This paper responds to commentaries by Kaiserman and Magidor, and Hawthorne. The case of the infinite clowns can teach us several things.

A lot of philosophers engage in debates about what claims are “metaphysically necessary”, and a lot more assume with little argument that some classes of claims have the status of “metaphysical necessity”. I think we can usefully replace questions about metaphysical necessity with five other questions which each capture some of what people may have had in mind when talking about metaphysical necessity. This paper explains these five other questions, and then discusses the question “how much of metaphysics is metaphysically (...) necessary?”, and each of its five replacements. (shrink)

This paper makes a case that we should believe in the existence of worldly states of affairs.

Zurvanism was an ancient variant of Zoroastrianism. According to Zurvanism, the great powers of good and evil, Ahura Mazda and Angra Mainyu, were the sons of a greater god Zurvan, associated with time. According to Eudemus of Rhodes, some Persian thinkers, presumably Zurvanists, took there to be three great principles underlying the world: light, darkness, and greatest of all time (or perhaps, according to Eudemus, space). This paper explores what metaphysics might underlie these doctrines, and what contemporary options we have (...) for making sense of a metaphysics where time is the ultimate principle. Among the options explored is the option that despite appearance many of the entities of the concrete world are identical to stretches of time, or are somehow aspects of stretches of time; that they include times as parts, or are included in times as parts; that they are somehow properties of time; or hylomorphic compounds of which time is the matter; that the world is somehow a mixture of time, light, and dark; or that somehow the ends or teloi of everyday objects and processes are to be found among good, evil, and time. (shrink)

Methodological naturalism arises as a topic in metaethics in two ways. One is the issue of whether we should be methodological naturalists when doing our moral theorising, and another is whether we should take a naturalistic approach to metaethics itself. Interestingly, these can come apart, and some naturalist programs in metaethics justify a non-scientific approach to our moral theorising. This paper discusses the range of approaches that fall under the general umbrella of methodological naturalism, and how naturalists view the role (...) of science in ethics and metaethics. It discusses how naturalism interacts with the use of intuitions, using conceptual analysis, and reflective equilibrium methods. Finally, it discusses some ways using scientific investigation can make distinctive contributions to ethics and metaethics. (shrink)

Thought experiments are common where infinitely many entities acting in concert give rise to strange results. Some of these cases, however, can be generalized to yield almost omnipotent systems from limited materials. This paper discusses one of these cases, bringing out one aspect of what seems so troubling about "New Zeno" cases. -/- This paper is in memory of Josh Parsons.

Possible worlds have found many applications in contemporary philosophy: from theories of possibility and necessity, to accounts of conditionals, to theories of mental and linguistic content, to understanding supervenience relationships, to theories of properties and propositions, among many other applications. Almost as soon as possible worlds started to be used in formal theories in logic, philosophy of language, philosophy of mind, metaphysics, and elsewhere, theorists started to wonder whether impossible worlds should be postulated as well. In many applications, possible worlds (...) face limitations that can be dealt with through postulating impossible worlds as well. This chapter examines some of the uses of impossible worlds, and philosophical challenges theories of impossible worlds face. (shrink)

This paper examines both creepiness and the distinctive reaction had to creepiness, being “creeped out.” The paper defends a response-dependent account of creepiness in terms of this distinctive reaction, contrasting our preferred account to others that might be offered. The paper concludes with a discussion of the value of detecting creepiness.

An overview of hyperintensionality is provided. Hyperintensional languages have expressions with meanings that are more fine-grained than necessary equivalence. That is, the expressions may necessarily co-apply and yet be distinct in meaning. Adequately accounting for theories cast in hyperintensional languages is important in the philosophy of language; the philosophy of mind; metaphysics; and elsewhere. This entry presents a number of areas in which hyperintensionality is important; a range of approaches to theorising about hyperintensional matters; and a range of debates that (...) attention to hyperintensional constructions has generated. (shrink)

In this paper, I motivate the view that quantitative parsimony is a theoretical virtue: that is, we should be concerned not only to minimize the number of kinds of entities postulated by our theories (i. e. maximize qualitative parsimony), but we should also minimize the number of entities postulated which fall under those kinds. In order to motivate this view, I consider two cases from the history of science: the postulation of the neutrino and the proposal of Avogadro's hypothesis. I (...) also consider two issues concerning how a principle of quantitative parsimony should be framed. (shrink)

This paper explores a special kind of loop of grounding: cosmic loops. A cosmic loop is a loop that intuitively requires us to go "around" the entire universe to come back to the original ground. After describing several kinds of cosmic loop scenarios, I will discuss what we can learn from these scenarios about constraints on grounding; the conceivability of cosmic loops; the possibility of cosmic loops; and the prospects for salvaging local reflexivity, asymmetry and transitivity of grounding in a (...) world containing a cosmic loop of ground. The considerations raised in this paper also bear on what we should think about relations that are meant to support grounding relations: in particular, revisions to theories of the part-whole relation are discussed. (shrink)

Impossible fictions are valuable evidence both for a theory of fiction and for theories of meaning, mind and epistemology. This article focuses on what we can learn about fiction from reflecting on impossible fictions. First, different kinds of impossible fiction are considered, and the question of how much fiction is impossible is addressed. What impossible fiction contributes to our understanding of "truth in fiction" and the logic of fiction will be examined. Finally, our understanding of unreliable narrators and unreliable narration (...) in fiction needs to accommodate stories that, on the face of it, cannot possibly be true. (shrink)

David Lewis’s arguments against magical ersatzism are notoriously puzzling. Untangling different strands in those arguments is useful for bringing out what he thought was wrong with not just one style of theory about possible worlds, but with much of the contemporary metaphysics of abstract objects. After setting out what I take Lewis’s arguments to be and how best to resist them, I consider the application of those arguments to general theories of properties and relations. The constraints Lewis motivates turn out (...) to yield an argument for concretism about possible individuals that is quite different from the better-known Lewisian arguments for that position. The discussion also touches on the puzzling question of whether things are the way they are because of the properties they have, or are the properties and relations the way they are because of the things that have them. (shrink)

Abstract There are at least eight good reasons practicing historians should concern themselves with counterfactual claims. Furthermore, four of these reasons do not even require that we are able to tell which historical counterfactuals are true and which are false. This paper defends the claim that these reasons to be concerned with counterfactuals are good ones, and discusses how each can contribute to the practice of history. Content Type Journal Article Pages 1-19 DOI 10.1007/s11098-011-9817-z Authors Daniel Nolan, School (...) of Philosophy, Australian National University, 0200 Canberra, Australia Journal Philosophical Studies Online ISSN 1573-0883 Print ISSN 0031-8116. (shrink)

A lot of good philosophy is done in the armchair, but is nevertheless a posteriori. This paper clarifies and then defends that claim. Among the a posteriori activities done in the armchair are assembling and evaluating commonplaces; formulating theoretical alternatives; and integrating well-known past a posteriori discoveries. The activity that receives the most discussion, however, is the application of theoretical virtues to choose philosophical theories: the paper argues that much of this is properly seen as a posteriori.

The philosophy of necessity and possibility has flourished in the last half-century, but much less attention has been paid to the question of how we know what can be the case and what must be the case. Many friends of modal metaphysics and many enemies of modal metaphysics have agreed that while empirical discoveries can tell us what is the case, they cannot shed much light on what must be the case or on what non-actual possibilities there are. In this (...) paper, in contrast, I discuss and defend naturalistic approaches to discovering the facts about necessity and possibility. After some remarks about what methodological naturalism in philosophy might amount to, I argue that naturalistic method in modal investigations may not need to be particularly revisionary of much of what is currently being done in modal investigation. I then discuss a number of respects in which a naturalistic orientation in modal investigation may improve on our current epistemic situation. (shrink)

Curry's paradox for "if.. then.." concerns the paradoxical features of sentences of the form "If this very sentence is true, then 2+2=5". Standard inference principles lead us to the conclusion that such conditionals have true consequents: so, for example, 2+2=5 after all. There has been a lot of technical work done on formal options for blocking Curry paradoxes while only compromising a little on the various central principles of logic and meaning that are under threat. -/- Once we have a (...) sense of the technical options, though, a philosophical choice remains. When dealing with puzzles in the logic of conditionals, a natural place to turn is independently motivated semantic theories of the behaviour of "if... then...". This paper argues that the closest-worlds approach outlined in Nolan 1997 offers a philosophically satisfying reason to deny conditional proof and so block the paradoxical Curry reasoning, and can give the verdict that standard Curry conditionals are false, along with related "contraction conditionals". (shrink)

One increasingly popular technique in philosophy might be called the "platitudes analysis": a set of widely accepted claims about a given subject matter are collected, adjustments are made to the body of claims, and this is taken to specify a “role” for the phenomenon in question. (Perhaps the best-known example is analytic functionalism about mental states, where platitudes about belief, desire, intention etc. are together taken to give us a "role" for states to fill if they are to count as (...) mental states.) We then look to our best theory of the world to see where this role is satisfied, if at all. Unfortunately, the platitudes analysis, so characterised, does not seem to help when we are doing fundamental metaphysics—when we want to know what, at base, our world is like (and not merely where things like e.g. the mental would be found in an already-specified ontology). Nevertheless, I will argue that the platitudes analysis, properly understood, does have the materials to help us answer questions in fundamental metaphysics as well. I will explore three different ways it can do so. (shrink)

Creationism about fictional entities requires a principle connecting what fictions say exist with which fictional entities really exist. The most natural way of spelling out such a principle yields inconsistent verdicts about how many fictional entities are generated by certain inconsistent fictions. Avoiding inconsistency without compromising the attractions of creationism will not be easy.

What is the connection between valid inference and true conditionals? Many conditional logics require that when A is a logical consequence of B, "if B then A" is true. Taking counterlogical conditionals seriously leads to systems that permit counterexamples to that general rule. However, this leaves those of us who endorse non-trivial accounts of counterpossible conditionals to explain what the connection between conditionals and consequence is. The explanation of the connection also answers a common line of objection to non-trivial counterpossibles, (...) which is based on a transition from valid arguments to the corresponding conditionals. It also contributes to the wider project of illuminating the connections between contexts of utterance, on the one hand, and the truth-conditions of conditionals uttered in those contexts, on the other. (shrink)

There’s an argument around from so-called “linguistic theories of vagueness”, plus some relatively uncontroversial considerations, to powerful metaphysical conclusions. David Lewis employs this argument to support the mereological principle of unrestricted composition, and Theodore Sider employs a similar argument not just for unrestricted composition but also for the doctrine of temporal parts. This sort of argument could be generalised, to produce a lot of other less palatable metaphysical conclusions. However, arguments to Lewis’s and Sider’s conclusions on the basis of considerations (...) about vagueness are uncompelling, even if we accept the crucial premises about vagueness. And a good thing too, since the generalised form of the argument would prove far too much. (shrink)

Williamson proposes that a "suppositional procedure" is a central heuristic we use to evaluate the truth of conditionals, though he also argues that this method often leads us astray. An alternative approach to the link between supposition and conditionals is to claim that we are guided by our antecedent conditional judgements in our supposing, and in particular in our determining which things follow from an initial supposition. This alternative explanation of the close link between conditionals and supposition is developed and (...) compared to Williamson's proposal. (shrink)

A standing challenge in the theory of counterfactuals is to solve the “deviation problem”. Consider ordinary counterfactuals involving an antecedent concerning a difference from the actual course of events at a particular time, and a consequent concerning, at least in part, what happens at a later time. In the possible worlds framework, the problem is often put in terms of which are the relevant antecedent worlds. Desiderata for the solution include that the relevant antecedent worlds be governed by the actual (...) laws of nature with no miracles; that the past in those worlds before the antecedent time matches the actual past; that the account is compatible with determinism, and that many of our ordinary counterfactual judgments are correct, and would be correct even given determinism. Many theorists have compromised on one or more of these desiderata, but this paper presents an account employing impossible worlds that satisfies them all. (shrink)

Unified theories of de se attitudes and de dicto attitudes, along the lines of David Lewis’s proposal, face a problem. Whether or not they are adequate for representing beliefs, they can misrepresent the content of many of our desires, which rank possible outcomes in which the agent with the desire does not exist. These desires are shown to play a role in the rational explanation of action, and recognising them is important in our understanding of ourselves. Lewis’s account of attitudes (...) de dicto and de se is shown to be unsatisfactory, and the lessons learned are applied more broadly. (shrink)

I argue that Graham Priest's story 'Sylvan's Box' has an attractive consistent reading. Priest's hope that this story can be used as an example of a non-trivial 'essentially inconsistent' story is thus threatened. I then make some observations about the role 'Sylvan's Box' might play in a theory of unreliable narrators.

This paper argues that all of the standard theories about the divisions of space and time can benefit from, and may need to rely on, parsimony considerations. More specifically, whether spacetime is discrete, gunky or pointy, there are wildly unparsimonious rivals to standard accounts that need to be resisted by proponents of those accounts, and only parsimony considerations offer a natural way of doing that resisting. Furthermore, quantitative parsimony considerations appear to be needed in many of these cases.

The question of what truths are necessary in the broadest possible sense is a difficult one to answer, as is the question of what the limits are to what is possible. (Most people would see these two questions as different sides of the same coin, of course, since many think the question of what is possible is just the question of what is not necessarily ruled out). We have three general sorts of strategies for determining whether something is necessary (or (...) possible). We can identify it in a class that we were previously sure was a class of things that are necessary – we might show it is a theorem of a logical system that we have confidence in, or that the sentence appears to be true simply in virtue of the meanings of the words, or that it is a true statement involving names or about natural kinds of the “necessary a posteriori” sort discussed by Kripke and Putnam, and there are perhaps other classes of claims which we are prepared to accept are necessary if true.1 Likewise, we might establish the possibility of something occurring by reference to a class of well-established or uncontroversial possibilities: e.g. we are inclined to think that it is possible (in the broadest sense) for an event to occur in the future if one of the same kind has occurred in the past. (shrink)

Lewis is famous as a contemporary philosophical system-builder. The most obvious way his philosophy exhibited a system was in its content: Lewis’s metaphysics, for example, provided answers to many metaphysical puzzles in an integrated way, and there are illuminating connections to be drawn between his general metaphysical views and, for example, his various views about the mind and its place in nature.

the virtues which are desirable for scientific theories to possess. In this paper I discuss the several species of theoretical virtues called 'fertility', and argue in each case that the desirability of 'fertility' can be explicated in terms of other, more fundamental theoretical virtues.

To what extent do true predications correspond to truthmakers in virtue of which those predications are true? One sort of predicate which is often thought to not be susceptible to an ontological treatment is a predicate for instantiation, or some corresponding predication (trope-similarity or set-membership, for example). This paper discusses this question, and argues that an "ontological" approach is possible here too: where this ontological approach goes beyond merely finding a truthmaker for claims about instantiation. Along the way a version (...) of the problem of the regress of instantiation is posed and solved. (shrink)

Readers of fictions sometimes resist taking certain kinds of claims to be true according to those fictions, even when they appear explicitly or follow from applying ordinary principles of interpretation. This "imaginative resistance" is often taken to be significant for a range of philosophical projects outside aesthetics, including giving us evidence about what is possible and what is impossible, as well as the limits of conceivability, or readers' normative commitments. I will argue that this phenomenon cannot do the theoretical work (...) that has been asked of it. Resistance to taking things to be fictional is often best explained by unfamiliarity with kinds of fictions than any representational, normative, or cognitive limits. With training and experience, any understandable proposition can be made fictional and be taken to be fictional by readers. This requires a new understanding both of imaginative resistance, and what it might be able to tell us about topics like conceivability or the bounds of possibility. (shrink)

This paper discusses an infinite regress that looms behind a certain kind of historical explanation. The movement of one barbarian group is often explained by the movement of others, but those movements in turn call for an explanation. While their explanation can again be the movement of yet another group of barbarians, if this sort of explanation does not stop somewhere we are left with an infinite regress of barbarians. While that regress would be vicious, it cannot be accommodated by (...) several general views about what viciousness in infinite regresses amounts to. This example is additional evidence that we should prefer a pluralist approach to infinite regresses. (shrink)

A principle endorsed by many theories of objective chance, and practically forced on us by the standard interpretation of the Kolmogorov semantics for chance, is the principle that when a proposition P has a chance, any proposition Q that is necessarily equivalent to P will have the same chance as P. Call this principle SUB (for the substitution of necessary equivalents into chance ascriptions). I will present some problems for a theory of chance, and will argue that the best way (...) to resolve these problems is to reject SUB, and similar principles e.g. for the chances of outcomes or the chances of events. Objective chance, it turns out, carves things more finely than necessary equivalence does. (shrink)

_ Source: _Volume 10, Issue 3, pp 441 - 456 Several kinds of historical alternatives are distinguished. Different kinds of historical alternatives are valuable to the practice of history for different reasons. Important uses for historical alternatives include representing different sides of historical disputes; distributing chances of different outcomes over alternatives; and offering explanations of why various alternatives did _not_ in fact happen. Consideration of counterfactuals about what would have happened had things been different in particular ways plays particularly useful (...) roles in reasoning about historical analogues of current conditions; reasoning about causal claims; and in evaluating historical explanations. When evaluating the role of alternative histories in historical thinking, we should keep in mind the uses of historical alternatives that go well beyond the long-term and specific scenarios that are the focus of so-called “counterfactual history”. (shrink)

One of the standard approaches to the metaphysics of personal identity has some counter-intuitive ethical consequences when combined with maximising consequentialism and a plausible doctrine about aggregation of consequences. This metaphysical doctrine is the so-called ‘multiple occupancy’ approach to puzzles about fission and fusion. It gives rise to a new version of the ‘utility monster’ problem, particularly difficult problems about infinite utility, and a new version of a Parfit-style ‘repugnant conclusion’. While the article focuses on maximising consequentialism for simplicity, the (...) problems demonstrated apply more widely to a range of ethical views, especially flavours of consequentialism. This article demonstrates how these problems arise, and discusses a number of options available in the light of these problems for a consequentialist tempted by a multiple occupancy metaphysics. (shrink)

Abstract Impossible fictions have lessons to teach us about linguistic representation, about mental content and concepts, and about uses of conceivability in epistemology. An adequate theory of impossible fictions may require theories of meaning that can distinguish between different impossibilities; a theory of conceptual truth that allows us to make useful sense of a variety of conceptual falsehoods; and a theory of our understanding of necessity and possibility that permits impossibilities to be conceived. After discussing these questions, strategies for resisting (...) the picture of impossible fictions presented here and in Part I are discussed. Perhaps apparently impossible fictions describe possibilities after all; or perhaps impossible fictions are all trivial; or perhaps some apparently intelligible impossible fictions are unintelligible after all. (shrink)

Part of a book symposium on Graham Priest's Towards Non-Being.

When invited to consider the methodology of contemporary metaphysics, quite a number of procedures spring to mind as part of the metaphysician's toolkit. These include: eliciting and relying on intuitions; solving location problems and using “conceptual analysis”; inference to the best theory, both on internal metaphysical grounds and drawing from the theoretical reaches of the sciences; working on topics clearly close to, or even overlapping, those of other areas of inquiry using techniques of those other areas; achieving coherence with other (...) theories developed with other aims; and employing deductive reasoning to yield surprising conclusions. Many of these techniques are associated with significant and growing literatures about their scope, epistemic justification, suitability to different metaphysical problems, and so on. (shrink)

This chapter provides an introduction to possible worlds semantics in both logic and the philosophy of language, including a discussion of some of the advantages and challenges for possible worlds semantics.

When charitable matching occurs, both the person initially offering the matching donation and the person taking up the offer may well feel they have done something better than if they had donated on their own without matching. They may well feel they deserve some credit for the matched donation as well as their own. Can they both be right? Natural assumptions about charitable matching lead to puzzles that are challenging to resolve in a satisfactory way.

In Metaphysics A, Aristotle offers some objections to Plato’s theory of Forms to the effect that Plato’s Forms would not be explanatory in the right way, and seems to suggest that they might even make the explanatory project worse. One interesting historical puzzle is whether Aristotle can avoid these same objections to his own theory of universals. The concerns Aristotle raises are, I think, cousins of contemporary concerns about the usefulness and explanatoriness of abstract objects, some of which have recently (...) been receiving attention in the philosophy of mathematics. After discussing Aristotle’s objections and their contemporary cousins, the paper discusses some of the main available lines of response to these sorts of challenges, before concluding with an examination of whether these responses could assist Plato or Aristotle in responding to these challenges. (shrink)

The ontological pictures underpinning David Lewis's Parts of Classes and On the Plurality of Worlds are in some tension. One tension concerns whether the sets and classes of Parts of Classes can be found in Lewis's modal space, since they cannot in general be parts of any possible world. The second is that the atoms that are the mathematical ontology of Parts of Classes seem to meet the criteria for being possible worlds themselves, and so fail to be the material (...) Parts of Classes needs. Two different responses to these tensions are discussed: one is unappealing in several ways but keeps more of Lewis's doctrines, while the other requires some modifications to the system of Parts of Classes. (shrink)

Thinking about metaphysical problems in terms of grounding has its uses, but those uses are limited. This paper argues against attempts to see issues of grounding as having a central and organising role in metaphysical inquiry. After arguing that grounding does some useful work, this paper will argue that grounding is neither the central tool for understanding explanation in metaphysics, nor defines the subject matter of metaphysics. Instead, grounding tracks only some of the metaphysical explanations we should be looking for, (...) and is only one among many of the topics metaphysics aims to address. (shrink)

Marriages come in a very wide variety: if the reports of anthropologists and historians are to be believed, an extraordinarily wide variety. This includes some of the more unusual forms, including marriage to the dead; to the gods; and even to plants. This does suggest that few proposed marriage relationships would require 'redefining marriage': but on the other hand, it makes giving a general theory of marriage challenging. So one issue we should face is how accepting we should be of (...) the reports: to what extent reported 'marriages' really are marriages. This paper defends the view that almost all of these reported marriages are in fact marriages, and suggests some theoretical approaches that may be generous enough to account for this. (shrink)

A pressing problem for many non-realist1 theories concerning various specific subject matters is the challenge of making sense of our ordinary propositional attitude claims related to the subject in question. Famously in the case of ethics, to take one example, we have in ordinary language prima facie ascriptions of beliefs and desires involving moral properties and relationships. In the case, for instance, of “Jason believes that Kylie is virtuous”, we appear to have a belief which takes Kylie to be a (...) certain way. If Jason desires that Kylie acts as she ought, he appears to have a desire which has as its content that Kylie perform actions of a certain sort (i.e. the actions that she ought to perform). However, for non-cognitivists in ethics who reject the idea that sentences such as “Kylie is virtuous” or “Kylie acts as she ought” are in the business of making truth-apt claims, or representing that certain moral features are possessed by objects or events, or even, in extreme cases, that such claims express propositions at all, the semantic analysis of the example propositional attitude claims made about Jason will have to be non-standard. (This is merely an application of the well-known “Frege-Geach problem” (see Geach 1965) to the case of embedding moral vocabulary in propositional-attitude ascriptions.). (shrink)

Parties to a temporary marriage agree in advance that their marriage will only last for a fixed period of time unless renewed: that it will automatically expire after two years, for instance, or five, or twenty. This paper defends the claim that temporary marriages deserve state recognition. The main argument for this is an application of a principle of marriage equality. Some other arguments for are also canvassed, including an argument from religious freedom, and a number of arguments against recognition (...) are also discussed. The paper also discusses the question of whether such “temporary marriages” are in fact a kind of marriage, and defends the claim that they are, or would be, genuinely marriages. (shrink)

In May 1999, David Lewis sent Timothy Williamson an intriguing letter about knowledge and vagueness. This paper has a brief discussion of Lewis on evidence, and a longer discussion of a distinctive theory of vagueness Lewis puts forward in this letter, one rather different from standard forms of supervaluationism. Lewis's theory enables him to provide distinctive responses to the challenges to supervaluationism famously offered in chapter 5 of Timothy Williamson's 1994 book Vagueness. However these responses bring out a number of (...) very surprising features of Lewis's own view. -/- The letter from Lewis itself is available on the blog of The Age of Metaphysical Revolution Project, University of Manchester. (shrink)

This introduction to the roles infinity plays in metaphysics includes discussion of the nature of infinity itself; infinite space and time, both in extent and in divisibility; infinite regresses; and a list of some other topics in metaphysics where infinity plays a significant role.

Chrysippus often talks as if there is a third option when we might expect that two options in response to a question are exhaustive. Things are true, false or neither; equal, unequal, or neither; the same, different, or neither.. and so on. There seems to be a general pattern here that calls for a general explanation. This paper offers a general explanation of this pattern, preserving Stoic commitments to excluded middle and bivalence, arguing that Chrysippus employs this trichotomy move when (...) he wishes to argue that apparent contradictories are only contraries, and wishes to endorse a third option. This general explanation of the pattern of trichotomies sheds light on a number of interpretive puzzles, including on Chrysippus's response to the paradox of the cone. The purpose of these trichotomies is also discussed, and it is suggested that they originate from the dialectical context in which philosophical problems were posed. (shrink)