Class,mass and mereology

LeSniewski’s systems of Ontology and Mereology, considered from a purely formal point of view, possessstriking algebraic parallels, ascan be seen in their respective relations to Boolean algebra. But there are alsoimportant divergences, above all that general Mereology is silent, where Ontology is not, on the existenceof ‘atoms’ (individuals). By employing plural terms, LeSniewski sought to accommodate talk of (distributive)classes, without according these an autonomous ontological status. His logic also – like predicate logic– has no place for mass predication in its raw state. It is argued that reference both to pluralities and tomasses is ineliminable, and that one must therefore separate the grammatical distinction singular/pluralfrom the ontological distinction individual/class/mass. A kind of language, modelled on kiniewski’s, issuggested which enables these distinctions to be held apart and at the same time, building on the work ofRichard Sharvy, allows us to express the most important relationships between individuals, classes andmasses.     

Object Theory and Modal Meinongianism

In this paper, we compare two theories, modal Meinongianism (MM) and object theory (OT), with respect to several issues that have been discussed recently in the literature. In particular, we raise some objections for MM, undermine some of the objections that its defenders raise for OT, and we point out some virtues of the latter with respect to the former.     

Hegel,Schelling and Laozi on Nothingness

This article looks at Hegel’s and Schelling’s discussions of Laozi’s wu 無 in History of Philosophy and Philosophy of Mythology respectively, and then relates them back to those two Western thinkers’ own understandings of the concept of nothingness. This exploration demonstrates that while Hegel sees nothingness more as a logical concept not different from being, Schelling equates Laozi’s wu with Nichtseiende of the first potency in his theory of the potencies of God. This article will further put the question in perspective by examining or speculating how the three philosophers would address the problem of ex nihilo nihil fit. Finally, it will highlight the striking similarity between the views of Schelling and Laozi regarding the role of the will or desire (yu 欲), in our knowledge about nothingness: While Schelling’s first potency, Nichtseiende, is a “not willing will,” the second potency is “willing” and therefore the beginning of existence. Laozi, on the other hand, believes that without desire we can discern the ultimate mystery, while with desire we can only see the outer fringe of things. However, Laozi differs from Schelling in that the latter’s willing God is absent in his philosophy.     

The mereology of thermodynamic equilibrium

The special composition question (SCQ), which asks under which conditions objects compose a further object, establishes a central debate in modern metaphysics. Recent successes of inductive metaphysics, which studies the implications of the natural sciences for metaphysical problems, suggest that insights into the SCQ can be gained by investigating the physics of composite systems. In this work, I show that the minus first law of thermodynamics, which is concerned with the approach to equilibrium, leads to a new approach to the SCQ, the thermodynamic composition principle (TCP): Multiple systems in (generalized) thermal contact compose a single system. This principle, which is justified based on a systematic classification of possible mereological models for thermodynamic systems, might form the basis of an inductive argument for universalism. A formal analysis of the TCP is provided on the basis of mereotopology, which is a combination of mereology and topology. Here, “thermal contact” can be analyzed using the mereotopological predicate “self-connectedness”. Self-connectedness has to be defined in terms of mereological sums to ensure that scattered objects cannot be self-connected.

     

Two‐Dimensional Modal Meinongianism

The aim of this paper is to show that Priest's (2005) modal Meinongianism might benefit from joining forces with two‐dimensionalism. For this purpose, I propose a two‐dimensional solution to a problem for modal Meinongianism that is posed by Beall (2006), Sauchelli (2012), and Milne (2013), and show that, by taking recourse to two‐dimensionalism, divergent intuitions about the question of whether fictional characters might exist can be reconciled. Moreover, two‐dimensionalism helps to rebut Kroon's (2012) argument to the conclusion that modal Meinongianism cannot rule out the odd claim that some non‐existent objects have existence‐entailing properties at the actual world. 1     

The nonclassical mereology of olfactory experiences

Synthese - While there is a growing philosophical interest in analysing olfactory experiences, the mereological structure of odours considered in respect of how they are perceptually experienced...     

Modal Meinongianism and fiction: the best of three worlds

We outline a neo-Meinongian framework labeled as Modal Meinongian Metaphysics (MMM) to account for the ontology and semantics of fictional discourse. Several competing accounts of fictional objects are originated by the fact that our talking of them mirrors incoherent intuitions: mainstream theories of fiction privilege some such intuitions, but are forced to account for others via complicated paraphrases of the relevant sentences. An ideal theory should resort to as few paraphrases as possible. In Sect. 1, we make this explicit via two methodological principles, called the Minimal Revision and the Acceptability Constraint. In Sect. 2, we introduce the standard distinction between internal and external fictional discourse. In Sects. 3–5, we discuss the approaches of (traditional) Meinongianism, Fictionalism, and Realism—and their main troubles. In Sect. 6 we propose our MMM approach. This is based upon (1) a modal semantics including impossible worlds (Subsect. 6.1); (2) a qualified Comprehension Principle for objects (Subsect. 6.2); (3) a notion of existence-entailment for properties (Subsect. 6.3). In Sect. 7 we present a formal semantics for MMM based upon a representation operator. And in Sect. 8 we have a look at how MMM solves the problems of the three aforementioned theories.     

Nothingness and the Human Umwelt

In the paper I argue that the great impact of empiricism on psychology and the enclosed dualist agenda traps psychological phenomena into subjectivism. By discussing the phenomena of nothingness in biological and cultural life it is argued that meaning must be considered as a phenomenon that represents both a fit and a misfit of the individual with the environment. By stressing the overall presence of nothingness phenomena it is argued how the reduced ontology of empiricism—and its blindness to relations and transformations out of which meaning grows—should be overcome. In human cultural life, transformations are constitutive and ongoing changes are being produced to make sure that continuity as well as discontinuity will happen. The analysis of especially one case—the removal of an Amish school after a shooting episode—serves to prove how meaning grows out of cultural processes as people produce their own conditions of life. From a cultural-ecological point of view, analyzing meaning at the level of individual phenomenology, hence, means analyzing the ‘total psychological situation’ (legacy of Kurt Lewin). This may for instance include analyzing how people live, what they consider important and worth preserving, what must be changed, what are their core values and how do institutional arrangements contribute to keeping up that which is valued or to changing that which is not, etc. Meaning may be viewed the lived-out experience—the domain of self-generativity in human life.     

The Presumption of Nothingness

Several distinguished philosophers have argued that since the state of affairs where nothing exists is the simplest and least arbitrary of all cosmological possibilities, we have reason to be surprised that there is in fact a non-empty universe. We review this traditional argument, and defend it against two recent criticisms put forward by Peter van Inwagen and Derek Parfit. Finally, we argue that the traditional argument nevertheless needs reformulation, and that the cogency of the reformulated argument depends partly on whether there are certain conceptual limitations to what a person can hypothetically doubt.     

Prolegomena to any future mereology of the body

Many bioethical arguments rely implicitly on the assumption that the concept of “human part” is one on which everyone must agree, because it is unambiguous. But various parties interpret this “unambiguous” term in incompatible ways, leading to contention. This article is an informal presentation of a topomereological system on whose preferred interpretation several distinct but related meanings of “human part” can be isolated: part of a human body, part of the completion of a human body, and part of a human being. A case is analyzed (the first total artificial heart (TAH) implantation), demonstrating in the process much of the apparatus of the system. By means of a casuistic methodology, the analysis is translated into recommendations for the ethical conduct of future TAH research. The more general conclusion, however, is that formal methods may provide useful tools for clarifying thought processes and organizing arguments in debates over bioethical issues.     

Parts, classes and Parts of Classes: an anti-realist reading of Lewisian mereology

This study is in two parts. In the first part, various important principles of classical extensional mereology are derived on the basis of a nice axiomatization involving ‘part of’ and fusion. All results are proved here with full Fregean (and Gentzenian) rigor. They are chosen because they are needed for the second part. In the second part, this natural-deduction framework is used in order to regiment David Lewis’s justification of his Division Thesis, which features prominently in his combination of mereology with class theory. The Division Thesis plays a crucial role in Lewis’s informal argument for his Second Thesis in his book Parts of Classes. In order to present Lewis’s argument in rigorous detail, an elegant new principle is offered for the theory that combines class theory and mereology. The new principle is called the Canonical Decomposition Thesis. It secures Lewis’s Division Thesis on the strong construal required in order for his argument to go through. The exercise illustrates how careful one has to be when setting up the details of an adequate foundational theory of parts and classes. The main aim behind this investigation is to determine whether an anti-realist, inferentialist theorist of meaning has the resources to exhibit Lewis’s argument for his Second Thesis—which is central to his marriage of class theory with mereology—as a purely conceptual one. The formal analysis shows that Lewis’s argument, despite its striking appearance to the contrary, can be given in the constructive, relevant logic IR. This is the logic that the author has argued, elsewhere, to be the correct logic from an anti-realist point of view. The anti-realist is therefore in a position to regard Lewis’s argument as purely conceptual.     

Now,Imagine an Actually Existing Unicorn: On Russellian Worries for Modal Meinongianism

Axiomathes - Modal Meinongianism provides the semantics of sentences involving intentional verbs Priest (Towards Nonbeing, Oxford University Press, Oxford, 2016). To that end, Modal Meinongianism...