A Note on Prototypes,Convexity and Fuzzy Sets

The work on prototypes in ontologies pioneered by Rosch [10] and elaborated by Lakoff [8] and Freund [3] is related to vagueness in the sense that the more remote an instance is from a prototype the fewer people agree that it is an example of that prototype. An intuitive example is the prototypical “mother”, and it is observed that more specific instances like ”single mother”, “adoptive mother”, “surrogate mother”, etc., are less and less likely to be classified as “mothers” by experimental subjects. From a different direction Gärdenfors [4] provided a persuasive account of natural predicates to resolve paradoxes of induction like Goodman’s “Grue” predicate [5]. Gärdenfors proposed that “quality dimensions” arising from human cognition and perception impose topologies on concepts such that the ones that appear “natural” to us are convex in these topologies. We show that these two cognitive principles — prototypes and predicate convexity — are equivalent to unimodal (convex) fuzzy characteristic functions for sets. Then we examine the case when the fuzzy set characteristic function is not convex, in particular when it is multi-modal. We argue that this is an indication that the fuzzy concept should really be regarded as a super concept in which the decomposed components are subconcepts in an ontological taxonomy.     

Complex demonstratives as quantifiers: objections and replies

In “Complex Demonstratives: A Quantificational Account” (MIT Press 2001) (henceforth CD), I argued that complex demonstratives are quantifiers. Many philosophers had held that demonstratives, both simple and complex, are referring terms. Since the publication of CD various objections to the account of complex demonstratives I defended in it have been raised. In the present work, I lay out these objections and respond to them.

Subjectivity and essential individuality: A dialogue with Peter Van Inwagen and Lynne Baker

Each person is perceived by others and by herself as an individual in a very strong sense, namely as a unique individual. Moreover, this supposed uniqueness is commonly thought of as linked with another character that we tend to attribute to persons (as opposed to stones or chairs and even non-human animals): a kind of depth, hidden to sensory perception, yet in some measure accessible to other means of knowledge. I propose a theory of strong or essential individuality. This theory is introduced by way of a critical discussion of Van Inwagen’s and Baker’s ontologies of persons. Composition Theory and Constitution Theory are shown to be complementary, in their opposite strong and weak points. I argue that both theories have unsatisfactory consequences concerning personal identity, a problem which the proposed theory seems to solve more faithfully both to folk intuitions and the phenomenology of personal life.

The Meaning of “Existence” and the Contingency of Sense

In this paper I argue first for a revisionary ontology, that is, for an understanding of “existence” as the property of a field not to be empty. In this context, I distinguish between “metaphysics” (the theory of totality or of fundamental reality) and “ontology” (the systematic investigation into the meaning of “existence”). In the second part, I provide a sketch for a corresponding revisionary theory of the modalities in light of the new ontology proposed.     

论中国古代儒家哲学的价值取向

儒家哲学是中国古代哲学的重要门派 ,其内容博大精深 ,影响广泛而久远 ,其基本精神和价值取向可归纳为“内圣外王之道”。对儒家“内圣外王”思想的阐释在古代和近代有所不同 ,涉及内修与外用、中学与西学等关系。“内圣外王”作为价值观 ,其本体论依据为天人关系论中的“天道”或“人道”本体论 ,其认识论依据为内在超越思路和“知行合一”观念。     

Religious Naturalism Today

Three questions are addressed. First, concerning the definition of naturalism, I accept the characterization by Rem Edwards (1972) but insist on a materialist or physicalist interpretation of these features. Second, the distinctive characteristic of my religious naturalism is an argument that although a theological position based on a physicalist ontology is constrained by physicalism, the ontology itself does not dictate theological content. Theological content can break free of ontology if this content is valuational rather than ontological. Such a valuational theism becomes possible when Rudolf Bultmann's and Fritz Buri's method of existentialist interpretation is wedded to Henry Nelson Wieman's naturalist conception of God. The knowledge of God in events of grace, therefore, is rooted in moments of creative transformation that are themselves always transformative. This approach makes possible a better approach to the problem of objectivity than Bultmann could achieve. Third, concerning the chief issues facing religious naturalism today, I argue that religious naturalists should more forthrightly confront the issue of ontological materialism and that the most pressing issue concerns thinking out more fully the religious or theological content to be ascribed to such a position after the nature of naturalism is resolved.     

A Return to Musical Idealism

In disputes about the ontology of music, musical idealism—that is, the view that musical compositions are ideas—has proven to be rather unpopular. We argue that, once we have a better grip on the ontology of ideas, we can formulate a version of musical idealism that is not only defensible, but plausible and attractive. We conclude that compositions are a particular kind of idea: they are completed ideas for musical manifestation.     

DANCING AROUND THE CAUSAL JOINT: CHALLENGING THE THEOLOGICAL TURN IN DIVINE ACTION THEORIES

Recent years have seen a shift in divine action debates. Turning from noninterventionist, incompatibilist causal joint models, representatives of a “theological turn” in divine action have questioned the metaphysical assumptions of approaches seeking indeterministic aspects of nature wherein God might act. Various versions of theistic naturalism (such as Thomism, panentheistic naturalism, and pneumatological naturalism) offer specific theological frameworks that reimagine the basic God–world relationship. But do these explicitly theological approaches to divine action take scientific knowledge and methodology seriously enough? And do such approaches adequately address the problem of how uncreated, immaterial realities could affect physical, material processes? This article examines various features of the theological turn in divine action—recognizing it as a welcome step in science and religion, while challenging its current adequacy.     

Pictorial depth: intensity and aesthetic surface

Philosophers seldom ask questions regarding how certain phenomena occur, because such questions tend to be the province of the sciences or of technology. However, the question how pictures have depth requires philosophical reflection because it takes place on the surface of pictorial objects and involves both physical and phenomenal, i.e. aesthetic, features of those surfaces. This essay examines how pictures have depth by first separating the aesthetic question from interpretive considerations, and thereby refining the question how pictures have depth. Next it explicates two sorts of conceptual tools required to understand the question: several complex concepts needed to understand surfaces, and the concept of intensity. These are then used to understand how pictures can have depth by showing how intensities produce both an aesthetic surface and depth within it.     

论《老子》道之本体论的和谐意蕴及现代指向

《老子》最早赋予“道”以完整和深刻的哲学本体论意义。道的哲学本体论具有三重基本内涵,即追寻作为世界统一性的终极存在、知识统一性的终极解释、意义统一性的终极价值。三重内涵的融通合一即是和谐的意义和旨趣所在,体现为天人和谐、人际和谐和群体和谐。《老子》认为道是万物的本原,德是万物分享形上之道而各自获得的本性,二者皆以和谐为内核,和谐是道的基本特征和存在状态。和谐的终极价值以人的意义统一性为逻辑基点,和谐的终极存在以道的世界统一性为生成维度,和谐的终极解释以道的知识统一性为治理向度。