We can see mereology as a theory of parthood and topology as a theory of wholeness. How can these be combined to obtain a unified theory of parts and wholes? This paper examines various non-equivalent ways of pursuing this task, with specific reference to its relevance to spatio-temporal reasoning. In particular, three main strategies are compared: (i) mereology and topology as two independent (though mutually related) chapters; (ii) mereology as a general theory subsuming topology; (iii) topology as a general (...) theory subsuming mereology. Some more speculative strategies and directions for further research are also considered. (shrink)

To what extend can genuinely mereological considerations apply to talk of wholes and parts in discussions of the relationship between individual persons and the social groups, etc. to which they belong?

Reconstructability analysis (RA) decomposes wholes, namely data in the form either of set theoretic relations or multivariate probability distributions, into parts, namely relations or distributions involving subsets of variables. Data is modeled and compressed by variable-based decomposition, by more general state-based decomposition, or by the use of latent variables. Models, which specify the interdependencies among the variables, are selected to minimize error and complexity.

The centrality of the whole/part relation in mathematics is demonstrated through the presentation and analysis of examples from algebra, geometry, functional analysis,logic, topology and category theory.

The paper argues that very different part-whole relations hold between different kinds of entities. While these relations share most of their formal properties, they need not share all of them. Nor need other mereological principles be true of all kinds of part–whole pairs. In particular, it is argued that the principle of unrestricted composition, that any two or more entities have a mereological sum, while true of sets and propositions, is false of things and events.

IF WE CAN EXPLAIN CAUSALLY EACH EVENT OF A SERIES, CAN WE THEREBY EXPLAIN CAUSALLY THE WHOLE SERIES? THE PRINCIPLES DEVELOPED IN ANSWER TO THIS QUESTION ENTAIL THAT EVEN IF WE CAN EXPLAIN CAUSALLY THE OCCURRENCE OF THE STATE OF THE UNIVERSE AT EACH TEMPORAL INSTANT, THAT DOES NOT MEAN THAT WE CAN EXPLAIN CAUSALLY THE OCCURRENCE OF ALL THOSE STATES.

In this set of excerpts from an earlier book, I examine some philosophical issues surrounding the whole-part relationship. I present a series of thought experiments and other arguments designed to undermine the view that wholes are "nothing but" their parts.

Whenever the name Edmund Husserl appears in the context of nursing research, what correctly comes to mind is the phenomenological approach to qualitative methodology. Husserl is not only considered the founder of phenomenology, but his broad concept development also contributed to the demise of positivism and inspired fruitful approaches to the social sciences. In this spirit of inspiration, it must be expressed that Husserl's theory of wholes and parts, and particularly his differentiation of parts into ‘pieces’ and ‘moments’, (...) is very helpful in guiding the selection of research methods across the board in nursing science. The purpose of this paper is to highlight a frame of reference for nursing researchers to use in examining the essential nature of that which is being studied. This frame of reference is the Husserlian philosophy of ‘pieces’ and ‘moments’ in relation to the whole. ‘Pieces’ are independent parts of the whole that are subject to isolability in study, whereas ‘moments’ are nonindependent parts, which cannot be detached, presented, or studied apart from the whole. The intent is to propose this frame of reference as a philosophical base from which nursing researchers may better select among paradigms and methodological approaches in regard to the essential nature (‘pieces’ or ‘moments’) of that which they are researching. (shrink)

My departed point is the assessment that plurality in broadest sense characterizing any post- (for example: post-modernity, post-metaphysical, etc.) context is first of all plurality of whole. We may speak about wholes, movement of whole, and lack of any universal whole. Part do not already belongs to whole implicitly granted and common of all other parts. Now we may speak of parts in another relation: non of parts as parts of some common (...) of all parts whole, but parts of difference wholes, and at the same time without any universal whole common of all the wholes. The paper is devoted concretely to the influence of such a comprehension of whole upon some basic notion of physics (especially quantum mechanics and information, relativity) and mathematics, namely probability, set, movement,time. Their changes exert influence upon the fundamental pbilosophical concepts of being and time, knowledge and being-in-the-world. The new conception of fractal, and its meaning in philosophy points out, too. Constancy and always existing of whole is equivalent to Newton time, energy conservation law, local realism and ''hidden parameters" of any correlations, a union of sets exists always if the two sets are granted. (shrink)

Thought: A Journal of Philosophy, EarlyView.

Mereonominalism, holonominalism, and part-whole realism represent competing views on the metaphysics of parts and wholes. Mereonominalism claims that what parts exist is a function of the concepts we use in describing composite wholes. Holonominalism claims that what composite wholes exist is a function of the concepts we use in describing things that can qualify as parts. Part-whole realism claims that parts and wholes exist independent of our concepts. I argue that all three views face (...) problems, but that the problem facing part-whole realism can be solved by adopting a version of hylomorphism that takes its cue from Aristotle’s account of form. (shrink)

Since the early 1980s, metonymy has progressively gained central stage in linguistic investigations. The advent of cognitive linguistics marked a new turn in the study of this trope conceived, not as a deviation from semantic conventions, but as a phenomenon rooted in non-language-specific mechanisms of conceptualization of the world. Acknowledging that metonymy is ultimately cognitive in nature, this paper proposes to consider metonymy from its multiple levels of manifestation, integrating cognitive, pragmatic, semantic, but also ontological angles of approach. Taking (...) class='Hi'>whole-for-part metonymies as a case study, I aim to show how recent developments within these respective disciplines can enrich our understanding of such metonymic mechanisms, sometimes without even identifying them as such. This paper proposes to establish a dialog between these disciplines on the topic of WP-metonymy. So, after a presentation of the most standard cognitive and pragmatic approaches to WP-metonymy, I will argue for the relevance of recent semantic investigations on quantity gradability, and for the theoretical importance of keeping these two kinds of part-reference clearly apart. I will show that the literature on gradability provides strong semantic arguments for doing so. Finally, connecting the debate on WP-metonymy with the ontological debate on property inherence will open the way for a formal treatment of WP-metonymy within ground logic. (shrink)

The strongly innovative theory of whole-parts relations outlined by Husserl in his Third logical Investigation—to which he attributed a basic value for his entire phenomenology—has recently attracted a renewed interest. Although many important issues have been clarified (especially by Kit Fine) the subject seems still worth being revisited. To this aim Husserlian universes are introduced. These are lower bounded distributive lattices endowed with a unary operation of defect and a binary relation of isogeneity. Husserl's contents are identified with (...) nonzero elements of a Husserlian universe and the dependence relations among contents are defined and studied starting from the idea that the defect of xis what x needs in order to ‘exist’ i.e., in order to be ‘closed’ with respect to the closure operation defined as the sup of x and its defect. It turns out that there are (at least) eight dependence relations which are worth to be considered. Many other questions concerning the world of contents (among them the proofs of the famous Husserl's Sätze) may now be discussed and clarified. Then the theory of species and genera is developed. Ultimate species (for short: species) are identified with equivalence classes of contents modulo isogeneity, and species in general (for short: genera) are identified with arbitrary unions of species. On the basis of the relation obtaining among two contents when they are isogeneous to two contents the first of which is a part of the second it becomes possible to develop a rather satisfying interpretation of Husserl's theory of the dependencies among species and genera and of the material a priori laws. By strengthening the notion of Husserlian universe into the notion of rigid Husserlian universe, the theory of species and genera obtains a stronger version. Three models of the theory are exhibited. The first one, suggested by combinatorial-topological considerations, identifies contents with finite non-empty sets of natural numbers; the second one identifies contents with non-empty sets of formulas of a formal language; the third one (not totally ‘rigid’) identifies contents with positive integers. (shrink)

The role of holistic or parts-based processing in face identification has been explored mostly with neutral faces. In the current study, we investigated the nature of processing (holistic vs. parts) in recognition memory for faces with emotional expressions. There were two phases in this experiment: learning phase and test phase. In the learning phase participants learned face–name associations of happy, neutral, and sad faces. The test phase consisted of a two-choice recognition test (whole face, eyes, or mouth) (...) given either immediately or after a 24-hour delay. Results indicate that emotional faces were remembered better than neutral faces and performance was better with whole faces as compared to isolated parts. The performance in immediate and delayed recognition interacted with emotional information. Sad eyes and happy mouth were remembered better in the delayed recognition condition. These results suggest that in addition to holistic processing, specific parts–emotion combinations play a critical role in delayed recognition memory. (shrink)

Bradley and Whitehead certainly deserve a book-length comparison on such topics as experience, internal and external relations, particularly whole-part relations, time, and God. Leemon McHenry has explored these issues soberly and responsibly, and his conclusions are most informative. Yet I sometimes wonder whether the connection would be as firmly made had there not been one remark about Bradley in the preface to Process and Reality.

The subset realization view proposes to solve the causal exclusion problem of non‐reductive mental instances by taking the mental instance as a part of its physical realizer. Many philosophers have argued that such a part‐whole relation will undermine physicalist realization because parts are ontologically prior to their wholes and the subset view is thus flawed. I argue that the relation that the subset view should propose is different from the ordinary part‐whole relation. What they should propose is (...) another kind of part‐whole relation under which parts are posterior to wholes. So, the subset view is not flawed in the aforementioned aspect. But discussion of the new part‐whole relation reveals that the subset view is in lack of a crucial argument against the exclusion reasoning, thus cannot solve the exclusion problem. Adopting the principle of causal proportionality (a route subset realizationists sometimes take) will not help the subset view either. So, my conclusion is, the subset view is yet to find a way to solve the exclusion problem. (shrink)

Gordon P. Barnes has recently argued that presence by power is inadequate as an explanation of the way elements are present in complex bodies, and that it would be better to explain the elements’ presence by claiming that simpler substances—carbon atoms, for example—are actually and substantially present in living things. In order to address his arguments, this paper begins by briefly presenting St. Thomas’s understanding of presence by power, and then argues that Barnes’s proposal—that there is a multiplicity of substantial (...) forms in one matter—is unsatisfactory. First, the paper explains why the scientific facts do not require a plurality of substantial forms. Second, it shows how Barnes’s theory does not adequately explain living things. Third, it argues against Barnes’s claim that St. Thomas’s explanation is insufficient because it denies "the universal causality of nature.". (shrink)

Decompositional analysis is the process of constructing explanations of the characteristics of whole systems in terms of characteristics of parts of those whole systems. Cognitive psychology is an endeavour that develops explanations of the capacities of the human organism in terms of descriptions of the brain's functionally defined information-processing components. This paper details the nature of this explanatory strategy, known as functional analysis. Functional analysis is contrasted with two other varieties of decompositional analysis, namely, structural analysis and (...) capacity analysis. After an examination of these three varieties of analysis, there follows a consideration of a mistake to avoid when conducting decompositional analyses in psychology, and a possible limitation on their explanatory scope. (shrink)

Priority monism is the view that the cosmos is the only independent concrete object. The paper argues that, pace its proponents, Priority monism is in conflict with the dependence of any whole on any of its parts: if the cosmos does not depend on its parts, neither does any smaller composite.

Themed Section of Bruniana & Campanelliana 2022/1, pp. 85-198 -/- - Simone Guidi, Introduction; - Andrew W. Arlig, Part-Whole Interdependence and the Presence of Form in Matter According to Some Fifteenth-Century Platonists; - Jean-Pascal Anfray, Aux limites de la métaphysique: parties, indivisibles et contact chez Suárez; - Simone Guidi, Indivisibles, Parts, and Wholes in Rubio’s Treatise on the Composition of Continuum (1605); - Dana Jalobeanu, Dissecting Nature ad vivum: Parts and Wholes in Francis Bacon’s Natural Philosophy; - (...) Carla Rita Palmerino, From Active Matter to Inertia, from Celerity to Slowness: the Motion of Atoms and of Compound Bodies in Gassendi’s Physics. (shrink)

This chapter reconstructs the account of the organization of unified definite manifolds that Husserl developed in his early logic of parts and wholes. I argue that Husserl’s conception of necessity gets fixed through the logic of fitness that is operative in his account of unified definite manifolds that are organized by symmetrical part/whole relations. Husserl’s logical account of necessity finds its ultimate justification in his theory of intentionality and is operative in his phenomenological methodology generally. Through this conception (...) of necessity of the way in which manifolds are unified and organized, Husserl radicalized and exploded the Kantian conception of the material a priori and distinguished among several kinds of a priori, e.g., the correlational a priori, a priori bound to the empirical, and pure material a priori. Husserl’s phenomenological account of the material a priori further clarifies the important differences with Kant’s approach to the problem of necessity. (shrink)

What is the relation between parts taken together and the whole that they compose? The recent literature appears to be dominated by two different answers to this question, which are normally thought of as being incompatible. According to the first, parts taken together are identical to the whole that they compose. According to the second, the whole is grounded in its parts. The aim of this paper is to make some theoretical room for the (...) view according to which parts ground the whole they compose while being, at the same time, identical to it. (shrink)

We address the question whether there is an explanation for the fact that as Fodor put it the micro-level “converges on stable macro-level properties”, and whether there are lessons from this explanation for other issues in the vicinity. We argue that stability in large systems can be understood in terms of statistical limit theorems. In the thermodynamic limit of infinite system size N → ∞ systems will have strictly stable macroscopic properties in the sense that transitions between different macroscopic phases (...) of matter (if there are any) will not occur in finite time. Indeed stability in this sense is a consequence of the absence of fluctuations, as (large) fluctuations would be required to induce such macroscopic transformations. These properties can be understood in terms of coarse-grained descriptions, and the statistical limit theorems for independent or weakly dependent random variable describing the behaviour averages and the statistics of fluctuations in the large system limit. We argue that RNG analyses applied to off-critical systems can provide a rationalization for the applicability of these limit theorems. Furthermore we discuss some related issues as, for example, the role of the infinite-system idealization. (shrink)