An Aristotelian Philosophy of Mathematics breaks the impasse between Platonist and nominalist views of mathematics. Neither a study of abstract objects nor a mere language or logic, mathematics is a science of real aspects of the world as much as biology is. For the first time, a philosophy of mathematics puts applied mathematics at the centre. Quantitative aspects of the world such as ratios of heights, and structural ones such as symmetry and continuity, are parts of the physical world (...) and are objects of mathematics. Though some mathematical structures such as infinities may be too big to be realized in fact, all of them are capable of being realized. Informed by the author's background in both philosophy and mathematics, but keeping to simple examples, the book shows how infant perception of patterns is extended by visualization and proof to the vast edifice of modern pure and applied mathematical knowledge. (shrink)

Aristotelian, or non-Platonist, realism holds that mathematics is a science of the real world, just as much as biology or sociology are. Where biology studies living things and sociology studies human social relations, mathematics studies the quantitative or structural aspects of things, such as ratios, or patterns, or complexity, or numerosity, or symmetry. Let us start with an example, as Aristotelians always prefer, an example that introduces the essential themes of the Aristotelian view of mathematics. A typical (...) mathematical truth is that there are six different pairs in four objects: Figure 1. There are 6 different pairs in 4 objects The objects may be of any kind, physical, mental or abstract. The mathematical statement does not refer to any properties of the objects, but only to patterning of the parts in the complex of the four objects. If that seems to us less a solid truth about the real world than the causation of flu by viruses, that may be simply due to our blindness about relations, or tendency to regard them as somehow less real than things and properties. But relations (for example, relations of equality between parts of a structure) are as real as colours or causes. (shrink)

In An Aristotelian Realist Philosophy of Mathematics Franklin develops a tantalizing alternative to Platonist and nominalist approaches by arguing that at least some mathematical universals exist in the physical realm and are knowable through ordinary methods of access to physical reality. By offering a third option that lies between these extreme all-or-nothing approaches and by rejecting the ‘dichotomy of objects into abstract and concrete’, Franklin provides potential solutions to many of these traditional problems and opens up a whole new (...) terrain for debate in the philosophy of mathematics. (shrink)

There is a wide range of realist but non-Platonist philosophies of mathematics—naturalist or Aristotelian realisms. Held by Aristotle and Mill, they played little part in twentieth century philosophy of mathematics but have been revived recently. They assimilate mathematics to the rest of science. They hold that mathematics is the science of X, where X is some observable feature of the (physical or other non-abstract) world. Choices for X include quantity, structure, pattern, complexity, relations. The article lays out and compares (...) these options, including their accounts of what X is, the examples supporting each theory, and the reasons for identifying the science of X with (most or all of) mathematics. Some comparison of the options is undertaken, but the main aim is to display the spectrum of viable alternatives to Platonism and nominalism. It is explained how these views answer Frege’s widely accepted argument that arithmetic cannot be about real features of the physical world, and arguments that such mathematical objects as large infinities and perfect geometrical figures cannot be physically realized. (shrink)

This paper is a book review of "An Aristotelian Realist Philosophy of Mathematics: Mathematics as the Science of Quantity and Structure" by James Franklin.

James Franklin aspires to a realist view of mathematical objects as concrete, rather than abstract, objects. It is shown that he fails to carry out his program but is forced to revert to Platonism.

Review of James Franklin: An Aristotelian Realist Philosophy of Mathematics: Mathematics as the Science of Quantity and Structure, Palgrave Macmillan, 2014, x + 308 pp.

In a series of influential essays, Sharon Street has argued, on the basis of Darwinian considerations, that normative realism leads to skepticism about moral knowledge. I argue that if we begin with the account of moral knowledge provided by Aristotelian naturalism, then we can offer a satisfactory realist response to Street’s argument, and that Aristotelian naturalism can avoid challenges facing other realist responses. I first explain Street’s evolutionary argument and three of the most prominent realist responses, and (...) I identify challenges to each of those responses. I then develop an Aristotelian response to Street. My core claim is this: Given Aristotelian naturalism’s account of moral truth and our knowledge of it, we can accept the influence of evolutionary processes on our moral beliefs, while also providing a principled, non-question-begging reason for thinking that those basic evaluative tendencies that evolution has left us with will push us toward, rather than away from, realist moral truths, so that our reliably getting things right does not require an unexplained and implausible coincidence. (shrink)

This rich book differs from much contemporary philosophy of mathematics in the author’s witty, down to earth style, and his extensive experience as a working mathematician. It accords with the field in focusing on whether mathematical entities are real. Franklin holds that recent discussion of this has oscillated between various forms of Platonism, and various forms of nominalism. He denies nominalism by holding that universals exist and denies Platonism by holding that they are concrete, not abstract - looking to Aristotle (...) for inspiration. (shrink)

Rom Harré's generative account of causality has been drawn on heavily by advocates of critical realism. Yet Harré argues that critical realists often exaggerate the extent to which powerful causal explanations of social phenomena can be developed. Certain proponents of critical realism have responded to Harré's criticisms by suggesting that it is useful to consider the relevant issues in relation to the familiar Aristotelian classification of four causes. In this paper I contribute to this debate and pursue (...) a similar strategy. The paper adds to existing contributions in two ways. Firstly, I outline how Harré sees his generative account of causality as linking up with Aristotelian themes. It emerges that Harré at times conceives of his generative theory as part of an alternative to the Aristotelian system while at other times he draws connections between it and a reformulated account of formal causality. Secondly, I argue that when we consider the positions of Harré and proponents of critical realism on the scope of causal explanation in the social realm in relation to the interpretation of final causes offered by another philosopher profoundly influenced by the Aristotelian tradition, namely Charles Peirce, we can see both as limited in certain respects. (shrink)

In this paper I criticize political realism in International Relations for not being realistic enough, for being unrealistically pessimistic and ultimately incoherent. For them the international arena will always be a place where a battle of wills, informed by the logic of power, is fought. I grant that it may be true that the international political domain is a place where such battles are fought, but this alleged infelicitous situation does not in and of itself entail the normative pessimism (...) informing their assessments of the international domain, and it does not entail the recommendations offered by political realists, particularly relating to balance of power concerns. Their lack of realism stems from total or partial blindness to the proper and coherent ideals that ought to be informing their analyses of the international domain. Such blindness does not allow them properly to grasp what actually is the case. As we can only properly understand what an eye is by knowing the ideal that defines eyes — proper vision — so too we can only properly identify the movements of the international political arena in relation to ideals that ultimately define this arena, ideals that stem from a proper understanding of the human person. Following an Aristotelian teleological technique of analysis, I show that ideals are a constitutive part of the international domain and I recommend an alternative to political realism, namely, realistic idealism (or, if you prefer, idealistic realism). (shrink)

In this paper I criticize political realism in International Relations for not being realistic enough, for being unrealistically pessimistic and ultimately incoherent. For them the international arena will always be a place where a battle of wills, informed by the logic of power, is fought. I grant that it may be true that the international political domain is a place where such battles are fought, but this alleged infelicitous situation does not in and of itself entail the normative pessimism (...) informing their assessments of the international domain, and it does not entail the recommendations offered by political realists, particularly relating to balance of power concerns. Their lack of realism stems from total or partial blindness to the proper and coherent ideals that ought to be informing their analyses of the international domain. Such blindness does not allow them properly to grasp what actually is the case. As we can only properly understand what an eye is by knowing the ideal that defines eyes — proper vision — so too we can only properly identify the movements of the international political arena in relation to ideals that ultimately define this arena, ideals that stem from a proper understanding of the human person. Following an Aristotelian teleological technique of analysis, I show that ideals are a constitutive part of the international domain and I recommend an alternative to political realism, namely, realistic idealism. (shrink)

We argue that if one wishes to be a realist, one should adopt a Neo-Aristotelian ontology involving tropes instead of a Russellian ontology of property universals and objects. Either Russellian realists should adopt the relata-specific relational tropes of instantiation instead of facts, or convert to Neo-Aristotelian realism with monadic tropes. Regarding Neo-Aristotelian realism, we have two novel points why it fares better than Russellian realism. Instantiation of property universals by tropes and characterization or inherence (...) between tropes and objects are more transparent ontological notions than relational inherence, which is assumed in Russellian realism with the relational tropes of instantiation. Neo-Aristotelian realism makes better sense about abstract universals, which are a more viable option than concrete universals. (shrink)

This discussion is grounded in Aristotelian–Thomistic realism and takes the position that nursing is a practical science. As an exposition of the title statement, distinctions are made between opinion and truth, and the speculative, productive and practical sciences. Sources of opinion and truth are described and a discussion follows that truth can be achieved through knowing principles and causes of the natural kind behind phenomena. It is proposed that humans are the natural kind behind nursing phenomena. Thus, human (...) nature provides proper principles (the truth) of nursing practice. (shrink)

This paper addresses the question of why democracy is desirable in terms of a relational theory of democracy. The theory draws on concepts from Aristotelian, critical realist, and psychoanalytic th...

This discussion is grounded in Aristotelian–Thomistic realism and takes the position that nursing is a practical science. As an exposition of the title statement, distinctions are made between opinion and truth, and the speculative, productive and practical sciences. Sources of opinion and truth are described and a discussion follows that truth can be achieved through knowing principles and causes of the natural kind behind phenomena. It is proposed that humans are the natural kind behind nursing phenomena. Thus, human (...) nature provides proper principles (the truth) of nursing practice. (shrink)

The volume brings together for the first time original essays by leading philosophers working on powers in relation to metaphysics, philosophy of natural and social science, philosophy of mind and action, epistemology, ethics and social and political philosophy. In each area, the concern is to show how a commitment to real causal powers affects discussion at the level in question. In metaphysics, for example, realism about powers is now recognized as providing an alternative to orthodox accounts of causation, modality, (...) properties and laws. Dispositional realist philosophers of science, meanwhile, argue that a powers ontology allows for a proper account of the nature of scientific explanation. In the philosophy of mind there is the suggestion that agency is best understood in terms of the distinctive powers of human beings. Those who take virtue theoretic approaches in epistemology and ethics have long been interested in the powers that allow for knowledge and/or moral excellence. In social and political philosophy, finally, powers theorists are interested in the powers of sociological phenomena such as collectivities, institutions, roles and/or social relations, but also in the conditions of possibility for the cultivation of the powers of individuals. The book will be of interest to philosophers working in any of these areas, as well as to historians of philosophy, political theorists and critical realists. (shrink)

ABSTRACTFaced with the marketization of Higher Education in England, pedagogy is under pressure in ways that often undermine lecturers’ deeply held values. For instance, this pressure results in the reduction of significant aspects of teaching to narrow metrics and requires universities to operate within intrusive structures that subordinate their pedagogical aims to profit-orientated objectives. In this paper, I analyse the way that people can preserve their agency in this pedagogical context. I guide my analysis with a framework that combines critical (...) realism with Aristotelian virtue ethics and MacIntyre’s ideas of qualities within human practices. I suggest the kinds of qualities that might assist faculty to preserve and advance rich pedagogical projects in the current circumstances. Finally, I use a critical realist morphogenetic approach to argue that people may be able to resist losing their way when faced with ubiquitous performativity regimes. (shrink)

Despite the Aristotelian renaissance in the philosophy of education, the development of virtue has not received much attention. This is unfortunate, because an attempt to draft an Aristotelian model of moral development can help philosophers to evaluate the contribution Aristotelian virtue ethics can make to our understanding of moral development, provide psychologists with a potentially richer account of morality and its development, and help educators to understand the developmental phase people are in. In the article, it is (...) argued that the Aristotelian categories of the ‘morally indifferent’, ‘un-self-controlled’, ‘self-controlled’ and ‘properly virtuous’ can be interpreted as the successive stages or levels of a comprehensive developmental model. For each stage, it will be made clear whether people are committed to virtue, whether they act virtuously or not, whether they act with pleasure or pain, and which desires and reasons they have for acting. The article closes with suggestions about what needs to be done if the proposed Aristotelian account of moral development is to become psychologically more realistic and educationally useful. (shrink)

Quine’s desert is generally contrasted with Meinong’s jungle, as a sober ontological alternative to the exuberant luxuriance that comes with the latter. Here I focus instead on the desert as a sober metaphysical alternative to the Aristotelian garden, with its tidily organized varieties of flora and fauna neatly governed by fundamental laws that reflect the essence of things and the way they can be, or the way they must be. In the desert there are no “natural joints”; all the (...) boundaries we find are lines we have drawn, artificial fencings that merely reflect of our own demarcations, our classifications, our desperate need to ward off the flux and meet an excusable but ungrounded demand for order and stability. The desert returns a picture of reality that is radically anti-realist. And yet the picture does not amount to a form of irrealism. The desert is out there and is what it is regardless of how we feel. And it is not completely structureless. It’s just that the structure it has is very thin and does not correspond to the sort of structure that so-called metaphysical realists—and scientific realists alike—tend to attribute to it. (shrink)

The volume brings together for the first time original essays by leading philosophers working on powers in relation to metaphysics, philosophy of natural and social science, philosophy of mind and action, epistemology, ethics and social and political philosophy. In each area, the concern is to show how a commitment to real causal powers affects discussion at the level in question. In metaphysics, for example, realism about powers is now recognized as providing an alternative to orthodox accounts of causation, modality, (...) properties and laws. Dispositional realist philosophers of science, meanwhile, argue that a powers ontology allows for a proper account of the nature of scientific explanation. In the philosophy of mind there is the suggestion that agency is best understood in terms of the distinctive powers of human beings. Those who take virtue theoretic approaches in epistemology and ethics have long been interested in the powers that allow for knowledge and/or moral excellence. In social and political philosophy, finally, powers theorists are interested in the powers of sociological phenomena such as collectivities, institutions, roles and/or social relations, but also in the conditions of possibility for the cultivation of the powers of individuals. The book will be of interest to philosophers working in any of these areas, as well as to historians of philosophy, political theorists and critical realists. (shrink)

Recent virtue theorists in psychology implicitly assume the truth of motivational internalism, and this assumption restricts the force and scope of the message that they venture to offer as scientists. I aim to contrive a way out of their impasse by arguing for a version of Aristotelian motivational externalism and suggesting why these psychologists should adopt it. There is a more general problem, however. Although motivational externalism has strong intuitive appeal, at least for moral realists and ‘Humeans’ about motivation, (...) it continues to be threatened by Smith’s fetishisation argument and burdened by the inability of its familiar counter-examples to internalism (of the immoral, wicked, listless and amoral persons) to bear full scrutiny. I argue that Aristotle’s example of the continent person (as distinct from the fully virtuous) offers a more persuasive counter-example to internalism. The moral judgements of continent persons do not motivate them intrinsically, yet the continent cannot be counted as practically irrational with regard to morality. If Aristotelian motivational externalism holds true, psychologists can offer full-fledged theories of virtue without the danger of turning the science of psychology into a prescriptive moralism. (shrink)

John Haldane; Theory, Realism and Common Sense: A reply to Paul Churchland.1, Proceedings of the Aristotelian Society, Volume 93, Issue 1, 1 June 1993, Pages 32.

In this original study, Jonathan Jacobs provides a new account of ethical realism that combines both abstract meta-ethical issues defining the debate on realism and concrete topics in moral psychology. Jacobs argues that practical reasoners can both understand the ethical significance of facts and be motivated to act by that understanding. In that sense, objective considerations are prescriptive. In his discussion of the theory of practical realism, he extends themes and claims originating in Aristotelian ethics while (...) engaging with the most important contemporary literature. Arguing that desire and reason can agree on what is good, Jacobs explains how good action is naturally pleasing to the agent. In acting well, the agent affirms certain values and enjoys doing so. Jacobs grounds his explanation of ethical value in detailed explorations of the moral psychology of self-love, friendship, and respect. Students and scholars of philosophy will be intrigued by this integrated account of meta-ethics, practical reason, and moral psychology. (shrink)

Hilary Putnam; X*—What Is “Realism”?, Proceedings of the Aristotelian Society, Volume 76, Issue 1, 1 June 1976, Pages 177–194, https://doi.org/10.1093/aristotel.

In this paper I present a transcendental argument based on the findings of cognitive psychology and neurophysiology which invites two conclusions: First and foremost, that a pre-condition of visual perception itself is precisely what the Aristotelian and other commonsense realists maintain, namely, the independent existence of a featured, or pre-packaged world; second, this finding, combined with other reflections, suggests that, contra McDowell and other neo-Kantians, human beings have access to things as they are in the world via non-projective perception. (...) These two conclusions taken together form the basis of Aristotelian metaphysical realism and a refutation of the neo-Kantian two-factor approach to perception. (shrink)

A problem for Aristotelian realist accounts of universals (neither Platonist nor nominalist) is the status of those universals that happen not to be realised in the physical (or any other) world. They perhaps include uninstantiated shades of blue and huge infinite cardinals. Should they be altogether excluded (as in D.M. Armstrong's theory of universals) or accorded some sort of reality? Surely truths about ratios are true even of ratios that are too big to be instantiated - what is the (...) truthmaker of such truths? It is argued that Aristotelianism can answer the question, but only a semi-Platonist form of it. (shrink)

Alston begins his exposition of the realist conception of truth in chapter 1 with a roughly Aristotelian formulation: “A statement is true if and only if what the statement says to be the case actually is the case”. This condition has the drawback that it defines truth via illocutionary acts; yet, as Alston argues, propositions are the most basic truth-bearers. Alston therefore turns to the universalized T-schema for a condition that characterizes the truth of propositions without mentioning illocutionary acts: (...) “ The proposition that p is true iff p”, where “” is a substitutional rather than objectual quantifier over propositions. Later Alston avers that this account of truth is equivalent to another that is overtly realist in characterizing truth in terms of facts, a minimalist correspondence theory: “ The proposition that p is true iff it is a fact that p”. (shrink)

Current biological sciences standardly ascribe proper functions to biological parts, traits and mechanisms. In addition, realism about proper functions has an important space within the ongoing debate in philosophy of biology. Functional ascriptions are often conceived of as tracking objective, observer-independent higher-level features of the inquired object, rather than merely depending on a methodological, descriptive or epistemic attitude. In this paper, I argue for a realist account of proper bio-functions based on standard causal explanations of an organism’s behaviour: such (...) explanations are most intelligible if the autonomy of special sciences rests on the ontological and causal autonomy of their respective objects. I take into consideration the Aristotelian theoretical framework on teleological causation and reconstruct his arguments against his reductionist rivals. Finally, I consider the recent revival of Emergentism and try to establish to what extent the Neo-emergentist framework fits with the Aristotelian model, which I show to be partially valid also within an evolutionist view. (shrink)

Roderick Chisholm has been for many years one of the most important and influential philosophers contributing to metaphysics, philosophy of mind, and epistemology. This book can be viewed as a summation of his views on an enormous range of topics in metaphysics and epistemology. Yet it is written in the terse, lucid, unpretentious style that has become a hallmark of Chisholm's work. The book is an original treatise designed to defend an original, non-Aristotelian theory of categories. Chisholm argues that (...) there are necessary things and contingent things; necessary things being things that are not capable of coming into being or passing away. He defends the argument from design, and thus includes the category of necessary substance (God). Further contentions of the essay are that attributes are also necessary beings, but not necessary substances, and that human beings are contingent substances but may not be material substances. (shrink)

The most basic divide amongst analytic metaphysicians separates realists from anti-realists. By examining certain characteristic and problematic features of these two families of views, we uncover their underlying metametaphysicalorientations, which turn out to coincide. This shared philosophical picture that underlies both the realist and the anti-realist project we call the Modern Picture. It rests on a crucial distinction between reality as it is for us and reality as it is in itself. It is argued that this distinction indeed generates the (...) realism/anti-realism dichotomy, and is also responsible for the problematic aspects highlighted earlier. We conclude by sketching an alternative philosophical picture that rejects the distinction between reality as it is for us and reality as it is in itself, which we call the Aristotelian Picture, and consider whether it is able to avoid the issues to which the Modern Picture gives rise. (shrink)

The central challenge for the temporal realist is providing a coherent analysis of temporal passage, the apparent ‘flow’ of time from earlier to later. I show here how the account of time Aristotle presents in Physics IV could serve as a basis for just such an analysis, for his view is immune to the standard stock of objections levelled by twentieth century philosophers. And although his account is itself subject to a damning objection, I believe that the troublemaking element might (...) be supplanted by alternative views suited to fulfil the requisite theoretical role. I conclude that, subject to such revision, an Aristotelian conception of time looks to be the leading candidate. (shrink)

In this book, philosopher Jean W. Rioux extends accounts of the Aristotelian philosophy of mathematics to what Thomas Aquinas was able to import from Aristotle’s notions of pure and applied mathematics, accompanied by his own original contributions to them. Rioux sets these accounts side-by-side modern and contemporary ones, comparing their strengths and weaknesses.

John Haldane; Theory, Realism and Common Sense: A reply to Paul Churchland.1, Proceedings of the Aristotelian Society, Volume 93, Issue 1, 1 June 1993, Pages 32.

While Ingarden makes only infrequent reference to Aristotle, The Philosopher’s presence can be discerned throughout his published works. Perhaps mostsignificantly, when Ingarden returned to work on Controversy over the Existence of the World in 1938, he immersed himself in the study of Aristotle’s Metaphysics, and the entire framework of Controversy appears to have been inspired by reflection on central Aristotelian concepts. Ingarden’s understanding of the Aristotelian conception of the relation between form and matter, and indeed the Aristotelian (...) character of Ingarden’s ontology as a whole, stands in sharp contrast not only to Husserl’s transcendental idealism, but also to the materialist orientation of current mainstream research in cognitive science. It is hoped that this brief examination might serve to introduce to this research a realist phenomenological orientation that is capable of embracing and elucidating insights from both materialist and idealist approaches to the study of cognition. (shrink)

Does political realism have anything to contribute to the debates about migration in normative political theory? Anything well-established ‘moralist’ theories do not already acknowledge, that is? Addressing Jaggar’s (_Aristotelian Soc Suppl_ Vol. XCIV, pp. 87–113, 2020) and Finlayson’s (_Aristotelian Soc Suppl_ Vol. XCIV, pp. 115–139, 2020) critical intercessions into contemporary discourse about migration I argue that a political realist approach to the theory of migration faces what I call the ‘surplus challenge’: realists supposedly have no normative surplus over (liberal) (...) cosmopolitan and nationalist moralist approaches. This nothing-more-to-add narrative is a common argument against the possibility and integrity of political realism (as seen in, _inter alia_, Leader-Maynard and Worsnip in _Ethics_ 128(4), pp. 756–787, 2018). I show how it misconstrues the realist agenda. Finlayson, on the other hand, paints the realist intervention as primarily about paying closer attention to colonialism’s long legacy. A properly radical intrusion, however, addresses the unchecked and unwarranted, overbearing normative power of moral principles. I will conclude that for the realist, shaking up the discipline will not come as easy as pointing at some overly historicised facts. However, and despite this, the realist intervention rightly problematises contemporary philosophy of migration for its moral normativism. A radical realist approach to issues of migration, which unmasks the unjustified ‘microphysics’ political power hiding behind normative veneers, is a properly cataclysmic intrusion and the right way forward. (shrink)

This article puts critical realism in conversation with the classical Aristotelian concept of the common good. This concept plays an essential explanatory role in Aristotelian thought, not only a normative one, and so it has something to offer critical realism, which in turn can provide a sound metatheory for common good reflection. It is argued that accounts of emergence based on causal powers and common purpose are compatible and mutually enlightening. Critical realism can develop a (...) distinctive conception of common good based around ontological stratification and social teleology. In this conception, empirical social enquiry is essential for understanding what common goods are available in given social settings, since common goods flow from the intransitive real features of social entities, especially their causal powers. (shrink)

The main argument of the article regards Aristotle’s anti-realistic account, which presents a different viewpoint from that which simply fulfils or negates the truth-values of our statements on Mixed Constitutions. In modern times, the idea of a Constitution of many minds or of many individuals is proposed by Sunstein and by Hart, who maintain that neither intentions in juridical procedure nor Constitutional provisions can produce an ideal Constitution. Thus any interpretative procedure assigning to legal reality any definite, once-and-for-all meaning is (...) precarious, according to Aristotle who asks whether we can gain epistemic access to the real essences of Constitutions and their structure. These ideas respond to a challenge in the Works of Contiades, who will help us to turn the ideal Constitution into a realisable model in the situation in which we live nowadays. This is the main challenge to be met by the institutions of Europe in order to safeguard the nature of historical and intellectual values. (shrink)

Naïve Realists think that the ordinary mind-independent objects that we perceive are constitutive of the character of experience. Some understand this in terms of the idea that experience is diaphanous: that the conscious character of a perceptual experience is entirely constituted by its objects. My main goal here is to argue that Naïve Realists should reject this, but I’ll also highlight some suggestions as to how Naïve Realism might be developed in a non-diaphanous direction.

Samuel Guttenplan; V*—Moral Realism and Moral Dilemmas, Proceedings of the Aristotelian Society, Volume 80, Issue 1, 1 June 1980, Pages 61–80, https://doi.org/1.

The theses maintained in Professor Martin's work are of two quite different types: theses about the natures and interrelations of the various kinds of knowledge and theses about the true philosophy and the false ones. The true philosophy is classical realism, the philosophy of "the Aristotelian-Aquinas tradi- tion". What is the relation between these two kinds of theses, between Mr. Martin's theory of the order and integration of knowledge, on the one hand, and his classical realism, on (...) the other? Although Mr. Martin's view on this question is not entirely clear, it seems to be the following: "Moderate realism is the most adequate metaphysical position to account for the nature and kinds of knowledge"; but "this adequacy, in itself, is not sufficient for demonstrating the truth of realism. Rather it is one sign, among others, of its truth." We shall return to this question of the relation between these two kinds of theses after considering them separately. Since my own philosophical background and orientation tend to be similar to Mr. Martin's, the following discussion may present only an insider's view, though one more positively influenced by outsiders than is Mr. Martin's. (shrink)

Professor Veatch's writings have a special significance here. In recent years he has been more concerned than most to accept this responsibility, and more concerned than many to insist upon its importance. Drawing out some of the implications of his earlier Intentional Logic and still—as then—relatively unconcerned about the fate of any particular necessary truth, he has attempted to relate a realistic doctrine of necessity to some non-realistic doctrines. His is, it should be remarked, not a realism which for (...) its logical inspiration finds anything of use in such random realists as Peirce or Cook Wilson; rather, there are muffled echoes of the early Russell and Moore, confident quotations from Aquinas, and a very firm reliance on the finality of the Aristotelian predicables. (shrink)

Philosophical theories of the nature of concrete particulars come in two basic kinds, those according to which a concrete particular consists of properties and a bearer of those properties (a substratum), and those according to which a concrete particular consists only of its properties, in a relation of compresence or concurrence. Substrata are theoretical entities defined by their explanatory functions. As such, there is not much disagreement about their nature: they are propertyless, unobservable constituents of concrete particulars that are the (...) bearers of properties 1 and the individuators of distinct particulars. The situation is different with respect to properties. Among realists, some think properties are universals, either transcendent (Platonists) or immanent (Aristotelians), and some 2 think they are particulars (“tropes” ). Of the resultant possible positions on the nature of concrete particulars, six have been the focus of recent philosophical attention. These theories variously identify concrete particulars with (i) material substrata bearing transcendent universals, (ii) material substrata bearing immanent universals, (iii) material substrata bearing abstract particulars, (iv) bundles of transcendent universals, (v) bundles of immanent universals, and (vi) bundles of abstract particulars. (shrink)