A truth-preservation fallacy is using the concept of truth-preservation where some other concept is needed. For example, in certain contexts saying that consequences can be deduced from premises using truth-preserving deduction rules is a fallacy if it suggests that all truth-preserving rules are consequence-preserving. The arithmetic additive-associativity rule that yields 6 = (3 + (2 + 1)) from 6 = ((3 + 2) + 1) is truth-preserving but not consequence-preserving. As noted in James (...) Gasser’s dissertation, Leibniz has been criticized for using that rule in attempting to show that arithmetic equations are consequences of definitions. -/- A system of deductions is truth-preserving if each of its deductions having true premises has a true conclusion—and consequence-preserving if, for any given set of sentences, each deduction having premises that are consequences of that set has a conclusion that is a consequence of that set. Consequence-preserving amounts to: in each of its deductions the conclusion is a consequence of the premises. The same definitions apply to deduction rules considered as systems of deductions. Every consequence-preserving system is truth-preserving. It is not as well-known that the converse fails: not every truth-preserving system is consequence-preserving. Likewise for rules: not every truth-preserving rule is consequence-preserving. There are many famous examples. In ordinary first-order Peano-Arithmetic, the induction rule yields the conclusion ‘every number x is such that: x is zero or x is a successor’—which is not a consequence of the null set—from two tautological premises, which are consequences of the null set, of course. The arithmetic induction rule is truth-preserving but not consequence-preserving. Truth-preserving rules that are not consequence-preserving are non-logical or extra-logical rules. Such rules are unacceptable to persons espousing traditional truth-and-consequence conceptions of demonstration: a demonstration shows its conclusion is true by showing that its conclusion is a consequence of premises already known to be true. The 1965 Preface in Benson Mates (1972, vii) contains the first occurrence of truth-preservation fallacies in the book. (shrink)

This paper proposes substitutional definitions of logical truth and consequence in terms of relative interpretations that are extensionally equivalent to the model-theoretic definitions for any relational first-order language. Our philosophical motivation to consider substitutional definitions is based on the hope to simplify the meta-theory of logical consequence. We discuss to what extent our definitions can contribute to that.

A. J. Ayer’s Language, Truth, and Logic had been responsible for introducing the Vienna Circle’s ideas, developed within a Germanophone framework, to an Anglophone readership. Inevitably, this migration from one context to another resulted in the alteration of some of the concepts being transmitted. Such alterations have served to facilitate a number of false impressions of Logical Empiricism from which recent scholarship still tries to recover. In this paper, I will attempt to point to the ways in which LTL (...) has helped to foster the various mistaken stereotypes about Logical Empiricism which were combined into the received view. I will begin by examining Ayer’s all too brief presentation of an Anglocentric lineage for his ideas. This lineage, as we shall see, simply omits the major 19th century Germanophone influences on the rise of analytic philosophy. The Germanophone ideas he presents are selectively introduced into an Anglophone context, and directed towards various concerns that arose within that context. I will focus on the differences between Carnap’s version of the overcoming of metaphysics, and Ayer’s reconfiguration into what he calls the elimination of metaphysics. Having discussed the above, I will very briefly outline the consequences that Ayer’s radicalisation of the Vienna Circle’s doctrines had on the subsequent Anglophone reception of Logical Empiricism. (shrink)

Why should we make our beliefs consistent or, more generally, probabilistically coherent? That it will prevent sure losses in betting and that it will maximize one’s chances of having accurate beliefs are popular answers. However, these justifications are self-centered, focused on the consequences of our coherence for ourselves. I argue that incoherence has consequences for others because it is liable to mislead others, to false beliefs about one’s beliefs and false expectations about one’s behavior. I argue that the moral obligation (...) of truthfulness thus constrains us to either conform to the logic our audience assumes we use, educate them in a new logic, or give notice that one will do neither. This does not show that probabilistic coherence is uniquely suited to making truthful communication possible, but I argue that classical probabilistic coherence is superior to other logics for maximizing efficiency in communication. (shrink)

I argue for two claims: that the ordinary English truth predicate is a gradable adjective and that truth is a property that comes in degrees. The first is a semantic claim, motivated by the linguistic evidence and the similarity of the truth predicate’s behavior to other gradable terms. The second is a claim in natural language metaphysics, motivated by interpreting the best semantic analysis of gradable terms as applied to the truth predicate. In addition to providing (...) arguments for these two claims, I draw out consequences for debates about deflationism and truth-based analyses of notions such as assertion and logical consequence. (shrink)

In this paper, we defend Davidson's program in truth-theoretical semantics against recent criticisms by Scott Soames. We argue that Soames has misunderstood Davidson's project, that in consequence his criticisms miss the mark, that appeal to meanings as entities in the alternative approach that Soames favors does no work, and that the approach is no advance over truth-theoretic semantics.

Halbach has argued that Tarski biconditionals are not ontologically conservative over classical logic, but his argument is undermined by the fact that he cannot include a theory of arithmetic, which functions as a theory of syntax. This article is an improvement on Halbach's argument. By adding the Tarski biconditionals to inclusive negative free logic and the universal closure of minimal arithmetic, which is by itself an ontologically neutral combination, one can prove that at least one thing exists. The result can (...) then be strengthened to the conclusion that infinitely many things exist. Those things are not just all Gödel codes of sentences but rather all natural numbers. Against this background inclusive negative free logic collapses into noninclusive free logic, which collapses into classical logic. The consequences for ontological deflationism with respect to truth are discussed. (shrink)

Most philosophers who study moral responsibility have done so in isolation of the concept of truth. Here, I show that thinking about the nature of truth has profound consequences for discussions of moral responsibility. In particular, by focusing on the very trivial nature of truth—that truth depends on the world and not the other way around—we can see that widely accepted counterexamples to one of the most influential incompatibilist arguments can be shown not only to be (...) false, but also impossible. (shrink)

In his influential Naming and Necessity lectures, Saul Kripke made new sense of modal statements: “Kant might have been a bachelor”, “Königsberg is necessarily identical with Kaliningrad”. Many took the notions he introduced-metaphysical necessity and rigid designation -- to herald new metaphysical issues and have important consequences. In fact, the Kripkean insight is at bottom semantic, rather than metaphysical: it is part of how proper names work that they purport to refer to individuals to whom modal properties can be ascribed. (...) We can see this by reflecting on analytic truths that ground modal claims like the two examples above. (shrink)

Are the laws of nature among the eternal truths that, according to Descartes, are created by God? The basis of those laws is the immutability of the divine will, which is not an eternal truth, but a divine attribute. On the other hand, the realization of those laws, and in particular, the quantitative consequences to be drawn from them, depend upon the eternal truths insofar as those truths include the foundations of geometry and arithmetic.

We sketch an account according to which the semantic concepts themselves are not pathological and the pathologies that attend the semantic predicates arise because of the intention to impose on them a role they cannot fulfill, that of expressing semantic concepts for a language that includes them. We provide a simplified model of the account and argue in its light that (i) a consequence is that our meaning intentions are unsuccessful, and such semantic predicates fail to express any concept, (...) and that (ii) in light of this it is incorrect to characterize the pathology simply as semantic inconsistency; a more nuanced view of the problem is needed. We also show that the defects of the semantic predicates need not undercut the use of a truth theory in a compositional semantics for a language containing them because the meaning theory per se need not involve commitment to the axioms of the truth theory it exploits. (shrink)

Putnam and Davidson both defended coherence theories of justification from the early 1980s onward. There are interesting similarities between these theories, and Putnam’s philosophical development lead to further convergence in the 1990s. The most conspicuous difference between Putnam’s and Davidson’s theories is that they appear to fundamentally disagree on the role and nature of conceptual schemes, but a closer look reveals that they are not as far apart on this issue as usually assumed. The veridicality of perceptual beliefs is a (...) cornerstone of both Davidson’s and Putnam’s later (but not earlier) coherentism. However, this thesis introduces a form of weak foundationalism into their theories, and consequently, those are strictly speaking not pure coherence theories, but hybrids between coherentism and foundationalism. (shrink)

The material interpretation of conditionals is commonly recognized as involving some paradoxical results. I here argue that the truth functional approach to natural language is the reason for the inadequacy of this material interpretation, since the truth or falsity of some pair of statements ‘p’ and ‘q’ cannot per se be decisive for the truth or falsity of a conditional relation ‘if p then q’. This inadequacy also affects the ability of the overall formal system to establish (...) whether or not arguments involving conditionals are valid. I also demonstrate that the Paradox of Indicative Conditionals does not actually involve a paradox, but instead contains some paralogistic elements that make it appear to be a paradox. The discussion of the paradox in this paper further reveals that the material interpretation of conditionals adversely affects the treatment of disjunctions. -/- Much has been said about these matters in the literature that point in the same direction. However, there seems to be some reluctance against fully complying with the arguments against the truth functional account of conditionals, since many of the alternative accounts rely on the material conditional, or at least on an understanding of the conditional as a function of antecedent and consequent in a similar sense as the material conditional. My argument against truth functionality indicates that it may in general involve similar problems to treat conditionals as such functions, whether one deals with theories of truth, assertability or probability. (shrink)

What is the connection between valid inference and true conditionals? Many conditional logics require that when A is a logical consequence of B, "if B then A" is true. Taking counterlogical conditionals seriously leads to systems that permit counterexamples to that general rule. However, this leaves those of us who endorse non-trivial accounts of counterpossible conditionals to explain what the connection between conditionals and consequence is. The explanation of the connection also answers a common line of objection to (...) non-trivial counterpossibles, which is based on a transition from valid arguments to the corresponding conditionals. It also contributes to the wider project of illuminating the connections between contexts of utterance, on the one hand, and the truth-conditions of conditionals uttered in those contexts, on the other. (shrink)

Deflationists claim that the truth predicate was introduced into our language merely to full a certain logico-linguistic function. Oddly enough, the question what this function exactly consists in has received little attention. We argue that the best way of understanding the function of the truth predicate is as enabling us to mimic higher-order quantification in a first-order framework. Indeed, one can show that the full simple theory of types is reducible to disquotational principles of truth. Our analysis (...) has important consequences for our understanding of truth. In this paper, we can only touch on one of them: we will argue that the insubstantiality of truth does not imply a conservativity requirement on our best theories of truth. (shrink)

According to the accepted translation-failure interpretation, the problem of incommensurability involves the nature of the meaning-referential relation between scientific languages. The incommensurability thesis is that some competing scientific languages are mutually untranslatable due to the radical variance of meaning or/and reference of the terms they employ. I argue that this interpretation faces many difficulties and cannot give us a tenable, coherent, and integrated notion of incommensurability. It has to be rejected. ;On the basis of two case studies, I find that (...) the confrontations between many classical incommensurable languages are not confrontations between two untranslatable languages with different distribution of truth values, but rather the confrontations between incompatible fundamental presuppositions at the ontological level. We can always identify a truth-value gap between two incommensurable languages. Such a truth-value gap indicates a communication breakdown between the two language communities on the one hand, and is caused by the incompatible fundamental presuppositions underlying them on the other. ;I thereby identify the truth-value functional relationship between sentences, instead of the meaning-referential relationship between terms, as the dominant semantic relation between two incommensurable languages. According to my presuppositional interpretation of incommensurability, the real secret of incommensurability lies in the ontological setup of two competing presuppositional languages. When two presuppositional languages with incompatible factual commitments encounter with each other, the confrontation leads to a truth-value gap, and consequently a communication breakdown between them. Formally put, two scientific languages are incommensurable when core sentences of one language, which have truth values when considered within its own context, lack truth values when considered within the context of the other due to an ontological gap between them. ;The presuppositional interpretation makes many significant contributions to the discussion of the issue of incommensurability and the related metaphysical and epistemological issues: It confirms the existence of the phenomenon of incommensurability and makes it metaphysically and epistemologically significant. It establishes the tenability and integrity of the notion of incommensurability. It avoids many alleged unattractive epistemological and metaphysical consequences of the translation-failure interpretation. (shrink)

In Truth and Objectivity, Crispin Wright argues that because truth is a distinctively normative property, it cannot be as metaphysically insubstantive as deflationists claim.1 This argument has been taken, together with the scope problem,2 as one of the main motivations for alethic pluralism.3 We offer a reconstruction of Wright’s Inflationary Argument (henceforth IA) aimed at highlighting what are the steps required to establish its inflationary conclusion. We argue that if a certain metaphysical and epistemological view of a given (...) subject matter is accepted, a local counterexample to IA can be constructed. We focus on the domain of basic taste and we develop two variants of a subjectivist and relativist metaphysics and epistemology that seems palatable in that domain. Although we undertake no commitment to this being the right metaphysical cum epistemological package for basic taste, we contend that if the metaphysics and the epistemology of basic taste are understood along these lines, they call for a truth property whose nature is not distinctively normative—contra what IA predicts. This result shows that the success of IA requires certain substantial metaphysical and epistemological principles and that, consequently, a proper assessment of IA cannot avoid taking a stance on the metaphysics and the epistemology of the domain where it is claimed to be successful. Although we conjecture that IA might succeed in other domains, in this paper we don’t take a stand on this issue. We conclude by briefly discussing the significance of this result for the debate on alethic pluralism. (shrink)

Logical reasoning is not only a component of religious faith (cf., for instance, the "Golden rule"), but, in addition, the religious faith itself can be conceived as a logical pragmatic function applied to sentences and their meanings. Pragmatic role of religious faith is shown on the examples of the analogy of seed and spoken word (e.g., Mt 13:3-23) and on the degrees of faith described in the episode about Nicodemus (John 3). Pragmatics adds (different grades of) perseverance to the correctness (...) of reasoning and to the truth-preservation of the consequence relation. Correspondingly, religious faith is described by formally defined model and satisfaction relation, which are applied to and examined on the text of John 3. (shrink)

Henri Bergson (1859-1941) was one of the main exponents of evolutionary thinking in the later nineteenth and early twentieth century. He gave that kind of thinking an unprecedented metaphysical turn. In consequence of his versatility he also encountered the notion of truth-making, which he connected with his ever-present concerns about time and duration. Eager to stress the dimension of radical change and of novelty in the nature of things, he rejected (in one form) what he called “the retrograde (...) movement of the true” while championing it – with undeniable delight in the air of paradox – in a derivative form. In the paper I explain what “the retrograde movement of the true” consists in – in its two forms. (shrink)

Why do our intuitive knowledge ascriptions shift when a subject's practical interests are mentioned? Many efforts to answer this question have focused on empirical linguistic evidence for context sensitivity in knowledge claims, but the empirical psychology of belief formation and attribution also merits attention. The present paper examines a major psychological factor (called ?need-for-closure?) relevant to ascriptions involving practical interests. Need-for-closure plays an important role in determining whether one has a settled belief; it also influences the accuracy of one's cognition. (...) Given these effects, it is a mistake to assume that high- and low-stakes subjects provided with the same initial evidence are perceived to enjoy belief formation that is the same as far as truth-conducive factors are concerned. This mistaken assumption has underpinned contextualist and interest-relative invariantist treatments of cases in which contrasting knowledge ascriptions are elicited by descriptions of subjects with the same initial information and different stakes. The paper argues that intellectualist invariantism can easily accommodate such cases. (shrink)

Some think that logic concerns the “laws of truth”; others that logic concerns the “laws of thought.” This paper presents a way to reconcile both views by building a bridge between truth-maker theory, à la Fine, and normative bilateralism, à la Restall and Ripley. The paper suggests a novel way of understanding consequence in truth-maker theory and shows that this allows us to identify a common structure shared by truth-maker theory and normative bilateralism. We can (...) thus transfer ideas from normative bilateralism to truth-maker theory, such as non-transitive solutions to paradox, and vice versa, such as notions of factual equivalence and containment. (shrink)

Gómez-Torrente’s papers have made important contributions to vindicate Tarski’s model-theoretic account of the logical properties in the face of Etchemendy’s criticisms. However, at some points his vindication depends on interpreting the Tarskian account as purportedly modally deflationary, i.e., as not intended to capture the intuitive modal element in the logical properties, that logical consequence is (epistemic or alethic) necessary truth-preservation. Here it is argued that the views expressed in Tarski’s seminal work do not support this modally deflationary interpretation, (...) even if Tarski himself was sceptical about modalities. (shrink)

Philip Kitcher has argued for a causal correspondence view of truth, as against a deflationary view, on the grounds that the former is better poised than the latter to explain systematically successful patterns of action. Though Kitcher is right to focus on systematically successful action, rather than singular practical successes, he is wrong to conclude that causal correspondence theories are capable of explaining systematic success. Rather, I argue, truth bears no explanatory relation to systematic practical success. Consequently, the (...) causal correspondence view is not in a better position to explain success than the deflationary view; theories of truth are the wrong place to look for explanations of systematic practical success. (shrink)

In Foucault, thought is spatial, and unfolds within the density of becoming, in the void that separates the subject and the object. It is ontologically independent from the authority of the contemplating self, the ‘I’. Thought is a being of its own, and comes from the outside – the world of relationships. The present study poses to itself the following question: if thinking indeed comes from the outside, then under what condition thinking can encounter itself – its colour, texture and (...) topography? That is, under what condition can man encounter himself and the world? Since this problem does not have its origin in Foucault’s work, this work does not arrive at any conclusion merely by analysing and evaluating his work alone. Rather, it aims to explore how Foucault has incorporated Kant and Nietzsche into his thinking, on the one hand, and contextualises him within the Western tradition in general and his responses to contemporaries Deleuze and Derrida, in particular, on the other. Consequently, this study is limited by the sheer weight of its own problematisation. However, the problem of ‘under what condition thought encounters itself?’ is here posed not for the sake of constituting a form of knowledge on it, but rather, it is asked from the point of view of ethics. This, in fact, demands a reordering of the forms of ontology that Foucault has developed at different stages of his career. There are three forms of ontology in Foucault’s work: the first analyses man as the subject of truth; the second takes up man as the subject of power; and the third analyses man as an ethical being. The present study reverses the order and examines his work in its totality from the standpoint of his later writings that deal with the problem of truth and ethics. It tries to connect two problems that pop up at different stages of Foucault’s career. The Order of Things asks the question, “what is man?” and in his later writings Foucault labours on the question, “how should I live my life?” This study tries to relate these two questions, as it unfolds itself. (shrink)

An interesting question is whether deflationism about truth (and falsity) extends to related properties and relations on truthbearers. Lionel Shapiro (2011) answers affirmatively by arguing that a certain deflationism about truth is as plausible as an analogous version of deflationism about logical consequence. I argue that the argument fails on two counts. First, it trivializes to any relation between truthbearers, including substantive ones; in other words, his argument can be used to establish that deflationism about truth (...) is as plausible as deflationism about an arbitrary sentential relation. Second, the alleged analogy between the arguments for deflationism about truth and deflationism about consequence fails. Along the way I consider what implications the failure of the equiplausibility thesis has for deflationism about falsity. (shrink)

The problem of truth in fiction concerns how to tell whether a given proposition is true in a given fiction. Thus far, the nearly universal consensus has been that some propositions are ‘implicitly true’ in some fictions: such propositions are not expressed by any explicit statements in the relevant work, but are nevertheless held to be true in those works on the basis of some other set of criteria. I call this family of views ‘implicitism’. I argue that implicitism (...) faces serious problems, whereas the opposite view is much more plausible than has previously been thought. After mounting a limited defence of explicitism, I explore a difficult problem for the view and discuss some possible responses. (shrink)

One of the most discussed articles in the theory of knowledge is Edmund Gettier’s article “Is Justified True Belief Knowledge?”, published in 1963. In this article Gettier undermined the view that knowledge is justified true belief. I think that Gettier’s analysis has consequences not only for the question what knowledge is but also for our idea of truth. In this paper I argue that an analysis in the sense of Gettier shows that a statement can be both true and (...) not true at the same time. (shrink)

Truth pluralists say that truth-bearers in different “discourses”, “domains”, “domains of discourse”, or “domains of inquiry” are apt to be true in different ways – for instance, that mathematical discourse or ethical discourse is apt to be true in a different way to ordinary descriptive or scientific discourse. Moreover, the notion of a “domain” is often explicitly employed in formulating pluralist theories of truth. Consequently, the notion of a “domain” is attracting increasing attention, both critical and constructive. (...) I argue that this is a red herring. First, I identify the theoretical role for which pluralists appeal to domains, which is to answer what I call the “Individuation Problem”: saying what determines the way in which a particular truth-bearer is apt to be true. Second, I argue that pluralists need not appeal to domains for this purpose. I thus conclude that, despite the usual way of glossing the view, there is no role for the notion of a “domain” to play in the pluralist’s theory of truth. I argue that this defuses the “Problem of Mixed Atomics” and allows the pluralist to sidestep potentially intractable disputes about the nature of domains. (shrink)

Drawing on a passage from Ramsey's Truth and Probability, we formulate a simple, plausible constraint on evaluating the accuracy of credences: the Calibration Test. We show that any additive, continuous accuracy measure that passes the Calibration Test will be strictly proper. Strictly proper accuracy measures are known to support the touchstone results of accuracy-first epistemology, for example vindications of probabilism and conditionalization. We show that our use of Calibration is an improvement on previous such appeals by showing how it (...) answers or sidesteps problems that have been raised for previous work in this area. (shrink)

Substructural logics and their application to logical and semantic paradoxes have been extensively studied, but non-reflexive systems have been somewhat neglected. Here, we aim to fill this lacuna, at least in part, by presenting a non-reflexive logic and theory of naive consequence (and truth). We also investigate the semantics and the proof-theory of the system. Finally, we develop a compositional theory of truth (and consequence) in our non-reflexive framework.

If an argument is valid, it is impossible for its premises to be true, and its conclusion false. But how should we understand these notions of truth and impossibility? Here, I present the answers given by John Buridan (ca. 1300-60), showing (i) how he understands truth in his anti-realist metaphysics, and (ii) how he understands modality in connection with causal powers. In short: if an argument exists and is valid, there does not exist a power capable of making (...) the premises true and, at the same time, making the conclusion false. (shrink)

Classical authors were generally artistic realists. The predominant aesthetic theory was mimesis, which saw the truth of art as its successful representation of reality. High modernists rejected this aesthetic theory as lifeless, seeing the truth of art as its subjective expression. This impasse has serious consequences for both the Church and the public square. Moving forward requires both, first, an appreciation of the strengths and weaknesses of the high modernist critique of classical mimetic theory, and, second, a theory (...) of truth which makes adequate reference to both subject and object. This paper argues that Lonergan offers just such an account of truth, and so cashes out the high modernist rejection of classical mimesis in Lonergan’s terms, thereby creating the opportunity for a synthesis of the two views. (shrink)

Argumentations are at the heart of the deductive and the hypothetico-deductive methods, which are involved in attempts to reduce currently open problems to problems already solved. These two methods span the entire spectrum of problem-oriented reasoning from the simplest and most practical to the most complex and most theoretical, thereby uniting all objective thought whether ancient or contemporary, whether humanistic or scientific, whether normative or descriptive, whether concrete or abstract. Analysis, synthesis, evaluation, and function of argumentations are described. Perennial philosophic (...) problems, epistemic and ontic, related to argumentations are put in perspective. So much of what has been regarded as logic is seen to be involved in the study of argumentations that logic may be usefully defined as the systematic study of argumentations, which is virtually identical to the quest of objective understanding of objectivity. (shrink)

A theory of truth is usually demanded to be consistent, but -consistency is less frequently requested. Recently, Yatabe has argued in favour of -inconsistent first-order theories of truth, minimising their odd consequences. In view of this fact, in this paper, we present five arguments against -inconsistent theories of truth. In order to bring out this point, we will focus on two very well-known -inconsistent theories of truth: the classical theory of symmetric truth FS and the (...) non-classical theory of naïve truth based on ᴌukasiewicz infinitely valued logic: PAᴌT. (shrink)

I begin with an exposition of the two main variants of the Prosentential Theory of Truth (PT), those of Dorothy Grover et al. and Robert Brandom. Three main types of criticisms are then put forward: (1) material criticisms to the effect that (PT) does not adequately explain the linguistic data, (2) an objection to the effect that no variant of (PT) gives a properly unified account of the various occurrences of "true" in English, and, most importantly, (3) a charge (...) that the comparison with proforms is explanatorily idle. The last objection is that, given a complete semantic account of pronouns, proadjectives, antecedents, etc., together with a complete (PT), the essential semantic character of "true" could be deduced, but then, the idleness of the comparison with pronouns would be apparent. It turns out that objections (2) and (3) are related in the following way: the prosentential terminology is held to conceal the lack of unity in (PT), by describing the different data in the same terms ("proform", "antecedent", etc.). But this, I argue, is only a way of truly describing, rather than explaining, the data, these being certain relations of equivalence and consequence between sentences. I consider a language for which (PT) would be not only true, but also explanatory, but note that this language is very different from English. I end by showing that Robert Brandom's case that "is true" is not a predicate fails, and that his motivation for saying so is based on fallacious reasoning (namely, Boghossian's argument against deflationism). (shrink)

The thesis deals with the concept of truth and the paradoxes of truth. Philosophical theories usually consider the concept of truth from a wider perspective. They are concerned with questions such as - Is there any connection between the truth and the world? And, if there is - What is the nature of the connection? Contrary to these theories, this analysis is of a logical nature. It deals with the internal semantic structure of language, the mutual (...) semantic connection of sentences, above all the connection of sentences that speak about the truth of other sentences and sentences whose truth they speak about. Truth paradoxes show that there is a problem in our basic understanding of the language meaning and they are a test for any proposed solution. It is important to make a distinction between the normative and analytical aspect of the solution. The former tries to ensure that paradoxes will not emerge. The latter tries to explain paradoxes. Of course, the practical aspect of the solution is also important. It tries to ensure a good framework for logical foundations of knowledge, for related problems in Artificial Intelligence and for the analysis of the natural language. Tarski’s analysis emphasized the T-scheme as the basic intuitive principle for the concept of truth, but it also showed its inconsistency with the classical logic. Tarski’s solution is to preserve the classical logic and to restrict the scheme: we can talk about the truth of sentences of a language only inside another essentially richer metalanguage. This solution is in harmony with the idea of reflexivity of thinking and it has become very fertile for mathematics and science in general. But it has normative nature | truth paradoxes are avoided in a way that in such frame we cannot even express paradoxical sentences. It is also too restrictive because, for the same reason we cannot express a situation in which there is a circular reference of some sentences to other sentences, no matter how common and harmless such a situation may be. Kripke showed that there is no natural restriction to the T-scheme and we have to accept it. But then we must also accept the riskiness of sentences | the possibility that under some circumstances a sentence does not have the classical truth value but it is undetermined. This leads to languages with three-valued semantics. Kripke did not give any definite model, but he gave a theoretical frame for investigations of various models | each fixed point in each three-valued semantics can be a model for the concept of truth. The solutions also have normative nature | we can express the paradoxical sentences, but we escape a contradiction by declaring them undetermined. Such a solution could become an analytical solution only if we provide the analysis that would show in a substantial way that it is the solution that models the concept of truth. Kripke took some steps in the direction of finding an analytical solution. He preferred the strong Kleene three-valued semantics for which he wrote it was "appropriate" but did not explain why it was appropriate. One reason for such a choice is probably that Kripke finds paradoxical sentences meaningful. This eliminates the weak Kleene three valued semantics which corresponds to the idea that paradoxical sentences are meaningless, and thus indeterminate. Another reason could be that the strong Kleene three valued semantics has the so-called investigative interpretation. According to this interpretation, this semantics corresponds to the classical determination of truth, whereby all sentences that do not have an already determined value are temporarily considered indeterminate. When we determine the truth value of these sentences, then we can also determine the truth value of the sentences that are composed of them. Kripke supplemented this investigative interpretation with an intuition about learning the concept of truth. That intuition deals with how we can teach someone who is a competent user of an initial language (without the predicate of truth T) to use sentences that contain the predicate T. That person knows which sentences of the initial language are true and which are not. We give her the rule to assign the T attribute to the former and deny that attribute to the latter. In that way, some new sentences that contain the predicate of truth, and which were indeterminate until then, become determinate. So the person gets a new set of true and false sentences with which he continues the procedure. This intuition leads directly to the smallest fixed point of strong Kleene semantics as an analytically acceptable model for the logical notion of truth. However, since this process is usually saturated only on some transfinite ordinal, this intuition, by climbing on ordinals, increasingly becomes a metaphor. This thesis is an attempt to give an analytical solution to truth paradoxes. It gives an analysis of why and how some sentences lack the classical truth value. The starting point is basic intuition according to which paradoxical sentences are meaningful (because we understand what they are talking about well, moreover we use it for determining their truth values), but they witness the failure of the classical procedure of determining their truth value in some "extreme" circumstances. Paradoxes emerge because the classical procedure of the truth value determination does not always give a classically supposed (and expected) answer. The analysis shows that such an assumption is an unjustified generalization from common situations to all situations. We can accept the classical procedure of the truth value determination and consequently the internal semantic structure of the language, but we must reject the universality of the exterior assumption of a successful ending of the procedure. The consciousness of this transforms paradoxes to normal situations inherent to the classical procedure. Some sentences, although meaningful, when we evaluate them according to the classical truth conditions, the classical conditions do not assign them a unique value. We can assign to them the third value, \undetermined", as a sign of definitive failure of the classical procedure. An analysis of the propagation of the failure in the structure of sentences gives exactly the strong Kleene three-valued semantics, not as an investigative procedure, as it occurs in Kripke, but as the classical truth determination procedure accompanied by the propagation of its own failure. An analysis of the circularities in the determination of the classical truth value gives the criterion of when the classical procedure succeeds and when it fails, when the sentences will have the classical truth value and when they will not. It turns out that the truth values of sentences thus obtained give exactly the largest intrinsic fixed point of the strong Kleene three-valued semantics. In that way, the argumentation is given for that choice among all fixed points of all monotone three-valued semantics for the model of the logical concept of truth. An immediate mathematical description of the fixed point is given, too. It has also been shown how this language can be semantically completed to the classical language which in many respects appears a natural completion of the process of thinking about the truth values of the sentences of a given language. Thus the final model is a language that has one interpretation and two systems of sentence truth evaluation, primary and final evaluation. The language through the symbol T speaks of its primary truth valuation, which is precisely the largest intrinsic fixed point of the strong Kleene three valued semantics. Its final truth valuation is the semantic completion of the first in such a way that all sentences that are not true in the primary valuation are false in the final valuation. (shrink)

I here respond to Pietro Salis’s objections against my original critique of the Prosentential Theory of Truth. In addition, I clarify some points regarding the relationship between anaphoric relationships and “general semantic notions” like “equivalence”, “consequence”, and “sameness of content”, and make some further points about ’s ability gto explain pragmatic and expressive features of “true”.

In this paprer a class of so called mathematically acceptable (shortly MA) languages is introduced First-order formal languages containing natural numbers and numerals belong to that class. MA languages which are contained in a given fully interpreted MA language augmented by a monadic predicate are constructed. A mathematical theory of truth (shortly MTT) is formulated for some of these languages. MTT makes them fully interpreted MA languages which posses their own truth predicates, yielding consequences to philosophy of mathematics. (...) MTT is shown to conform well with the eight norms presented for theories of truth in the paper 'What Theories of Truth Should be Like (but Cannot be)' by Hannes Leitgeb. MTT is also free from infinite regress, providing a proper framework to study the regress problem. (shrink)

We show how removing faith-based beliefs in current philosophies of classical and constructive mathematics admits formal, evidence-based, definitions of constructive mathematics; of a constructively well-defined logic of a formal mathematical language; and of a constructively well-defined model of such a language. -/- We argue that, from an evidence-based perspective, classical approaches which follow Hilbert's formal definitions of quantification can be labelled `theistic'; whilst constructive approaches based on Brouwer's philosophy of Intuitionism can be labelled `atheistic'. -/- We then adopt what may (...) be labelled a finitary, evidence-based, `agnostic' perspective and argue that Brouwerian atheism is merely a restricted perspective within the finitary agnostic perspective, whilst Hilbertian theism contradicts the finitary agnostic perspective. -/- We then consider the argument that Tarski's classic definitions permit an intelligence---whether human or mechanistic---to admit finitary, evidence-based, definitions of the satisfaction and truth of the atomic formulas of the first-order Peano Arithmetic PA over the domain N of the natural numbers in two, hitherto unsuspected and essentially different, ways. -/- We show that the two definitions correspond to two distinctly different---not necessarily evidence-based but complementary---assignments of satisfaction and truth to the compound formulas of PA over N. -/- We further show that the PA axioms are true over N, and that the PA rules of inference preserve truth over N, under both the complementary interpretations; and conclude some unsuspected constructive consequences of such complementarity for the foundations of mathematics, logic, philosophy, and the physical sciences. -/- . (shrink)

ABSTRACT: This 1974 paper builds on our 1969 paper (Corcoran-Weaver [2]). Here we present three (modal, sentential) logics which may be thought of as partial systematizations of the semantic and deductive properties of a sentence operator which expresses certain kinds of necessity. The logical truths [sc. tautologies] of these three logics coincide with one another and with those of standard formalizations of Lewis's S5. These logics, when regarded as logistic systems (cf. Corcoran [1], p. 154), are seen to be equivalent; (...) but, when regarded as consequence systems (ibid., p. 157), one diverges from the others in a fashion which suggests that two standard measures of semantic complexity may not be as closely linked as previously thought. -/- This 1974 paper uses the linear notation for natural deduction presented in [2]: each two-dimensional deduction is represented by a unique one-dimensional string of characters. Thus obviating need for two-dimensional trees, tableaux, lists, and the like—thereby facilitating electronic communication of natural deductions. The 1969 paper presents a (modal, sentential) logic which may be thought of as a partial systematization of the semantic and deductive properties of a sentence operator which expresses certain kinds of necessity. The logical truths [sc. tautologies] of this logic coincides those of standard formalizations of Lewis’s S4. Among the paper's innovations is its treatment of modal logic in the setting of natural deduction systems--as opposed to axiomatic systems. The author’s apologize for the now obsolete terminology. For example, these papers speak of “a proof of a sentence from a set of premises” where today “a deduction of a sentence from a set of premises” would be preferable. 1. Corcoran, John. 1969. Three Logical Theories, Philosophy of Science 36, 153–77. J P R -/- 2. Corcoran, John and George Weaver. 1969. Logical Consequence in Modal Logic: Natural Deduction in S5 Notre Dame Journal of Formal Logic 10, 370–84. MR0249278 (40 #2524). 3. Weaver, George and John Corcoran. 1974. Logical Consequence in Modal Logic: Some Semantic Systems for S4, Notre Dame Journal of Formal Logic 15, 370–78. MR0351765 (50 #4253). (shrink)

Abstract The present paper examines the role of epistemic virtues in the formation of intellectual identity and its impact on improving our truth-seeking behaviors. A epistemic virtue is a special faculty or trait of a person whose operation makes that person a thinker, believer, learner, scholar, knower, cognizer, perceiver, etc., or causes his intellectual development and perfection, and improves his truth-seeking and knowledge-acquiring behaviours and places him on the path to attain understanding, perception and wisdom. Virtue epistemology is (...) a set of approaches in contemporary epistemology that regards knowledge as "a true belief arising from humans epistemic virtues." Virtue responsibilism and Virtue reliabilism are two important approaches to virtue epistemology that differ together in their attitude to the nature of epistemic virtue. Responsibilisms regards epistemic virtues as an acquired character traits that must be attained through practice and training with plenty of effort from the agent who possesses the will. In contrast, virtue reliabilisms considers epistemic virtues as reliable and innate cognitive faculties, and believes that this natural faculties has been placed in the human being from the very beginning and, if used in the appropriate condition and in a proper environment, is reliably truth-conducive. So virtue epistemology, which is distinguished from belief-based analytical epistemology by focusing on the cognitive character of the agent rather than the belief, regards epistemic virtues as the constructive factor of the epistemic agent and the condition of reaching the truth. From the two approaches of virtue reliabilism and virtue responsibilism, this paper focuses on the second approach and with using of the nine-fold virtues, that Jason Baehr posed, shows how to make epistemically good and thinker human by utilizing these virtues and avoiding the corresponding vices and through this, gained the truth in various epistemic areas. After explaining these virtues and their role in the two mentioned domains based on the virtue epistemology, the significance of this relationship in the view of Mulla Sadra as an example of Islamic philosophy is examined, For the reason that he sees knowledge as the produce of some factors that epistemic virtues is considered part of them. In the view of Sadra, epistemic virtues is the specific attributes and traits of reason faculty that their function causes man to be a very good and strong perciever, and their actual possesion or their gradual acquisition leads to the perfection of the soul and the dignity of human existence. In a new theory of soul-  Ph.D. Student of Islamic Philosophy and Theology, Qom University, Qom, Iran (Responsible author) [email protected]  Associate Professor of Islamic Philosophy and Theology, Qom University, Qom, Iran. [email protected]  Professor of Islamic Philosophy and Theology, Qom University, Qom, Iran. [email protected] 2/ Comparative Theology, Vol: 9, No: 19, Spring & Summer 2018 knowledge, he considers the journey of the soul from the outset as evolutionary journey, and, on the other hand, he considers all human activities directly as an activity of the soul (epistemic agent), which he performs through his own faculties. As a result, the soul is a increasing and evolving being, while at the same time acquiring knowledge is also from its own activities, and therefore the factors that make up the soul are also influential in its products. Now, as knowledge comes from soul exposure to the outside world, the more this soul is refined from pollutions and adorned to virtues, the better reflection from reality will be. Undoubtedly, the desire to engage in the process of truth-seeking and the responsible use of cognitive virtues and skills lead man to a desirable goal (recognition of truth) and forms his true intellectual identity. In the end, the paper suggests that because of the importance of epistemic virtues in the improvement of truth-seeking behaviors, educating and cultivating of these types of virtues should be part of the spoken and written course content of universities and schools, and must be proper critical thinking is institutionalized and strengthened in the spirit of community members. Educational resources contain a wide range of information that can deeply influence our epistemic behaviors and actions. Hence, it is necessary to include praised cognitive skills and epistemic virtues training in them. Teachers play an important role in educating and developing epistemic virtues as part of the formal curriculum content of educational centers, perhaps as part of critical thinking and logic courses. The formal education of epistemic virtues and the creation of opportunities for practicing and exercising them will be a good starting point for institutionalizing and developing admired cognitive skills among members of the community. In a society where individuals in their epistemic processes use their own cognitive virtues and organize their beliefs on their basis, the community itself and the social relations will also be virtuous, because the necessity of such an virtues is that individuals interact with their peers and In these interactions, rule virtue. Observing fairness towards others, intellectual humility, intellectual generosity, courage against miscreant and one who has weak arguments, observance of neutrality and other epistemic virtues, if it is to be found in societies as a habit and praised skill, then that society will be virtuous and its relations will be healthier and with the cultivating of those virtues, Intellectual and moral development will also become easier and more common. Intellectual virtues (or praised cognitive skills) should be taught to the community members, so that they display such characteristics when engaging in social activities, whean expressing opinions, when doing research, and so on. It is important to change our education policies, because the decay of praised cognitive skills leads to devastating consequences for intellectual identity and the truth-seeking and knowledgeacquiring behavior of the community members. (shrink)

Truth pluralism offers the latest extension in the tradition of substantive theorizing about truth. While various forms of this thesis are available, most frameworks commit to domain reliance. According to domain reliance, various ways of being true, such as coherence and correspondence, are tied to discourse domains rather than individual sentences. From this follows that the truth of different types of sentences is accounted for by their domain membership. For example, sentences addressing ethical matters are true if (...) they cohere and those addressing extensional states of affairs if they correspond. By tying distinct truth-grounding properties to domains rather than individual sentences, truth pluralists avoid certain issues with definitional ambiguity and indeterminacy. I argue that contrary to the ideal situation, domains fail to provide the sought-after benefits of achieving definitional unambiguity and determinacy in the standard domain reliant pluralist frameworks. The reason is that, when combined with the inherently ambiguous nature of certain truth-relevant terms of sentences, fringe cases emerge, causing some of them to count as members of multiple domains. Consequently, some sentences end up being both true and false in the standard domain reliant pluralist frameworks, thus conflicting with both standard laws of non-contradiction and identity. Finally, I argue that truth pluralists should pay closer attention to the hitherto neglected question of inherent natural language ambiguity. (shrink)

This special issue collects together nine new essays on logical consequence :the relation obtaining between the premises and the conclusion of a logically valid argument. The present paper is a partial, and opinionated,introduction to the contemporary debate on the topic. We focus on two influential accounts of consequence, the model-theoretic and the proof-theoretic, and on the seeming platitude that valid arguments necessarilypreserve truth. We briefly discuss the main objections these accounts face, as well as Hartry Field’s contention (...) that such objections show consequenceto be a primitive, indefinable notion, and that we must reject the claim that valid arguments necessarily preserve truth. We suggest that the accountsin question have the resources to meet the objections standardly thought to herald their demise and make two main claims: (i) that consequence, as opposed to logical consequence, is the epistemologically significant relation philosophers should be mainly interested in; and (ii) that consequence is a paradoxical notion if truth is. (shrink)

In this paper I present an account of a distinctive form of ‘practical’ or ‘deliberative’ uncertainty that has been central in debates in both ethics and metaethics. Many writers have assumed that such uncertainty concerns a special normative question, such as what we ought to do ‘all things considered.’ I argue against this assumption and instead endorse an alternative view of such uncertainty, which combines elements of both metaethical cognitivism and non-cognitivism. A notable consequence of this view is that (...) even if there are objective and irreducible truths about how we ought to act, all things considered, the ‘central deliberative question,’ as it’s sometimes called, doesn’t concern such truths. Instead, that question doesn’t have a true answer. (shrink)

The aim of this dissertation is to offer and defend a correspondence theory of truth. I begin by critically examining the coherence, pragmatic, simple, redundancy, disquotational, minimal, and prosentential theories of truth. Special attention is paid to several versions of disquotationalism, whose plausibility has led to its fairly constant support since the pioneering work of Alfred Tarski, through that by W. V. Quine, and recently in the work of Paul Horwich. I argue that none of these theories meets (...) the correspondence intuition---that a true sentence or proposition in some way corresponds to reality---despite the explicit claims by each to capture this intuition. I distinguish six versions of the correspondence theory, and defend two against traditional objections, standardly taken as decisive against them, and show, plainly, that these two theories capture the correspondence intuition. Due to the importance of meeting this intuition, only these two theories stands a chance of being a satisfactory theory of truth. I argue that the version of the correspondence theory incorporating a simple semantic representation relation is preferable to its rival, for which the representation relation is complex. I present and argue for a novel version of this correspondence theory according to which truth is a correspondence property sensitive to semantic context. One consequence of this context-sensitivity is that an ungrounded sentence does not express a proposition. In addition to accounting for the similarity between the Liar and Truth-Teller sentences, this theory of truth is immune to the Liar Paradox, including empirical versions. It is argued that the Liar Paradox is devastating to all of the other theories above, and even formal theories of truth designed to solve it, such as the revision and vagueness theories. Customized versions of the Liar Paradox besetting this theory are handled by its context-sensitivity, and by enforcing the distinction between truth and truth value. This same pair of considerations also yields solutions to Lob's Paradox and Grelling's Paradox. Arguments similar to those given to defend this correspondence theory show that with one minor alteration, Kripke's fixed point theory may be used to model this correspondence notion of truth. (shrink)

Abstract. On the Direct Reference thesis, proper names are what I call ‘genuine terms’, terms whose sole semantic contributions to the propositions expressed by their use are the terms’ semantic referents. But unless qualified, this thesis implies the false consequence that sentences containing names that fail to refer can never express true or false propositions. (Consider ‘The ancient Greeks worshipped Zeus’, for instance.) I suggest that while names are typically and fundamentally used as genuine terms, there is a small (...) class of names, which I call ‘descriptive names’, whose reference is fixed by commonly associated definite descriptions, and I also suggest that there is an idiom of natural language on which such names can be used as abbreviated definite descriptions in a limited set of sentential contexts, including (1) positive and negative existentials, (2) cognitive ascriptions, and (3) uses of names to talk about myth. Uses of empty descriptive names in such contexts can then be either true or false. Relying on Gregory Currie’s theory of truth in fiction, I also propose an idiom on which fictional names can be used as short for a certain type of description in talk about fiction. Along the way, I provide arguments that names are used as short for descriptions in substantive existential statements as well as in both metamythic and metafictive contexts. I also discuss and criticize alternative views of these matters, including the views of David Braun, Saul Kripke, Peter van Inwagen, and others. (shrink)

The suggestion of something akin to a ‘relativist solution to the Mind-Body problem’ has recently been held by some scientists and philosophers; either explicitly (Galadí, 2023; Lahav & Neemeh, 2022; Ludwig, 2015) or in more implicit terms (Solms, 2018; Velmans, 2002, 2008). In this paper I provide an argument in favor of a relativist approach to the Mind-Body problem, more specifically, an argument for ‘1st/3rd person relativism’, the claim that ‘The truth value of some sentences or propositions is relative (...) to 1st and 3rd person perspectives’. The argument for 1st/3rd person relativism is close to a forma proof. It is shown that, just by assuming the 1st/3rd person distinction itself and using first order logic and set theory, ‘1st/3rd person relativism’ follows as a theorem. Some consequences of ‘1st/3rd person relativism’ to the Mind-Body Problem are evaluated. It is shown that ‘1st/3rd person relativism’ predicts the existence of an (apparent) Explanatory Gap; explains why the Explanatory Gap is just apparent (and the origins of such illusion); dissolves the Hard-Problem; provides a possible solution the problem of Mental Causation; explains why Mental Causation looks like a problem in the first place and accurately predicts the actual empirically found correlation and covariation between conscious experiences and brain states. This explanatory power of ‘1st/3rd person relativism’ is particularly impressive since it was not designed as a possible solution to the Mind-Body problem in the first place. (shrink)

Demonstrative logic, the study of demonstration as opposed to persuasion, is the subject of Aristotle's two-volume Analytics. Many examples are geometrical. Demonstration produces knowledge (of the truth of propositions). Persuasion merely produces opinion. Aristotle presented a general truth-and-consequence conception of demonstration meant to apply to all demonstrations. According to him, a demonstration, which normally proves a conclusion not previously known to be true, is an extended argumentation beginning with premises known to be truths and containing a chain (...) of reasoning showing by deductively evident steps that its conclusion is a consequence of its premises. In particular, a demonstration is a deduction whose premises are known to be true. Aristotle's general theory of demonstration required a prior general theory of deduction presented in the Prior Analytics. His general immediate-deduction-chaining conception of deduction was meant to apply to all deductions. According to him, any deduction that is not immediately evident is an extended argumentation that involves a chaining of intermediate immediately evident steps that shows its final conclusion to follow logically from its premises. To illustrate his general theory of deduction, he presented an ingeniously simple and mathematically precise special case traditionally known as the categorical syllogistic. (shrink)

Intuitionism’s disagreement with classical logic is standardly based on its specific understanding of truth. But different intuitionists have actually explicated the notion of truth in fundamentally different ways. These are considered systematically and separately, and evaluated critically. It is argued that each account faces difficult problems. They all either have implausible consequences or are viciously circular.

Knowledge is correct and reliable when its foundation is correct, but humans never have the correct beliefs and methodology. Thus, knowledge is unreliable and the foundation of knowledge needs to be reconstructed. A pure rationalist only believes in logic. Thus, all matter and experience must be propositions derived from logic. The logically necessary consequence of this belief is truth; logically possible consequences are phenomena, and logically impossible consequence are fallacies and evils. This paper introduces belief and its (...) logical consequences, such as discovering first knowledge, both logically and illogically, establishing logical methodology, deducing truths purely through logic, and discovering unprovable truths by imitating the Universe. Logic and illogic are undeniable beliefs, and the reality of the Universe is the ultimate cause of everything. (shrink)