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.     

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.

     

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 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.     

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...     

Sartre and Bergson: A Disagreement about Nothingness

Abstract

Henri Bergson's philosophy, which Sartre studied as a student, had a profound but largely neglected influence on his thinking. In this paper I focus on the new light that recognition of this influence throws on Sartre's central argument about the relationship between negation and nothingness in his Being and Nothingness. Sartre's argument is in part a response to Bergson's dismissive, eliminativist account of nothingness in Creative Evolution (1907): the objections to the concept of nothingness with which Sartre engages are precisely those raised by Bergson. Even if Sartre's account of nothingness in its entirety is found to be flawed, I argue that the points he makes specifically against Bergson are powerful.

My discussion concludes with a brief examination of the wider philosophical background to Sartre's and Bergson's discussion of nothingness: here I point to some important aspects of Sartre's early philosophy, including some features of his conception of nothingness, that may testify to Bergson's positive influence on his thought.     

从物化到虚无:关联与重思

作为一个现代性反思的概念,"物化"应予以细分。分别对应Verdinglichung和Versachlichung的是"物化"与"物象化"("事化")。"物象化"("事化")是切入问题的关键,它意味着制度愈来愈成熟、规范、严格、见事(物)不见人。是着眼于其效率的提高还是对个性的压抑?无论如何,立场的选取,相应的认知方式,都会驱使"虚无"问题的呈现。"虚无主义"意味着一种现代化的方案,意味着一种整合各种价值的雄心,一种整体地把握世界的冲动,更意味着难以割舍的主体性立场。这个主体性立场规定着谈论"物化"与"虚无"的基本边界。     

Minimally inconsistent LP

The paper explains how a paraconsistent logician can appropriate all classical reasoning. This is to take consistency as a default assumption, and hence to work within those models of the theory at hand which are minimally inconsistent. The paper spells out the formal application of this strategy to one paraconsistent logic, first-order LP. (See, Ch. 5 of: G. Priest, In Contradiction, Nijhoff, 1987.) The result is a strong non-monotonic paraconsistent logic agreeing with classical logic in consistent situations. It is shown that the logical closure of a theory under this logic is trivial only if its closure under LP is trivial.