We report on an exploratory study of the way eight mid-level undergraduate mathematics majors read and reflected on four student-generated arguments purported to be proofs of a single theorem. The results suggest that mid-level undergraduates tend to focus on surface features of such arguments and that their ability to determine whether arguments are proofs is very limited -- perhaps more so than either they or their instructors recognize. We begin by discussing arguments (purported proofs) regarded as (...) texts and validations of those arguments, i.e., reflections of individuals checking whether such arguments really are proofs of theorems. We relate the way the mathematics research community views proofs and their validations to ideas from reading comprehension and literary theory. We then give a detailed analysis of the four student-generated arguments and finally analyze the eight students' validations of them. (shrink)

Havstad (2022) argues that the argument from inductive risk for the claim that non-epistemic values have a legitimate role to play in the internal stages of science is deductively valid. She also defends its premises and thus soundness. This is, as far as we are aware, the best reconstruction of the argument from inductive risk in the existing literature. However, there is a small flaw in this reconstruction of the argument from inductive risk which appears to render the argument invalid. (...) This flaw is superficial, and a small amendment to it rescues the claim of validity. (shrink)

This article argues for the formal validity of and the truth of the premises and conclusion of a version of Aquinas' "Third Way" that says: If each of the parts of nature is contingent, the whole of nature is contingent. Each of the parts of nature is contingent. Therefore, the whole of nature is contingent--where "contingent" means having a cause and not existing self-sufficiently.

Abstract: Four main forms of Doomsday Argument (DA) exist—Gott’s DA, Carter’s DA, Grace’s DA and Universal DA. All four forms use different probabilistic logic to predict that the end of the human civilization will happen unexpectedly soon based on our early location in human history. There are hundreds of publications about the validity of the Doomsday argument. Most of the attempts to disprove the Doomsday Argument have some weak points. As a result, we are uncertain about the validity (...) of DA proofs and rebuttals. In this article, a meta-DA is introduced, which uses the idea of logical uncertainty over the DA’s validity estimated based on a virtual prediction market of the opinions of different scientists. The result is around 0.4 for the validity of some form of DA, and even smaller for “Strong DA”, which predicts the end of the world in the near term. We discuss many examples of the validity of the DA in real life as an instrument to prove it “experimentally”. We also show that DA becomes strongest if it is based on the idea of the “natural reference class” of observers, that is, the observers who know about the DA (i.e. a Self-Referenced DA). Such a DA predicts that there is a high probability of a global catastrophe with human extinction in the 21st century, which aligns with what we already know based on analysis of different technological risks. (shrink)

The standard definition of “argument” is satisfied by any series of statements in which one (of the statements) is marked as the conclusion of the others. This leads to the counter-intuitive result that “I like cookies, therefore, all swans are white” is an argument, since “therefore” marks “all swans are white” as the conclusion of “I like cookies”. This objection is often disregarded by stating that, although the previous sequence is an argument, it fails to be a good one. However, (...) when we compare our previous argument with a definitely bad argument like “this swan is white, therefore, all swans are white”, we see that there is an important difference between them. Whereas the former fails to fulfil our intuition of what an argument is, the latter does qualify as an argument, but as a bad one. In this talk, I will sketch a definition that better captures this feature of our intuition of what an argument is in three steps. Following Díez and Moulines (1999), I first reduce inductive validity to deductive validity through what we may call the method of deductivisation. Second, through epistemic predicates (cf. Thompson 2002), I introduce a broader concept of validity that accounts not only for deductive and inductive validity, but also for a weaker type of validity that may be called pseudo-validity. I show that these pseudo-valid arguments can also be deductivised with the help of the above-mentioned epistemic predicates. Finally, I re-define the concept of argument as any series of statements that is at least pseudo-valid, which leaves the “cookies argument” outside of this definition. (shrink)

In recent literature, panpsychism has been defended by appeal to two main arguments: first, an argument from philosophy of mind, according to which panpsychism is the only view which successfully integrates consciousness into the physical world (Strawson 2006; Chalmers 2013); second, an argument from categorical properties, according to which panpsychism offers the only positive account of the categorical or intrinsic nature of physical reality (Seager 2006; Adams 2007; Alter and Nagasawa 2012). Historically, however, panpsychism has also been defended by (...) appeal to a third argument based on considerations about the nature and observability of causation. This argument has not been much discussed in recent times. Here is a concise version from William James: "… the concrete perceptual flux, taken just as it comes, offers in our own activity-situations perfectly comprehensible instances of causal agency … If we took these experiences as the type of what actual causation is, we should have to ascribe to cases of causation outside of our life, to physical cases also, an inwardly experiential nature. In other words, we should have to espouse a so-called “pan-psychic” philosophy" (James 1911: 218). James here suggests that we have direct experience of causation in our own agency. He thereby directly contradicts David Hume, who famously denied that we have any experience of causation. James goes on to claim that if this experience is representative of causation in general, it follows that all causation is mental, and that panpsychism is true. This kind of argument for panpsychism can be called the argument from (experience of) causation. This chapter offers, first, a history of this argument and arguments closely related to it, and second, an analysis of the argument – is it valid, are its premises in any way defensible, and how does it relate to the other, more popular arguments for panpsychism from philosophy of mind and categorical properties? (shrink)

This paper explores an idea of Stoic descent that is largely neglected nowadays, the idea that an argument is valid when the conditional formed by the conjunction of its premises as antecedent and its conclusion as consequent is true. As it will be argued, once some basic features of our naıve understanding of validity are properly spelled out, and a suitable account of conditionals is adopted, the equivalence between valid arguments and true conditionals makes perfect sense. The account (...) of validity outlined here, which displays one coherent way to articulate the Stoic intuition, accords with standard formal treatments of deductive validity and encompasses an independently grounded characterization of inductive validity. (shrink)

One of the premises of the argument from design is the need for the order of a designer. This premise has been explained in various ways, one of which is the calculus of probabilities. It posits that the likelihood of an ordered thing coming into existence by chance is so low that human beings consider it nearly impossible; therefore, this order requires an intelligent designer. However, some contemporary Muslim philosophers, such as Ayatollah Jawādī Āmulī, along with certain Western philosophers, have (...) contested the validity of the calculus of probabilities. They argue that the calculus of probabilities does not reveal reality but is merely practically useful. They assert that undesigned states have the same probability as designed states. In this article, I address these objections, refute them, and ultimately demonstrate the soundness of the argument from design based on the calculus of probabilities. (shrink)

According to a standard story, part of what we have in mind when we say that an argument is valid is that it is necessarily truth preserving: if the premises are true, the conclusion must also be true. But—the story continues—that’s not enough, since ‘Roses are red, therefore roses are coloured’ for example, while it may be necessarily truth-preserving, is not so in virtue of form. Thus we arrive at a standard contemporary characterisation of validity: an argument is valid (...) when it is NTP in virtue of form. Here I argue that we can and should drop the N; the resulting account is simpler, less problematic, and performs just as well with examples. (shrink)

Arguments from human dignity feature prominently in the Lethal Autonomous Weapons moral feasibility debate, even though their exists considerable controversy over their role and soundness and the notion of dignity remains under-defined. Drawing on the work of Dieter Birnbacher, I fix the sub-discourse as referring to the essential value of human persons in general, and to postulated moral rights of combatants not covered within the existing paradigm of the International Humanitarian Law in particular. I then review and critique dignity-based (...) arguments against LAWS: argument from faulty targeting process, argument from objectification, argument from underappreciation of the value of human life and the argument from the absence of mercy. I conclude that the argument from the absence of mercy is the only dignity-based argument that is both valid and irreducible to another class of arguments within the debate, and that it offers insufficient justification for a global ban on LAWS. (shrink)

Searle proposes an argument in order to prove the existence of universals and thereby solve the problem of universals: From every meaningful general term P(x) follows a tautology Vx[P(x) v -P(x)], which entails the existence of the corresponding universal P. To be convincing, this argument for existence must be valid, it must presume true premises and it must be free of any informal fallacy. First, the validity of the argument for existence in its non-modal interpretation will be proven with (...) the help of the formal deductive system F. Secondly, it will be shown that a self-contradictory tautology concept is employed, which renders the premises meaningless. Consequently, the inconsistency will be emended through redefinition and the argument's ensuing correctness will be demonstrated. Finally, it will be shown that the argument for existence presupposes the existence of universals in its premise and hence begs the question. (shrink)

The aim of the paper is to develop general criteria of argumentative validity and adequacy for probabilistic arguments on the basis of the epistemological approach to argumentation. In this approach, as in most other approaches to argumentation, proabilistic arguments have been neglected somewhat. Nonetheless, criteria for several special types of probabilistic arguments have been developed, in particular by Richard Feldman and Christoph Lumer. In the first part (sects. 2-5) the epistemological basis of probabilistic arguments is (...) discussed. With regard to the philosophical interpretation of probabilities a new subjectivist, epistemic interpretation is proposed, which identifies probabilities with tendencies of evidence (sect. 2). After drawing the conclusions of this interpretation with respect to the syntactic features of the probability concept, e.g. one variable referring to the data base (sect. 3), the justification of basic probabilities (priors) by judgements of relative frequency (sect. 4) and the justification of derivative probabilities by means of the probability calculus are explained (sect. 5). The core of the paper is the definition of '(argumentatively) valid derivative probabilistic arguments', which provides exact conditions for epistemically good probabilistic arguments, together with conditions for the adequate use of such arguments for the aim of rationally convincing an addressee (sect. 6). Finally, some measures for improving the applicability of probabilistic reasoning are proposed (sect. 7). (shrink)

In this article, I examined the various ethical problems raise to morally discount homosexuality. I found that so far no moral argument proved adequate ground to discount homoeroticism. However, I have developed the ‘Two-Way Test’ (TWT) by which the social acceptability of any sexual relation should be tested for moral validity. From the analysis, homosexuality was found to have failed the test. That is to say, homosexuality is not a morally valid act. Despite that, the immoral status of homosexuality (...) did not constitute sufficient ground for its criminalization, because not all immoral acts are criminalized but only those that impede the right or liberty of others. In conclusion, the paper submitted that although homosexuality had failed the TWT it does not call for violence, criminalization and discrimination against persons of homosexual orientation but that homosexuals should be accommodated without deliberately discouraging heterosexual relationship. My advocacy for sexual tolerance is based on the grounds that ongoing biological research has so far shown the phenomenon as biological reality beyond the personal control of most homosexuals. (shrink)

What accounts for how we know that certain rules of reasoning, such as reasoning by Modus Ponens, are valid? If our knowledge of validity must be based on some reasoning, then we seem to be committed to the legitimacy of rule-circular arguments for validity. This paper raises a new difficulty for the rule-circular account of our knowledge of validity. The source of the problem is that, contrary to traditional wisdom, a universal generalization cannot be inferred just (...) on the basis of reasoning about an arbitrary object. I argue in favor of a more sophisticated constraint on reasoning by universal generalization, one which undermines a rule-circular account of our knowledge of validity. (shrink)

Formalizations in first-order logic are standardly used to represent logical forms of sentences and to show the validity of ordinary-language arguments. Since every sentence admits of a variety of formalizations, a challenge arises: why should one valid formalization suffice to show validity even if there are other, invalid, formalizations? This paper suggests an explanation with reference to criteria of adequacy which ensure that formalizations are related in a hierarchy of more or less specific formalizations. This proposal is (...) then compared with stronger criteria and assumptions, especially the idea that sentences essentially have just one logical form. (shrink)

There is an ever-growing literature on what exactly the condition or criterion is that enables some (but not all) debunking arguments to undermine our beliefs. In this paper, I develop a novel schema for debunking argumentation, arguing that debunking arguments generally have a simple and valid form, but that whether or not they are sound depends on the particular aetiological explanation which the debunker provides in order to motivate acceptance of the individual premises. The schema has three unique (...) features: (1) it satisfies important desiderata for what any acceptable account of debunking would have to look like; (2) it is consistent with the inductively supported claim that there is no special debunking principle; and (3) it coheres with the plausible claim that what makes debunking arguments unique is that they rely on so-called genealogies for the justification of their premises. (shrink)

Tarski's Undefinability of Truth Theorem comes in two versions: that no consistent theory which interprets Robinson's Arithmetic (Q) can prove all instances of the T-Scheme and hence define truth; and that no such theory, if sound, can even express truth. In this note, I prove corresponding limitative results for validity. While Peano Arithmetic already has the resources to define a predicate expressing logical validity, as Jeff Ketland has recently pointed out (2012, Validity as a primitive. Analysis 72: (...) 421-30), no theory which interprets Q closed under the standard structural rules can define nor express validity, on pain of triviality. The results put pressure on the widespread view that there is an asymmetry between truth and validity, viz. that while the former cannot be defined within the language, the latter can. I argue that Vann McGee's and Hartry Field's arguments for the asymmetry view are problematic. (shrink)

Abstract Introduction Logically valid deductive arguments are clear examples of abstract recursive computational proce‐ dures on propositions or on probabilities. However, it is not known if the cortical time‐consuming inferential pro‐ cesses in which logical arguments are eventually realized in the brain are in fact physically different from other kinds of inferential processes. Methods In order to determine whether an electrical EEG discernible pattern of logical deduction exists or not, a new experimental paradigm is proposed contrasting logically valid (...) and invalid inferences with exactly the same content (same premises and same relational variables) and distinct logical complexity (propositional truth‐functional operators). Electroencephalographic signals from 19 subjects (24.2 ± 3.3 years) were acquired in a two‐condition para‐ digm (100 trials for each condition). After the initial general analysis, a trial‐by‐trial approach in beta‐2 band allowed to uncover not only evoked but also phase asynchronous activity between trials. Results showed that (i) deductive inferences with the same content evoked the same response pattern in logically valid and invalid conditions, (ii) mean response time in logically valid inferences is 61.54% higher, (iii) logically valid inferences are subjected to an early (400 ms) and a late reprocessing (600 ms) verified by two distinct beta‐2 activa‐ tions (p‐value < 0,01, Wilcoxon signed rank test). Conclusion We found evidence of a subtle but measurable electrical trait of logical validity. Results put forward the hypothesis that some logically valid deductions are recursive or computational cortical events. Keywords Beta‐2 band, Evoked potentials, Induced potentials, Deductive inference, Logical validity, Cortical bases of logical reasoning. (shrink)

John Stuart Mill advocated for increased interactions between individuals of dissenting opinions for the reason that it would improve society. Whether Mill and similar arguments that advocate for opinion diversity are valid depends on background assumptions about the psychology and sociality of individuals. The field of opinion dynamics is a burgeoning testing ground for how different combinations of sociological and psychological facts contribute to phenomena that affect opinion diversity, such as polarization. This paper applies some recent results from the (...) opinion dynamics literature to assess the impacts of the Millian suggestion. The goal is to understand how the scope of the validity of Mill-style arguments depends on plausible assumptions that can be formalized using agent-based models, a common modeling approach in opinion dynamics. The most salient insight is that homophily (increased interactions between like-minded individuals) does not sufficiently explain decreased opinion diversity. Hence, decreasing homophily by increasing interactions between individuals of dissenting opinions is not the simple solution that a Millian-style argument may advocate. (shrink)

McTaggart has an insight that changes of property rely on changes of tense (McTaggart 1908). As I show in this paper, he fails to define A-series as a series for changes of tense, and therefore his proof for the unreality of time is unsuccessful. A-series found in the proof is reduced to a number of mere indexicals of time, and this reduction is pushed forward in Dummett's defense. My aim in this paper is not only to check the validity (...) of their arguments but to investigate invincible difficulties faced in defining changes of tense. The latter is my main aim, and the former is a preliminary argument for it. (shrink)

Some philosophers argue that a theory of logical validity should not interpret its own language, because a Russellian argument shows that self-applicability is inconsistent with the ability to capture all the interpretations of its own language. First, I set up a formal system to examine the Russellian argument. I then defend the need for self-applicability. I argue that self-applicability seems to be implied by generality, and that the Russellian argument rests on a test for meaning that is biased against (...) self-applicability. I propose an alternative test which is unproblematic for self-applicability. I conclude that self-applicability can be vindicated and the Russellian argument can be resisted. (shrink)

This paper offers a defence of metaphysical naturalism, in the context of the Fine Tuning argument. Theistic objections to the Multiverse (MV) hypothesis are considered, specifically the claim that the MV hypothesis commits the Inverse Gambler’s Fallacy (IGF) and, as per the This Universe Objection (TUO), that it violates the Requirement of Total Evidence. It is argued that the IGF claim moved the goalposts when it comes to assessing the validity of the MV hypothesis. The Cosmic Slot Machine analogy (...) will be used to demonstrate how the This Universe Objection (TUO), fails to adequately account for the anthropic principle (or selection effect) and how the MV hyptothesis does satisfy the Requirement for Total Evidence. -/- With respect to the Naturalistic Single Universe (NSU), the implications of the ex-nihilonihil- fit principle, for evaluating the epistemic probability of a Life Permitting Universe (LPU)under the NSU hypothesis, are considered. It is argued that the ex nihilo nihil fit principle entails that an LPU is not improbable under the NSU hypothesis. (shrink)

In the first of the Insolubles in Chapter 8 of his Sophismata, Buridan contends that the inference Omnis propositio est affirmativa; ergo, nulla propositio est negativa (PS) is valid, even though it appeals to the self-reference in the conclusion to show that what we (following Read 2001) call the classical conception of validity (CCV) fails. This requires that we accept that there are good inferences in which a false conclusion follows from true premises. Partially following Hughes’ proposal (1982), we (...) argue that the First Sophism (PS) involves three different notions of validity. Two of them correspond to the ones described by Hughes (1982, 80–86), who calls them Theory A and Theory B. The third one—that will we call Theory C—is not mentioned by Hughes; instead, it is suggested by Buridan himself in the first three arguments in favor of the validity of PS. We show that: a) from what Buridan says in his Theory C it follows that PS is a formal and material consequence, and hence, a valid one. Then we show that: b) the rejection of CCV and the acceptance of Nulla propositio est negativa (NPN) as a (formal) consequence of Omnis propositio est affirmativa (OPA) leads to a paradox that bears similarities with the one put forward by Pseudo Scotus—which has been studied by Read (2001) and is related to Curry’s paradox. However, there are enough differences to merit considering this paradox separately, especially in relation to the so-called validity paradoxes. Interestingly, our work suggests that Buridan was aware of these problems, which explains why he introduced a new criterion for validity, one that is not based on truth-preservation but on what Spade (1988) calls firmness, and Klima (2016) correspondence. (shrink)

There is an old worry, which dates back to Mill but has analogs even in Sextus, that the very definition of ‘validity’ implies that all valid arguments are circular. This paper investigates how contemporary formal tools can ellucidate that old worry. Its main finding is the existence of a genuine puzzle: a difficult-to-avoid correspondence between the definitions of ‘valid argument’ and ‘premise circular argument’.

In his well-known essay on Wittgenstein, Saul Kripke maintains that dispositional analyses of meaning cannot work mainly because the concept of disposition is descriptive, whereas that of meaning is normative. Unfortunately, neither Kripke nor his followers have ever spelled out this “argument from normativity” in full detail. As a result, the argument does not have good press. This paper offers an explicit version of the argument. In particular, (1) I try to explain what the claim that meaning is normative amounts (...) to, (2) I try to clarify what supports it, and (3) I sketch a valid version of the argument. (shrink)

The Pyrrhonist’s argumentative practice is characterized by at least four features. First, he makes a therapeutic use of arguments: he employs arguments that differ in their persuasiveness in order to cure his dogmatic patients of the distinct degrees of conceit and rashness that afflict them. Secondly, his arguments are for the most part dialectical: when offering an argument to oppose it to another argument advanced by a given dogmatist, he accepts in propria persona neither the truth of (...) its premises and conclusion nor the validity of its logical form. Thirdly, he avails himself of arguments in his own open-minded inquiry into the truth about a wide range of topics. Fourthly, Pyrrhonian argumentation is oppositional inasmuch as it typically works by producing oppositions among arguments that appear to the Pyrrhonist to be equipollent. In this article, I focus on the first three features with the aim of both shedding some light on them and determining whether they are in tension or coherently relate to each other. (shrink)

Leibniz often refers to the Principle of Sufficient Reason (PSR) as something like a first principle. In some texts, however, he attempts to give positive arguments in its favor. I examine two such arguments, and find them wanting. The first argument has two defects. First, it is question-begging; and second, when the question-begging step is excised, the principle one can in fact derive is highly counter-intuitive. The second argument is valid, but has the defect of only reaching a (...) nearly trivial conclusion. (shrink)

The argument from illusion attempts to establish the bold claim that we are never perceptually aware of ordinary material objects. The argument has rightly received a great deal critical of scrutiny. But here we develop a criticism that, to our knowledge, has not hitherto been explored. We consider the canonical form of the argument as it is captured in contemporary expositions. There are two stages to our criticism. First, we show that the argument is invalid. Second, we identify premises that (...) can be used to make the argument valid. But we argue that the obvious fixes are problematic. If our arguments are successful, we show that the argument from illusion is even more difficult to defend than is commonly acknowledged. (shrink)

Famous examples of conceivability arguments include (i) Descartes’ argument for mind-body dualism, (ii) Kripke's ‘modal argument’ against psychophysical identity theory, (iii) Chalmers’ ‘zombie argument’ against materialism, and (iv) modal versions of the ontological argument for theism. In this paper, we show that for any such conceivability argument, C, there is a corresponding ‘mirror argument’, M. M is deductively valid and has a conclusion that contradicts C's conclusion. Hence, a proponent of C—henceforth, a ‘conceivabilist’—can be warranted in holding that C's (...) premises are conjointly true only if she can find fault with one of M's premises. But M's premises are modelled on a pair of C's premises. The same reasoning that supports the latter supports the former. For this reason, a conceivabilist can repudiate M's premises only on pain of severely undermining C's premises. We conclude on this basis that all conceivability arguments, including each of (i)–(iv), are fallacious. (shrink)

What makes a valid argument valid? Generally speaking, in a valid argument, if the premisses are true, then the conclusion must necessarily also be true. But on its own, this doesn’t tell us all that much. What is truth? And what is necessity? In what follows, I consider answers to these questions proposed by the fourteenth century logician John Buridan († ca. 1358). My central claim is that Buridan’s logic is downstream from his metaphysics. Accordingly, I treat his metaphysical discussions (...) as the key to his logic. As has been often noted, Buridan’s metaphysics are radically anti-realist about universals, though I think the depth and scope of his anti-realism has at times been papered over. Buridan constructs his logic on an amazingly spartan ontology, and this accomplishment is overdue for reconsideration. To the foregoing questions: truth is a feature of propositions, and of propositions only—not of proposition-like states of affairs, or anything like that. It is a function of the reference or supposition (suppositio) of their terms, which depends on predication in a propositional context. And necessary truth is grounded in causation: a predication is necessary if it cannot be falsified by any power, natural or supernatural, without ii annihilating what its terms stand for. “Socrates is a human”, for instance, can only be falsified by annihilating Socrates, and so it is a necessary truth. -/- These considerations provide an ample theoretical basis for a thorough examination of Buridan’s modal logic. This is what the thesis culminates with. In the final chapter, I set forth some novel and surprising findings, chief of which is this: Buridan’s modal syntax and semantics are nothing like Kripke’s—and indeed are incompatible with them. This has significant implications not only for modal logic and metaphysics, but for how we think about medieval logic and philosophy more generally. -/- Throughout the thesis, I advocate a methodology of emphasising the differences, rather than the similarities, between past and present thought. Buridan is wildly unlike what we’re used to, and we should let him speak for himself. (shrink)

I defend my ‘one-act’ interpretation of Kant’s account of judgments of beauty against recent criticisms by Paul Guyer. Guyer’s text-based arguments for his own ‘two-acts’ view rely on the assumption that a claim to the universal validity of one’s pleasure presupposes the prior existence of the pleasure. I argue that pleasure in the beautiful claims its own universal validity, thus obviating the need to distinguish two independent acts of judging. The resulting view, I argue, is closer to (...) the text and more phenomenologically plausible than Guyer’s two-acts alternative. (shrink)

This paper analyses a hitherto unknown technique of using logic diagrams to create argument maps in eristic dialectics. The method was invented in the 1810s and -20s by Arthur Schopenhauer, who is considered the originator of modern eristic. This technique of Schopenhauer could be interesting for several branches of research in the field of argumentation: Firstly, for the field of argument mapping, since here a hitherto unknown diagrammatic technique is shown in order to visualise possible situations of arguments in (...) a dialogical controversy. Secondly, the art of controversy or eristic, since the diagrams do not analyse the truth of judgements and the validity of inferences, but the persuasiveness of arguments in a dialogue. (shrink)

This paper deals with the question whether some morally normative content is grounded in the dialogical practice that both Apel and Habermas call argumentative discourse, and if so how to demonstrate that it is so grounded. Apel (unlike Habermas) claims that discourse has rationally necessary conceptual presuppositions; that morally normative content is part of such presuppositions; and that this can be ascertained in transcendendal reflection, i.e. by a kind of transcendental argument. I argue that these claims can be charitably interpreted (...) but require clarifications of their key concepts, i.e. “discourse”, “validity claims”, “performative self-contradiction”, and “community of communication”. I argue that discourse as a practice of reason-sensitive agents who are communicatively connected via argumentation can be explained by its normatively constitutive aim, namely fixing the true values of our reasons; that the primary level of validity claims are claims concerning good reasons; that performative self-contradictions are pragmatic-cum-logical inconsistencies that we can know apriori to be incompatible with discourse’s constitutive aim; and finally, that competent discourse participants can know apriori that they would be performatively inconsistent if they flouted a moral kernel that is intrinsic in discourse. (shrink)

There is a tension between the definition of empty logic as a logic with no valid arguments and no valid meta-arguments, on the one hand, and the way in which we have usually interpreted the validity of meta-arguments, on the other. Here we argue that one way to eliminate the tension is understanding the “If. . . then. . . ” in a meta-argument, at least in the case of an empty logic, as a transplication (aka (...) the de Finetti conditional) instead of an extensional or material conditional. (shrink)

In the article of Bueno titled “Davidson and Skepticism: How Not to Respond to the Skeptic,” he intends to demonstrate that although Davidson’s theory of Coherence holds many attractions, it does not entail a response to any kinds of skepticism including Global, Lottery, and Pyrrhonian. In this study, the goal is to criticize the work of Prof. Bueno in connection with two criticisms raised by him over Davidson’s anti-skeptical strategy. Further, by giving some reasons in favor of Davidson’s anti-skepticism argument, (...) it will be shown that neither the above stated criticisms nor the global skepticism response could undermine the validity of anti-skepticism argument. (shrink)

In this paper, the authors show that there is a reading of St. Anselm's ontological argument in Proslogium II that is logically valid (the premises entail the conclusion). This reading takes Anselm's use of the definite description "that than which nothing greater can be conceived" seriously. Consider a first-order language and logic in which definite descriptions are genuine terms, and in which the quantified sentence "there is an x such that..." does not imply "x exists". Then, using an ordinary logic (...) of descriptions and a connected greater-than relation, God's existence logically follows from the claims: (a) there is a conceivable thing than which nothing greater is conceivable, and (b) if <em>x</em> doesn't exist, something greater than x can be conceived. To deny the conclusion, one must deny one of the premises. However, the argument involves no modal inferences and, interestingly, Descartes' ontological argument can be derived from it. (shrink)

For over 30 years I have argued that we need to construe science as accepting a metaphysical proposition concerning the comprehensibility of the universe. In a recent paper, Fred Muller criticizes this argument, and its implication that Bas van Fraassen’s constructive empiricism is untenable. In the present paper I argue that Muller’s criticisms are not valid. The issue is of some importance, for my argument that science accepts a metaphysical proposition is the first step in a broader argument intended to (...) demonstrate that we need to bring about a revolution in science, and ultimately in academic inquiry as a whole so that the basic aim becomes wisdom and not just knowledge. (shrink)

I explore, from a proof-theoretic perspective, the hierarchy of classical and paraconsistent logics introduced by Barrio, Pailos and Szmuc in (Journal o f Philosophical Logic,49, 93-120, 2021). First, I provide sequent rules and axioms for all the logics in the hierarchy, for all inferential levels, and establish soundness and completeness results. Second, I show how to extend those systems with a corresponding hierarchy of validity predicates, each one of which is meant to capture “validity” at a different inferential (...) level. Then, I point out two potential philosophical implications of these results. (i) Since the logics in the hierarchy differ from one another on the rules, I argue that each such logic maintains its own distinct identity (contrary to arguments like the one given by Dicher and Paoli in 2019). (ii) Each validity predicate need not capture “validity” at more than one metainferential level. Hence, there are reasons to deny the thesis (put forward in Barrio, E., Rosenblatt, L. & Tajer, D. (Synthese, 2016)) that the validity predicate introduced in by Beall and Murzi in (Journal o f Philosophy,110(3), 143–165, 2013) has to express facts not only about what follows from what, but also about the metarules, etc. (shrink)

Jonathan Y. Tsou examines and defends positions on central issues in philosophy of psychiatry. The positions defended assume a naturalistic and realist perspective and are framed against skeptical perspectives on biological psychiatry. Issues addressed include the reality of mental disorders; mechanistic and disease explanations of abnormal behavior; definitions of mental disorder; natural and artificial kinds in psychiatry; biological essentialism and the projectability of psychiatric categories; looping effects and the stability of mental disorders; psychiatric classification; and the validity of the (...) DSM's diagnostic categories. The main argument defended by Tsou is that genuine mental disorders are biological kinds with harmful effects. This argument opposes the dogma that mental disorders are necessarily diseases that result from biological dysfunction. Tsou contends that the broader ideal of biological kinds offers a more promising and empirically ascertainable naturalistic standard for assessing the reality of mental disorders and the validity of psychiatric categories. (shrink)

Computers may help us to better understand (not just verify) arguments. In this article we defend this claim by showcasing the application of a new, computer-assisted interpretive method to an exemplary natural-language ar- gument with strong ties to metaphysics and religion: E. J. Lowe’s modern variant of St. Anselm’s ontological argument for the existence of God. Our new method, which we call computational hermeneutics, has been particularly conceived for use in interactive-automated proof assistants. It aims at shedding light on (...) the meanings of words and sentences by framing their inferential role in a given argument. By employing automated theorem reasoning technology within interactive proof assistants, we are able to drastically reduce (by several orders of magnitude) the time needed to test the logical validity of an argu- ment’s formalization. As a result, a new approach to logical analysis, inspired by Donald Davidson’s account of radical interpretation, has been enabled. In computational hermeneutics, the utilization of automated reasoning tools ef- fectively boosts our capacity to expose the assumptions we indirectly commit ourselves to every time we engage in rational argumentation and it fosters the explicitation and revision of our concepts and commitments. (shrink)

Why is space 3-dimensional? The fi rst answer to this question, entirely based on Physics, was given by Ehrenfest, in 1917, who showed that the stability requirement for n-dimensional two-body planetary system very strongly constrains space dimensionality, favouring 3-d. This kind of approach will be generically called "stability postulate" throughout this paper and was shown by Tangherlini, in 1963, to be still valid in the framework of general relativity as well as for quantum mechanical hydrogen atom, giving the same constraint (...) for space{dimensionality. In the present work, before criticizing this methodology, a brief discussion has been introduced, aimed at stressing and clarifying some general physical aspects of the problem of how to determine the number of space dimensions. Then, the epistemological consequences of Ehrenfest's methodology are critically reviewed. An alternative procedure to get at the proper number of dimensions, in which the stability postulate - and the implicit singularities in three-dimensional physics - are not an essential part of the argument, is proposed. In this way, the main epistemological problems contained in Ehrenfest's original idea are avoided. The alternative methodology proposed in this paper is realized by obtaining and discussing the n-dimensional quantum theory as expressed in Planck's law, de Broglie relation and the Heisenberg uncertainty relation. As a consequence, it is possible to propose an experiment, based on thermal neutron di raction by crystals, to directly measure space dimensionality. Finally the distinguished role of Maxwell's electromagnetic theory in the determination of space dimensionality is stressed. (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)

Both the traditional Aristotelian and modern symbolic approaches to logic have seen logic in terms of discrete symbol processing. Yet there are several kinds of argument whose validity depends on some topological notion of continuous variation, which is not well captured by discrete symbols. Examples include extrapolation and slippery slope arguments, sorites, fuzzy logic, and those involving closeness of possible worlds. It is argued that the natural first attempts to analyze these notions and explain their relation to reasoning (...) fail, so that ignorance of their nature is profound. (shrink)

This article presents a defense of “presentist externalism,” that is, the claim that memory contents are fixed by the environment and by the time at which a recollection takes place rather than by those at which the original mental state occurred. Its case is an instance of an argument to the best explanation. The author argues, firstly, that “presentist externalism” is the only version of content externalism that can stand up to both Boghossian’s memory and fallacy arguments. In slow (...) switching cases, inferences containing memory thoughts as premises are unsound or unsafe, but valid. The author contends, secondly, that the externalist must recognize the existence of wide mismemories besides wide forgetting and that only the presentist externalist can account for their existence. The author maintains, finally, that if the validity of an inference requires that all its premises and conclusion be evaluated in the same context, that in which the inference is made, then it is the present context that fixes the content and the concepts of memory rather than the past. (shrink)

An ancient argument attributed to the philosopher Carneades is presented that raises critical questions about the concept of an all-virtuous Divine being. The argument is based on the premises that virtue involves overcoming pains and dangers, and that only a being that can suffer or be destroyed is one for whom there are pains and dangers. The conclusion is that an all-virtuous Divine (perfect) being cannot exist. After presenting this argument, reconstructed from sources in Sextus Empiricus and Cicero, this paper (...) goes on to model it as a deductively valid sequence of reasoning. The paper also discusses whet her the premises are true. Questions about the possibility and value of proving and disproving the existence of God by logical reasoning are raised, as well as ethical questions about how the cardinal ethical virtues should be defined. (shrink)

The nontechnical ability to identify or match argumentative structure seems to be an important reasoning skill. Instruments that have questions designed to measure this skill include major standardized tests for graduate school admission, for example, the United States-Canadian Law School Admission Test (LSAT), the Graduate Record Examinations (GRE), and the Graduate Management Admission Test (GMAT). Writers and reviewers of such tests need an appropriate foundation for developing such questions--they need a proper representation of phenomenological argumentative structure--for legitimacy, and because these (...) tests affect people's lives. This paper attempts to construct an adequate and appropriate representation of such structure, that is, the logical structure that an argument is perceived to have by mature reasoners, albeit ones who are untrained in logic. (shrink)

No evangelistic erroneous network of ideas can guarantee the satisfaction of these two demands : (1) propagate the network without revision and (2) completely insulate itself against losses in credibility and adherents through criticism. If a network of ideas is false, or inconsistent or fails to solve its intended problem, or unfeasible, or is too costly in terms of necessarily forsaken goals, its acceptability may be undermined given only true assumptions and valid arguments. People prefer to adopt ideologies that (...) (i) are logically consistent, (ii) are more truth-like and of higher information content than their rivals, (iii) are systematically organised, (iv) solve their problems better than their rivals, (v) do not contain unfeasible demands, and (vi) do not contain uneconomic demands. Truth and validity therefore act as Darwinian-like filters on ideologies. Using Popper's notion of situational analysis and with reference to Darwinian evolution, considered as a special case of the former, and Bartley's theory of comprehensively critical rationalism I argue that a propagandist cannot guarantee his message or his movement from sound criticism. All positions are in a methodological sense open to argument. Moreover, the logic of a propagandist's situation constrains him into making his message and himself open to criticism in order to maximize its chances of being propagated through the population. But he then loses control of the message in two respects. Firstly, his audience are disposed to select from the competing ideas they encounter those that satisfy (i) to (vi) because of man's evolutionary history. Secondly, he cannot guarantee protection from criticism even a privileged section of his message because he cannot predict in a systematic way what logical repercussions each protective reformulation of the ideology will have on other sections of the ideology and what criticism the ideology will encounter. He cannot do the latter because of certain logical properties of theories that endow them with unfathomable depths. Marxism and Freudianism serve as case studies, especially for the analysis of Popper's notion of the immunizing stratagem, a methodological/logical device that is supposed to save theories from criticism. "Immunizing stratagems" either abandon the ideology they are meant to protect or seriously lower its chances of being reproduced. (shrink)

It is one thing for a given proposition to follow or to not follow from a given set of propositions and it is quite another thing for it to be shown either that the given proposition follows or that it does not follow.* Using a formal deduction to show that a conclusion follows and using a countermodel to show that a conclusion does not follow are both traditional practices recognized by Aristotle and used down through the history of logic. These (...) practices presuppose, respectively, a criterion of validity and a criterion of invalidity each of which has been extended and refined by modern logicians: deductions are studied in formal syntax (proof theory) and coun¬termodels are studied in formal semantics (model theory). The purpose of this paper is to compare these two criteria to the corresponding criteria employed in Boole’s first logical work, The Mathematical Analysis of Logic (1847). In particular, this paper presents a detailed study of the relevant metalogical passages and an analysis of Boole’s symbolic derivations. It is well known, of course, that Boole’s logical analysis of compound terms (involving ‘not’, ‘and’, ‘or’, ‘except’, etc.) contributed to the enlargement of the class of propositions and arguments formally treatable in logic. The present study shows, in addition, that Boole made significant contributions to the study of deduc¬tive reasoning. He identified the role of logical axioms (as opposed to inference rules) in formal deductions, he conceived of the idea of an axiomatic deductive sys¬tem (which yields logical truths by itself and which yields consequences when ap¬plied to arbitrary premises). Nevertheless, surprisingly, Boole’s attempt to imple¬ment his idea of an axiomatic deductive system involved striking omissions: Boole does not use his own formal deductions to establish validity. Boole does give symbolic derivations, several of which are vitiated by “Boole’s Solutions Fallacy”: the fallacy of supposing that a solution to an equation is necessarily a logical consequence of the equation. This fallacy seems to have led Boole to confuse equational calculi (i.e., methods for gen-erating solutions) with deduction procedures (i.e., methods for generating consequences). The methodological confusion is closely related to the fact, shown in detail below, that Boole had adopted an unsound criterion of validity. It is also shown that Boole totally ignored the countermodel criterion of invalid¬ity. Careful examination of the text does not reveal with certainty a test for invalidity which was adopted by Boole. However, we have isolated a test that he seems to use in this way and we show that this test is ineffectual in the sense that it does not serve to identify invalid arguments. We go beyond the simple goal stated above. Besides comparing Boole’s earliest criteria of validity and invalidity with those traditionally (and still generally) employed, this paper also investigates the framework and details of THE MATHEMATICAL ANALYSIS OF LOGIC. (shrink)

This article critically examines the structure and implications of the argument in ST 1, Q2, A3, associated with Aquinas’ First Way. Our central endeavor is to discern whether a certain disambiguation of point 6 (“There is something that is not moving/changing that moves/changes other things”) can be logically inferred from points 1-5. Through a three-part proof, the article establishes that under specific conditions, it can indeed be inferred. However, this interpretation notably diverges from Aquinas’ intended conclusion and subsequent stronger interpretations (...) of the claim. The paper also engages in discussions surrounding the soundness of the argument, assessing the plausibility of its premises in light of physics and logical analysis. The contribution does not seek to speculate on Aquinas’ understanding or to dismiss his perspective but rather to delineate what follows from his First Way premises, highlighting discrepancies with contemporary views on the nature of existence, particularly the notion of God. (shrink)