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)

This article explores the main similarities and differences between Derek Parfit’s notion of imprecise comparability and a related notion I have proposed of parity. I argue that the main difference between imprecise comparability and parity can be understood by reference to ‘the standard view’. The standard view claims that 1) differences between cardinally ranked items can always be measured by a scale of units of the relevant value, and 2) all rankings proceed in terms of the trichotomy of ‘better (...) than’, ‘worse than’, and ‘equally good’. Imprecise comparability, which can be understood in terms of the more familiar notions of cardinality and incommensurability, rejects only the first claim while parity rejects both claims of the standard view. -/- I then argue that insofar as those attracted to imprecise comparability assume that all rankings are trichotomous, as Parfit appears to, the view should be rejected. This is because imprecise equality is not a form of equality but is a sui generis ‘fourth’ basic way in which items can be ranked. We should, I argue, understand imprecise equality as parity, and imprecise comparability as entailing ‘tetrachotomy’ – that if two items are comparable, one must better than, worse than, equal to, or on a par with the other. Thus those attracted to the idea that cardinality can be imprecise should abandon trichotomy and accept parity and tetrachotomy instead. -/- Finally, I illustrate the difference between Parfit’s trichotomous notion of imprecise comparability and parity by examining how each notion might be employed in different solutions to the problem posed by the Repugnant Conclusion in population ethics. I suggest that parity provides the arguably more ecumenical solution to the problem. (shrink)

This paper argues for the existence of a fourth positive generic value relation that can hold between two items beyond ‘better than’, ‘worse than’, and ‘equally good’: namely ‘on a par’.

The semeiotic of Charles Sanders Peirce is irreducibly triadic, positing that a sign mediates between the object that determines it and the interpretant that it determines. He eventually holds that each sign has two objects and three interpretants, standardizing quickly on immediate and dynamical for the objects but experimenting with a variety of names for the interpretants. The two most prominent terminologies are immediate/dynamical/final and emotional/energetic/logical, and scholars have long debated how they are related to each other. This paper seeks (...) to shed new light on the matter by reviewing the numerous manuscript drafts where Peirce develops the latter nomenclature while attempting to introduce his pragmatism to a general audience. It then goes on to examine an additional set of interpretants, intentional/effectual/communicational, and shows that the three different trichotomies can be understood as complementary, rather than redundant or conflicting. (shrink)

This paper begins with a response to Josh Gert’s challenge that ‘on a par with’ is not a sui generis fourth value relation beyond ‘better than’, ‘worse than’, and ‘equally good’. It then explores two further questions: can parity be modeled by an interval representation of value? And what should one rationally do when faced with items on a par? I argue that an interval representation of value is incompatible with the possibility that items are on a par (a mathematical (...) proof is given in the appendix). I also suggest that there are three senses of ‘rationally permissible’ which, once distinguished, show that parity does distinctive practical work that cannot be done by the usual trichotomy of relations or by incomparability. In this way, we have an additional argument for parity from the workings of practical reason. (shrink)

In his 1903 Syllabus, Charles S. Peirce makes a distinction between icons and iconic signs, or hypoicons, and briefly introduces a division of the latter into images, diagrams, and metaphors. Peirce scholars have tried to make better sense of those concepts by understanding iconic signs in the context of the ten classes of signs described in the same Syllabus. We will argue, however, that the three kinds of hypoicons can better be understood in the context of Peirce's sixty-six classes of (...) signs. We analyze examples of hypoicons taken from the field of information design, describing them in the framework of the sixty-six classes, and discuss the consequences of those descriptions to the debate about the order of determination of the 10 trichotomies that form those classes. (shrink)

Abstract McDowell's contributions to epistemology and philosophy of mind turn centrally on his defense of the Aristotelian concept of a ?rational animal?. I argue here that a clarification of how McDowell uses this concept can make more explicit his distance from Davidson regarding the nature of the minds of non-rational animals. Close examination of his responses to Davidson and to Dennett shows that McDowell is implicitly committed to avoiding the following ?false trichotomy?: that animals are not bearers of semantic (...) content at all, that they are bearers of content in the same sense we are, and that they are bearer of "as if" content. Avoiding the false trichotomy requires that we understand non-rational animals as having concepts but not as making judgments. Furthermore, we need to supplement McDowell's distinction between the logical spaces of reasons and of the realm of law with what Finkelstein calls ?the logical space of animate life?. Though McDowell has taken some recent steps to embrace a view like this, I urge a more demanding conception than what McDowell has thus far suggested. (shrink)

I defend an ontological distinction between three kinds of relation: internal,external and grounded relations. Even though, as we shall see, this trichotomy is basic, it is not found in influential contemporary metaphysics. Specifically, the widespread tendency, exemplified notably by David Armstrong, of not recognizing grounded relations as distinct from external relations, can be shown to be mistaken. I propose a definition of each of the three kinds of relation. Of vital importance to the parsimony of metaphysics, I also argue (...) that only external relations are ontologically fundamental. (shrink)

This paper suggests that it is largely a want of notional distinctions which fosters the “explanatory gap” that has beset the study of consciousness since T. Nagel’s revival of the topic. Modifying Ned Block’s controversial claim that we should countenance a “phenomenal-consciousness” which exists in its own right, we argue that there is a way to recuperate the intuitions he appeals to without engaging in an onerous reification of the facet in question. By renewing with the full type/token/tone trichotomy (...) developed by C. S. Peirce, we think the distinctness Block calls attention to can be seen as stemming not from any separate module lurking within the mind, but rather from our ability to prescind qualities from occurrences. (shrink)

At the time in which quantum mechanics engages in talks of multiverses and quantum technologies helps to realize a concept of metaverse, the so-called ‘virtual life’ has become the extended reality. Chalmers in his book rejects a dichotomy of reality and illusion and consctructs a trichotomy by adding virtuality in order to offer a proposition that a virtual world is a part of the extended reality. The author sees new philosophical challenges in this new reality. For an example, as (...) we are bound to allow some form of consciousness to a robot in a context of simulation there are questions of status of personal agency or personal identity. Traditional subjects of ontology, knowledge, and value come to us as new challenges. Despite difficulties in discussions of some topics, the author leads us to see a new horizon of possible philosophical debates for a new reality. ___ Journal of The Society of Philosophical Studies, South Korea, 138(2022.9): pp. 143-156. (shrink)

This essay is an analysis of the regionalist basis of Zeus Salazar’s nationalist historiography. It is accomplished through the exposition of his trichotomy of sarili (self), kapwa (shared self), and iba (other). The long period of colonization caused the bondage of Filipino identity to the West. It brought various implications to Filipino historiography such as the triumph of the tripartite partition of history (precolonial-colonial-postcolonial), excessive focus on colonial period, and veneration of foreign influences. It surveyed eight selected works by (...) Salazar to show how his contextualization of Filipino identity (sarili) to Pan-Malayan (malapit na kapwa) and Austronesian world (malayong kapwa) is the antidote to these problems caused by Western bondage (iba). This return to Pan-Malayan and Austronesian past of the Philippines is an instrument for the decolonization of the national consciousness, toward an interaction of “sarili” to “kapwa” and “iba” as its equal. (shrink)