The core argument of this article is that Adorno adopts the distinction between an abstract and a concrete universal from Hegel and criticizes Hegel, on that basis, as abstract. The first two parts of the article outline that both thinkers take the abstract universal to be the form of a false type of knowledge and society, and the concrete universal to be a positive aim. However, as the third part argues, Adorno rejects how the (...) class='Hi'>concrete universal is understood in Hegel’s philosophy and formulates a different conception of it. The fourth part questions if Adorno manages to overcome the problems he identifies in Hegel or whether they are inherent to the programme of dialectics both endorse. (shrink)

It is often believed that the only alternative to an idealist conception of natural phenomena excludes both the presence of objective universal forms and their progression towards higher forms as the finality of processes in the natural world. Realism regarding the universal and teleological approaches regarding processes are signs of idealism. Therefore, materialism, it would seem, must conform to a nominalist and mechanical view of nature. However, an intelligent materialist reading of idealism’s classics reveals a more complex scenario. (...) A real fact is expressed in a mystical fashion in idealism’s conceptions of objective universals and teleology. This article attempts to show such a real fact in its authentic (materialist) form. With that goal in mind, the present article discusses the notion of nature’s alienation, the distinction between abstract and concrete universals, and the concept of dialectical interaction. The natural-historical emergence of a higher form of matter’s organization assimilates, as its organs, the conditions that preceded it in time, transforming itself into an active producer of such conditions. That is the secret glimpsed but not correctly understood by idealism that a consistent materialist should not ignore. (shrink)

This book addresses the metaphysics of Armstrongian states of affairs, i.e. instantiations of naturalist universals by particulars. The author argues that states of affairs are the best candidate for truthmakers and, in the spirit of logical atomism, that we need no molecular truthmakers for positive truths. In the book's context, this has the pleasing result that there are no molecular states of affairs. Following this account of truthmaking, the author first shows that the particulars in (first-order) states of affairs are (...) bare particulars. He then argues that the properties in states of affairs are simple, non-relational and concrete universals. Next, he argues that (material) relations in states of affairs are external relations. Lastly, he argues that a state of affairs is unified by a distinctive formal relation without giving rise to Bradley’s regress. (shrink)

Today it would be considered "bad Platonic metaphysics" to think that among all the concrete instances of a property there could be a universal instance so that all instances had the property by virtue of participating in that concrete universal. Yet there is a mathematical theory, category theory, dating from the mid-20th century that shows how to precisely model concrete universals within the "Platonic Heaven" of mathematics. This paper, written for the philosophical logician, develops this (...) category-theoretic treatment of concrete universals along with a new concept to abstractly model the functions of a brain. (shrink)

This chapter considers the ‘hosting question’ of how immanent universals, in contrast to transcendent universals, are ‘brought down to earth’ from ‘Plato’s heaven’. It explores the thesis that the hosting amounts to their being constituents of the states of affairs that result from their instantiations. These states of affairs are concrete complexes consisting of particulars and universals, and perhaps something that links them together. The traditional view that immanent universals are concrete is briefly defended against a recent prominent (...) objection. On relationalism, states of affairs are unified by a relation of some sort; on non-relationalism they are unified non-relationally. Roughly, these two conceptions of states of affairs are equivalent to Armstrong’s relational and non-relational versions of immanent realism, respectively. Armstrong mostly criticises the former and defends the latter. It is argued, however, that relationalism, at least potentially, answers the hosting question, whereas non-relationalism realism does not. (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)

The ontological analysis of concrete particulars deals with the relationship between concrete object and their attributes. Both Peter Simons' Nuclear Theory and Aristotelian Substance Theory may present an acceptable explanation for the following three problems: Identity of Indiscernible, Excessive Necessitism and Change. In spite of the superiority of these two theories over the other theories, each has problems need to be addressed. Aristotelian theory does not seem to be very successful in showing that the spices (kinds) are unchangeable (...) or at least does not explain it. Simmons's theory also returns to Aristotelian theory. While outlining the challenges to any theory, the final suggestion of the paper is that with inspiration of Simmons' theory and introducing a relation between the generalities (universal Whatness), create a modification in Aristotelian theory to overcome the challenge of the irreductive challenge of Species (kinds) Simons' theory, in some sense, collapses back to Aristotelian Theory. (shrink)

In their seeking of simplicity, scientists fall into the error of Whitehead's "fallacy of misplaced concreteness." They mistake their abstract concepts describing reality for reality itself--the map for the territory. This leads to dogmatic overstatements, paradoxes, and mysteries such as the deep incompatibility of our two most fundamental physical theories--quantum mechanics and general relativity. To avoid such errors, we should evoke Whitehead's conception of the universe as a universe-in-process, where physical relations perpetually beget new physical relations. Today, the most promising (...) interpretations of quantum mechanics exemplify this Whiteheadian idea, formalizing physical systems, and the universe itself, as ongoing histories of actualizations of potential states, where actual states and potential states exist in mutually implicative relation as two separate categories of reality—an idea first proposed by Aristotle and rehabilitated by Heisenberg. In these interpretations, the classical conception of a history as a derivative story about fundamental physical objects is reversed: the classical physical object becomes the derivative story about fundamental histories of quantum states. The consistent histories interpretation of Robert Griffiths and the decoherent histories interpretation of Roland Omnès are cardinal examples of this approach to quantum mechanics. Another example, the relational realist interpretation, begins with the decoherent histories approach and formalizes it explicitly as a Whiteheadian interpretation, taking his “algebraic method” and applying it to quantum mechanics via algebraic topology. This branch of mathematics can be thought of as a “de-concretized” geometry in that it focuses only on the logical relations among objects and regions (and relations of these relations) rather than the fixed magnitudes of lines, planes, and other such rigid intervals. It has all the robust logical structure of geometry yet allows for an elasticity of relations that makes topological mathematical structures inherently immune misplaced concretization. (shrink)

We present a multidisciplinary, universal a pragmatic theory of causation based explicitly on five methodological causal seminal dimensions. The first one is called formal-mathematical-idealist theory and emerges as a meta-conceptual fusion of several existing causal theories. The second one is essentially based on a global, scientific and technical perspective. In fact, this can be considered as a meta-dimension encompassing a huge number of academic disciplines. The third dimension arises once more as combination of former approaches having the mind and (...) its laws as the central paradigm. The fourth one is structurally related with our subjective phenomenological world and its objective impact on the external universe. And, finally, the fifth dimension is closely related with the first one, but more oriented toward the global implicit purpose of the universe and what this implies causally on the events in nature. We give several concrete examples elucidating the explanatory range of our theory. (shrink)

What is the quantum state of the universe? Although there have been several interesting suggestions, the question remains open. In this paper, I consider a natural choice for the universal quantum state arising from the Past Hypothesis, a boundary condition that accounts for the time-asymmetry of the universe. The natural choice is given not by a wave function but by a density matrix. I begin by classifying quantum theories into two types: theories with a fundamental wave function and theories (...) with a fundamental density matrix. The Past Hypothesis is compatible with infinitely many initial wave functions, none of which seems to be particularly natural. However, once we turn to density matrices, the Past Hypothesis provides a natural choice---the normalized projection onto the Past Hypothesis subspace in the Hilbert space. Nevertheless, the two types of theories can be empirically equivalent. To provide a concrete understanding of the empirical equivalence, I provide a novel subsystem analysis in the context of Bohmian theories. Given the empirical equivalence, it seems empirically underdetermined whether the universe is in a pure state or a mixed state. Finally, I discuss some theoretical payoffs of the density-matrix theories and present some open problems for future research. (Bibliographic note: the thesis was submitted for the Master of Science in mathematics at Rutgers University.). (shrink)

Amsterdam University Press is a leading publisher of academic books, journals and textbooks in the Humanities and Social Sciences. Our aim is to make current research available to scholars, students, innovators, and the general public. AUP stands for scholarly excellence, global presence, and engagement with the international academic community.

One of the central questions of Jacques Derrida's later writings concerns the sources of religion. At times he gives explicit priority to the universal dimension of religion. In other places, however, he considers the primacy of faith in its concrete, historical context. This paper will clarify Derrida's relationship to universality and historicity by first comparing his notion of "messianicity without messianism" to that of Walter Benjamin's "weak Messianism." After drawing out these differences, I will focus on Derrida's later (...) writings. I will show that much of the ambiguity of Derrida's thinking on religion can be resolved by turning to his work on khōra, the Greek word for "space" or "matter." The rhetoric of khōra can allow us to think through a twofold logic, one that includes the universal/historical distinction and exceeds its alternatives. (shrink)

Instead of the half-century old foundational feud between set theory and category theory, this paper argues that they are theories about two different complementary types of universals. The set-theoretic antinomies forced naïve set theory to be reformulated using some iterative notion of a set so that a set would always have higher type or rank than its members. Then the universal u_{F}={x|F(x)} for a property F() could never be self-predicative in the sense of u_{F}∈u_{F}. But the mathematical theory of (...) categories, dating from the mid-twentieth century, includes a theory of always-self-predicative universals--which can be seen as forming the "other bookend" to the never-self-predicative universals of set theory. The self-predicative universals of category theory show that the problem in the antinomies was not self-predication per se, but negated self-predication. They also provide a model (in the Platonic Heaven of mathematics) for the self-predicative strand of Plato's Theory of Forms as well as for the idea of a "concrete universal" in Hegel and similar ideas of paradigmatic exemplars in ordinary thought. (shrink)

Trope theory is a leading metaphysical theory in analytic ontology. One of its classic statements is found in the work of Donald C. Williams who argued that tropes qua abstract particulars are the very alphabet of being. The concept of an abstract particular has been repeatedly attacked in the literature. Opponents and proponents of trope theory alike have levelled their criticisms at the abstractness of tropes and the associated act of abstraction. In this paper I defend the concept of a (...) trope qua abstract particular by rejecting arguments that purport to show that tropes should not be understood as abstract and by arguing that the abstractness of tropes plays an indispensable role in one of our more promising trope-theoretic analyses of universals and of concrete objects. (shrink)

Trope theory is the view that the world consists (wholly or partly) of particular qualities, or tropes. This admittedly thin core assumption leaves plenty of room for variation. Still, most trope theorists agree that their theory is best developed as a one-category theory according to which there is nothing but tropes. Most hold that ‘sameness of property’ should be explained in terms of resembling tropes. And most hold that concrete particulars are made up from tropes in compresence (for an (...) overview, including an introduction to some alternative versions of the view, cf. Maurin, 2014). D. M. Armstrong disagrees. He thinks the world is a world of immanent universals, the thin particulars in which those universals are instantiated, and the states of affairs that—thereby—exist. He holds that ‘sameness of property’ should be explained in terms of numerically identical universals or—if the resembling things are the universals themselves—in terms of partially identical universals. And he believes that concrete particulars are made up from ‘thin particulars’ in which a (sufficient) number of universals are instantiated. In spite of their disagreements, proponents of tropes owe Armstrong a debt of gratitude. First, for being one of the theory’s earliest, most serious, and—not least—most prominent, critics (Armstrong for the first time considers, and rejects, what he then labels ‘particularism’, in his 1978a). But also for being one of the theory’s most ardent champions. Already in his 1989a, Armstrong regrets his 1978-rejection of the view. Equivalence classes of exactly resembling tropes, he now admits, for most purposes “serve as an excellent substitute for universals” (Armstrong 1989a, 122). But then why isn’t Armstrong a trope theorist? In this paper, Armstrong’s main reasons for rejecting the trope view are critically scrutinized. All of them, it is maintained, fail to convince. If this argument is accepted, Armstrong seems to have no—or, at least, no good—reason for not accepting the existence of tropes. But, then, ought Armstrong to have been a trope theorist? If the ‘best’ version of the trope view turns out to be ontologically more parsimonious than Armstrong’s own theory of universals, then, yes. That there is a version of the trope view, a version that is not (or, at least not seriously) considered by Armstrong, that is ontologically more parsimonious than the universals view, is argued in the next section. Why none of Armstrong’s reasons for preferring universals to tropes manage to convince, is explained in the section after that. First, however, and in order to avoid a common misunderstanding of the trope view and, as a consequence, of why one ought to reject it, a few more words about the core-difference between tropes and universals, and about how this difference matters (as well as does not matter) to what—and how well—these theories explain. (shrink)

‘Nominalism’ refers to a family of views about what there is. The objects we are familiar with (e.g. hands, laptops, cookies, and trees) can be characterized as concrete and particular. Nominalists agree that there are such things. But one group of nominalists denies that anything is non-particular and another group denies that anything is non-concrete. These two sorts of nominalism, referred to as ‘nominalism about universals’ and ‘nominalism about abstract objects’, have common motivations in contemporary philosophy.

'Ontology and Metaontology: A Contemporary Guide' is a clear and accessible survey of ontology, focussing on the most recent trends in the discipline. -/- Divided into parts, the first half characterizes metaontology: the discourse on the methodology of ontological inquiry, covering the main concepts, tools, and methods of the discipline, exploring the notions of being and existence, ontological commitment, paraphrase strategies, fictionalist strategies, and other metaontological questions. The second half considers a series of case studies, introducing and familiarizing the reader (...) with concrete examples of the latest research in the field. The basic sub-fields of ontology are covered here via an accessible and captivating exposition: events, properties, universals, abstract objects, possible worlds, material beings, mereology, fictional objects. -/- The guide's modular structure allows for a flexible approach to the subject, making it suitable for both undergraduates and postgraduates looking to better understand and apply the exciting developments and debates taking place in ontology today. (shrink)

Metaphysics is supposed to tell us about the metaphysical nature of our world: under what conditions composition occurs; how objects persist through time; whether properties are universals or tropes. It is near orthodoxy that whichever of these sorts of metaphysical claims is true is necessarily true. This paper looks at the debate between that orthodox view and a recently emerging view that claims like these are contingent, by focusing on the metaphysical debate between monists and pluralists about concrete particulars. (...) This paper argues that we should be contingentists about monism and pluralism, and it defends contingentism against some necessitarian objections by offering an epistemology of contingent metaphysical claims. (shrink)

Awareness is a two-place determinable relation some determinates of which are seeing, hearing, etc. Abstract objects are items such as universals and functions, which contrast with concrete objects such as solids and liquids. It is uncontroversial that we are sometimes aware of concrete objects. In this paper I explore the more controversial topic of awareness of abstract objects. I distinguish two questions. First, the Existence Question: are there any experiences that make their subjects aware of abstract objects? Second, (...) the Grounding Question: if an experience makes its subject aware of an abstract object, in virtue of what does it do so? I defend the view that intuitions, specifically mathematical intuitions, sometimes make their subjects aware of abstract objects. In defending this view, I develop an account of the ground of intuitive awareness. (shrink)

In this paper I consider whether a powers ontology facilitates a reduction of causal relations to intrinsic powers of the causal relata. I first argue that there is a tension in the view that powerful causation is an internal relation in this sense. Powers are ontologically dependent on other powers for their individuation, but in that case—given an Aristotelian conception of properties as immanent universals—powers will not be intrinsic on several extant analyses of ‘intrinsic’, since to possess a given power (...) P requires the existence of other concrete particulars as bearers of the powers that individuate P. I suggest several ways for Aristotelians to resolve this tension, but all tenable options involve individuative type-level causal relations between powers. While these individuative relations between powers are internal in the sense that the powers are essentially related, this is a different sense of ‘ internal ’ to the one that entails reducibility. The proposed reduction of token-causal relations to powers succeeds only at the cost of irreducible type-level causal relations between the powers themselves. (shrink)

The initial one-third of the paper is devoted to exposing the first chapter (“Sense-Certainty”) of Hegel’s PHENOMENOLOGY OF SPIRIT as a thesis about reference, viz., that singular demonstrative reference is impossible. In the remainder I basically argue that such a view commits one to radically undermining our conceptions of space, time, and substance (concrete individuality), and rests on the central mistake of construing <this> on the model of a predicable (or property).

In this thesis I argue against unrestricted mereological hybridism, the view that there are absolutely no constraints on wholes having parts from many different logical or ontological categories, an exemplar of which I take to be ‘mixed fusions’. These are composite entities which have parts from at least two different categories – the membered (as in classes) and the non-membered (as in individuals). As a result, mixed fusions can also be understood to represent a variety of cross-category summation such as (...) the abstract with the concrete, the physical with the non-physical, and the possible with the impossible, just to name a few. -/- Proposed by David Lewis (1991) alongside his defence of classical mereology (the major theory of parthood which permits such transcategorial composites through its principle of unrestricted composition) it is my contention that mixed fusions are an under-examined consequence of indiscriminate mereological fusion which harbour a multitude of complications. In my attempt to discern their substantive character, throughout this thesis I make a case study of mixed fusions and uncover several problematic consequences which I think follow from their most plausible assessment. -/- These include: (1) that mixed fusions’ probable membership relations may lead to dubious foundational loops in the mereological Universe, or (2) otherwise that mixed fusions oblige an implausible ontological priority of the mereological Universe as a whole; (3) that mixed fusions contradict the reductive account of set theory they are proposed within, by plausibly being seen to have the same members as their class parts, and (4) that mixed fusions therefore confound a mereological thesis of Composition as Identity, which some (including Lewis) use to support classical mereology – a consequence which is potentially self-defeating; (5) that mixed fusions as sums of abstract and concrete entities both subvert Lewis’s (1986) system of modal realism, while (6) also undermining less expansive theories of possible worlds; and finally, (7) that even where some of the foregoing is resisted, it remains implausible that mixed fusions are ontologically innocent, because their supposed distinction from their parts in this case ensures that they need to be counted as additional entities in one’s ontology. -/- To be clear, I do not advance a theory of mereological hybrid nihilism in the sense of denying all cases of transcategorial composition. (I only cover a few select instances of mereological hybridism via mixed fusions after all.) Rather, I deny that mereological hybridism is plausible in full generality, by demonstrating that any cases of it are at least limited by the constraints that I identify. This in turn vindicates a call for a restriction on parthood theories and composition principles which allow certain types of categorially mixed entities – including restricting classical mereology with its principle of unrestricted composition. -/- Although theories of parthood like the standard classical mereology are not ordinarily developed for the sake of mereological hybrids like mixed fusions, these and other transcategorial composites are still among the logical consequences of such parthood systems operating with sufficient generality. The significance of my thesis, then, comes from showcasing how some of these kinds of entities do not conform to the systems in which they are included as required, and hence I argue for the rejection of unrestricted mereological hybridism as well as any mereological principles which support it. (shrink)

This paper explains the metaphysical implications of the view that species are individuals (SAI). I first clarify SAI in light of the separate distinctions between individuals and classes, particulars and universals, and abstract and concrete things. I then show why the standard arguments given in defense of SAI are not compelling. Nonetheless, the ontological status of species is linked to the traditional "species problem," in that certain species concepts do entail that species are individuals. I develop the idea that (...) species names are rigid designators and show how this provides additional motivation for SAI. (shrink)

The paper seeks to develop an account of indexical phenomena based on the highly general theory of structure and dependence set forth by Husserl in his Logical Investigations. Husserl here defends an Aristotelian theory of meaning, viewing meanings as species or universals having as their instances certain sorts of concrete meaning acts. Indexical phenomena are seen to involve the combination of such acts of meaning with acts of perception, a thesis here developed in some detail and contrasted with accounts (...) of indexicals suggested by Frege, Wittgenstein and by the later Husserl himself in his Ideas I. Implications are drawn also for our understanding of the categorial grammar sketched by Husserl in his 4th Logical Investigation, as also for our understanding of the nature of proper names and other candidate indexical expressions. (shrink)

This paper shows how the universals of category theory in mathematics provide a model (in the Platonic Heaven of mathematics) for the self-predicative strand of Plato's Theory of Forms as well as for the idea of a "concrete universal" in Hegel and similar ideas of paradigmatic exemplars in ordinary thought. The paper also shows how the always-self-predicative universals of category theory provide the "opposite bookend" to the never-self-predicative universals of iterative set theory and thus that the paradoxes arose (...) from having one theory (e.g., Frege's Paradise) where universals could be either self-predicative or non-self-predicative (instead of being always one or always the other). (shrink)

I provide a distinctively Wittgensteinian interpretation of Hegel’s Subjective Logic, including the parts on the concept, the judgement and the syllogism. I argue that Wittgenstein implicitly recognised the moments of universality, particularity and individuality; moreover, he was sensitive to Hegel’s crucial distinction between abstract and concrete universals. More specifically, for Wittgenstein the moment of particularity has the status of a paradigmatic sample which mediates between a universal concept and its individual instances. Thus, a concrete universal is (...) a universal that includes every individual via its paradigmatic sample. Next, I provide a generic account of the emergence of concrete universals through a series of negations that follows the basic structure of Hegel’s judgement—“the individual is the universal”—and the syllogism—“the individual is the universal mediated by the particular”. This development is illustrated with examples from Hegel (a plant, Socrates, Caesar, a Stoic sage, Jesus) as well as from Wittgenstein (colour samples, the standard metre, works of art). I take Wittgenstein’s argument against private language as implying that we cannot do without paradigms in our epistemic practices. If the conclusion of the section “Subjectivity” in Hegel’s Science of Logic is that the moment of particularity cannot be ignored or dispensed with, then it would mean that we cannot do without paradigms in our epistemic practices: that is, that private rules are impossible. (shrink)

Robert Adams characterizes actualism regarding possible worlds as «the view that if there are any true statements in which there are said to be nonactual possible worlds, they must be reducible to statements in which the only things there are said to be are things which there are in the actual world, and which are not identical with nonactual possibles.» In this paper, I will briefly explain actualism about possible worlds, showing that an essential pillar of the theory is the (...) claim that truth is distinct from, and ontologically prior to, truth in a world. The rest of the paper is premised on the idea that an interesting philosophical defense of this claim calls for an analysis of truth itself, and is not intended as an objection to actualism, but rather to underscore the interest actualists should have in the question of what truth is. First, I will consider the idea, drawn from Adams and Alan McMichael, that truth differs from truth in a world in its being a matter of correspondence between a proposition and an independent object; that object being, in McMichael's words, the `concrete universe'. Then, I will show that, given such an analysis of truth, the truth conditions for propositions about non-actual possibilities violate the central tenet of actualism, as articulated by Adams. (shrink)

I offer a reading of Murdoch's conception of concrete universality as it appears in 'The Idea of Perfection', the first essay in the Sovereignty of Good. I show that it has British Idealist overtones that are inflected by Wittgenstein, a thought I try to illuminate by drawing an analogy with Wittgenstein's discussion of the metre stick in Paris in Philosophical Investigations §50. In the last part of the paper, I appeal to the work of Murdoch's erstwhile tutor Donald MacKinnon (...) to respond to an objection to my strategy, which I draw from Murdoch's later work, Metaphysics as a Guide to Morals. (shrink)

An analysis of the counter-intuitive properties of infinity as understood differently in mathematics, classical physics and quantum physics allows the consideration of various paradoxes under a new light (e.g. Zeno’s dichotomy, Torricelli’s trumpet, and the weirdness of quantum physics). It provides strong support for the reality of abstractness and mathematical Platonism, and a plausible reason why there is something rather than nothing in the concrete universe. The conclusions are far reaching for science and philosophy.

The issue of emotion is discussed in three stages in this article. Thus, emotion is built on a realistic and explanatory basis. In the first stage, the relationship between the physiological structure of the human brain and emotion is emphasized. The connection between the lower/primitive brain (the region/emotion center where emotions arise) and the upper/developed brain (mind-logic center, prefrontal lobe) is mentioned. Secondly, the emotional and mental development of human according to Jean Piaget's Mental Development Theory is explained. In the (...) emotional / intuitive period of 4-7 years (Emotional Intuition), while the person is completely under the influence of emotions, at the age of 7-11, he becomes aware of a concrete world accompanying emotions and passes to the Concrete Operations Period. It experiences the universe by "experiment" in the concrete operational period. And at the age of 11-17, the human reaches the Abstract Operations Period with the addition of reason and logic to his mental structure, which he built by putting a concrete universe on the core of emotions. Emotion is one of the most important functions of the human brain, and the reasoning system has evolved as an extension of the emotional system. Emotion plays different roles in the reasoning process. Emotion can increase the weight of a proposition, affecting the result in favor of that proposition. Emotion also helps in the process of remembering the many facts that need to be taken into account in order to make a decision. It has been explained through examples that emotion has a very important function in reasoning and that the mind is also important in controlling emotions. Again, emotion can help the mind / logic process scientific knowledge correctly and make good decisions. (shrink)

For the metaphysician, photographs are very puzzling entities indeed. And even from the non-philosopher's intuitive point of view, it is not that clear what sort of thing a photograph is. Typically, if a client wants to purchase a photograph, she can mean very different things by 'buying a photograph' : she can mean to buy a print or a number of prints, or she can mean to buy a negative (when traditional film photographs are concerned) or a file (when digital (...) photography is concerned), or she can mean to buy a right to use a photograph a precisely determined number of times in a number of brochures or on a website, and so on. When facing a new client, I always, without exception, face the problem of explaining to her what it is that she is actually buying – and it is not always clear that she is ever buying a photograph. As a metaphysician, I face a much more difficult challenge : find out to what ontological category photographs belong to. Are they concrete spatio-temporal entities like prints, are they universals since there can be many 'prints-instances' of a same photograph, are they sets or aggregates of prints, or something even different ? This is the task that I wish to undertake in this paper : examine all plausible metaphysical categories to which photographs could belong to, and see which one is the fittest. As we shall see, in this 'survival for the fittest' competition between traditional metaphysical categories, there will be no real winner : several categories will reveal themselves to be enlightening and useful when describing features of what photographs are, but none will prove to be entirely satisfactory. Photographs, it seems, are a sort of borderline entities that share some but not all aspects of several traditional metaphysical categories. Is it then justified to postulate a new ontological category to which photographs would properly belong ? On mainly methodological grounds, I shall argue that it is not, and I will suggest a different way out of this metaphysician's trouble by defending a nihilism about photographs. To put it bluntly, I will defend the claim that photographs do not exist – but I will also argue that this is not a very revisionary or anti-commonsensical claim. (shrink)

Repeatable artworks, such as novels and musical works, have often been construed as universals whose instances are particular printings or performances. In Art and Art-Attempts, Christy Mag Uidhir offers a nominalist account of repeatable artworks, eschewing talk of universals. Mag Uidhir argues that all artworks are concrete, and artworks that we regard as repeatable are simply unified by a relevant similarity relation: we use the name Beloved to refer to two concrete printed novels because they are relevantly similar (...) to each other and to certain other printings that are the product of Toni Morrison’s art-attempt. I discuss two potential difficulties for Mag Uidhir’s notion of relevant similarity: a difficulty related to appropriation, and a difficulty related to the fact that musical performances are often the product of distinct art-attempts by the composer and by the performer. I suggest that both difficulties could be addressed by enriching the notion of relevant similarity by appeal to the artist’s specification of which similarities are essential for two works to count as relevantly similar. (shrink)

This essay explores the interrelationship between tragedy and comedy, with specific focus given to the potential that comedy can provide in transforming the most tragic of situations. In building this claim, the very dynamics and distinctions that divide the tragic from the comic are considered in view of the self-negation that the comic posits. That is, while tragedy requires a certain acceptance of the finite, from which destiny and circumstance come to certify the hero’s tragic predicament, in comedy, what succeeds (...) is that which functions through an act of self-negation. This, it is argued, offers a subversive redefining of tragedy, one that proves constitutive of a comic fatalism that does not mourn one’s tragic predicament or fated end, but, instead, fully identifies with our comic predicament. Going beyond the pitfalls of political nicety and moral condemnation, which seek easy gratification or cynical distance, the conclusion examines the conceptual artist, Vanessa Place, and her performance of rape jokes. (shrink)

If we start out with the assumption that the empirical world is real then we leave philosophy behind from the start. Descartes established the real Copernican revolution in philosophy when he began with “Doubt.” This doubt was directed toward everything familiar including even the world of experience. The only certainty he allowed was the being of himself as thinking. From this he wanted to deduce everything else. This is the spirit of philosophy. If we START with the world as given, (...) then we have not philosophically comprehended what that empiric world is. Genuine philosophy can only begin with doubt. But this doubt must not remain supreme and thereby turn us into skeptics. One must also be willing ultimately to doubt the doubt and in that way arrive at absolute knowledge. Unfortunately, Descartes simply forgot his doubt and uncritically accepted the familiar world of sense as being alongside the being of thought, thus creating a dualism. By tracing the movement of thinking involved in concept formation and its implications with respect to its object — that movement itself is what establishes the ground of truth and basis of what we call reality. Seeing, for example, involves a process, and only when we have intimate familiarity with the thinking that goes on behind or within that process do we know it in its truth. Otherwise simply accepting what we see or sense at face value, without understanding what is going on at an internal level is naive, unconscious existence - basically indistinguishable from animal life. Human life is the unique opportunity to rise above mere animal awareness and come to a more fully conscious existence. Serious work is required to do that — thinking work that is also called negative activity or the act of negating, because thinking means to negate what is directly present, i.e. not to accept what is merely given or apprehended but to try to understand it at a deeper or thinking level in order to comprehend its fundamental basis or truth. Comprehending the unity of the movement and development of the concrete universal with itself as the concept is conceptual knowing or the Absolute Idea. (shrink)

Tetrainertia, as a universal process, function of moving matter, is its structural characteristic. And the sphere is a product of matter, its concrete form and a figurative model for studying the properties of tetrainertia. This thinking is a supplement to the first publication: The mechanics of existence.

Animal mind philosophy and the related philosophy of language are rich and developing fields of philosophy. Enriched with the language of comparative concepts, they can become the threshold of a cumulative, verifiable strictly scientific "philosophy of pure mind", asserting a fundamentally new view of the problem of society, man and his place among other beings. My understanding of the mind through the prism of nonverbal and verbal thinking allowed me to get an idea of three completely different stages in the (...) development of the mind – reason, mind and wisdom. I understand reason as thinking by classification concepts of natural language, mind – as thinking by concrete scientific comparative concepts verified with the help of the senses. Whereas wisdom, understood by me in the light of "pure reason", is connected with the generalization of many particular comparative concepts. At the same time, I proceed from the fact that we are all perceiving beings, and our brain, being formed in the light of the relations of similarity and difference, perceives (comprehends – grasps) the energy present in the environment (energy in general), and converts it into sensory data. Presented by the Aristotle-Rotenfeld philosophical Matrix, in the form of concrete universal concepts of different types, they expand its cognitive capabilities step by step. Thus, with the help of spatial representations and integral visual images – drawings used by me, I show how to make nonverbal rational thinking of humans and animals verbal, expressing it in comparative terms. (shrink)

At the heart of one of the many problems concerning consciousness, there are flaws in our thinking that impede a philosophical understanding of the world. At the same time, I understand philosophy as a rigorous science aimed at “knowledge of the general”, reflecting the most fundamental and universal relations of reality, meaningful thanks to two types of comparative concepts. One of them is specific-scientific comparative concepts of different types, reflecting the beginnings of natural scientific knowledge, while the second type (...) is specific-general comparative concepts of different types. Without creating a concrete-universal theory, with the generally recognized philosophical language of comparative concepts, it is impossible to explain one of the fundamental difficulties: with the help of what linguistic means can consciousness be entered as a subjective reality into the physical picture of the world, how to fill this “gap in explanation”? In my opinion, this is the language comparative concepts of different types. (shrink)

At the heart of one of the many problems concerning consciousness, there are flaws in our thinking that impede a philosophical understanding of the world. At the same time, I understand philosophy as a rigorous science aimed at “knowledge of the general”, reflecting the most fundamental and universal relations of reality, meaningful thanks to two types of comparative concepts. One of them is specific-scientific comparative concepts of different types, reflecting the beginnings of natural scientific knowledge, while the second type (...) is specific-general comparative concepts of different types. Without creating a concrete-universal theory, with the generally recognized philosophical language of comparative concepts, it is impossible to explain one of the fundamental difficulties: with the help of what linguistic means can consciousness be entered as a subjective reality into the physical picture of the world, how to fill this “gap in explanation”? In my opinion, this is the language comparative concepts of different types. (shrink)

Just like Rudolf Carnap, but in a slightly different composition, I divide language into three types of conceptual means: classification, specifically scientific and specifically general comparative concepts of different types. I associate classification concepts with the ability to reason on any topic, that is, with reasonable thinking. Concrete scientific comparative concepts determine the comprehension of natural and social processes, their objective cognition in the form of rational thinking (reason), while concrete universal comparative concepts define philosophy (wisdom), understood (...) as knowledge of the universal. Based on three types of thinking (prudence, reason, wisdom) in 2010 at a symposium in Greece, I presented the ideas of morality in the context of human development in the form of a proposed article. (shrink)

The goal of referent tracking is to create an ever-growing pool of data relating to the entities existing in concrete spatiotemporal reality. In the context of Electronic Healthcare Records (EHRs) the relevant concrete entities are not only particular patients but also their parts, diseases, therapies, lesions, and so forth, insofar as these are salient to diagnosis and treatment. Within a referent tracking system, all such entities are referred to directly and explicitly, something which cannot be achieved when familiar (...) concept-based systems are used in what is called “clinical coding”. In this paper we describe the components of a referent tracking system in an informal way and we outline the procedures that would have to be followed by healthcare personnel in using such a system. We argue that the referent tracking paradigm can be introduced with only minor – though nevertheless ontologically important – technical changes to existing EHR infrastructures, but that it will require a radically different mindset on the part of those involved in clinical coding and terminology development from that which has prevailed hitherto. (shrink)

Phenomenology is the study of appearance as such. It is a branch of both Ontology and Epistemology, since appearing is being known. By an ‘appearance’ is meant any existent which impinges on consciousness, anything cognized, irrespective of any judgment as to whether it be ‘real’ or ‘illusory.’ The evaluation of a particular appearance as a reality or an illusion is a complex process, involving inductive and deductive logical principles and activities. Opinion has to earn the status of strict knowledge. Knowledge (...) develops from appearances, which may be: (a) objects of perception, i.e. concrete phenomena in the physical or mental domains; (b) objects of intuition, i.e. one’s subjective self, cognitions, volitions and valuations (non-phenomenal concretes); and/or (c) objects of conception, i.e. simple or complex abstracts of preceding appearances. Abstraction relies on apprehensions of sameness and difference between appearances (including received or projected appearances, and projected negations of appearances). Coherence in knowledge (perceptual, intuitive and conceptual) is maintained by apprehensions of compatibility or incompatibility. Words facilitate our construction of conceptual knowledge, thanks to their intentionality. The abstract concepts most words intend are common characters or behaviors of particulars (concrete material, mental or subjective experiences). Granting everything in the world is reducible to waves, ‘universals’ would be equalities or proportionalities in the measures of the features, motions and interrelations of particular waves. Such a theory of universals would elucidate sensation and memory. In attempting to retrace the development of conceptual knowledge from experience, we may refer to certain major organizing principles. It is also important to keep track of the order of things in such development, interrelating specific concepts and specific experiences. By proposing a precise sequence of events, we avoid certain logical fallacies and are challenged to try and answer certain crucial questions in more detail. Many more topics are discussed in the present collection of essays, including selfhood, adduction and other logical issues, the status of mathematical concepts and theology. (shrink)

Seeing total darkness is a peculiar perceptual state: in it, the subject is visually aware of something while seeming to fail to be aware of anything. Recent treatments of the topic (Sorensen 2008, Soteriou 2000) leave this particular puzzle unsolved. Here, I attempt a solution. Following Dretske, I begin by suggesting that the perceptual report ‘S sees (total) darkness’ is ambiguous between two distinct kinds of perceptual states: epistemic and non-epistemic. This will lead to an examination of the metaphysics of (...) what is supposed to be seen. I show, on the one hand, the difficulty of reducing the perception of total darkness to the perception of a particular instantiation of a property, and on the other, that it has important similarities with the perception of (non-particular) ‘stuff’. I propose, finally, that the solution to the puzzle might involve postulating a novel ontological status for total darkness: that of a ‘concrete universal’. Potential implications of interest for particularism and for naïve realism are suggested. (shrink)

Initially introduced to the philosophical world as elusive, we-know-notwhats—substrata underlying the properties had or exemplified by things, but themselves bereft of properties—bare particulars have been dismissed as undetectable, unnecessary, and even incoherent. Hardly a warm welcome. It appears, however, that times are changing. In a recent series of articles, for example, J. P. Moreland has argued that “bare particulars are crucial entities in any adequate overall theory of individuation”;’ that is, concrete particulars cannot be individuated without them. In the (...) same vein, Oaklander and Rothstein,2 drawing upon elements of Moreland’s new theory, have defended bare particulars against Loux’s grounding objection’—that if the theory is correct, bare particulars are qualitatively indiscernible; in which case we either have no basis for saying that they arc numerically diverse, or we must introduce lower-level substrata to ground that diversity, thereby raising the spectre of an infinite regress of individuators. (shrink)

In this dissertation I consider the merits of certain nominalist accounts of phenomena related to the character of ordinary objects. What these accounts have in common is the fact that none of them is an error theory about standard cases of predication and none of them deploys God or uniquely theistic resources in its explanatory framework. -/- The aim of the dissertation is to answer the following questions: -/- • What is the best nominalist account on offer? • How might (...) it be improved? • Does it ultimately succeed? -/- I will argue that while so-called trope theory is the best account on offer, it can be significantly improved—or replaced—by a novel version of nominalism that is modeled after trope theory. Ultimately, however, I will argue that even the novel version fails. -/- The dissertation unfolds as follows. In Chapter 1, I introduce Austere Nominalism (AN), which is perhaps the most extreme version of nominalism that falls within the scope of the dissertation. AN is often described as the view that there exist only concrete particulars. According to AN, it is unnecessary to posit any entities other than ordinary objects—turkeys, tables, and the like—in order to account for explananda related to the character of those objects. (Such explananda include the phenomenon of attribute agreement, of attribute possession, of true subject-predicate sentences, etc.) In this chapter I argue that AN fails to provide an adequate account of these explananda. In addition, introducing and criticizing AN serves an important heuristic role for the rest of the dissertation. To understand this role, we must distinguish between the basic explanatory strategy deployed by the austere nominalist and the type of explananda for which she deploys that strategy. The austere nominalist deploys the strategy to account for the character of ordinary objects. As I argue in Chapter 1, this deployment is a failure. As I go on to show in Chapter 2, the widespread rejection AN has led to a variety of rival accounts of the character of ordinary objects. In rejecting AN, however, these accounts also tacitly reject its basic explanatory strategy. Thus goes the baby with the bathwater, since, arguably, there are some attractive features of AN’s basic explanatory strategy. Indeed, those who defend the most prominent version of nominalism—trope theory—seem to overlook the advantages of AN’s basic strategy, and by so doing, make an unnecessary concession to the realist. Or so I argue in Chapter 3. And, as I will argue in Chapter 4, the strongest version of nominalism is a novel account, modeled after trope theory, that deploys AN’s basic strategy at a more fundamental level than that of ordinary objects. This novel account—troper theory—is closer in spirit to AN than is traditional trope theory. (Thus, AN serves as a foil for the discussion of other nominalist views.) Finally, in the Afterword I indicate how troper theory is equally vulnerable to some of the traditional objections that plague trope theory. Thus, if you are not convinced that traditional objections to trope theory are conclusive and you want to be a nominalist, then you should abandon trope theory and adopt troper theory. If you take traditional objections against trope theory to have significant force, then you should reject both theories. (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)

In The World as Will and Representation (Vol. I, Book 3, § 52) by Arthur Schopenhauer we find the following, striking words: It is just this universality that belongs uniquely to music, together with the most precise distinctness, that gives it that high value as the panacea of all our sorrows. (p. 262) Accordingly, music ... is in the highest degree a universal language ... Yet its universality is by no means that empty universality of abstraction, but is of (...) quite a different kind; it is united with thorough and unmistakable distinctness. (p. 262) ... music expresses in an exceedingly universal language, in a material, that is, in mere tones, and with the greatest distinctness and truth, the inner being, the in-itself, of the world, which we think of under the concept of will (p. 264). These quotations contain an outright paradox: the meanings of music should be at the same time universal in the highest degree and characterised by the greatest distinctness. As it turns out this paradox does not follow merely from Schopenhauer's liking for brilliant, rethorical formulations. For it occurs in many contexts concerned with the expressive meaning of art, and especially music. Other occurrences of the dilemma are to be found in the writings of Felix Mendelssohn-Bartholdy and in the aesthetic theory of Susanne Langer formulated in chapter VIII, >On the Significance in Music of her book Philosophy in a New Key and it would be possible to quote many other sources. The persistently recurring nature of this paradox confirms that the issue will be central to any attempt at a complete theory of musical meaning. Furthermore, it may be essential for it to be resolved first if one aims to make sense of the relationship between musical and linguistic forms of meaning and, consequent upon this, to address the much debated question of whether music itself can be considered to be a language of the emotions. An attempt at a solution to the paradox in question constitutes the subject of this paper. For this purpose the framework and some notions of Langer's theory are used. The solution which I propose takes the form of distinguishing between two distinct notions of generality (which I will term 'generality' and 'abstractness'), as well as two distinct notions of particularity (which I will term 'specificity' and 'concreteness'), and involves assigning technically precise meanings to these with a view to constructing two relatively independent oppositions: on the one hand the concrete versus the abstract and, on the other, the specific versus the general. (Hints at such a solution are to be found both in Schopenhauer and in Langer). With the help of these notions it is, I believe, then possible to show that the arguments often quoted to the effect that musical meanings possess a certain generality in fact justify no more than their abstractness, while arguments usually thought to demonstrate that they possess a certain particularity in fact show only their specificity (but not concreteness). Consequently, musical meanings are shown to be abstract but specific, which does not entail any contradiction since these notions are independent and not opposed to each other. At the same time, musical meanings may then be contrasted with linguistic meanings, which themselves are abstract and general. If, however, each of the notions of abstractness and generality is understood as also permitting gradations, it will be the case that whereas linguistic meanings may be said to be more general (i.e. less specific) than musical ones, the latter are without any doubt more abstract than the former. (shrink)

Gödel's Philosophical Legacy Kurt Gödel's contributions to philosophy extend beyond his incompleteness theorems. He engaged deeply with the work of other philosophers, including Immanuel Kant and Edmund Husserl, and explored topics such as the nature of time, the structure of the universe, and the relationship between mathematics and reality. Gödel's philosophical writings, though less well-known than his mathematical work, offer rich insights into his views on the nature of existence, the limits of human knowledge, and the interplay between the finite (...) and the infinite. His work continues to inspire and challenge philosophers, mathematicians, and scientists, inviting them to explore the profound and often enigmatic questions at the heart of human understanding. -/- Kurt Gödel's Broader Contributions to Philosophy Kurt Gödel, while primarily known for his monumental incompleteness theorems, made significant contributions that extended beyond the realm of mathematical logic. His philosophical pursuits deeply engaged with the works of eminent philosophers like Immanuel Kant and Edmund Husserl. Gödel's explorations into the nature of time, the structure of the universe, and the relationship between mathematics and reality reveal a profound and multifaceted intellectual legacy. -/- Engagement with Immanuel Kant Gödel held a deep interest in the philosophy of Immanuel Kant. He admired Kant's critical philosophy, particularly the distinction between the noumenal and phenomenal worlds. Kant posited that human experience is shaped by the mind’s inherent structures, leading to the conclusion that certain aspects of reality (the noumenal world) are fundamentally unknowable. Gödel’s incompleteness theorems echoed this Kantian theme, illustrating the limits of formal systems in capturing the totality of mathematical truth. Gödel believed that mathematical truths exis t independently of human thought, akin to Kant's noumenal realm. This philosophical alignment provided a robust foundation for Gödel's Platonism, which asserted the existence of mathematical objects as real, albeit abstract, entities. -/- Influence of Edmund Husserl Gödel was also profoundly influenced by Edmund Husserl, the founder of phenomenology. Husserl's phenomenology emphasizes the direct investigation and description of phenomena as consciously experienced, without preconceived theories about their causal explanation. Gödel saw Husserl's work as a pathway to bridge the gap between the abstract world of mathematics and concrete human experience. Husserl's ideas about the structures of consciousness and the intentionality of thought resonated with Gödel's views on mathematical intuition. Gödel believed that human minds could access mathematical truths through intuition, a concept that draws on Husserlian phenomenological methods. -/- The Nature of Time and the Universe Gödel's philosophical inquiries extended to the nature of time and the structure of the universe. His collaboration with Albert Einstein at the Institute for Advanced Study led to the development of the "Gödel metric" in 1949. This solution to Einstein's field equations of general relativity described a rotating universe where time travel to the past was theoretically possible. Gödel's model challenged conventional notions of time and causality, suggesting that the universe might have a more intricate structure than previously thought. Gödel's exploration of time was not just a mathematical curiosity but a profound philosophical statement about the nature of reality. He questioned whether time was an objective feature of the universe or a construct of human consciousness. His work hinted at a timeless realm of mathematical truths, aligning with his Platonist view. -/- Mathematics and Reality Gödel's philosophical outlook extended to the broader relationship between mathematics and reality. He believed that mathematics provided a more profound insight into the nature of reality than empirical science. For Gödel, mathematical truths were timeless and unchangeable, existing independently of human cognition. This perspective led Gödel to critique the materialist and mechanistic views that dominated 20th-century science and philosophy. He argued that a purely physicalist interpretation of the universe failed to account for the existence of abstract mathematical objects and the human capacity to understand them. Gödel's philosophy suggested a more integrated view of reality, where both physical and abstract realms coexist and inform each other. -/- Gödel's Exploration of Time Kurt Gödel, one of the most profound logicians of the 20th century, ventured beyond the confines of mathematical logic to explore the nature of time. His inquiries into the concept of time were not merely theoretical musings but were grounded in rigorous mathematical formulations. Gödel's exploration of time challenged conventional views and opened new avenues of thought in both physics and philosophy. -/- Gödel and Einstein Gödel’s interest in the nature of time was significantly influenced by his friendship with Albert Einstein. Both were faculty members at the Institute for Advanced Study in Princeton, where they engaged in deep discussions about the nature of reality, time, and space. Gödel's exploration of time culminated in his solution to Einstein's field equations of general relativity, known as the Gödel metric. -/- The Gödel Metric In 1949, Gödel presented a model of a rotating universe, which became known as the Gödel metric. This solution to the equations of general relativity depicted a universe where time travel to the past was theoretically possible. Gödel’s rotating universe contained closed timelike curves (CTCs), paths in spacetime that loop back on themselves, allowing for the possibility of traveling back in time. The Gödel metric posed a significant philosophical challenge to the conventional understanding of time. If time travel were possible, it would imply that time is not linear and absolute, as commonly perceived, but rather malleable and subject to the geometry of spacetime. This raised profound questions about causality, the nature of temporal succession, and the very structure of reality. -/- Philosophical Implications Gödel’s exploration of time extended beyond the mathematical implications to broader philosophical inquiries: Nature of Time: Gödel questioned whether time was an objective feature of the universe or a construct of human consciousness. His work suggested that our understanding of time as a linear progression from past to present to future might be an illusion, shaped by the limitations of human perception. -/- Causality and Free Will: The existence of closed timelike curves in Gödel’s model raised questions about causality and free will. If one could travel back in time, it would imply that future events could influence the past, potentially leading to paradoxes and challenging the notion of a deterministic universe. -/- Temporal Ontology: Gödel's work contributed to debates in temporal ontology, particularly the debate between presentism (the view that only the present exists) and eternalism (the view that past, present, and future all equally exist). Gödel’s rotating universe model seemed to support eternalism, suggesting a block universe where all points in time are equally real. Philosophy of Science: Gödel’s exploration of time had implications for the philosophy of science, particularly in the context of understanding the limits of scientific theories. His work underscored the importance of considering philosophical questions when developing scientific theories, as they shape our fundamental understanding of concepts like time and space. -/- Legacy Gödel’s exploration of time remains a significant and controversial contribution to both physics and philosophy. His work challenged established notions and encouraged deeper inquiries into the nature of reality. Gödel’s rotating universe model continues to be a topic of interest in theoretical physics and cosmology, inspiring new research into the nature of time and the possibility of time travel. In philosophy, Gödel’s inquiries into time have prompted ongoing debates about the nature of temporal reality, the relationship between mathematics and physical phenomena, and the limits of human understanding. His work exemplifies the intersection of mathematical rigor and philosophical inquiry, demonstrating the profound insights that can emerge from such an interdisciplinary approach. The Temporal Ontology of Kurt Gödel Kurt Gödel's profound contributions to mathematics and logic extend into the realm of temporal ontology—the philosophical study of the nature of time and its properties. Gödel's insights challenge conventional perceptions of time and suggest a more intricate, layered understanding of temporal reality. This essay explores Gödel's contributions to temporal ontology, particularly through his engagement with relativity and his philosophical reflections. -/- Gödel's Rotating Universe One of Gödel’s most notable contributions to temporal ontology comes from his work in cosmology, specifically his solution to Einstein’s field equations of general relativity, known as the Gödel metric. Introduced in 1949, the Gödel metric describes a rotating universe with closed timelike curves (CTCs). These curves imply that, in such a universe, time travel to the past is theoretically possible, presenting a significant challenge to conventional views of linear, unidirectional time. -/- Implica tions for Temporal Ontology Gödel's rotating universe model has profound implications for our understanding of time: Eternalism vs. Presentism: Gödel’s model supports the philosophical stance known as eternalism, which posits that past, present, and future events are equally real. In contrast to presentism, which holds that only the present moment exists, eternalism suggests a "block universe" where time is another dimension like space. Gödel’s rotating universe, with its CTCs, reinforces this view by demonstrating that all points in time could, in principle, be interconnected in a consistent manner. Non-linearity of Time: The possibility of closed timelike curves challenges the idea of time as a linear sequence of events. In Gödel’s universe, time is not merely a straight path from past to future but can loop back on itself, allowing for complex interactions between different temporal moments. This non-linearity has implications for our understanding of causality and the nature of temporal succession. Objective vs. Subjective Time: Gödel’s work invites reflection on the distinction between objective time (the time that exists independently of human perception) and subjective time (the time as experienced by individuals). His model suggests that our subjective experience of a linear flow of time may not correspond to the objective structure of the universe. This raises questions about the relationship between human consciousness and the underlying temporal reality. -/- Gödel and Philosophical Reflections on Time Gödel’s engagement with temporal ontology was not limited to his cosmological work. He also reflected deeply on philosophical questions about the nature of time and reality, drawing on the ideas of other philosophers and integrating them into his own thinking. Kantian Influences: Gödel was influenced by Immanuel Kant’s distinction between the noumenal world (things as they are in themselves) and the phenomenal world (things as they appear to human observers). Gödel’s views on time echoed this distinction, suggesting that our perception of time might be a phenomenon shaped by the limitations of human cognition, while the true nature of time (the noumenal aspect) might be far more complex and non-linear. Husserlian Phenomenology: Gödel’s interest in Edmund Husserl’s phenomenology also informed his views on time. Husserl’s emphasis on the structures of consciousness and the intentionality of thought resonated with Gödel’s belief in the importance of intuition in accessing mathematical truths. Gödel’s reflections on time incorporated a phenomenological perspective, considering how temporal experience is structured by human consciousness. Mathematical Platonism: Gödel’s Platonist views extended to his understanding of time. Just as he believed in the independent existence of mathematical objects, Gödel saw time as an objective entity with a structure that transcends human perception. His work on the Gödel metric can be seen as an attempt to uncover this objective structure, revealing the deeper realities that underlie our experience of time. (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)

Jean Piaget's theory of human mental development mirrors many issues related to human. According to this theory, one's view of himself, nature/universe and God is changing. According to this theory, which is basically divided into four main periods and subtitles, the thinking skill of man changes according to age, physical development, education and society. These differences affect the way individuals obtain information. Individuals who acquire knowledge with an emotional intuition before the age of seven acquire information through an inductive way, (...) in other words, through concrete intuition, through concrete processes, experimentation and observation, in parallel with the development of the brain and senses. At the age of eleven and after which intellectual reasoning develops, information becomes abstract and information is obtained through abstract intuition based on theories, hypotheses and assumptions. In the love experience of Rumi, a mystical thinker, knowledge is obtained only with emotional intuition, and it is claimed that the only way to obtain information is love-based emotional intuition. In this love-based emotional intuition, the ways of obtaining concrete/experimental and abstract/rational knowledge requiring high level mental skills are rejected and these methods are said to be 'devil’s work'. In this study, Rumi's approach to human, universe and God in this one-sided and emotional way is criticized and its inconsistency is revealed. (shrink)

All humans share a universal, evolutionarily ancient approximate number system (ANS) that estimates and combines the numbers of objects in sets with ratio-limited precision. Interindividual variability in the acuity of the ANS correlates with mathematical achievement, but the causes of this correlation have never been established. We acquired psychophysical measures of ANS acuity in child and adult members of an indigene group in the Amazon, the Mundurucú, who have a very restricted numerical lexicon and highly variable access to mathematics (...) education. By comparing Mundurucú subjects with and without access to schooling, we found that education significantly enhances the acuity with which sets of concrete objects are estimated. These results indicate that culture and education have an important effect on basic number perception. We hypothesize that symbolic and nonsymbolic numerical thinking mutually enhance one another over the course of mathematics instruction. (shrink)