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Do incompatibilist arguments, like some fatalist arguments, rest onmodal fallacies? If Westphal (2012) is right, then one popular argument for incompatibilism van Inwagen’s “First Formal Argument” does rest on amodalfallacy. Similarly, Warfield (2000) claims that the standardmodal formulation of the master argument for incompatibilism is amodalfallacy. Here, I refute both claims. Contra Westphal, I show that the mistake in van Inwagen’s "First Formal Argument" is nomodal (...) class='Hi'>fallacy. After that, I argue that Warfield’s charge ofmodalfallacy can be easily avoided by using a plausible principle concerning actuality. Then, I show that this allows one to put forward a fairly simple argument for fatalism (the thesis that we aren’t able to do otherwise from what we actually do). (shrink)

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In his great poem, Parmenides uses an argument by elimination to select the correct "way of inquiry" from a pool of two, the ways of is and of is not , joined later by a third, "mixed" way of is and is not . Parmenides' first two ways are soon givenmodal upgrades - is becomes cannot not be , and is not becomes necessarily is not (B2, 3-6) - and these are no longer contradictories of one another. And (...) is the common view right, that Parmenides rejects the "mixed" way because it is a contradiction? I argue that themodal upgrades are the product of an illicitmodal shift. This same shift, built into two Exclusion Arguments, gives Parmenides a novel argument to show that the "mixed" way fails. Given the independent failure of the way of is not , Parmenides' argument by elimination is complete. (shrink)

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1. Anderson and Belnap's most explicit characterization of thefallacy of modality is as follows: "Modal fallacies arise when it is claimed that entailments follow from, or are entailed by, contingent propositions." The view which Nelson attributes to Anderson and Belnap, on the other hand, is "that necessary propositions are entailed only by necessary ones, never by contingent ones." Anderson and Belnap speak of "entailments," whereas Nelson generalizes to "necessary propostitions." The move is far from innocent, as we (...) shall see. For though Anderson and Belnap hold that every true entailment is a necessary proposition, not every necessary proposition is an entailment. In order to grasp the implications of this distinction more clearly, let us see how Anderson and Belnap's statement of themodalfallacy might legitimately be restated in terms of necessity. To that end we must draw a related distinction between necessary propositions and necessity propositions. A expresses a necessary proposition iff A → A → A holds. A expresses a necessity proposition iff A is of the form B → C. The particular form of these definitions is dependent on the fact that entailment rather than necessity is primitive in Anderson and Belnap's system; the forms in parentheses are the equivalents in terms of necessity. Now it follows from these definitions that every entailment is a necessity proposition and that every necessity proposition is an entailment. Themodalfallacy may thus be equivalently characterized as the claim that a necessity proposition is entailed by a contingent proposition. That this is different from Nelson's formulation is clear from the following considerations. First, not every necessary proposition is a necessity proposition; example: "Either it is raining or it is not raining." Second, not every necessity proposition is a necessary proposition; example: any false necessity proposition. Thus the possibility is left open that some necessary proposition might be entailed by a contingent one. This is exactly the case with Nelson's example 2, "That every polychromatic surface is red entails that every polychromatic surface is colored." This might well be a theorem in a suitable extension of E. Such cases do not, however, arise among the theorems of EI. In that limited system, all that a contingent proposition can entail is itself. (shrink)

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Note: the technical vocabulary used in this article is explained in a glossary that I prepared for my introductory logic course in 1997.

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I critically examine the claim thatmodal collapse arguments against the traditional doctrine of divine simplicity (DDS) are in general fallacious. In a recent paper, Christopher Tomaszewski alleges thatmodal collapse arguments against DDS are invalid, owing to illicit substitutions of nonrigid singular terms into intensional contexts. I show that this is not, in general, the case. I show, further, that where existingmodal collapse arguments are vulnerable to this charge the arguments can be repaired without any (...) apparent dialectical impropriety. I conclude that the genuine debate overmodal collapse and divine simplicity andmodal collapse is substantially a controversy over the metaphysics of divine action, and that this constitutes a fruitful direction in which to take future discussions of the subject. (shrink)

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The argument given by Peter van Inwagen for the second premise on his "First Formal Argument" in An Essay on Free Will is invalid. The second premise hinges on the principle that since a proposition p , some statement about the present, is actually true, ~p can't be true. ~p must be false. What is the reason? The principle is that ~p cannot be true at the same time as p . I argue that, among other things, in its attachment (...) to this sort of principle, van Inwagen's argument commits the most familiar of all themodal scope fallacies. (shrink)

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This is a book about the concept of a physical thing and about how the names of things relate to the things they name. It questions the prevalent view that names 'refer to' or 'denote' the things they name. Instead it presents a new theory of proper names, according to which names express certain special properties that the things they name exhibit. This theory leads to some important conclusions about whether things have any of their properties as a matter of (...) necessity. This will be an important book for philosophers in metaphysics and the philosophy of language, though it will also interest linguists concerned with the semantics of natural language. (shrink)

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This study in fundamental ontology calls for rethinking some pedestrian assumptions about what there is and provides the motivation for a new theory of reference. It contains clear, crisp discussions of mereology, identity, reference, and necessity and should be valuable to metaphysicians and philosophers of language.

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In John Etchemendy's book, The Concept of Logical Consequence, several arguments are put forth against the standard model‐theoretic account of logical consequence and logical truth. I argue in this article that crucial parts of Etchemendy's attack depend on a failure to distinguish two senses of logic and two correlative senses of being something a logical question. According to one of these senses, the logic of a language, L, is the set of logical truths of L. In the other sense, logic (...) is a theoretical discipline whose aim is to characterize logical properties and it can be identified with the set of sentences on what, and why, the extension of the set of logical truths of a particular language is. Some particular claims by Etchemendy about the status assigned to the axiom of infinity in the model‐theoretic account are criticized and shown to be erroneous because of that conflation. (shrink)

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According to Etchemendy, in attempting to offer an analysis of themodal features of the intuitive concept of logical consequence, Tarski has committed amodalfallacy. In this paper, I consider the thesis according to it is posible to analyze the modals properties of concept of logical consequence through of a generalization on set-theoretical interpretations. As is known, some philosophers have tried to argue for the transit from the general to themodal by showing that there (...) are enough settheoretic interpretations so as to be able to represent themodal features of the intuitive concept of consequence. As is also known, those people have encountered a lot of difficulties. In the present paper, I will try to show that those problems are related not with the specific possibility of accounting for themodal features by means of a set-theoretic notion of model but with the possibility of coming up with a precise mathematical theory for the concept of interpretation, and, as such, they can be solved by way of appealing to the usual solutions to this problem. (shrink)

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Three fallacies in the rationality debate obscure the possibility for reconciling the opposed camps. I focus on how these fallacies arise in the view that subjects interpret their task differently from the experimenters (owing to the influence of conversational expectations). The themes are: first, critical assessment must start from subjects' understanding; second, amodalfallacy; and third, fallacies of distribution.

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In this paper I will attempt a unified analysis of the various examples of thefallacy of accident given by Aristotle in the Sophistical Refutations. In many cases the examples underdetermine thefallacy and it is not trivial to identify thefallacy committed. To make this identification we have to find some error common to all the examples and to show that this error would still be committed even if those other fallacies that the examples exemplify were (...) not. Aristotle says that there is only one solution “against the argument” as opposed to “against the man”, and it is this solution the paper attempts to find. It is a characteristic mark of my analysis that some arguments that we might normally be inclined to say are fallacious turn out to be valid and that some arguments that we would normally be inclined to say are valid turn out to be fallacious. This is (in part) because what we call validity in modern logic is not the same as the apodicticity that Aristotelian syllogisms require in order to be used in science. The fallacies of accident, uniquely among the fallacies, are failures of apodicticity rather than failures of, in particular, semantic entailment. This makes sense in a tensed and token-based logic such as Aristotle’s. I conclude that the closest analogue to thefallacy of accident that we can point to is afallacy inmodal logic, viz., thefallacy of necessity. (shrink)

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Michael Jubien’s Ontology, Modality, and theFallacy of Reference is an interesting and lively discussion of those three topics. In ontology, Jubien defends, to a first approximation, a Quinean conception: a world of objects that may be arbitrarily sliced or summed. Slicing yields temporal parts; summing yields aggregates, or fusions. Jubien is very unQuinean in his explicit Platonism regarding properties and propositions, but concerns about abstracta are peripheral to much of the argumentation in the book.1 His version of the (...) doctrine that arbitrary mereological sums exist is nonstandard in that he views it as a convention (albeit a useful one) that we treat sums of objects as themselves being objects. Indeed, he views the concept of objecthood itself as being conventional. The world consists fundamentally of stuff, which we divide into things in any way that suits our purposes. In modality, Jubien’s views are to a first approximation Chisholmian: he holds the doctrine of mereological essentialism, according to which anything.. (shrink)

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We introduce an expected-value theory of linguistic modality that makes reference to expected utility and a likelihood-based confirmation measure for deontics and epistemics, respectively. The account is a probabilistic semantics for deontics and epistemics, yet it proposes that deontics and epistemics share a common coremodal semantics, as in traditional possible-worlds analysis of modality. We argue that this account is not only theoretically advantageous, but also has far-reaching empirical consequences. In particular, we predictmodal versions of reasoning fallacies (...) from the heuristics and biases literature. Additionally, we derive themodal semantics in an entirely transparent manner, as it is based on the compositional semantics of Koreanmodal expressions that are morphosyntactically decomposed into a conditional and an evaluative predicate. (shrink)

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One of the most pressing objections against Divine simplicity is that it entails what is commonly termed a ‘modal collapse’, wherein all contingency is eliminated and every true proposition is rendered necessarily true. In this paper, I show that a common form of this argument is in fact famously invalid and examine three ways in which the opponent of Divine simplicity might try to repair the argument. I conclude that there is no clear way of repairing the argument that (...) does not beg the question against the doctrine of Divine simplicity. (shrink)

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The so-called New Theory of Reference (Marcus, Kripke etc.) is inspired by the insight that inmodal and intensional contexts quantifiers presuppose nondescriptive unanalyzable identity criteria which do not reduce to any descriptive conditions. From this valid insight the New Theorists fallaciously move to the idea that free singular terms can exhibit a built-in direct reference and that there is even a special class of singular terms (proper names) necessarily exhibiting direct reference. This fallacious move has been encouraged by (...) a mistaken belief in the substitutional interpretation of quantifiers, by the myth of thede re reference, and a mistaken assimilation of direct reference to ostensive (perspectival) identification. Thede dicto vs.de re contrast does not involve direct reference, being merely a matter of rule-ordering (scope).The New Theorists' thesis of the necessity of identities of directly referred-to individuals is a consequence of an unmotivated and arbitrary restriction they tacitly impose on the identification of individuals. (shrink)

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This paper attacks themodal ontological argument, as advocated by Plantinga among others. Whereas other criticisms in the literature reject one of its premises, the present line is that the argument is invalid. This becomes apparent once we run the argument assuming fictionalism about possible worlds. Broadly speaking, the problem is that if one defines “x” as something that exists, it does not follow that there is anything satisfying the definition. Yet unlike non-modal ontological arguments, themodal (...) argument commits this “existentialfallacy” not in relation to the definition of ‘God’. Rather, it occurs in relation to themodal facts quantified over within a Kripkeanmodal logic. In brief, we can describe themodal facts by whichever logic we prefer—yet it does not follow that there are genuinemodal facts, as opposed to mere facts-according-to-the-fiction. A broader consequence of the discussion is that the existentialfallacy is an issue for many projects in “armchair metaphysics.”. (shrink)

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Paradoxes of nested modality, like Chisholm’s paradox, rely on S4 or something stronger as the propositional logic of metaphysical modality. Sarah-Jane Leslie’s objection to the resolution of Chisholm’s paradox by means of rejection of S4modal logic is investigated. Amodal notion of essence congenial to Leslie’s objection is clarified. An argument is presented in support of Leslie’s crucial but unsupported assertion that, on pain of inconsistency, an object’s essence is the same in every possible world. A (...) class='Hi'>fallacy in the argument is exposed. Alternative interpretations of Leslie’s objection are provided and are found to involve equivocation between different notions of “essence.” A material artifact’smodal essence, as distinct from its quiddity essence, could have been different than it is. (shrink)

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The question, "Whichmodal logic is the right one for logical necessity?," divides into two questions, one about model-theoretic validity, the other about proof-theoretic demonstrability. The arguments of Halldén and others that the right validity argument is S5, and the right demonstrability logic includes S4, are reviewed, and certain common objections are argued to be fallacious. A new argument, based on work of Supecki and Bryll, is presented for the claim that the right demonstrability logic must be contained in (...) S5, and a more speculative argument for the claim that it does not include S4.2 is also presented. (shrink)

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Most critics of Richard Swinburne’smodal argument for mind-body substance dualism have alleged that the argument is unsound, either because its premises are false or because it commits amodalfallacy. I show that the argument is epistemically circular, and thus provides no support for its conclusion even if it is sound.

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Recently it has become almost the received wisdom in certain quarters that Kripke models are appropriate only for something like metaphysical modalities, and not for logical modalities. Here the line of thought leading to Kripke models, and reasons why they are no less appropriate for logical than for other modalities, are explained. It is also indicated where thefallacy in the argument leading to the contrary conclusion lies. The lessons learned are then applied to the question of the status (...) of the formula. (shrink)

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Social media is known to be one of the finest achievements of the 21st century. However, it is no surprise that there are two sides to every coin. While there are a lot of advantages of social media in our day-to-day life it is difficult to ignore its negative consequences. As the interactions between people have increased so have the standards and expectations of people and undoubtedly, so has the mental distress that people constantly face. Multiple researches conducted on the (...) negative impacts of social media indicate towards the downside of social media, especially it's negative footprint on people's identities, social life, mental health and emotional well-being. Although there are various modalities that have been used to identify and solve the problems that people experience with social media, there are other modalities of counseling that have the potential to be effective and helpful but have not been explored in this regard. One such modality is Logic-Based Therapy. Logic-Based Therapy and Consultation is a philosophy-based practice that aims to help identify the different emotional and behavioral ways in which people upset themselves by their own faulty thinking. LBT identifies a number of fallacies or incorrect reasonings that people use very frequently in their lives and also suggests ways in which individuals can learn to cope with these fallacies. A lot of the fallacies identified by LBT can be seen in practice through social media. This paper aims at providing an insight into the reality of social media and online presence while highlighting the most common fallacies that people commit in emotional and behavioral reasoning as identified by LBT. The paper will also explore how and why people often commit these fallacies and suggest some antidotes to combat these fallacies. (shrink)

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The consequence argument for the incompatibility of free action and determinism has long been under attack, but two important objections have only recently emerged: Warfield’smodalfallacy objection and Campbell’s no past objection. In this paper, I explain the significance of these objections and defend the consequence argument against them. First, I present a novel formulation of the argument that withstands their force. Next, I argue for the one controversial claim on which this formulation relies: the trans-temporality thesis. (...) This thesis implies that an agent acts freely only if there is one time at which she is able to perform an action and a distinct time at which she actually performs it. I then point out that determinism, too, is a thesis about trans-temporal relations. I conclude that it is precisely because my formulation of the consequence argument emphasizes trans-temporality that it prevails against themodalfallacy and no past objections. (shrink)

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In his presidential address to the APA, Alvin Plantinga argues that the only sensible way to be an anti-realist is to be a theist. Anti-realism (AR) in this context is the epistemic analysis of truth that says, "(AR) necessarily, a statement is true if and only if it would be believed by an ideally [or sufficiently] rational agent/community in ideal [or sufficiently good] epistemic circumstances." Plantinga demonstrates, with modestmodal resources, that AR entails that necessarily, ideal epistemic circumstances obtain. (...) As it is a contingent matter whether ideal epistemic circumstances obtain, Plantinga concludes that an anti-realist should be a theist. In this paper, we show that counterfactual analyses of truth as epistemic are instances of a more general problem of philosophical analysis. More specifically, without a radical revision of the logic, counterfactual analyses of truth as epistemic cannot avoid perpetrating some version of the conditionalfallacy. Even so, we argue, anti-realists are not committed to the necessary existence of ideal epistemic circumstances and therefore need not be theists. (shrink)

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The reasoning abilities of large language models (LLMs) are the topic of a growing body of research in AI and cognitive science. In this paper, we probe the extent to which twenty-nine LLMs are able to distinguish logically correct inferences from logically fallacious ones. We focus on inference patterns involving conditionals (e.g., 'If Ann has a queen, then Bob has a jack') and epistemic modals (e.g., 'Ann might have an ace', 'Bob must have a king'). These inferences have been of (...) special interest to logicians, philosophers, and linguists, since they play a central role in the fundamental human ability to reason about distal possibilities. Assessing LLMs on these inferences is thus highly relevant to the question of how much the reasoning abilities of LLMs match those of humans. All the LLMs we tested make some basic mistakes with conditionals or modals, though zero-shot chain-of-thought prompting helps them make fewer mistakes. Even the best performing LLMs make basic errors inmodal reasoning, display logically inconsistent judgments across inference patterns involving epistemic modals and conditionals, and give answers about complex conditional inferences that do not match reported human judgments. These results highlight gaps in basic logical reasoning in today's LLMs. (shrink)

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The purpose of this paper is to examine some passages of Tarski‘s paper ’On the concept of logical consequence’ and to show that some recent readings of those passages are wrong. John Etchemendy has claimed that in those passages Tarski gave an argument purporting to show that the notion of logical consequence defined by him (as opposed to some pretheoretic notion of logical consequence) possesses certainmodal properties. Etchemendy further claims that the argument he attributes to Tarski is fallacious. (...) Some of Etchemendy’s critics have granted him that Tarski did give an argument purporting to show that the defined notion possesses certainmodal properties ; but they have claimed that Tarski’s argument was not a fallacious one. I will show that both Etchemendy and his critics are wrong; in the relevant passages, Tarski did not offer (nor did he intend to offer) an argument that the defined notion of logical consequence possesses anymodal properties. (shrink)

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In a recent article (Inquiry, Vol. 19 [1976]), J. W. Meiland addresses the issue of psychologism in logic, which holds that logic is a branch of psychology and that logical laws (such as the Principle of Non?Contradiction) are contingent upon the nature of the mind. Meiland examines Husserl's critique of psychologism, argues that Husserl is not convincing, and offers two new objections to the psychologistic thesis. In this paper I attempt to rebut those objections. In question are the acceptable criteria (...) for determining the possibility or impossibility of systems of logic significantly different from our own. I argue that a criteriological application of our accepted laws of logic to this question commits a circularfallacy. I then argue that, even if we accept logical consistency as a criterion for possibility, a plausible argument for the possibility of valid alternative logics can be constructed by using the functionalist analogy between minds and automata. Finally, I attempt to rebut the claim that in logic the only changes possible are conceptual changes that would not permit a proposition to be both true and false. (shrink)

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Motivated by semantic inferentialism and logical expressivism proposed by Robert Brandom, in this paper, I submit a nonmonotonicmodal relevant sequent calculus equipped with special operators, □ and R. The base level of this calculus consists of two different types of atomic axioms: material and relevant. The material base contains, along with all the flat atomic sequents (e.g., Γ0, p |~0 p), some non-flat, defeasible atomic sequents (e.g., Γ0, p |~0 q); whereas the relevant base consists of the local (...) region of such a material base that is sensitive to relevance. The rules of the calculus uniquely and conservatively extend these two types of nonmonotonic bases into logically complex material/relevant consequence relations and incoherence properties, while preserving Containment in the material base and Reflexivity in the relevant base. The material extension is supra-intuitionistic, whereas the relevant extension is stronger than a logic slightly weaker than R. The relevant extension also avoids the fallacies of relevance. Although the extended material consequence relation is defeasible and insensitive to relevance, it has local regions of indefeasibility and relevance (the latter of which is marked by the relevant extension). The newly introduced operators, □ and R, codify these local regions within the same extended material consequence relation. (shrink)

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This article systematically challenges Kripke'smodal argument and Soames's defence of this argument by arguing that, just like descriptions, names can take narrow or wide scopes over modalities, and that there is a big difference between the wide scope reading and the narrow scope reading of amodal sentence with a name. Its final conclusions are that all of Kripke's and Soames's arguments are untenable due to some fallacies or mistakes; names are not “rigid designators”; if there were (...) rigid designators, description(s) could be rigidified to refer fixedly to objects; so names cannot be distinguished in this way from the corresponding descriptions. A descriptivist account of names is still correct; and there is no justification for Kripke's theory of rigid designation and its consequences. (shrink)

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In a 1990 paper, George Hughes axiomatized the logic determined by the class of all frames in which each point has a reflexive successor, and raised various questions along the way, one of which is answered incorrectly here by means of an interestingly fallacious argument.

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Suppose it were known, by someone else, what you are going to choose to do tomorrow. Wouldn't that entail that tomorrow you must do what it was known in advance that you would do? In spite of your deliberating and planning, in the end, all is futile: you must choose exactly as it was earlier known that you would. The supposed exercise of your free will is ultimately an illusion. Historically, the tension between foreknowledge and the exercise of free will (...) was addressed in a religious context. According to orthodox views in the West, God was claimed to be omniscient (and hence in possession of perfect foreknowledge) and yet God was supposed to have given humankind free will. Attempts to solve the apparent contradiction often involved attributing to God special properties, e.g. being 'outside' of time. However, the trouble with such solutions is that they are generally unsatisfactory on their own terms. Even more serious is the fact that they leave untouched the problem posed not by God's foreknowledge but that of any human being. Do human beings have foreknowledge? Certainly, of at least some events and behaviors. Thus we have a secular counterpart of the original problem. A human being's foreknowledge, exactly as would God's, of another's choices would seem to preclude the exercise of human free will. Various ways of trying to solve the problem – e.g. by putting constraints on the truth-conditions for statements, or by 'tightening' the conditions necessary for knowledge – are examined and shown not to work. Ultimately the alleged incompatibility of foreknowledge and free will is shown to rest on a subtle logical error. When the error, amodalfallacy, is recognized, and remedied, the problem evaporates. (shrink)

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Modal ontological arguments are often claimed to be immune to the flqqperfect islandfrqq objection of Gaunilo, because necessary existence does not apply to material, contingent things. But Gaunilo’s strategy can be reformulated: we can speak of non-contingent beings, like quasi-Gods or evil God. The paper is intended to show that we can construct ontological arguments for the existence of such beings, and that those arguments are equally plausible as theisticmodal argument. This result does not show that this (...) argument is fallacious, but it shows that it is dialectically ineffective as an argument for theism. (shrink)

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The aim of this paper is to discuss Kripkc?s reasons for declaring the existence of both necessary a posteriori as well as contingent a priori statements, thus breaking the traditional extensional coincidence of the two pairs of concepts:necessary?contingent and a priori?a posteriori. As I shall argue, there is no reason, from Kripke?s work at least, to reject the usual picture of the topic The appeal ot his arguments rests on the ambiguity with which his expressions are used and on the (...) introduction o\ new senses for old notions. This does not mean, however, that all Knpke?s and Putnam?s intuitions on singular terms and natural kind nouns are wrong. Once Kripke?s ideas are properly uudeistood, they are much moreharmless then they are presented to be and they do not pose a threat to traditional relations relations betweenmodal and epistemological categories. (shrink)

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By “the”modalfallacy one commonly means the following argument pattern.

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The presented paper takes up the attempt to analyse and specify the suspicion that somemodal rules of inference are paralogical in application to non-logical reasonings (s.c.modalfallacy). The considerations have been limited tomodal prepositional calculi: K and S5, which are intended to be a formal base of these non-logical reasonings - proofs of so called specific thesis on the grounds of the particular specific theories. Pointing out the properties of being permitted, being valid (...) and being derivable in case of inferences rules and also semantical relations of point, structure, frame and inferential consequence in standard semantics of possible worlds, enables to define two kinds of paralogism: point and structural. Justification of the suspicion ofmodalfallacy occurrence in the case of a given inference rule, depends on pointed metalogical properties of this rule and also on what kind of the notion of paralogism is being discussed. It appears that when a given rule is paralogical only pointly (and not structurally), the sufficient condition of avoidingmodalfallacy is to consider the specific axioms of the given specific theory as the sentences which are structurally true (structural truth is of course not equivalent to logical truth). If we want to treat these axioms as sentences which are pointly true, we have to eliminate pointly paralogical rules. In this case it is enough to construct such axiomatisation of calculi K and S5, in which we use the notion ofmodal closure (it eliminates the primitive rule of Goedel and all rules derivable from it - rules which are structurally but not pointly correct). (shrink)

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Bernard Williams's essay ‘Wittgenstein and Idealism’ argues that that the conventionality of language entails the dependence of the truth of sentences and ultimately of corresponding states of affairs as truth‐makers on the existence of thinking subjects. Peter Winch and Colin Lyas try to avoid William's paradox by distinguishing between the existence conditions of a sentence and its assertion. The Winch‐Lyas solution is criticized and a stronger Winch‐Lays resistant version of Williams's paradox is proposed. A more satisfactory countercriticism is given, involving (...) an ineliminablemodalfallacy occurring in the paradox inference, that arises because of the argument's invalid combination of categorical and counterfactual assumptions and conclusions. (shrink)

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In his classic 1936 essay "On the Concept of Logical Consequence", Alfred Tarski used the notion of satisfaction to give a semantic characterization of the logical properties. Tarski is generally credited with introducing the model-theoretic characterization of the logical properties familiar to us today. However, in his book, The Concept of Logical Consequence, Etchemendy argues that Tarski's account is inadequate for quite a number of reasons, and is actually incompatible with the standard model-theoretic account. Many of his criticisms are meant (...) to apply to the model-theoretic account as well. In this paper, I discuss the following four critical charges that Etchemendy makes against Tarski and his account of the logical properties: (1) (a) Tarski's account of logical consequence diverges from the standard model-theoretic account at points where the latter account gets it right. (b) Tarski's account cannot be brought into line with the model-theoretic account, because the two are fundamentally incompatible. (2) There are simple counterexamples (enumerated by Etchemendy) which show that Tarski's account is wrong. (3) Tarski committed amodalfallacy when arguing that his account captures our pre-theoretical concept of logical consequence, and so obscured an essential weakness of the account. (4) Tarski's account depends on there being a distinction between the "logical terms" and the "non-logical terms" of a language, but (according to Etchemendy) there are very simple (even first-order) languages for which no such distinction can be made. Etchemendy's critique raises historical and philosophical questions about important foundational work. However, Etchemendy is mistaken about each of these central criticisms. In the course of justifying that claim, I give a sustained explication and defense of Tarski's account. Moreover, since I will argue that Tarski's account and the model theoretic account really do come to the same thing, my subsequent defense of Tarski's account against Etchemendy's other attacks doubles as a defense against criticisms that would apply equally to the familiar model-theoretic account of the logical properties. (shrink)

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The traditional debate between compatibilists and incompatibilists was based on the assumption that if determinism deprives us of free will and moral responsibility, it does so by making it true that we can never do other than what we actually do. All parties to the debate took for granted the truth of a claim now widely known as "the principle of alternate possibilities": someone is morally responsible only if he could have done otherwise. In a famous paper, Harry Frankfurt argued (...) that the principle of alternate possibilities is false. I argue that Frankfurt's argument rests on amodalfallacy. (shrink)

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This chapter focuses on armchair inquiry. Thought experiment has the feel of clairvoyance, thus eliciting awe in some and suspicion in others. But the wonder of thought experiment is just a special case of our vague puzzlement about how a question could be answered by merely thinking. There is no mystery when investigators look, measure, and manipulate. Their answers come from the news borne by observation and experiment. But if you just ponder, then the information you have leaving the armchair (...) is the same as the information you had when you sat down. It is argued that part of our wonder is based on amodalfallacy. The theories of armchair inquiry that promise answers to the legitimate portion of our wonder are surveyed. Finally, a cleansing model of rationality that sets the stage for a detailed analysis of how thought experiments work is developed. (shrink)

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I begin by briefly mentioning two different logical fatalistic argument types: one from temporal necessity, and one from antecedent truth value. It is commonly thought that the latter of these involves a simplemodalfallacy and is easily refuted, and that the former poses the real threat to an open future. I question the conventional wisdom regarding these argument types, and present an analysis of temporal necessity that suggests the anti-fatalist might be better off shifting her argumentative strategy. (...) Specifically, two points of interest emerge from my analysis: first, temporal necessity turns out to be an inappropriate and ineffective tool for the fatalist to make use of; and, second, the dismissal of the argument from antecedent truth value turns out to be an over-hasty one. (shrink)

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In her recent book, Russell (2023) examines various so-called “barriers to entailment,” including Hume’s law, roughly the thesis that an ‘ought’ cannot be derived from an ‘is.’ Hume’s law bears an obvious resemblance to the proscription on fallacies of modality in relevance logic, which has traditionally formally been captured by the so-called Ackermann property. In the context of relevantmodal logic, this property might be articulated thus: no conditional whose antecedent is box-free and whose consequent is box-prefixed is valid (...) (for the connection, interpret box deontically). While the deontic significance of Ackermann-like properties has been observed before, Russell’s new book suggests a more broad-scoped formal investigation of the relationship between barrier theses of various kinds and corresponding Ackermann-like properties. In this paper, I undertake such an investigation by elaborating a general relevant bimodal logical framework in which several of the barriers Russell examines can be given formal expression. I then consider various Ackermann-like properties corresponding to these barriers and prove that certain systems satisfy them. Finally, I respond to some objections Russell makes against the use of relevance logic to formulate Hume’s law and related barriers. (shrink)

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David Furley's work on the cosmologies of classical antiquity is structured around what he calls "two pictures of the world." The first picture, defended by both Plato and Aristotle, portrays the universe, or all that there is (to pan), as identical with our particular ordered world-system. Thus, the adherents of this view claim that the universe is finite and unique. The second system, defended by Leucippus and Democritus, portrays an infinite universe within which our particular kosmos is only one of (...) countless kosmoi. Aristotle's argument in De caelo I.9 that the world is necessarily unique is an important contribution to this debate. This argument holds interest because it shows Aristotle wrestling with an apparent inconsistency in his own philosophy, as deeply-held convictions within his cosmology collide with an equally deeply-held conviction within his metaphysics. The following three principles, each of which Aristotle appears committed to, are inconsistent: -/- The cosmic uniqueness principle. The world is necessarily unique. The cosmic form principle. The world is an ordered, structured unity. As such, the world has a form. The possibility of multiple instantiation principle. For all F, if F is a form, it is possible that there exist multiple Fs. In De caelo I.9, Aristotle argues that we can establish the uniqueness of the universe, reject the multiple instantiation principle, yet still retain the distinction between 'this world' and 'world in general,' if the following is true (as it is): the world takes up all the matter that exists. Aristotle illustrates this argument with one of the stranger analogies in his corpus: imagine an aquiline nose that takes up all the flesh in the universe. If this were so, then there could not exist any other aquiline objects whatsoever. (For this reason, we dub the De caelo I.9 argument the 'Cosmic Nose argument.') This paper is an interpretation of how this argument is supposed to proceed and an assessment of its success. The first section states the problem Aristotle is confronted with, sorts through Aristotle's various statements of the Cosmic Nose argument, which exhibit some sloppiness, and reconstructs charitably a single argument. We also spend some time examining the significance of Aristotle's example of a gigantic aquiline nose. We argue that, even charitably reconstructed, the argument appears to commit a seriousmodalfallacy. The remainder of the paper explores whether thismodalfallacy can be overcome. We conclude that, although not a cogent argument for the uniqueness of the world (as this would require a significant revision of our current astronomy), the Cosmic Nose argument does succeed on its own terms. However, it should not be regarded as a free-standing argument for the uniqueness of the world. Instead, it depends crucially on the earlier argument in De caelo I.8 for the universe's uniqueness; De caelo I.9 should be viewed as an attempt to extend the conclusion of De caelo I.8 and to show how this conclusion can be made consistent with Aristotle's metaphysical principles about the nature of form. (shrink)

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In the book “Freedom of the Will”, Jonathan Edwards put forward a strong ar-gument for theological fatalism. This argument, I suppose, can be considered as the universal basis for discussion between Fatalists and Anti-Fatalists in the 20th century, especially in the context of the most powerful argument for fatalism, introduced by Nelson Pike. The argument of Edwards rests upon the following principles: if something has been the case in the past, it has been the case necessarily ; if God knows (...) something, it is not the case that ~A is possible. Hence, Edwards infers that if God had foreknowledge that A, then A is necessary, and it is not the case that someone could voluntarily choose ~A. The article argues that the Edwards` inference Kgp → □p rests upon themodalfallacy; the inference „God had a knowledge that p will happen, therefore „God had a knowledge that p will happen” is the proposition about the past, and hence, the necessarily true proposition“ is ambiguous; thus, it is not the case that this proposition necessarily entails the impossibility of ~p; it is not the case that p, being known by God, turns out to be necessary. Thus, we can avoid the inference of Edwards that if Kgp is a fact of the past, then we cannot freely choose ~p. It has also been shown that the main provisions of the argument of Edwards remain significant in the context of contemporary debates about free will and foreknowledge. Additionally, I introduce a new challenge for fatalism – argument from Brouwerian axiom. (shrink)

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This paper follows Part I of our essay on case-intensional first-order logic (CIFOL; Belnap and Müller (2013)). We introduce a framework of branching histories to take account of indeterminism. Our system BH-CIFOL adds structure to the cases, which in Part I formed just a set: a case in BH-CIFOL is a moment/history pair, specifying both an element of a partial ordering of moments and one of the total courses of events (extending all the way into the future) that that moment (...) is part of. This framework allows us to define the familiar Ockhamist temporal/modal connectives, most notably for past, future, and settledness. The novelty of our framework becomes visible in our discussion of substances in branching histories, i.e., in its first-order part. That discussion shows how the basic idea of tracing an individual thing from case to case via an absolute property is applicable in a branching histories framework. We stress the importance of keeping apart extensionality and moment-definiteness, and give a formal account of how the specification of natural sortals and natural qualities turns out to be a coordination task in BH-CIFOL. We also provide a detailed answer to Lewis’s well-known argument against branching histories, exposing thefallacy in that argument. (shrink)

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