My main objective in this paper is to formulate a view of pictorial realism I call ‘hypothetical verity’. It owes much to John Kulvicki but diverges from his view in an important respect: rather than thinking that realistic pictures are true to our conceptions of things, I hold that they are true to what things would be like if they existed. In addition, I agree with Dominic Lopes that different realisms reflect different aspects of reality, but restate the case without (...) recourse to symbol systems. Together, the twin principles of hypothetical verity and aspectival absolutism constitute a theory of realism able to account for realistic fictional entities, the problem of revelatory realism and images that teach new information. (shrink)

Is there an interesting relation between the Preface paradox and the Sorites paradox that might be used to illuminate either or both of those paradoxes and the phenomena of rationality and vagueness with which they, respectively, are bound up? In particular, if we consider the analogy alongside a familiar response to the Preface Paradox that employs degrees of belief, does this give any support to the thought that we should adopt some kind of degree-theoretic treatment of vagueness and the sorites? (...) This chapter argues that it does not; indeed exploring the disanalogies contributes to a case against such a treatment of vagueness more generally. Among other views, it considers Edgington’s account of vagueness that employs a probabilistic structure of “verities”. It then contends that appeal to the framework of supervaluationism yields a better guide to reasoning in vague language than the degree-theoretic treatment can sustain. (shrink)

This article investigates the claim that some truths are fundamentally or really true — and that other truths are not. Such a distinction can help us reconcile radically minimal metaphysical views with the verities of common sense. I develop an understanding of the distinction whereby Fundamentality is not itself a metaphysical distinction, but rather a device that must be presupposed to express metaphysical distinctions. Drawing on recent work by Rayo on anti-Quinean theories of ontological commitments, I formulate a rigourous (...) theory of the notion. In the final sections, I show how this package dovetails with ' interpretationist' theories of meaning to give sober content to thought that some things — perhaps sets, or gerrymandered mereological sums — can be 'postulated into existence'. (shrink)

Contributors in the order of contributions: David Ebrey, Richard Kraut, T. H. Irwin, Leonard Brandwood, Eric Brown, Agnes Callard, Gail Fine, Suzanne Obdrzalek, Gábor Betegh, Elizabeth Asmis, Henry Mendell, Constance C. Meinwald, Michael Frede, Emily Fletcher, Verity Harte, Rachana Kamtekar, and Rachel Singpurwalla. -/- The first edition of the Cambridge Companion to Plato (1992), edited by Richard Kraut, shaped scholarly research and guided new students for thirty years. This new edition introduces students to fresh approaches to Platonic dialogues while advancing (...) the next generation of research. Of its seventeen chapters, nine are entirely new, written by a new generation of scholars. Six others have been thoroughly revised and updated by their original authors. The volume covers the full range of Plato's interests, including ethics, political philosophy, epistemology, metaphysics, aesthetics, religion, mathematics, and psychology. Plato's dialogues are approached as unified works and considered within their intellectual context, and the revised introduction suggests a way of reading the dialogues that attends to the differences between them while also tracing their interrelations. The result is a rich and wide-ranging volume which will be valuable for all students and scholars of Plato. (shrink)

It may be a myth that Plato wrote over the entrance to the Academy “Let no-one ignorant of geometry enter here.” But it is a well-chosen motto for his view in the Republic that mathematical training is especially productive of understanding in abstract realms, notably ethics. That view is sound and we should return to it. Ethical theory has been bedevilled by the idea that ethics is fundamentally about actions (right and wrong, rights, duties, virtues, dilemmas and so on). That (...) is an error like the one Plato mentions of thinking mathematics is about actions (of adding, constructing, extracting roots and so on). Mathematics is about eternal relations between universals, such as the ratio of the diagonal of a square to the side. Ethics too is about eternal verities, such as the equal worth of persons and just distributions. Mathematical and ethical verities do both constrain actions, such as the possibility of walking over the seven bridges of Königsberg once and once only or of justly discriminating between races. But they are not themselves about action. In principle, neither mathematical nor ethical verities are subject to historical forces or disagreement among tribes (though they can be better understood as time goes on). Plato is right: immersion in mathematics induces an understanding of the necessities underpinning reality, an understanding that is essential for distinguishing objective ethics from tribal custom. Equality, for example, is an abstract concept which is foundational for both mathematics and ethics. (shrink)

Girolamo Saccheri (1667--1733) was an Italian Jesuit priest, scholastic philosopher, and mathematician. He earned a permanent place in the history of mathematics by discovering and rigorously deducing an elaborate chain of consequences of an axiom-set for what is now known as hyperbolic (or Lobachevskian) plane geometry. Reviewer's remarks: (1) On two pages of this book Saccheri refers to his previous and equally original book Logica demonstrativa (Turin, 1697) to which 14 of the 16 pages of the editor's "Introduction" are devoted. (...) At the time of the first edition, 1920, the editor was apparently not acquainted with the secondary literature on Logica demonstrativa which continued to grow in the period preceding the second edition \ref[see D. J. Struik, in Dictionary of scientific biography, Vol. 12, 55--57, Scribner's, New York, 1975]. Of special interest in this connection is a series of three articles by A. F. Emch [Scripta Math. 3 (1935), 51--60; Zbl 10, 386; ibid. 3 (1935), 143--152; Zbl 11, 193; ibid. 3 (1935), 221--333; Zbl 12, 98]. (2) It seems curious that modern writers believe that demonstration of the "nondeducibility" of the parallel postulate vindicates Euclid whereas at first Saccheri seems to have thought that demonstration of its "deducibility" is what would vindicate Euclid. Saccheri is perfectly clear in his commitment to the ancient (and now discredited) view that it is wrong to take as an "axiom" a proposition which is not a "primal verity", which is not "known through itself". So it would seem that Saccheri should think that he was convicting Euclid of error by deducing the parallel postulate. The resolution of this confusion is that Saccheri thought that he had proved, not merely that the parallel postulate was true, but that it was a "primal verity" and, thus, that Euclid was correct in taking it as an "axiom". As implausible as this claim about Saccheri may seem, the passage on p. 237, lines 3--15, seems to admit of no other interpretation. Indeed, Emch takes it this way. (3) As has been noted by many others, Saccheri was fascinated, if not obsessed, by what may be called "reflexive indirect deductions", indirect deductions which show that a conclusion follows from given premises by a chain of reasoning beginning with the given premises augmented by the denial of the desired conclusion and ending with the conclusion itself. It is obvious, of course, that this is simply a species of ordinary indirect deduction; a conclusion follows from given premises if a contradiction is deducible from those given premises augmented by the denial of the conclusion---and it is immaterial whether the contradiction involves one of the premises, the denial of the conclusion, or even, as often happens, intermediate propositions distinct from the given premises and the denial of the conclusion. Saccheri seemed to think that a proposition proved in this way was deduced from its own denial and, thus, that its denial was self-contradictory (p. 207). Inference from this mistake to the idea that propositions proved in this way are "primal verities" would involve yet another confusion. The reviewer gratefully acknowledges extensive communication with his former doctoral students J. Gasser and M. Scanlan. ADDED 14 March 14, 2015: (1) Wikipedia reports that many of Saccheri's ideas have a precedent in the 11th Century Persian polymath Omar Khayyám's Discussion of Difficulties in Euclid, a fact ignored in most Western sources until recently. It is unclear whether Saccheri had access to this work in translation, or developed his ideas independently. (2) This book is another exemplification of the huge difference between indirect deduction and indirect reduction. Indirect deduction requires making an assumption that is inconsistent with the premises previously adopted. This means that the reasoner must perform a certain mental act of assuming a certain proposition. It case the premises are all known truths, indirect deduction—which would then be indirect proof—requires the reasoner to assume a falsehood. This fact has been noted by several prominent mathematicians including Hardy, Hilbert, and Tarski. Indirect reduction requires no new assumption. Indirect reduction is simply a transformation of an argument in one form into another argument in a different form. In an indirect reduction one proposition in the old premise set is replaced by the contradictory opposite of the old conclusion and the new conclusion becomes the contradictory opposite of the replaced premise. Roughly and schematically, P,Q/R becomes P,~R/~Q or ~R, Q/~P. Saccheri’s work involved indirect deduction not indirect reduction. (3) The distinction between indirect deduction and indirect reduction has largely slipped through the cracks, the cracks between medieval-oriented logic and modern-oriented logic. The medievalists have a heavy investment in reduction and, though they have heard of deduction, they think that deduction is a form of reduction, or vice versa, or in some cases they think that the word ‘deduction’ is the modern way of referring to reduction. The modernists have no interest in reduction, i.e. in the process of transforming one argument into another having exactly the same number of premises. Modern logicians, like Aristotle, are concerned with deducing a single proposition from a set of propositions. Some focus on deducing a single proposition from the null set—something difficult to relate to reduction. (shrink)

As Leibniz points out in the Méditation sur la notion commune de la jus tice, justice—defined as charity of the wise and universal benevolence—belongs “to the necessary and eternal truths about the nature of things, as numbers and proportions.” According to the interpretation of Patrick Riley, from this perspective the two manuscripts usually regarded as belonging to the Méditation should be seen as complementary parts of a unitary Platonizing work. According to Riley, the manuscript that now constitutes the first part (...) of the Méditation is concerned with definitions of ethical concepts viewed as “quasi-mathematical, demonstrable ‘eternal verities’”, whereas the manuscript that now constitutes the second part of the Méditation is concerned “with Platonic ‘ascent’, in the manner of Phaedrus and Symposium,” which recommends the transition from mere negative forbearance from harm to doing positive good. In formulating these claims, Riley uses scare quotes to indicate that he uses the terms “eternal verities” and “ascent” in an unusual way that diverges from the views of the historical Plato. According to his interpretation, Leibniz’s modifications of Platonism are restricted to peripheral parts such as the doctrine of the pre-existence of the soul or Pythagorean components such as the doctrine of metempsychosis. Therefore, Riley claims that when Leibniz is talking about knowing eternal truths, what he has in mind is literally the view that we know the same truths as the truths that the gods know and love but do not cause or change. (shrink)

Uniformity in human actions and attitudes incumbent with the ceteris paribus clause of folk psychology lucidly transits moral thoughts into the domain of subject versus object-centric explorations. In Zettel, Wittgenstein argues, “Concepts with fixed limits would demand uniformity of behaviour, but where I am certain, someone else is uncertain. And that is the fact of nature.” (Wittgenstein 2007, 68). Reflecting on the moral principle of “ethical giving” revives a novel stance in modern moral philosophy. An “ethical giving” is a moral (...) position that looks at giving from the context of harmonizing the changing demands of situations with normative ethical principles. Despite giving more prominence to the query of intuition, the chapter brings up the justification of normative moral principles pertaining to their applications and purports. Human activities aimed at decision-making goals conducted by the moral compass are nothing but the sanction of certain ethical norms and rules. In this context, two principles, the normative aspect and the perspective aspect need to be expounded in parallel. The perspective-based principle seeks practical guides to action, whereas the normative aspect principle looks for the concrete moral justification behind it. Normatively based moral decisions hinge on the probabilities and interests of agents that can sometimes lead towards a better choice. Thomas Nagel’s thought sounds more appealing, since his idea of practical conflict bends towards “...conflict between values which are incomparable for reasons apart from uncertainty about the facts.” (Nagel 2013, 128). Positions on moral personality and equality of justice collide with the conception of verities of the agents’ reason that cogitate a minimal aspect on the morally significant properties (range properties), which can hardly be possessed by all human beings equally. This argument sounds reasonable in light of Singer’s thought of “the principle of equal consideration of interests.” (Singer 2003, 21–22) The concern of this section is deliberative about how an agent could balance the demand of moral situations and the spirit of the moral principle devoid of being close to the relative truth. The conception of the moral decision remains capricious in line with the agent’s mood, time, and situation. The germane queries are: (a) How could one get the simpliciter of moral balance in “ethical giving” or offering help to the poor, orphans, and so on, who need helps from the agents and society? (b) Can we find any universalized principle in defense of ethical giving? (shrink)

In developing a theory of truth, as the main condition of knowledge, four issues are usually examined: definition or analysis of truth, truth bearer, truth-maker, and relation (in correspondence and coherence theories). A proper theory of truth is the one that affords the explanation of the truth of all types of propositions, and, at the same time, resists the liar paradox. The aim of this inquiry is to analyze Nasīr al-Dīn al-Tūsī’s theory of truth one who is involved both in (...) the liar paradox and in the explanation of the truth of the verity propositions and propositions that are made of intelligibles that have no instance in external world. This inquiry shows, with an analytical approach mostly systematic analysis, that he regards, against the difficulty of the lair paradox, propositions that are other than what they are about as the bearers of truth. Further, it shows that he, against the other difficulty, has two attitudes: first, he desists from the correspondence theory of truth and defines it as “ascription of an ideational thing to what, with its characteristic, is proper for it”; second, he considers the agent intellect to be the truth-maker. Although he regards the correspondence relation as an intentional relation, he does not discuss it much. One explanation could be that the issue of the correspondence relation does not play a serious part in the aforementioned difficulties. (shrink)

A CONSTRUCTIVE CRITIQUE OF THE FOUNDATIONS OF PHILOSOPHY: Abstract of the Ph.D. Dissertation By Ramesh N. Patel June, 1970 -/- Philosophy pursues a rational explication of our understanding, experiences, and values in terms of objective truth and reality. Conspicuously, its view of rationality has been rigid and preconceived. Application of the preconceived reason in the explication of the essential features of our world fails and issues in a network of dialectical tangles. These artificially created tangles pose a unique intellectual challenge, (...) but the perennial failure to resolve them limits the intellectual response of philosophers to remaining caught in the tangles, or to taking intuitively favorable sides, or to simply denouncing the tangles as meaningless. Each is understandable. -/- Superficially, traditional philosophical reason looks like a correct tool for the explication of our world of common sense, but its applications to the world result in logical tangles showing its inadequacy. The philosopher’s faith in such reason ends up in one of two positions: abandoning our world in the interests of such reason, or embodying itself in the world through a special form of reason. Plato took the first and Aristotle took the second position. My analysis shows that Plato failed to explicate the relation between his world of Forms and our world of particulars, and, more importantly, between the Forms and the intuitive reason which grasps them. Aristotle, in my analysis, cannot conceal that the law of noncontradiction is a mere exhortation and has no descriptive necessity with respect to thought, things, or meaning. We also find such dialectical difficulties in Augustine, Hume and Strawson. -/- “Microphilosophical feasibilism” is our proposal for the best treatment, if not the definitive solution, of these problems. Instead of separating philosophical method into logic, epistemology, axiology, and metaphysics on the one side, and partitioning the projected results of philosophizing into validity, truth, valuation, and reality on the other, we need to start philosophizing with a general distinction between “method employed” and “intended result.” This distinction is not pre-colored by claims to ultimate verities. It is a direct aid to understanding. I consider the basic inevitable paradox that a philosopher should explain not only our understanding of experience but also his philosophizing itself. The circularity between “method employed” and “intended result” needs to be admitted as an initial fact about reason rather than circumvented by an implausibly claimed capacity of philosophical reason to formally transcend everything including this circularity. -/- Presuppositions are reduced to a minimum inevitable number. Being our primary microphilosophical criteria, they are reason, experience, and value in their minimal sense. They cannot be plausibly substituted or further reduced. They cannot be preferred one or more to others arbitrarily. We show how, in microphilosophy they coincide or synchronize. Jointly and basically, they form the minimum method employed. The initial, basic, intended result is called minimum feasibility. The fundamental circularity between method and result leaves no way out but to ground self-reference in such a manner that method and result “logico-genetically” coincide. Two extreme situations are avoided: “the logical zero-situation” where nothing is true or real, and “the credulous open situation” where everything is true or real. Finding a mean manifests a basic value. If the meaning of truth and reality is to be preserved, the basic value must have a clear impact and express descriptive rather than revisionary reason. -/- Several other stringent demands are raised as conditions which microphilosophy should fulfil to achieve feasibility. The final, joint, outcome of both “method” and “result,” in the thesis of microphilosophical feasibilism, is formulated thus: Self refers freely and symbolically to itself, own person, own body, material bodies, other persons’ bodies, other persons, and other selves. -/- Ramesh N. Patel Doctor of Philosophy in Philosophy conferred in June, 1970 University of New Mexico, Albuquerque, N.M. (shrink)

Flew strongly defends a compatibilist thesis in the free will debate before going on to totally object to theistic libertarianism. His objections basically rely on his compatibilism embracing the notion of agent causation, which is not very common in compatibilist theses. Since he is a strong proponent of ordinary language philosophy, he also holds that linguistic analyses can certainly solve the free will problem as well as many other problems of philosophy. In doing so, he first uses the paradigm cases (...) based on our common sense experience and then assumes the verity of principle of alternative possibilities. This study attempts to show, on the one hand, that there are some serious difficulties in both his justification of compatibilism and his objections to theistic libertarianism, and on the other hand, that he cannot easily defend both at the same time. (shrink)