In the following the details of a state-of-affairs semantics for positive free logic are worked out, based on the models of common inner domain - outer domain semantics. Lambert's PFL system is proven to be weakly adequate (i.e., sound and complete) with respect to that semantics by demonstrating that the concept of logical truth definable therein coincides with that one of common truth-value semantics for PFL. Furthermore, this state-of-affairs semantics resists the challenges stemming from the (...) slingshot argument since logically equivalent statements do not always have the same extension according to it. Finally, it is argued that in such a semantics all statements of a certain language for PFL are state-of-affairs-related extensional as well as salva extensione extensional, even though their salva veritate extensionality fails. (shrink)

The search for the extensions of sentences can be guided by Frege’s “principle of compositionality of extension”, according to which the extension of a composed expression depends only on its logical form and the extensions of its parts capable of having extensions. By means of this principle, a strict criterion for the admissibility of objects as extensions of sentences can be derived: every object is admissible as the extension of a sentence that is preserved under the substitution of co-extensional (...) expressions. The question is: what are the extensions of elementary sentences containing empty singular terms, like ‘Vulcan rotates’. It can be demonstrated that in such sentences, states of affairs as structured objects (but not truth-values) are preserved under the substitution of co-extensional expressions. Hence, such states of affairs are admissible (while truth-values are not) as extensions of elementary sentences containing empty singular terms. (shrink)

Danielle Macbeth disagrees with the view that there are logical truths in an ontological sense, and argues that we have no adequate epistemological account of our access to such features of reality. In my response I recall some main aspects of my ontological and epistemological formulation of logic as a science, and argue that neither Quine’s considerations against meaning, nor Benacerraf’s considerations against Gödel’s realism, show the untenability of an approach to logical truth in terms of logical (...) propositions that denote logical states of affairs.Danielle MacBeth discorda da tese que há verdades lógicas em um sentido ontológico e argumenta que não há um tratamento adequado de nosso acesso epistêmico à tais aspectos da realidade. Em minha réplica relembro algumas características principais de minha formulação ontológica e epistemológica da lógica como ciência, e argumento que nem as considerações de Quine contra a noção de significado, nem as considerações de Benacerraf contra o realismo de Gödel, mostram a invalidade de uma concepção de verdade lógica em termos de proposições que denotam estados de coisa lógicos. (shrink)

In this important study D. M. Armstrong offers a comprehensive system of analytical metaphysics that synthesises but also develops his thinking over the last twenty years. Armstrong's analysis, which acknowledges the 'logical atomism' of Russell and Wittgenstein, makes facts the fundamental constituents of the world, examining properties, relations, numbers, classes, possibility and necessity, dispositions, causes and laws. All these, it is argued, find their place and can be understood inside a scheme of states of affairs. This is a (...) comprehensive and rigorously this-worldly account of the most general features of reality, argued from a distinctive philosophical perspective, and it will appeal to a wide readership in analytical philosophy. (shrink)

If one takes seriously the idea that a scientific language must be extensional, and accepts Quine’s notion of truth-value-related extensionality, and also recognizes that a scientific language must allow for singular terms that do not refer to existing objects, then there is a problem, since this combination of assumptions must be inconsistent. I will argue for a particular solution to the problem, namely, changing what is meant by the word ‘extensionality’, so that it would not be the truth-value that had (...) to be preserved under the substitution of co-extensional expressions, but the state of affairs that the sentence described. The question is whether or not elementary sentences containing empty singular terms, such as ‘Vulcan rotates’, are extensional in the substitutivity sense. Five conditions are specified under which extensionality in the substitutivity sense of such sentences can be secured. It is demonstrated that such sentences are state-of-affairs-as-extension-related extensional. This implies that such sentences are also truth-value-related extensional in Quine’s sense, but not truth-value-as-extension-related extensional. (shrink)

In this important study D. M. Armstrong offers a comprehensive system of analytical metaphysics that synthesises but also develops his thinking over the last twenty years. Armstrong's analysis, which acknowledges the 'logical atomism' of Russell and Wittgenstein, makes facts the fundamental constituents of the world, examining properties, relations, numbers, classes, possibility and necessity, dispositions, causes and laws. All these, it is argued, find their place and can be understood inside a scheme of states of affairs. This is a (...) comprehensive and rigorously this-worldly account of the most general features of reality, argued from a distinctive philosophical perspective, and it will appeal to a wide readership in analytical philosophy. (shrink)

This book addresses the metaphysics of Armstrongian states of affairs, i.e. instantiations of naturalist universals by particulars. The author argues that states of affairs are the best candidate for truthmakers and, in the spirit of logical atomism, that we need no molecular truthmakers for positive truths. In the book's context, this has the pleasing result that there are no molecular states of affairs. Following this account of truthmaking, the author first shows that the particulars in (first-order) (...) states of affairs are bare particulars. He then argues that the properties in states of affairs are simple, non-relational and concrete universals. Next, he argues that (material) relations in states of affairs are external relations. Lastly, he argues that a state of affairs is unified by a distinctive formal relation without giving rise to Bradley’s regress. (shrink)

In this article it will be argued that it is a misapprehension to think that there is just one ‘state of affairs’ within an organization. Yet, many organizations seriously try to create the impression that there is indeed just one state of affairs. This certainly goes for hierarchically structured organizations. Therefore, various imbroglios and paradoxes arising in this way will here be briefly highlighted.

States of affairs are considered as ontologically basic. Different from similar accounts, these states of affairs are introduced as simple occurrences or items of a certain kind. The ontological importance of these occurrences lies in their semantical function as exemplars for the introduction of the most basic linguistic devices. The ontological basis proposed is particularist. Universals are an aspect of our routine behaviour as we neglect the differences of particular properties of things. Abstract objects are produced in our (...) routine, language-dependent operations if we leave aside the fact that we usually operate with some definite material. (shrink)

"Possibilism" is the view that among the things that there are, or which have being»are included individual objects which do not exist, although they conceivably could have existed, and would have existed if certain possible-but-unrealized states of affairs had obtained. In this paper I try to develop a plausible ontological context from which the possibilist thesis could be deduced. Among the assumptions that are required for the argument is the idea that a state of affairs is a (...) complex entity individuated by its constituents and their arrangement in that state of affairs. This is contrasted with Chisholm's strategy for individuating states of affairs. If one also assumes that possible states of affairs have their status as possibilities as a matter of logical necessity, then it is shown how a possibilist could argue that non-existent objects would have being as constituents of possible-but- non-obtaining states of affairs. In particular, possibilism could be seen as the view that the being of non-existent objects is required as an ontological ground of the possiblity of there having existed objects other than those things that do actually exist. (shrink)

Motivated by examples, many philosophers believe that there is a significant distinction between states of affairs that are striking and therefore call for explanation and states of affairs that are not striking. This idea underlies several influential debates in metaphysics, philosophy of mathematics, normative theory, philosophy of modality, and philosophy of science but is not fully elaborated or explored. This paper aims to address this lack of clear explanation first by clarifying the epistemological issue at hand. Then it (...) introduces an initially attractive account for strikingness that is inspired by the work of Paul Horwich and adopted by a number of philosophers. The paper identifies two logically distinct accounts that have both been attributed to Horwich and then argues that, when properly interpreted, they can withstand former criticisms. The final two sections present a new set of considerations against both Horwichian accounts that avoid the shortcomings of former critiques. It remains to be seen whether an adequate account of strikingness exists. (shrink)

Los análisis de Adolf Reinach, fenomenólogo de la primera hora, acerca de los estados de cosas negativos se enmarcan dentro de la problemática más general de la relación entre Lógica y Ontología. Su idea de una teoría a priori del objeto, en cuanto disciplina que debe estudiar todas las clases posibles de objetos, le llevó al descubrimiento de una región de entidades revestidas de una necesidad interna y de una inteligibilidad incomparable que constituyen la esfera de lo a priori en (...) sentido propio. Esta labor de Reinach conlleva (a) una ampliación de la esfera de lo a priori, la cual va más allá de lo meramente formal y (b) una lucha contra la subjetivización de esta esfera. La temprana muerte de Reinach en el frente durante la Primera Gran Guerra le impidió la sistematización de muchas de sus consideraciones. En este trabajo se reconstruye críticamente su teoría de los estados de cosas negativos y se plantean las líneas centrales de la crítica realizada por Roman Ingarden. Reinach’s analysis on negative states of affairs belongs to the more general issue of the relationships between Logic and Ontology. His idea of an a priori theory of object, which task is to study all the possible kinds of objects, leads him to discover a region of entities which have an inner necessity and a incomparable intelligibility and which constitute the region of the a priori in the proper sense. This involves (a) an enlargement of the sphere of the a priori, which goes farther than the merely formal and (b) a criticism of those positions which have as consequence a subjectivization od this sphere. Reinach died during the First World War at an early age and could not systematize some of his profound and insightful analysis. This paper offers a critical presentation of his theory of negative states of affairs taking into account Roman Ingarden ’s comments. (shrink)

Philosophical semantics requires an ontology that includes negative as well as positive states of affairs as truth-makers and truth-breakers. Theories that try to do without negative states of affairs while interpreting propositional truth as positive correspondence with existent states of affairs are inherently inadequate and incomplete. A semantics and ontology of negative states of affairs can also do justice to positive states of affairs, since the iterated negative state of affairs that a negative (...) state of affairs exists describes a positive state of affairs, but the iterated positive state of affairs that a positive state of affairs exists never describes a negative state of affairs. Negative states of affairs are not only essential to semantics, but to a complete description of the world; they include phenomena of presence in absence and the metaphysics of gaps, lacks, holes and interstitia. The conceivability of an empty or null universe as consisting of nothing but negative states of affairs recalls a famous problem of Parmenides. (shrink)

If possible worlds are conjunctions of states of affairs, as in David Armstrong’s combinatorial theory, then is the empty world to be thought of as the null conjunction of states of affairs? The proposal seems plausible, and has received support from David Efird, Tom Stoneham, and Armstrong himself. However, in this paper, it is argued that the proposal faces a trilemma: either it leads to the absurd conclusion that the actual world is empty; or it reduces to a (...) familiar representation of the empty world in which the concept of a null conjunction plays no role; or it needs to make room for the null individual of certain non-classical mereologies. (shrink)

This article considers the concept of Sachverhalt in the Austrian philosophical tradition of the 19 th century. In particular, we examine the works of Bernard Bolzano, Rudolf Lotze, Julius Bergmann, Franz Brentano, Karl Stumpf, Anton Marty and Alexius Meinong. The emergence of the concept of Sachverhalt, or the state of things, in extensive philosophical discussions is connected with the works of L. Wittgenstein and phenomenologist Adolf Reinach. Reinach criticized previous theories of judgment. He wrote that they were built on (...) the evaluation, affirmation or negation of a particular object. And that is a mistake. Only introduction of the concept of Sachverhalt allows us to solve a number of logical contradictions that faces the theory of judgment. We find this term in the works of Lotze and Stumpf, but what is its position in their theories? Does it solve the problems that mentions Reinach? Therefore, in this study, we answer the question of how fair is Reinach’s criticism. Also we analyze the various theories of judgment in Austrian philosophy to determine whether it is possible to speak of Sachverhalt as a single entity connecting the concepts of all authors in the Austrian tradition. (shrink)

The paper re-evaluates Prior's tenets about indeterminism and relativity from the point of view of the current state of the debate. We first discuss Prior's claims about indeterministic tense logic and about relativity separately and confront them with new technical developments. Then we combine the two topics in a discussion of indeterministic approaches to space-time logics. Finally we show why Prior would not have to "dig his heels in" when it comes to relativity: We point out a way of (...) combining the existential import of the distinction between past, present, and future with a frame-relative notion of the present. (shrink)

Epistemology and epistemic logic At first sight, the modern agenda of epistemology has little to do with logic. Topics include different definitions of knowledge, its basic formal properties, debates between externalist and internalist positions, and above all: perennial encounters with sceptics lurking behind every street corner, especially in the US. The entry 'Epistemology' in the Routledge Encyclopedia of Philosophy (Klein 1993) and the anthology (Kim and Sosa 2000) give an up-to-date impression of the field. Now, epistemic logic started as a (...) contribution to epistemology, or at least a tool in its modus operandi, with the seminal book Knowledge and Belief (Hintikka's 1962, 2005). Formulas like Ki for "the agent i knows that " Bi for "the agent i believes that " provided logical forms for stating and analyzing philosophical propositions and arguments. And more than that, their model-theoretic semantics in terms of ranges of alternatives provided an appealing extensional way of thinking about what agents know or believe in a given situation. In particular, on Hintikka's view, an agent knows those propositions which are true in all situations compatible with what she knows about the actual world; i.e., her current range of uncertainty. (shrink)

Here I motivate and defend a new counterexample to logical (or non-causal) versions of the direct argument for responsibility-determinism incompatibilism. Such versions purport to establish incompatibilism via an inference principle to the effect that non-responsibility transfers along relations of logical consequence, including those that hold between earlier and later states of a deterministic world. Unlike previous counterexamples, this case doesn't depend on preemptive overdetermination; nor can it be blocked with a simple modification of the inference principle. In defending (...) this counterexample, I show that van Inwagen's technical notion of being partly responsible for a state of affairs, which figures in his statement of the principle, is problematic. (shrink)

In this dissertation, I argue that vagueness is a metaphysical phenomenon---that properties and objects can be vague---and propose a trivalent theory of vagueness meant to account for the vagueness in the world. In the first half, I argue against the theories that preserve classical logic. These theories include epistemicism, contextualism, and semantic nihilism. My objections to these theories are independent of considerations of the possibility that vagueness is a metaphysical phenomenon. However, I also argue that these theories are not capable (...) of accommodating metaphysical vagueness. As I move into my positive theory, I first argue for the possibility of metaphysical vagueness and respond to objections that charge that the world cannot be vague. One of these objections is Gareth Evans' much-disputed argument that vague identities are impossible. I then describe what I call the logic of states of affairs. The logic of states of affairs has as its atomic elements states of affairs that can obtain, unobtain, or be indeterminate. Finally, I argue that the logic of states of affairs is a better choice for a theory of vagueness than other logics that could accommodate metaphysical vagueness such as supervaluationism and degree theories. Preference should be given to the logic of states of affairs because it provides a better explanation of higher-order vagueness and does a better job of matching our ordinary understandings of logical operators than supervaluationism does and because it provides a more general account of indeterminacy than the account given by degree theories. Advisor: Reina Hayaki. (shrink)

One of the main criteria for an adequate semantic theory is that it solve the problem of substitution into intensional contexts, otherwise known as Frege's Puzzle. Given common-sense assumptions about how natural language functions, a contradiction arises in explaining attitude reports. For example, Lisa might believe that Twain is tall, but not believe that Clemens is tall. Lisa is perhaps unaware that the names "Twain" and "Clemens" corefer. But Twain's being tall is just Clemens' being tall, so one and the (...) same state of affairs is either believed or not. The tasks are to specify what Lisa believes and to accurately and consistently describe the situation given certain foundational semantic principles. ;I argue that of three main semantic frameworks: Davidsonian Semantics, Model-Theoretic Semantics and Propositional Semantics , PS has the best chance to provide a complete, consistent and natural solution. On my view, dynamic propositions are complex states of affairs where things stand in the propositional relation of having expressions of a certain type which pick them out as semantic values and where those expressions stand in appropriate syntactic relations. The propositional relation crucially involves restricted quantification over expression types which are logical features of the language. The sentences "Twain is tall" and "Clemens is tall" express different DP's because even though their constituents are identical, they stand in distinct propositional relations in virtue of the different syntactic expressions. This explains how Lisa could believe one and not the other. These fine-grained propositions successfully serve as both the truth-conditions of sentences and the objects of propositional attitudes. The solution leads to the surprising result that the question of whether singular terms are Fregean or directly referential is actually irrelevant to Frege's Puzzle. ;While DP's are naturalistic and theoretically well-motivated, they face apparent difficulty accounting for translation and being the objects of mental content. The logical form of DP's limits their possible interpretation and thus sheds light on the conceptual framework of its user. I argue that DP's are not beliefs, but cognitive models that serve as interpretations of beliefs in communication. (shrink)

The state of affairs of some things falling under a predicate is supposedly a single entity that collects these things as its constituents. But whether we think of a state of affairs as a fact, a proposition or a possibility, problems will arise if we adopt a plural logic. For plural logic says that any plurality include themselves, so whenever there are some things, the state of affairs of their plural self-inclusion should be a (...) single thing that collects them all. This leads to paradoxes analogous to those that afflict naïve set theory. Here I suggest that they are the very same paradoxes, because sets can be reduced to states of affairs. However, to obtain a consistent theoretical reduction we must restrict the usual axiom scheme of Comprehension for plural logic to ‘stratified’ formulas, to avoid viciously circular definitions. I prove that with this modification to the background plural logic, the theory of states of affairs is consistent; moreover, it yields the axioms of the familiar set theory NFU. (shrink)

Classical logic is often characterized through certain laws such as bi-valence and sharpness of concepts, among others. My view is that its most fundamental feature is a commitment to an objective conception of truth, which goes together with a realistic metaphysical view. Truth is objective in that it derives from the nature of reality, and is not dependent on beliefs, theories, practices, and the like. Classical logic is a theory of logical properties, logical truths, and logical states (...) of affairs. (shrink)

Those who conceive logic as a science have generally favoured one of two alternative conceptions as to what the subject-matter of this science ought to be. On the one hand is the nowadays somewhat old-fashioned-seeming view of logic as the science of judgment, or of thinking or reasoning activities in general. On the other hand is the view of logic as a science of ideal meanings, 'thoughts', or 'propositions in themselves'. There is, however, a third alternative conception, which enjoyed only (...) a brief flowering in the years leading up to the first World War, but whose lingering presence can be detected in the background of more recent ontologising trends in logic, as for example in the 'situation semantics' of Barwise and Perry. This third conception sees logic as a science of special objects called 'Sachverhalte' or 'states of affairs'. A view of this sort is present in simplified form in the works of Meinong, but it received its definitive formulation in the writings of Adolf Reinach, a student of Husserl who is otherwise noteworthy for having anticipated, in a monograph of 1913, large chunks of what later became known as the theory of speech acts.(1). (shrink)

I discuss the foundations of predicate ontologies based on two model notions – elementary states of affairs and eventualities, i.e. ordered pairs of initial and end states of affairs. Vendlerian classifications are oriented towards elementary states and tense logic, while Davidsonian classifications deal with eventualities and event logic. There are two kinds of atemporal predicates - fact and properties. Facts are propositional arguments of second-order predicates which add a special meaning that the embedded proposition was verified. Properties are (...) atemporal first-order predicates that lack eventive interpretation and are not associated with factive frames. Davidsonian states are homogeneous durable spatiotemporal things distinct both from atemporal properties and spatiotemporal dynamic predicates. Davidsonian states are causally independent, while resultatives are causally determined as they reconstruct a preceding event that has caused the end state p. I discuss the contrast between external and internal Davidsonian states. The former lack a priority argument and can be quantified extensionally. The latter have a priority experiential argument and can only be quantified intensionally. External states can be observed, while internal states cannot. (shrink)

This paper focuses on the relation between logic and ontology. In particular, it demonstrates how classical logical theory can clarify the ontological part of Ludwig Wittgenstein’s Tractatus Logico-Philosophicus. To this end, the work examines the adequacy of a formal system that was devised by the Polish logician, mathematician and philosopher Roman Suszko (1919–1979) as a model for the Tractatus. Following a brief explanation of the Tractarian ontology, the main ideas of Suszko’s system and its philosophical significance will be considered. (...) The latter will be illustrated in the context of central Tractarian concepts. Finally, two implications for a better understanding of the Tractarian ontology will be pointed out. (shrink)

This paper tries to determine the philosophical nature of language, its functions, structure and content. It also explains the concept of natural language, ordinary and ideal language i.e. how there is a need of artificial perfect logical language without errors and unclearness in that language. This paper further shows the logical form of language with its syntactical, semantical, innate and acquired criteria for the evaluation of the languages. It deals with the analysis of language to clear what is (...) unclear, to know what is unknown, to make definite what is vague. In this paper I used the method; logical method for interpretation and argumentation, analytical method for simplification, and critical method to investigate the real domain of language. This paper does not deal with ordinary functions of the language but it deals with the conceptual and modular functions of the language. The fundamental aim of this written up is to determine the analytical approach of Wittgenstein to sketch the ‘language as a tool to discuss the state of affairs or facts of the worlds that is also what philosophy does. This paper describes the contributions of rationalism and empiricism in the field of knowing the truths of language. (shrink)

In this short paper I am concerned with basically two especially important issues in Oswaldo Chateaubriand’s Logical Forms II; namely, the dispute between first- and higher-order logic and his conception of logical truth and related notions, like logical property, logical state of affairs and logical falsehood. The first issue was also present in the first volume of the book, but the last is privative of the second volume. The extraordinary significance of both issues (...) for philosophy is emphasized and, though there is a basic agreement with Chateaubriand’s views, some critical remarks are interspersed.Neste pequeno artigo considero basicamente duas questões particularmente importantes em Logical Forms II de Oswaldo Chateaubriand; a saber, a disputa entre a lógica de primeira e de segunda ordem e sua concepção de verdade lógica e noções relacionadas, como as de propriedade lógica, estado de coisas lógico e falsidade lógica. A primeira questão também estava presente no primeiro volume do livro, mas a última apenas aparece no segundo volume. Enfatizo o significado extraordinário de ambas as questões para a filosofia e, embora haja uma concordância básica com as visões de Chateaubriand, algumas observações críticas são inseridas. (shrink)

Abstractionists claim that the only bearers of intrinsic value are abstract, necessarily existing states of affairs. I argue that abstractionism cannot succeed. Though we can model concrete goods such as lives, projects, and outcomes with abstract states, conflating models of goods with the goods themselves has surprising and unattractive consequences. I suggest that concrete states of affairs or facts are the only bearers of intrinsic value. I show how this proposal can overcome the concerns lodged against abstractionism and, (...) in the process, reconnect us with the good. (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)

Empty individual expressions are needed to reconstruct the actual use of scientific language as well as to make logic free from existence assumptions. According to Quine, a language must be extensional to be adequate for the purposes of science. By means of Lambert's non-extensionality argument it can be demonstrated that a language containing empty individual expressions cannot be extensional as long as truth-values are the extensions of sentences. This book investigates the soundness of Lambert's argument and examines the question of (...) whether and how extensionality of a language for free logic can be secured. To achieve these aims, the notion of extensionality is thoroughly analyzed and two new semantic approaches to free logic are developed in which states of affairs, but not truth-values, are the extensions of sentences. These two semantic approaches are defended against the slingshot argument. In this way, two possible solutions to the problem of extensionality arise which use non-existent objects in two different ways: whereas in dual domain semantics non-existent objects serve as referents of empty singular terms, in single domain semantics they serve as hole marker objects that mark the holes in states of affairs where an object is missing due to an irreferental individual expression. (shrink)

This paper tackles the problem of inference in normative systems where norms concerning actions and states of affairs appear together. A deontic logic of actions and states is proposed as a solution. It is made up of two independent deontic logics, namely a deontic logic of action and a deontic logic of states, interlinked by bridging definitions. It is shown at a language and a model level how an agent should look for norms to follow in a concrete situation. (...) It is pointed out that such specific norms are obtained by finding the most specific obligation and the most general prohibition. They are to be derived from all norms applicable to the situation by using the principles of the logic presented in this paper. (shrink)

The stated subject of these lecture courses given by Husserlbetween 1910 and 1918is ‘reason, the word for the mental activities and accomplishments that govern knowledge, give it form and supply it with norms.’ They show their author still pursuing the course set out in the Logical Investigations up to the end of the second decade of the century and displaying utter consistency with stands that he began taking on meaning, analyticity, Platonism, manifolds, mathematics, psychologism, etc. in the 1890s. Thus, (...) they undermine many idées reçues about the development of his thought. The centerpiece of this work is an exploration of the realm of meaning. Moreover, they add new dimensions to standard discussions by taking readers back to the place where phenomenology and analytic philosophy diverged. They show that Husserl tangled long and hard with the very ideas that went into the making of the latter and offer a wealth of interesting insights into sense and meaning, theory of judgment, complete and incomplete meanings, states of affairs, extensional logic, the relationship between logic and mathematics, functions and arguments, propositional functions, quantification, existential generalization, the word ‘all,’ number theory, sets, modality, deductive theory, ideas that are still under discussion today. Prepared for oral delivery in the classroom, they are refreshingly lively and spontaneous. They are clearer, more explicit, and readable than the books Husserl published during his lifetime. (shrink)

This article deals with a question of a most general, comprehensive and profound content as it is the nature of mathematical–logical objects insofar as these are considered objects of knowledge and more specifically objects of formal mathematical theories. As objects of formal theories they are dealt with in the sense they have acquired primarily from the beginnings of the systematic study of mathematical foundations in connection with logic dating from the works of G. Cantor and G. Frege in the (...) last decades of the nineteenth century. Largely motivated by a phenomenologically founded view of mathematical objects/states-of-affairs, I try to consistently argue for their character as objects shaped to a certain extent by intentional forms exhibited by consciousness and the modes of constitution of inner temporality and at the same time as constrained in the form of immanent ‘appearances’ by what stands as their non-eliminable reference, that is, the world as primitive soil of experience and the mathematical intuitions developed in relations of reciprocity within-the-world. In this perspective and relative to my intentions I enter, in the last section, into a brief review of certain positions of G. Sher’s foundational holism and R. Tieszen’s constituted platonism, among others, respectively presented in Sher and Tieszen. (shrink)

I develop new paths to the existence of a concrete necessary being. These paths assume a metaphysical framework in which there are abstract states of affairs that can obtain or fail to obtain. One path begins with the following causal principle: necessarily, any contingent concrete object possibly has a cause. I mark out steps from that principle to a more complex causal principle and from there to the existence of a concrete necessary being. I offer a couple alternative causal (...) principles and paths, too. The paths marked out rely on relatively modest causal principles and avoid many obstacles that traditional cosmological arguments face. (shrink)

It is difficult for a philosopher to contemplate with equanimity the fate which is overtaking, if it has not already overtaken, the word logical. “Logical” is one of a trio of words selected by the Greeks to represent the three main departments of philosophy; and of this trio the other two members, the words “ethical” and “physical,” have at least remained respectable; and to be called “philosophical” is almost a compliment. But to be logical is apparently, at (...) least in England, to enter on very questionable courses: it is to class yourself with every reckless extremist, with the latest and wildest ism in art, politics, and literature, with Russians and Frenchmen and the “Latin mind.” No less a person than H.M. Secretary of State for Foreign Affairs, on no less an occasion than an Assembly of the League of Nations, has lately proclaimed proudly to the gathered nations that lack of logic is the special virtue and privilege of the British Empire. The “lesser breeds with in the law” heard no doubt and trembled, wondering how they could ever compete with a Power to which the laws of thought themselves were mere expediencies. Thus it appears, if Sir Austen Chamberlain is right, that to be logical is to fall into a human weakness or vice, and that this weakness or vice is fortunately commoner outside than inside the British Empire. (shrink)

In this paper, we introduce a new four-valued logic which may be viewed as a variation on the theme of Kubyshkina and Zaitsev's Logic of Rational Agent textbf{LRA} cite{LRA}. We call our logic $ bf LIRA$. In contrast to textbf{LRA}, it has three designated values instead of one and a different interpretation of truth values, the same as in Zaitsev and Shramko's bi-facial truth logic cite{ZS}. This logic may be useful in a situation when according to an agent's point of (...) view her/his reasoning is rational, while from the external one it might be not the case. One may use textbf{LIRA}, if one wants to reconstruct an agent's way of thinking, compare it with respect to the real state of affairs, and understand why an agent thought in this or that way. Moreover, we discuss Kubyshkina and Zaitsev's necessity and possibility operators for textbf{LRA} definable by means of four-valued Kripke-style semantics and show that, due to two negations of textbf{LRA}, two more possibility operators for textbf{LRA} can be defined. Then we slightly modify all these modalities to be appropriate for $bf LIRA$. Finally, we formalize all the truth-functional $ n $-ary extensions of the negation fragment of $bf LIRA$ as well as their basic modal extension via linear-type natural deduction systems. (shrink)

The paper presents an infinite hierarchy of sound and complete axiomatic systems for Two-Dimensional Modal Tense Logic with Historical Necessity, Agents and Acts. A main novelty of these logics is their capacity to represent formally (i) basic action-sentences asserting that such and such an act is performed/omitted by an agent, as well as (ii) causative action-sentences asserting that by performing/omitting a certain act, an agent causes that such and such a state-of-affairs is realized (e.g. comes about/ceases/remains/remains absent). We (...) illustrate how the formal machinery of our systems can be used to reconstruct a number of interesting ideas in the Logic of Agency and Action that have been proposed by authors like von Wright, von Kutschera, Belnap and Segerberg. (shrink)

Hamblin’s Action-State Semantics provides a sound philosophical foundation for understanding the character of the imperative. Taking this as our inspiration, in this paper we present a logic of action, which we call ST, that captures the clear ontological distinction between being responsible for the achievement of a state of affairs and being responsible for the performance of an action. We argue that a relativised modal logic of type RT founded upon a ternary relation over possible worlds integrated (...) with a basic tense logic captures intuitions of the Hamblinian model of imperatives. The logic implements a direct mapping of each of Hamblin’s key concepts: strategies, partial strategies and wholehearted satisfaction. (shrink)

The book State of Affairs reconstructs the controversy over Sachverhalt in the German and Austria tradition. The author offers an overview of the different proposals made regarding the meaning of “Sachverhalt”. The aim is to present various approaches and show different perspectives and methods in studying its meaning. Each of these proposals provides a new definition of the concept. The main theme of these pages it to reproduce the debate about a concept that, finally, has come to be (...) used efficiently in the legal field. The discussion reveals numerous aspects by which philosophy has contributed to this development. (shrink)

Belief revision theory and philosophy of science both aspire to shed light on the dynamics of knowledge – on how our view of the world changes in the light of new evidence. Yet these two areas of research have long seemed strangely detached from each other, as witnessed by the small number of cross-references and researchers working in both domains. One may speculate as to what has brought about this surprising, and perhaps unfortunate, state of affairs. One factor (...) may be that while belief revision theory has traditionally been pursued in a bottom- up manner, focusing on the endeavors of single inquirers, philosophers of science, inspired by logical empiricism, have tended to be more interested in science as a multi-agent or agent-independent phenomenon. (shrink)

Wittgenstein's conceptions considered, from a more general point of view not only classic positions in philosophy of mathematics such as formalism, but the controversy between realism and antirealism as well. The treatment of arithmetic in the Tractatus Logico‐Philosophicus reveals a radically antirealist stance, where by “radical antirealism” which means a conception that deprives arithmetical propositions, identified with equations, of assertability and truth‐aptness, by construing them as expressions of rules of syntax, of rules dealing with signs. The Tractatus’ radical antirealism results (...) in a conception of mathematics that has remarkable points of contact with Hilbert's formalism, even though important qualifications will have to be added to that statement in order to make it minimally acceptable. In virtue of the characterization of the notion of a thought as the logical picture of states of affairs, a mathematical proposition, insofar as it does not express a thought, is not even the logical picture of a state of affairs. (shrink)

Hamblin's Action-State Semantics provides a sound philosophical foundation for understanding the character of the imperative. Taking this as our inspiration, in this paper we present a logic of action, which we call ST, that captures the clear ontological distinction between being responsible for the achievement of a state of affairs and being responsible for the performance of an action. We argue that a relativised modal logic of type RT founded upon a ternary relation over possible worlds integrated (...) with a basic tense logic captures intuitions of the Hamblinian model of imperatives. The logic implements a direct mapping of each of Hamblin's key concepts: strategies, partial strategies and wholehearted satisfaction. (shrink)

States of affairs raise, among others, the following questions: What kind of entity are they (if there are any)? Are they contingent, causally efficacious, spatio-temporal and perceivable entities, or are they abstract objects? What are their constituents and their identity conditions? What are the functions that states of affairs are able to fulfil in a viable theory, and which problems and prima facie counterintuitive consequences arise out of an ontological commitment to them? Are there merely possible (non-actual, non-obtaining) (...) states of affairs? Are there molecular (i.e., negative, conjunctive, disjunctive etc.) states of affairs? Are there modal and tensed states of affairs? In this volume, these and other questions are addressed by David M. Armstrong, Marian David, Herbert Hochberg, Uwe Meixner, L. Nathan Oaklander, Peter Simons, Erwin Tegtmeier and Mark Textor. (shrink)