentence (both concepts are equivalent in the classical context). We generalize the Fregean Axiom to an intuitionistic version not valid in $\in_I$. A main result of the paper is the development of several model constructions. We construct intensional models and present a method for the construction of standard models which contain specific (self-)referential propositions. (shrink)

We identify two senses of ‘pragmatics’ and related terms that give rise to two different methods of propositional individuation. The first one is the contextualist approach that essentially acknowledges contextual information to take part in the determination of what is said by the utterance of a sentence. In this sense, Pragmatics relies on the Principle of Compositionality and interprets propositions as structured entities. It epitomises the Building-block Model of Propositional Individuation. The general approach that makes what the agents do (...) the grounding level of philosophical and linguistic analysis characterizes the second sense, Pragmatism. It finds its clearest expression in Peirce’s Pragmatist Maxim, and it relies on the Fregean Principle of Context, and supports a view of propositions as unstructured entities. This is the Organic Model of Propositional Individuation. There is a test, the Analytic Equivalence Test, that tells apart the two models. According to it, the answer to the question whether a theory makes room for different but analytically equivalent propositions determines the model the theory belongs in. A positive answer classifies the theory as belonging to the building-block model; a negative answer allocates the theory within the organic model. (shrink)

Abstract:I begin by asking whether there was a Fregean revolution in logic, and, if so, in what did it consist. I then ask whether, and if so, to what extent, Russell played a decisive role in carrying through the Fregean revolution, and, if so, how. A subsidiary question is whether it was primarily the influence of The Principles of Mathematics or Principia Mathematica, or perhaps both, that stimulated and helped consummate the Fregean revolution. Finally, I examine cases (...) in which logicians sought, in the years immediately following publication of the Principles and Principia, to integrate traditional logic into the Fregean paradigm, focusing on the case of Henry Bradford Smith. My proposed conclusion is that there were different means adopted for rewriting the syllogism, in terms of the logic of relations, in terms of the propositional calculus, or as formulas of the monadic predicate calculus. This suggests that the changes implemented as a result of the adoption of the Russello-Fregean conception of logic could more accurately be called by Grattan-Guinness’s term convolution, rather than revolution. (shrink)

The aim of this paper is to survey a number of features which are constitutive of the Millian account of attitude-ascription and which I take to be irremediably defective. The features in question, some of which have not been fully appreciated, relate mainly to the failure of that account to accommodate certain fundamental aspects of our ordinary practise of attitude attribution. I take it that one’s definitive method of assessment of a given semantical theory consists in checking out whether or (...) not the theory is able to accommodate our pre-theoretical linguistic intuitions; to use Keith Donnellan’s phrase, such intuitions are the bottom line in philosophical argumentation about language. And I argue that the Millian appeal to modes of presentation taken both as semantically irrelevant and external to the singular contents believed, known, etc., as well as the associated pragmatic strategy employed to discard our ground-floor judgements, are insufficient to palliate the manifest implausibility of a number of Millian descriptions of our attitudes, especially descriptions of our second-order attitudes. (shrink)

This paper provides a semantics for propositional attitude ascriptions. (In this respect, the title of the paper is quite well chosen.).

This monograph is a defence of the Fregean take on logic. The author argues that Frege ́s projects, in logic and philosophy of language, are essentially connected and that the formalist shift produced by the work of Peano, Boole and Schroeder and continued by Hilbert and Tarski is completely alien to Frege's approach in the Begriffsschrift. A central thesis of the book is that judgeable contents, i.e. propositions, are the primary bearers of logical properties, which makes logic embedded (...) in our conceptual system. This approach allows coherent and correct definitions of logical constants, logical consequence, and truth and connects their use to the practices of rational agents in science and everyday life. (shrink)

There are logics where necessity is defined by means of a given identity connective: \ is a tautology). On the other hand, in many standard modal logics the concept of propositional identity \ can be defined by strict equivalence \}\). All these approaches to modality involve a principle that we call the Collapse Axiom : “There is only one necessary proposition.” In this paper, we consider a notion of PI which relies on the identity axioms of Suszko’s non-Fregean logic (...) SCI. Then S3 proves to be the smallest Lewis modal system where PI can be defined as SE. We extend S3 to a non-Fregean logic with propositional quantifiers such that necessity and PI are integrated as non-interdefinable concepts. CA is not valid and PI refines SE. Models are expansions of SCI-models. We show that SCI-models are Boolean prealgebras, and vice-versa. This associates non-Fregean logic with research on Hyperintensional Semantics. PI equals SE iff models are Boolean algebras and CA holds. A representation result establishes a connection to Fine’s approach to propositional quantifiers and shows that our theories are conservative extensions of S3–S5, respectively. If we exclude the Barcan formula and a related axiom, then the resulting systems are still complete w.r.t. a simpler denotational semantics. (shrink)

This paper aims to construct a picture of knowledge out of Frege’s comments on truth, judgment, assertion, and knowledge. Frege takes truth to be an object, and the act of judgment to be the act of non-judgmental identification of truth qua an object with the reference of a sentence. For him, the propositional knowledge that p is the non-propositional knowledge of the identity between truth and |p|. Propositional knowledge thusly understood is produced by our knowledge of truth qua an object, (...) which is constituted by our abilities to identify truth as such. The Fregean picture of knowledge provides a tight connection between knowledge-how, objectual knowledge, and propositional knowledge. (shrink)

A Commonplace of recent philosophy of mind is that intentional states are relations between thinkers and propositions. This thesis-call it the 'Relational Thesis'-does not depend on any specific theory of propositions. One can hold it whether one believes that propositions are Fregean Thoughts, ordered n-tuples of objects and properties or sets of possible worlds. An assumption that all these theories of propositions share is that propositions are abstract objects, without location in space or time...

This paper explores Kant’s account of propositional content and its implications for the relationship between his notions of knowledge (Wissen) and cognition (Erkenntnis). While previous commentators commonly read Kant as holding a Fregean theory of propositional content, in this paper I argue that Kant’s theory of propositional content aligns more closely with Peter Hanks’ recent account. According to my reading, Kant holds that individual acts of judging are both ontologically and explanatorily prior to propositions or Kantian judgments (Urteil). (...) Furthermore, on my reading, acts of judging for Kant are acts of assertively predicating a property of an object rather than merely acts of neutral predication. This reading challenges the lately popular view that Kant’s notions of knowledge and cognition are not only distinct but also disjunct. I instead suggest that we should regard Kantian knowledge that requires cognitions as its grounds as a species of Kantian cognitions. (shrink)

A formal analysis is offered of Pseudo-Scotus's theory of the conversion of (i) propositions containing singular terms (including propositions with a singular term as predicate): and (ii) propositions with a quantified predicate. An attempt is made to steer a middle course between using the Aristotelian logic as a framework for the analysis, and using a Fregean framework.

Having briefly sketched the aims of our paper, namely, to logically analyse the ascription of propositional attitudes to somebody else in terms, not of Fregean senses or of intensions-with-s, but of the intentional object of the person spoken about, say, the believer or intender (Section 1), we try to introduce the concept of an intentional object as simply as possible, to wit, as coming into view whenever two (or more) subjective belief-worlds strikingly diverge (Section 2). Then, we assess the (...) pros and cons of Frege’s view that the indirect reference of an expression is nothing but its customary sense (Sections 3–4), and call the reader’s attention to the fact that in belief ascriptions de re we take it for granted that the believer’s intentional object is at the same time a ‘citizen’ of the belief ascriber’s subjective world (or, for that matter, the real word), and that the idea of such a ‘dual citizenship’ is even more obviously presupposed in the cases of true belief and propositional knowledge (Section 5). Then, we try to argue that it is more fertile to take the belief ascriber’s intentional object to be, not the whole state of affairs the believer has in mind and thinks to exist, but the latter’s intentional object as such, that is, as being his intentional object (Section 6). Finally, we discuss the intricate and mostly neglected question of whether an intentional object’s inhabiting two or more subjective belief-worlds should be considered to be sort of a ‘transmundane identity’ in the numerical sense or rather in some deviant sense of the term, which can be specified as a momentous subcase of a ‘categorial difference’ (Section 7). (shrink)