Within the context of the Quine–Putnam indispensability argument, one discussion about the status of mathematics is concerned with the ‘Enhanced Indispensability Argument’, which makes explicit in what way mathematics is supposed to be indispensable in science, namely explanatory. If there are genuine mathematical explanations of empirical phenomena, an argument for mathematical platonism could be extracted by using inference to the best explanation. The best explanation of the primeness of the life cycles of Periodical Cicadas is genuinely mathematical, (...) according to Baker :223–238, 2005; Br J Philos Sci 60:611–633, 2009). Furthermore, the result is then also used to strengthen the platonist position :779–793, 2017a). We pick up the circularity problem brought up by Leng Mathematical reasoning, heuristics and the development of mathematics, King’s College Publications, London, pp 167–189, 2005) and Bangu :13–20, 2008). We will argue that Baker’s attempt to solve this problem fails, if Hume’s Principle is analytic. We will also provide the opponent of the Enhanced Indispensability Argument with the so-called ‘interpretability strategy’, which can be used to come up with alternative explanations in case Hume’s Principle is non-analytic. (shrink)

The No-Miracle Argument (NMA) is one of the main argumentation frameworks of scientific realism. Many rebuttals have been offered by antirealists around NMA, the important of which are the Pessimistic Meta-induction (PMI), the Circular Argument, and the Underdetermination of Theory by Evidence. This essay attempts to defend NMA and scientific realism by refuting these three major refutations.

Disagreement and debunking arguments threaten religious belief. In this paper, I draw attention to two types of propositions and show how they reveal new ways to respond to debunking arguments and disagreement. The first type of proposition is the epistemically self-promoting proposition, which, when justifiedly believed, gives one a reason to think that one reliably believes it. Such a proposition plays a key role in my argument that some religious believers can permissibly wield an epistemically circular argument (...) in response to certain debunking arguments. The second type of proposition is the epistemically others-demoting proposition, which, when justifiedly believed, gives one a reason to think that others are unreliable with respect to it. Such a proposition plays a key role in my argument that some religious believers can permissibly wield a question-begging argument to respond to certain types of disagreement. (shrink)

Atheists sometimes use Bertrand Russell's teapot argument, and its variants with other objects in place of the teapot, to argue for the rationality of atheism. In this paper I show that this use of the teapot argument and its variants is unacceptably circular. The circularity arises because there is indirect evidence against the objects invoked in the arguments.

Among the arguments that have been proposed for physicalism, the “causal argument” is widely taken to be the most compelling. Justin Tiehen (2015) has raised an interesting objection to this argument that takes the form of a dilemma. Tiehen’s ultimate conclusion is that at best, the causal argument is circular and so its premises cannot provide support for its conclusion, physicalism. The aim of the present paper is to respond to Tiehen’s objection in order to provide (...) a defense of the causal argument. (shrink)

Epistemically circular arguments have been receiving quite a bit of attention in the literature for the past decade or so. Often the goal is to determine whether reliabilists (or other foundationalists) are committed to the legitimacy of epistemically circular arguments. It is often assumed that epistemic circularity is objectionable, though sometimes reliabilists accept that their position entails the legitimacy of some epistemically circular arguments, and then go on to affirm that such arguments really are good ones. My (...) goal in this paper is to argue against the legitimacy of epistemically circular arguments. My strategy is to give a direct argument against the legitimacy of epistemically circular arguments, which rests on a principle of basis-relative safety, and then to argue that reliabilists do not have the resources to resist the argument. I argue that even if the premises of an epistemically circular argument enjoy reliabilist justification, the argument does not transmit that justification to its conclusion. The main goal of my argument is to show that epistemic circularity is always a bad thing, but it also has the positive consequence that reliabilists are freed from an awkward commitment to the legitimacy of some intuitively bad arguments. (shrink)

In this paper, I start by describing and examining the main results about the option of formalizing the Yablo Paradox in arithmetic. As it is known, although it is natural to assume that there is a right representation of that paradox in first order arithmetic, there are some technical results that give rise to doubts about this possibility. Then, I present some arguments that have challenged that Yablo’s construction is non-circular. Just like that, Priest (1997) has argued that such (...) formalization shows that Yablo’s Paradox involves implicit circularity. In the same direction, Beall (2001) has introduced epistemic factors in this discussion. Even more, Priest has also argued that the introduction of infinitary reasoning would be of little help. Finally, one could reject definitions of circularity in term of fixed-point adopting non-well-founded set theory. Then, one could hold that the Yablo paradox and the Liar paradox share the same non-well-founded structure. So, if the latter is circular, the first is too. In all such cases, I survey Cook’s approach (2006, forthcoming) on those arguments for the charge of circularity. In the end, I present my position and summarize the discussion involved in this volume. En este artículo, describo y examino los principales resultados vinculados a la formalización de la paradoja de Yablo en la aritmética. Aunque es natural suponer que hay una representación correcta de la paradoja en la aritmética de primer orden, hay algunos resultados técnicos que hacen surgir dudas acerca de esta posibilidad. Más aún, presento algunos argumentos que han cuestionado que la construcción de Yablo no sea circular. Así, Priest (1997) ha argumentado que la formalización de la paradoja de Yablo en la aritmética de primer orden muestra que la misma involucra implícitamente circularidad. En la misma dirección, Beall (2001) ha introducido factores epistémicos en esta discusión. Más aún, Priest ha también argumentado que la introducción de razonamiento infinitario como complemento de la formalización en la aritmética sería de poca ayuda. Finalmente, se podría rechazar todo intento de dar definiciones de circularidad en términos de puntos fijos adoptando teoría de conjuntos infundados. Entonces, se podría sostener que la paradoja de Yablo y la del mentiroso comparten la misma estructura infundada. Por eso, si la última es circular, también lo es la primera. En todos los casos, presento el enfoque de Roy Cook (2006, en prensa) sobre estos argumentos que atribuyen circularidad a la construcción de Yablo. En el final, presento mi posición y un breve resumen de la discusión involucrada en este volumen. (shrink)

Contemporary philosophical accounts of the applicability of mathematics in physical sciences and the empirical world are based on formalized relations between the mathematical structures and the physical systems they are supposed to represent within the models. Such relations were constructed both to ensure an adequate representation and to allow a justification of the validity of the mathematical models as means of scientific inference. This article puts in evidence the various circularities (logical, epistemic, and of definition) that are present in these (...) formal constructions and discusses them as an argument for the alternative semantic and propositional-structure accounts of the applicability of mathematics. (shrink)

Research on epistemic circularity has focused more on the problem of whether circular arguments are able to justify their conclusions rather than on the nature of circularity itself, and has kept a sharp delimitation from other types of circularities (logical, linguistic, and of definition). In this paper, I aim to move the focus toward the general concept of circularity, which I relate to the concept of ‘epistemic worry’. Through a brief overview on the known types of circularities, I show (...) that circularity has multiple natures (not only that associated with its type), and the linguistic aspect is essential in qualifying a construct as circular, which in turn raises the problem of genuineness of a circularity. Within an extensional approach, I suggest generalizing the meaning of the key epistemological terms referred to in the classical definition of epistemic circularity to also cover additional associated concepts specific to other theoretical disciplines beyond epistemology. The proposed concepts and ideas are reflected in a structural unificatory account of circularity in terms of epistemic determination, which raises a challenge to the relational accounts of determination in regard to the transitivity of the determination relation. (shrink)

In this essay, I consider an evolutionary debunking argument (EDA) that purports to undermine the epistemic justification of the belief in the reliability of our belief-forming processes, and an evolutionary vindicating argument (EVA) that seeks to establish that such a belief is epistemically justified. Whereas the EDA in question seems to fall prey to crippling self-defeat, the EVA under consideration seems to fall prey to vicious circularity. My interest in those arguments and the problems they face lies in (...) what they might tell us about the possibly aporetic nature of reason. For, if we take the EDA and the EVA in question to consist of true or plausible premises and valid inferences at which we arrive through a meticulous use of reason, then their falling victim to either crippling self-defeat or vicious circularity might be regarded as a sign that, when we push rational reflection on the reliability, or lack thereof, of our belief-forming capacities to the limit, we end up in a situation of aporia from which there seems to be no escape. (shrink)

RésuméLa critique kantienne de la psychologie rationnelle est une expérience de pensée visant ni un individu ni une école, mais une tendance de la raison humaine à « hypostasier » la condition intellectuelle suprême d'une connaissance quelconque (le « Je pense ») en connaissance du « moi ». Cette tendance implique une circularité qui est également la cible des critiques transcendantales bien plus familières qui visent Locke et Hume. De même qu'un nouveau type de cercle (dit « de niveau »), (...) cet article propose une conception des arguments transcendantaux différente de celle présupposée dans la plupart des débats contemporains sur l'empirisme, le naturalisme et le fondationnalisme cartésien. (shrink)

In this paper, I propose a critique of the naturalist version of the Desire-Based Reasons Model. I first set the scene by spelling out the connection between naturalism and the Model. After this, I introduce Christine Korsgaard’s circularity argument against what she calls the instrumental principle. Since Korsgaard’s targets, officially, were non-naturalist advocates of the principle, I show why and how the circularity charge can be extended to cover the naturalist Model. Once this is done, I go on to (...) investigate in some detail the different ways of responding to the circularity challenge. I argue that none of these responses succeed, at least not without serious costs to their advocates. I then end the paper with a brief summary and some concluding remarks. (shrink)

Although Alston believed epistemically circular arguments were able to justify their conclusions, he was also disquieted by them. We will argue that Alston was right to be disquieted. We explain Alston’s view of epistemic circularity, the considerations that led him to accept it, and the purposes he thought epistemically circular arguments could serve. We then build on some of Alston’s remarks and introduce further limits to the usefulness of such arguments and introduce a new problem that stems from (...) those limits. The upshot is that adopting Alston’s view that epistemically circular arguments can be used to justify their conclusions is more costly than even he thought. (shrink)

Descartes has been accused of reasoning in a circle since the publication of the Meditations. The Circle is easy to point out: it seems that Descartes employs clear and distinct perceptions to demonstrate God’s existence and benevolence, and the latter, in turn, validates the use of clear and distinct perceptions. But is Descartes really guilty of fallacious argument, or can we break the arc somehow?

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’.

The “problem of memory” in epistemology is concerned with whether and how we could have knowledge, or at least justification, for trusting our apparent memories. I defend an inductive solution—more precisely, an abductive solution—to the problem. A natural worry is that any such solution would be circular, for it would have to depend on memory. I argue that belief in the reliability of memory can be justified from the armchair, without relying on memory. The justification is, roughly, that my (...) having the sort of experience that my apparent memory should lead me to expect is best explained by the hypothesis that my memories are reliable. My solution is inspired by Harrod’s (1942) inductive solution. Coburn (1960) argued that Harrod’s solution contains a fatal flaw. I show that my solution is not vulnerable to Coburn’s objection, and respond to a number of other, recent and likely objections. (shrink)

I argue that the argument from zombies against physicalism is question-begging unless proponents of the argument from zombies can justify the inference from the metaphysical possibility of zombies to the falsity of physicalism in an independent and non-circular way, i.e., a way that does not already assume the falsity of physicalism.

I develop a new version of the ordinary language response to skepticism. My version is based on premises about the practical functions served by our epistemic words. I end by exploring how my argument against skepticism is interestingly non-circular and philosophically valuable.

The traditional No-Miracles Argument (TNMA) asserts that the novel predictive success of science would be a miracle, and thus too implausible to believe, if successful theories were not at least approximately true. The TNMA has come under fire in multiple ways, challenging each of its premises and its general argumentative structure. While the TNMA relies on explaining novel predictive success via the truth of the theories, we put forth a deductive version of the No-Miracles argument (DNMA) that avoids (...) inference to the best explanation entirely. Instead, a relatively simple empirical framework and a probabilistic analysis can accomplish the ambitious goals of the TNMA while entirely sidestepping its problems. This close-but-distinct argument has many independent strengths and comparatively few weaknesses. Indeed, objections tailored specifically to the DNMA reveal surprising insights into how exactly NMAs are neither circular nor question-begging, as has been widely speculated. (shrink)

There are possible worlds in which time is circular and finite in duration, forming a loop of, say, 12,000 years. There are also possible worlds in which time is linear and infinite in both directions and in which history is repetitive, consisting of infinitely many 12,000-year epochs, each two of which are exactly alike with respect to all intrinsic, purely qualitative properties. Could one ever have empirical evidence that one inhabits a world of the first kind rather than a (...) world of the second kind? We argue for the affirmative answer, contra Quine, Newton-Smith, and Bergström. Our argument for that conclusion differs from an argument for the same conclusion due to Weir. Weir’s argument is probabilistic and explicitly requires having evidence against determinism. Our argument is a direct appeal to the simplicity of laws, and it involves no probabilistic component. It is modeled on Shoemaker’s argument that one could have evidence of time without change. (shrink)

As Alexander D’Entrees observed over forty years ago, the case for natural law “is not an easy one to put clearly and convincingly.” Furthermore, even if one can make the case for natural law in a clear and convincing manner, one should not expect such an argument to be clear and convincing for all time. Instead, the case for natural law must be an ongoing argument, addressing itself perpetually to the needs of the time as these needs shift (...) and change. In short, the case for natural law “must needs appear in a different light according to the angle in time or in place from which it is looked at.” With this precept in mind, I seek to examine Thomas Aquinas’s natural law teaching on the legislation of virtue in light of concerns that are especially acute from the perspective of contemporary liberalism. (shrink)

The representations of deep convolutional neural networks (CNNs) are formed from generalizing similarities and abstracting from differences in the manner of the empiricist theory of abstraction (Buckner, Synthese 195:5339–5372, 2018). The empiricist theory of abstraction is well understood to entail infinite regress and circularity in content constitution (Husserl, Logical Investigations. Routledge, 2001). This paper argues these entailments hold a fortiori for deep CNNs. Two theses result: deep CNNs require supplementation by Quine’s “apparatus of identity and quantification” in order to (1) (...) achieve concepts, and (2) represent objects, as opposed to “half-entities” corresponding to similarity amalgams (Quine, Quintessence, Cambridge, 2004, p. 107). Similarity amalgams are also called “approximate meaning[s]” (Marcus & Davis, Rebooting AI, Pantheon, 2019, p. 132). Although Husserl inferred the “complete abandonment of the empiricist theory of abstraction” (a fortiori deep CNNs) due to the infinite regress and circularity arguments examined in this paper, I argue that the statistical learning of deep CNNs may be incorporated into a Fodorian hybrid account that supports Quine’s “sortal predicates, negation, plurals, identity, pronouns, and quantifiers” which are representationally necessary to overcome the regress/circularity in content constitution and achieve objective (as opposed to similarity-subjective) representation (Burge, Origins of Objectivity. Oxford, 2010, p. 238). I base myself initially on Yoshimi’s (New Frontiers in Psychology, 2011) attempt to explain Husserlian phenomenology with neural networks but depart from him due to the arguments and consequently propose a two-system view which converges with Weiskopf’s proposal (“Observational Concepts.” The Conceptual Mind. MIT, 2015. 223–248). (shrink)

Are we perhaps in the "matrix", or anyway, victims of perfect and permanent computer simulation? No. The most convincing—and shortest—version of Putnam's argument against the possibility of our eternal envattment is due to Crispin Wright (1994). It avoids most of the misunderstandings that have been elicited by Putnam's original presentation of the argument in "Reason, Truth and History" (1981). But it is still open to the charge of question-begging. True enough, the premisses of the argument (disquotation and (...) externalism) can be formulated and defended without presupposing external objects whose existence appears doubtful in the light of the very skeptical scenario which Putnam wants to repudiate. However, the argument is only valid if we add an extra premiss as to the existence of some external objects. In order to avoid circularity, we should run the argument with external objects which must exist even if we are brains in a vat, e.g. with computers rather than with trees. As long as the skeptic is engaged in a discussion of the brain-in-a-vat scenario, she should neither deny the existence of computers nor the existence of causal relations; for if she does, she is in fact denying that we are brains in a vat. (shrink)

Pretheoretically we hold that we cannot gain justification or knowledge through an epistemically circular reasoning process. Epistemically circular reasoning occurs when a subject forms the belief that p on the basis of an argument A, where at least one of the premises of A already presupposes the truth of p. It has often been argued that process reliabilism does not rule out that this kind of reasoning leads to justification or knowledge. For some philosophers, this is a (...) reason to reject reliabilism. Those who try to defend reliabilism have two basic options: (I) accept that reliabilism does not rule out circular reasoning, but argue that this kind of reasoning is not as epistemically “bad” as it seems, or (II) hold on to the view that circular reasoning is epistemically “bad”, but deny that reliabilism really allows this kind of reasoning. Option (I) has been spelled out in several ways, all of which have found to be problematic. Option (II) has not been discussed very widely. Vogel considers and quickly dismisses it on the basis of three reasons. Weisberg has shown in detail that one of these reasons is unconvincing. In this paper I argue that the other two reasons are unconvincing as well and that therefore option (II) might in fact be a more promising starting point to defend reliabilism than option (I). (shrink)

Part I argues that ontological arguments, like other classical proofs of the existence of God, are parts of larger arguments in which they are embedded. These larger arguments include reasons supporting the proofs’ premises and responses to them, and to the proofs’ claims to validity and non-circularity, since, in the final analysis, our assessment of the proofs will express our best judgment of the cumulative force of all the considerations bearing on their overall adequacy. Part II illustrates these points by (...) examining contemporary defences of, and attacks on, one of the ontological argument’s central premises, namely, that God’s existence is logically possible. (shrink)

In her paper, “The Non-Governing Conception of Laws,” Helen Beebee argues that it is not a conceptual truth that laws of nature govern, and thus that one need not insist on a metaphysical account of laws that makes sense of their governing role. I agree with the first point but not the second. Although it is not a conceptual truth, the fact that laws govern follows straightforwardly from an important (though under-appreciated) principle of scientific theory choice combined with a highly (...) plausible claim about the connection between scientific theory choice and theory choice in metaphysics. I present and defend this argument and then show how the resulting understanding of governance gives rise to an especially strong version of recent explanatory circularity arguments against Humeanism about laws of nature. Finally, I present three options for a further understanding of the governance relation that are compatible with my argument. (shrink)

The “demarcation problem,” the issue of how to separate science from pseu- doscience, has been around since fall 1919—at least according to Karl Pop- per’s (1957) recollection of when he first started thinking about it. In Popper’s mind, the demarcation problem was intimately linked with one of the most vexing issues in philosophy of science, David Hume’s problem of induction (Vickers 2010) and, in particular, Hume’s contention that induction cannot be logically justified by appealing to the fact that “it works,” (...) as that in itself is an inductive argument, thereby potentially plunging the philosopher straight into the abyss of a viciously circular argument. (shrink)

The apparently circular arguments in Descartes’s Meditations should be read as analytic arguments, as Descartes himself suggested. This both explains and excuses the appearance of circularity. Analysis “digs out” what is already present in the meditator’s mind but not yet “expressly known”. Once this is achieved, the meditator may take the result of analysis as an epistemic starting point independent of the original argument. That is, analytic arguments may be reversed to yield demonstrative proofs that follow an already (...) worked-out order of ideas. The “Cartesian Circle,” for example, is circular only when Descartes’s original analytic argument is mistaken for the demonstration that it enables. This approach to Cartesian Circles is unlike the standard approach, which attempts to show that Descartes’s original arguments do work as demonstrations after all. (shrink)

The philosophical debate on the freedom of movement focuses almost exclusively on long-term migration, what I call, migration as settlement. The normative justifications defending border controls assume that the movement of people across political borders, independent of its purpose and the length of stay, refers to migration as settlement. “Global mobility,” “international movement,” and “immigration” are oftenused interchangeably. However, global mobility also refers to the movements of people across international borders for a short length of time such as travel, short-term (...) and circular migration. While most scholarly attention has focused on long-term migration, the vast majority of cross-border movement of people (approximately 85% of all cross-border movements in 2019) is short-term. The existing literature offers normative arguments for border controls, which are grounded on states’ right to self-determination, the freedom of (dis)association, the welfare state, the duty to compatriots, and brain drain. In this paper, I argue that these arguments do not justify excluding travelers, short-term and circular migrants from the territory. (shrink)

Fodor argued that learning a concept by hypothesis testing would involve an impossible circularity. I show that Fodor's argument implicitly relies on the assumption that actually φ-ing entails an ability to φ. But this assumption is false in cases of φ-ing by luck, and just such luck is involved in testing hypotheses with the kinds of generative random sampling methods that many cognitive scientists take our minds to use. Concepts thus can be learned by hypothesis testing without circularity, and (...) it is plausible that this is how humans in fact acquire at least some of their concepts. (shrink)

Locke’s theory of personal identity was philosophically groundbreaking for its attempt to establish a non-substantial identity condition. Locke states, “For the same consciousness being preserv’d, whether in the same or different Substances, the personal Identity is preserv’d” (II.xxvii.13). Many have interpreted Locke to think that consciousness identifies a self both synchronically and diachronically by attributing thoughts and actions to a self. Thus, many have attributed to Locke either a memory theory or an appropriation theory of personal identity. But the former (...) stumble on circularity and the latter is insufficient for Locke’s moral theory insofar as he is committed to a theory of divine rectification. The common problem is that Locke’s theory seems to demand an objective, or metaphysical, fact of a continuing consciousness that does not appeal to a traditional notion of substance for the continuity. I’m suggesting something new. In II.xxvii of the Essay, we see an ambiguity in Locke’s use of the term ‘consciousness’. Locke seems to see consciousness as both a mental state by means of which we are aware of ourselves as perceiving and as the ongoing self we are aware of in these conscious states. First, I make the textual argument why we should read Locke as having a conception of a metaphysical fact of a continuing consciousness that does not appeal to thinking or bodily substance to establish its continuity. I then argue that the metaphysical fact of an enduring consciousness is revealed to us as a phenomenological fact of experience. Due to the nature of certain kinds of perceptual situations we have an experience of ourselves as temporally extended. Although the text bears out that Locke seemed to think there is a fact of an ongoing consciousness, I argue that it is consistent with his reluctance elsewhere that he makes no further epistemological or ontological claims about it. Finally, I provide an account of Locke’s understanding of memory and its relation to consciousness that supports the claim that consciousness is something ontologically distinct from either thinking or bodily substance. (shrink)

Bence Nanay has argued that we must abandon the etiological theory of teleological function because this theory explains functions and functional categories in a circular manner. Paul Griffiths argued earlier that we should retain the etiological theory and instead prevent the circularity by making etiologies independent of functional categories. Karen Neander and Alex Rosenberg reply to Nanay similarly, and argue that we should analyze functions in terms of natural selection acting not on functional categories, but merely on lineages. Nanay (...) replies that these lineages cannot be individuated except by reference to functional categories. Worryingly, Neander and Rosenberg themselves have previously argued persuasively that homology often depends on function. This article addresses their arguments and shows how to escape them: Regardless whether the arguments are right about long-term homological categories, they do not apply to generation-to-generation homology. The latter, moreover, is sufficient for individuating the lineages needed to explain teleological functions. (shrink)

The argument diagramming method developed by Monroe C. Beardsley in his (1950) book Practical Logic, which has since become the gold standard for diagramming arguments in informal logic, makes it possible to map the relation between premises and conclusions of a chain of reasoning in relatively complex ways. The method has since been adapted and developed in a number of directions by many contemporary informal logicians and argumentation theorists. It has proved useful in practical applications and especially pedagogically in (...) teaching basic logic and critical reasoning skills at all levels of scientific education. I propose in this essay to build on Beardsley diagramming techniques to refine and supplement their structural tools for visualizing logical relationships in a number of categories not originally accommodated by Beardsley diagramming, including circular reasoning, reductio ad absurdum arguments, and efforts to dispute and contradict arguments, with applications and analysis. (shrink)

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

In our earlier work, we argued, contra Searle, that institutional facts can be understood in terms of non-institutional facts about actions and incentives. Butchard and D’Amico claim that we have misinterpreted Searle, that our main argument against him (“the circularity objection”) has no merit and that our positive view cannot account for institutional facts created via joint action. We deny all three charges.

How do we determine whether individuals accept the actual consistency of a political argument instead of just its rhetorical good looks? This article answers this question by proposing an interpretation of political argument within the constraints of political liberalism. It utilises modern developments in the philosophy of logic and language to reclaim ‘meaningless nonsense’ from use as a partisan war cry and to build up political argument as something more than a power struggle between competing conceptions of (...) the good. Standard solutions for ‘clarifying’ meaning through descriptive definition encounter difficulties with the biases of status quo idioms (long noted by theorists like William Connolly and Quentin Skinner), as well as partisan translations and circularity. Collectively called linguistic gerrymandering, these difficulties threaten political liberalism’s underlying coherency. The proposed interpretation of political argument overcomes this with a new brand of conceptual analysis that can falsifiably determine whether rhetoric has hijacked political argument. (shrink)

Descartes wants to show that clear and distinct ideas are trustworthy. However, his argument seems circular. For his premise that God is trustworthy depends on clear and distinct insight. Descartes’ reaction to the circularity reproach can be interpreted in two ways. The first is a psychological one. Clear and distinct insights are coercing. Thus they cannot be doubted as long as one attends to them. The argument is only meant to extend this instantaneous coercion to the whole (...) range of psychological states. This reaction does not fit Descartes’ aim of more reliable beliefs. The second interpretation integrates this aim of reliability into the demands of clarity and distinctness. Clear and distinct insights are to bridge the gap between internal accessibility and external reliability. Yet in this interpretation the invocation of God’s trustworthiness seems superfluous. Departing from contemporary epistemological ideas two possibilities to nevertheless make sense of this invocation are discussed. The first is that the argument of God’s trustworthiness provides a gain in reflective coherence. However, this reasoning conflicts with the situation of methodic doubt which involves suspending one’s whole system of belief. The second, more promising possibility is that it is an epistemic aim to provide an account of origin and purpose of our cognitive faculties. (shrink)

In ‘A modal theory of function’, I gave an argument against all existing theories of function and outlined a new theory. Karen Neander and Alex Rosenberg argue against both my negative and my positive claim. My aim here is not merely to defend my account from their objections, but to (a) very briefly point out that the new account of etiological function they propose in response to my criticism cannot avoid the circularity worry either and, more importantly, to (b) (...) highlight, and attempt to make precise, an important feature of my modal theory that may have been understated in the original paper – that function attributions depend on the explanatory project at hand. (shrink)

Some recent literature [Hicks, M. T. and van Elswyk. P., (2015) pp. 433-443, 2015; Bhogal, H. (2017), pp. 447-460] has argued that the non-Humean conceptions of laws of nature have a same weakness as the Humean conceptions of laws of nature. That is, both conceptions face an explanatory circularity problem. The argument is as follows: the Humean and the non-Humean conceptions of laws of nature agree that the law statements are universal generalisations; thus, both conceptions are vulnerable to an (...) explanatory circularity problem between the laws of nature and their instances. In this paper, I argue that Armstrong’s necessitarian view of laws of nature is invulnerable to this explanatory circularity problem. (shrink)

We offer a novel interpretation of the argumentative role that Meditation IV plays within the whole of the Meditations. This new interpretation clarifies several otherwise head-scratching claims that Descartes makes about Meditation IV, and it fully exonerates the Fourth Meditation from either raising or exacerbating Descartes’ circularity problems.

The methodological nonreductionism of contemporary biology opens an interesting discussion on the level of ontology and the philosophy of nature. The theory of emergence (EM), and downward causation (DC) in particular, bring a new set of arguments challenging not only methodological, but also ontological and causal reductionism. This argumentation provides a crucial philosophical foundation for the science/theology dialogue. However, a closer examination shows that proponents of EM do not present a unified and consistent definition of DC. Moreover, they find it (...) difficult to prove that higher-order properties can be causally significant without violating the causal laws that operate at lower physical levels. They also face the problem of circularity and incoherence in their explanation. In our article we show that these problems can be overcome only if DC is understood in terms of formal rather than physical (efficient) causality. This breakdown of causal monism in science opens a way to the retrieval of the fourfold Aristotelian notion of causality. (shrink)

Why should one think Frege's definition of the ancestral correct? It can be proven to be extensionally correct, but the argument uses arithmetical induction, and that seems to undermine Frege's claim to have justified induction in purely logical terms. I discuss such circularity objections and then offer a new definition of the ancestral intended to be intensionally correct; its extensional correctness then follows without proof. This new definition can be proven equivalent to Frege's without any use of arithmetical induction. (...) This proves, without any use of arithmetical induction, that Frege's definition is extensionally correct and so answers the circularity objections. (shrink)

The paper explores the possibilities and limits of naturalizing the experience of intersubjectivity. The existence of mirror neurons illustrates that an experience of intersubjectivity is already present on a more primitive, precognitive, and embodied level. A similar argument had been made in the first half of the twentieth century by phenomenologists, such as Edmund Husserl. This motivated Vittorio Gallese, one of the discoverers of mirror neurons, and other philosophers to connect the functioning of mirror neurons with Husserl’s phenomenology of (...) intersubjectivity as presented in his Cartesianische Meditationen. I argue that such attempts are grounded in an inadequate interpretation of Husserl’s analysis and turn into a circular argument. As such, they bypass a more primordial experience of intersubjectivity, which Husserl thematizes in Ideen II as the experience of an “expressive unity,” and which resists any project of naturalization from within. (shrink)

The thesis of this paper is that we can justify induction deductively relative to one end, and deduction inductively relative to a different end. I will begin by presenting a contemporary variant of Hume ’s argument for the thesis that we cannot justify the principle of induction. Then I will criticize the responses the resulting problem of induction has received by Carnap and Goodman, as well as praise Reichenbach ’s approach. Some of these authors compare induction to deduction. Haack (...) compares deduction to induction, and I will critically discuss her argument for the thesis that we cannot justify the principles of deduction next. In concluding I will defend the thesis that we can justify induction deductively relative to one end, and deduction inductively relative to a different end, and that we can do so in a non-circular way. Along the way I will show how we can understand deductive and inductive logic as normative theories, and I will briefly sketch an argument to the effect that there are only hypothetical, but no categorical imperatives. (shrink)

In two recent papers, Michael Della Rocca accuses Descartes of reasoning circularly in the Fourth Meditation. This alleged new circle is distinct from, and more vicious than, the traditional Cartesian Circle arising in the Third Meditation. We explain Della Rocca’s reasons for this accusation, showing that his argument is invalid.

The question of what we immediately perceive from the first-person point of view has been an issue of philosophizing since the beginning of Western philosophy. However, many philosophers have not considered all theoretical and practical consequences concerning identity and causation in perceptual experience between a perceiver and the external world. Despite their meritorious studies, philosophers have failed to completely understand how the causal series of events affects what we immediately experience. Using facts relating to perceivers, logical reasoning, introspection, and philosophical (...) theories, the aim of this research is to show that objects of sense have been contradictorily and confusedly associated with several objects in philosophy of perception. The research problem is that of whether the entity external to a perceiver is identical to the immediate object of perceptual experience. The research starts from the basic beliefs that things appear in experience and that there is causality in perceptual experience. After presenting philosophical theories of perception, the concept ‘sense-datum’, a characterization of ‘perception’, and basic arguments for perceiving the inner private sense-datum, the study examines Bertrand Russell’s and G. E Moore’s arguments for a claim that we always perceive mind-internal sense-data. This claim is problematic if ‘sense-datum’ is considered as being under the category of substance. Nonetheless, evidence for a claim in direct realism and eliminative materialism that the immediate object of perception is an external entity leads to circularity and identity problems. Finally, by means of a demonstration based on understanding and facts in perceivers and perceptual phenomena, the research concludes that the external entity is not identical to the immediate object of perceptual experience. Perceptual experience does not directly reach the external world, and the objects of sense are not independent of the perceiver. (shrink)

Since there is no really elaborated theory of the dialectic of nature, it is not only desirable but necessary to take a look at some of Hegel's original intuitions, which in many cases lost their distinctness in his later works, or fell victim to the exigencies of his system. Philosophy makes use not only of reasoning but also of intuition. In respect of the mass which offers persistent resistance to a notional solution, it is important to find a suitable image (...) for developing a first approximation to the understanding of the question. According to Hegel, the metaphors of circular and gyratory motion are well-suited for this. Here it is essential to clarify what we can gain by a structural interpretation of such ideas. I think that an attempt has to be made to bring out the contemporary relevance of the topic. Doing so is always a delicate matter, but it is a must if undertakings of the present kind are to be anything more than philological expositions of Hegel's philosophy, if they are to make a real contribution to reflection on the foundations of physics. I shall first give a brief review of the arguments put forward in the Encyclopedia; then I shall analyse Hegel's interpretation of circular and gyratory motion and discuss the possibility of bringing out the relevance of his ideas; finally, I shall draw certain conclusions in respect of the principles involved in comprehending the divisibility of matter, and in putting forward a philosophical interpretation of the theory of relativity. (shrink)

In this paper, I argue that the disjunction elimination rule presupposes the principle that a true disjunction contains at least one true disjunct. However, in some contexts such as supervaluationism or quantum logic, we have good reasons to reject this principle. Hence, disjunction elimination is restricted in at least one respect: it is not applicable to disjunctions for which this principle does not hold. The insight that disjunction elimination presupposes the principle that a true disjunction contains at least one true (...) disjunct is applied to two arguments which argue for this very principle. I show that these arguments are rule-circular since they rest on disjunction elimination. I claim that rule-circularity better explains why the arguments fail than the explanations provided by Rumfitt (2015), which, for instance, rely on controversial principles about truth. (shrink)

Fine, Lowe and Hale accept the view that necessity is to be explained by essences: Necessarily p iff, and because, there is some x whose essence ensures that p. Hale, however, believes that this strategy is not universally applicable; he argues that the necessity of essentialist truths cannot itself be explained by once again appealing to essentialist truths. As a consequence, Hale holds that there are basic necessities that cannot be explained. Thus, Hale style essentialism falls short of what Wilsch (...) calls the explanation-challenge (EC) for the metaphysics of necessity. Without endorsing the EC, I argue that Hale’s argument for basic, unexplained necessities fails due to a misunderstanding of the structure of essentialist explanations. Getting clear about the structure of essentialist explanations of necessity leads to a re-evaluation of crucial circularity- and regress-arguments that have been discussed in the debate about essentialism. (shrink)

When national borders in the modern sense first began to be established in early modern Europe, non-contiguous and perforated nations were a commonplace. According to the conception of the shapes of nations that is currently preferred, however, nations must conform to the topological model of circularity; their borders must guarantee contiguity and simple connectedness, and such borders must as far as possible conform to existing topographical features on the ground. The striving to conform to this model can be seen at (...) work today in Quebec and in Ireland, it underpins much of the rhetoric of the P.L.O., and was certainly to some degree involved as a motivating factor in much of the ethnic cleansing which took place in Bosnia in recent times. The question to be addressed in what follows is: to what extent could inter-group disputes be more peacefully resolved, and ethnic cleansing avoided, if political leaders, diplomats and others involved in the resolution of such disputes could be brought to accept weaker geometrical constraints on the shapes of nations? A number of associated questions then present themselves: What sorts of administrative and logistical problems have been encountered by existing non contiguous nations and by perforated nations, and by other nations deviating in different ways from the received geometrical ideal? To what degree is the desire for continuity and simple connectedness a rational desire, and to what degree does it rest on species of political rhetoric which might be countered by, for example, philosophical argument? These and a series of related questions will form the subject- matter of the present essay. (shrink)