Argument-forms exist which are valid over finite but not infinite domains. Despite understanding of this by formal logicians, philosophers can be observed treating as valid arguments which are in fact invalid over infinite domains. In support of this claim I will first present an argument against the classical pragmatist theory of truth by Mark Johnston. Then, more ambitiously, I will suggest the fallacy lurks in certain arguments for physicalism taken for granted by many philosophers today.

Following a linguistic-descriptivist approach, Marianne Doury has studied debates about “parasciences”, discovering that “parascientists” frequently argue by “appeal to Galileo” ; opponents object by criticizing the analogy, charging fallacy, and appealing to counter-examples. I argue that Galilean appeals are much more widely used, by creationists, global-warming skeptics, advocates of “settled science”, great scientists, and great philosophers. Moreover, several subtypes should be distinguished; critiques questioning the analogy are proper; fallacy charges are problematic; and appeals to counter-examples are really indirect critiques of (...) the analogy. (shrink)

In his works on argumentation, Aristotle develops three main forms: apodeictical, dialectical, and rhetorical argumentation; dialectic is subdivided into several subspecies. The purpose of this paper is to discuss all of the forms described by Aristotle, to examine their differences and to point out their interrelations. This leads to an examination of the differentiating criteria and their applicability in the case of each argumentation form—and in particular to the question regarding the number of criteria that are necessary to (...) describe each form clearly and unambiguously. It is argued that Aristotle’s works on argumentation contain an implicit system of argumentation forms that is based on no more than three criteria. (shrink)

This book explains how the Cratylus, Plato's apparently meandering and comical dialogue on the correctness of names, makes serious philosophical progress by its notorious etymological digressions. While still a wild ride through a Heraclitean flood of etymologies which threatens to swamp language altogether, the Cratylus emerges as an astonishingly organized evaluation of the power of words.

According to the Asymmetry Thesis, whereas there are many kinds of argument-forms that make at least some of their instances valid, there is none that makes any of its instances invalid. To refute this thesis, a counterexample has been produced in the form of an argument-form whose premise-form's instances are all logically true and whose conclusion form's instances are all logically false. The purpose of this paper is to show that there are many more kinds of (...) class='Hi'>argument-forms that make some of their instances invalid and that, hence, are counterexamples refuting the Asymmetry Thesis. (shrink)

In "Literary Forms of Argument in Early China," Gentz and Meyer explore a new analytical approach to the study of written thinking by focusing on the argumentative function of literary patterns in early Chinese texts.

I offer a meta-level analysis of realist arguments for the reliability of ampliative reasoning about the unobservable. We can distinguish form-driven and content-driven arguments for realism: form-driven arguments appeal to the form of inductive inferences, whilst content-driven arguments appeal to their specific content. After regimenting the realism debate in these terms, I will argue that the content-driven arguments are preferable. Along the way I will discuss how my analysis relates to John Norton’s recent, more general thesis that the grounds for (...) licit induction are always material. (shrink)

One main goal of argumentation theory is to evaluate arguments and to determine whether they should be accepted or rejected. When there is no clear answer, a third option, being undecided, has to be taken into account. Indecision is often not considered explicitly, but rather taken to be a collection of all unclear or troubling cases. However, current philosophy makes a strong point for taking indecision itself to be a proper object of consideration. This paper aims at revealing parallels between (...) the findings concerning indecision in philosophy and the treatment of indecision in argumentation theory. By investigating what philosophical forms and norms of indecision are involved in argumentation theory, we can improve our understanding of the different uncertain evidential situations in argumentation theory. (shrink)

The Quantified argument calculus (Quarc) has received a lot of attention recently as an interesting system of quantified logic which eschews the use of variables and unrestricted quantification, but nonetheless achieves results similar to the Predicate calculus (PC) by employing quantifiers applied directly to predicates instead. Despite this noted similarity, the issue of the relationship between Quarc and PC has so far not been definitively resolved. We address this question in the present paper, and then expand upon that result. (...) Utilizing recent developments in structural proof theory, we develop a G3-style sequent calculus for Quarc and briefly demonstrate its structural properties. We put these properties to use immediately to construct direct proofs of the meta-theoretical properties of the system. We then incorporate an abstract (and, as we shall see, logical) predicate into the system in a way that preserves all the structural properties. This allows us to identify a system of Quarc which is deductively equivalent to PC, and also yields a constructive method of demonstrating the Craig interpolation theorem (which speaks in favor of the aforementioned predicate being logical). We further generalize this extension to develop a bivalent system of Quarc with defining clauses that still maintains all the desirable properties of a good proof system. (shrink)

There are only two places in which Plato explicitly offers a critique of the sort of theory of forms presented in the Phaedo and Republic: at the beginning of the Parmenides and in the argument against the Friends of the Forms in the Sophist. An accurate account of the argument against the Friends, therefore, is crucial to a proper understanding of Plato’s metaphysics. How the argument against the Friends ought to be construed and what it (...) aims to accomplish, however, are matters of considerable controversy. My aim in this article is twofold. First, I show that the two readings of the argument against the Friends that dominate the contemporary literature – the “Cambridge Change” reading and the “Becoming-is-Being” reading – lack sufficient textual support. Second, I offer an alternative reading of the argument against the Friends that better explains both the text of 248a4–249d5 and the role the argument plays within the Stranger’s wider project of demonstrating that non-being is. My thesis is that the Stranger’s argument against the Friends seeks to demonstrate that the forms must be both at rest and moved, where “moved” has the sense of “affected.” To participate in a form is to be affected by that form. I argue that since, according to the Stranger, every form participates in some other forms, every form is “moved” in the sense that it is affected by the forms in which it participates. Likewise, I argue that every form is at rest in the sense that its unique nature remains unaffected by the other forms in which it participates. (shrink)

I offer a meta-level analysis of realist arguments for the reliability of ampliative reasoning about the unobservable. We can distinguish form-driven and content-driven arguments for realism: form-driven arguments appeal to the form of inductive inferences, whilst content-driven arguments appeal to their specific content. After regimenting the realism debate in these terms, I will argue that the content-driven arguments are preferable. Along the way I will discuss how my analysis relates to John Norton’s recent, more general thesis that the grounds for (...) licit induction are always material. (shrink)

Why did Plato put his philosophical arguments into dialogues, rather than presenting them in a plain and readily understandable fashion? A group of distinguished scholars here offer answers to this question by studying the relation between form and argument in his late dialogues. These penetrating studies show that the literary structure of the dialogues is of vital importance in the ongoing interpretation of Plato.

This argument map presents Paul Loewi’s crucial experiment in which he showed that neural transmissions of signals are chemical in nature, not electrical, in form of an argumentation. The map can be used in science education to show how the formulation of hypotheses should be related to a corresponding determination of experimental designs.

Literary Forms of Argument in Early China examines the functions of rhetorical markers and devices as well as the patterns and larger modes structuring various styles of early Chinese argumentation. The nine contributors to the volume each present tight analyses of specific compositional or literary aspects of persuasion, hoping to demonstrate how an unabashed focus on the formal elements of philosophical writing might come to the aid of, or even more drastically alter and transform, philosophical interpretation. The volume (...) includes essays by the following nine scholars, who are at once a mixture of philologists, textual and literary specialists, and intellectual historians: Rudolph Wagner, Andrew Plaks, David... (shrink)

According to standard trope nominalism, there are simple tropes that do not have parts or multiply distinct aspects. Douglas Ehring’s reductio ad absurdum against this standard view concludes that there are no simple tropes. In this paper, we provide a response to Ehring defending the standard view. Ehring’s argument may be refuted by (1) distinguishing the ontological form of tropes from their contribution to the ontological content of the world, and (2) construing tropes as having primitive identity. At the (...) same time, standard trope nominalism is elaborated on by distinguishing between ontological form and content, for which there are also independent reasons. (shrink)

Languages use predicates and arguments to express events and event participants. In order to establish generalizations concerning the variety languages show regarding the strategies for discerning some arguments from the others, the concept of roles—and, particularly, macroroles, mesoroles, and microroles—associated with participants provides a widely studied starting point. In this article, the formal properties in the arguments of a set of 14 verb meanings in Spanish Sign Language have been analyzed. Arguments have been studied by considering their microroles, and a (...) quantitative method for measuring distances from a plurality of properties has been adopted. The novelty of this analysis is that it focuses on how arguments group in terms of these properties. Subsequently, some generalizations justifying why some verb meanings have a tendency to associate with certain forms of argument expression are highlighted in this study. (shrink)

Allen Brent; Transcendental Arguments for the Forms of Knowledge, Journal of Philosophy of Education, Volume 16, Issue 2, 30 May 2006, Pages 265–274, https://do.

In this paper, we use concepts, structure and tools from argumentation theory to show how conversational implicatures are triggered by conflicts of presumptions. Presumptive implicatures are shown to be based on defeasible forms of inference used in conditions of lack of knowledge, including analogical reasoning, inference to the best explanation, practical reasoning, appeal to pity, and argument from cause. Such inferences are modelled as communicative strategies to knowledge gaps that shift the burden of providing the missing contrary evidence (...) to the other party in a dialogue. Through a series of illustrative examples, we show how such principles of inference are based on common knowledge about the ordinary course of events shared by participants in a structured dialogue setting in which they take turns putting forward and responding to speech acts. (shrink)

Our interpretation of the "parmenides" 132a1 - 132b2 has the following features. (i) it stresses that the third man argument is an infinite regress and (ii) notes its epistemological thrust. (iii) a faithful translation of the last line of the argument reads "and no longer will each of the forms be for you one but each is infinite in multitude." parmenides' point is that each form, which socrates believed to be complete (one), turns out to be an (...) unbounded, incompletable series of subforms useless for comprehending the unity of many particulars. (iv) related problems are seen to occupy plato in the "philebus" and in the "sophist". (shrink)

At the Third Congress of the Society for Ancient Philosophy, philologists and philosophers gave presentations about this point of intersection between philosophical argument and literary forms. This volume seeks to provide insight into the discussion as well as stimulate further thought.

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Form and Argument in Late Plato ed. by Christopher Gill and Mary Margaret McCabeFrancisco J. GonzalezChristopher Gill and Mary Margaret McCabe, editors. Form and Argument in Late Plato. Oxford: Oxford University Press, 1996. Pp. xi + 345. Cloth, $65.00.This collection has the commendable aim of challenging the view that in Plato’s “late” works the dialogue form is a mere formality adding little to the argumentative content, (...) a view still widespread among “analytic” scholars. The qualification is necessary because this view has already been seriously challenged by “nonanalytic” interpreters. It is therefore surprising that the editors chose contributors who almost all “share the analytic’ approach which is prominent in Anglo-American scholarship on Plato,” despite their admission that this approach has focused more on arguments than on the dialogue form (2, 299–300). Why seek to reinvent the wheel without the help of those who have already invented it? As a result, while the volume certainly makes an important contribution to our understanding of the form of this group of dialogues, it is much more successful in providing helpful and illuminating readings of their argumentative content: the detailed and rigorous analyses of McCabe, Malcolm Schofield (both on the Parmenides), and Gail Fine (on the Theaetetus) deserve special mention. The aim of the present review, which could not even begin to do justice to what the volume provides in the latter area, is therefore limited to documenting its mixed success in addressing some fundamental questions about form that have already occupied nonanalytic scholars (perhaps too exclusively):1) Does the main speaker speak for Plato?Given the great variety of main speakers in the “late” dialogues (Socrates, Parmenides, the Eleatic Stranger, Timaeus, the Athenian Stranger), each with a distinct personality and a distinct method, no attempt to understand the form of these dialogues should avoid this question. Gill raises it (293–95) and Schofield provides the most explicit response in denying that any interlocutor in a Platonic dialogue “can be assumed to be merely a spokesman for Plato’s own views” (51). More importantly, the essays by Dorothea Frede (on the Philebus) and Catherine Osborne (on the Timaeus), probably the most valuable in the volume, show what results can be achieved without this assumption. On the other hand, Michael Frede (on the Sophist) and Christopher Rowe (on the Politicus; see 158 and cf. 172 n.48) simply assume without argument that the Eleatic Stranger = Plato. All other contributors make the “spokesman” assumption, either implicitly or explicitly (see Christopher Bobonich’s reading of the Laws, 254–55).2) What is the significance of the dramatic context, especially dramatic chronology and characterization?As often noted, the Parmenides is set in Socrates’ youth and is in this sense the earliest [End Page 311] dialogue, while the series Theaetetus-Sophist-Politicus is set immediately before Socrates’ trial and condemnation. McCabe and Schofield are silent about the first fact. M. Frede briefly discusses the second (146–47), but adds little to what has already been said by others. As for the characterization of specific interlocutors, this volume overall has surprisingly little to offer. The essays of D. Frede and Osborne, however, are exemplary in this area.3) Why did Plato choose to write these works as dialogues rather than as treatises?Bobonich, D. Frede, and Osborne succeed in demonstrating the significance and even necessity of the dialogue form, an extraordinary achievement given the dialogues they discuss. Osborne in particular brilliantly shows how the dialogue form undercuts the common tendency to read the Timaeus as a treatise on natural science. Other contributors are less successful in answering this question central to the volume’s task. Schofield takes himself to be reading the Parmenides as a dialogue (51) because he, unlike Vlastos, interprets the Third Man Argument (second version) in the wider context of other arguments in the dialogue, including those of the second half. But “reading arguments in context” is demanded by any philosophical text and has nothing per se to do with the dialogue form. Fine reads the first part of the Theaetetus as the dialectical elaboration and refutation of an opponent’s view (109), but this could just as well be... (shrink)

In Metaphysics M.2, 1077a9-14, Aristotle appears to argue against the existence of Platonic Forms on the basis of there being certain universal mathematical proofs which are about things that are ‘beyond’ the ordinary objects of mathematics and that cannot be identified with any of these. It is a very effective argument against Platonism, because it provides a counter-example to the core Platonic idea that there are Forms in order to serve as the object of scientific knowledge: the (...) universal of which theorems of universal mathematics are proven in Greek mathematics is neither Quantity in general nor any of the specific quantities, but Quantity-of-type-x. This universal cannot be a Platonic Form, for it is dependent on the types of quantity over which the variable ranges. Since for both Plato and Aristotle the object of scientific knowledge is that F which explains why G holds, as shown in a ‘direct’ proof about an arbitrary F (they merely disagree about the ontological status of this arbitrary F, whether a Form or a particular used in so far as it is F), Plato cannot maintain that Forms must be there as objects of scientific knowledge - unless the mathematics is changed. (shrink)

One form of argument from analogy is identified and Stephen Barker's remarks about a second kind of argument from analogy, non-inductive (and non-deductive) argument from analogy, are used as a springboard to identify a second form. That form is then refined, explained, exemplified, and related to the first form. It is argued that there is a spectrum of different forms of argument from analogy, with the two forms identified being end points on the spectrum. (...) Except in terms of form, however, there is no reason to speak of two different kinds of argument from analogy. (shrink)

This essay argues that the Pyrrhonian regress argument presupposes a Prior Grounding conception of justification. This is contrasted with a Default and Challenge structure, which leads to a contextualist picture of justification. Contextualism is said to incorporate the best features of its traditionalist rivals — foundationalism and coherentism — and also to avoid skepticism. It is argued that we should not ask which conception is really true, but instead give up epistemological realism.

Today, texts are the centerpiece of intellectual life, and it is no different in philosophy. Thirty years ago, the subjects of the history of philosophy were the arguments of dead philosophers about perennial problems. Today, greater attention is paid to the texts that such figures wrote—why they wrote them, their genre, form, style, and how we now might read them. In analytic philosophy, this attention to form and its relation to meaning is revolutionary.

An argument has been recently proposed by Watkins, whose objective is to show the impossibility of a statistical explanation of single events. This present paper is an attempt to show that Watkins's argument is unsuccessful, and goes on to argue for an account of statistical explanation which has much in common with Hempel's classic treatment.

There is a certain form of philosophical argument that characteristically begins, "we have no reason to suppose that..." and goes on to deny some proposition we took to be well supported. The claim that there is no inductive argument takes the form: the sample on which such an argument would be based is taken from a special part of the population; but we have no reason to suppose that this special part of the population is not very (...) different from the population as a whole. This claim is refuted by offering a plausible conception of probability and randomness under which the inductive arguments would be undermined only if we had reason to believe that the sample and the population differed. (shrink)

James D Marshall, Michael Peters, Miles Shepheard; Brent's Transcendental Arguments for the Forms of Knowledge, Journal of Philosophy of Education, Volume 15, I.