Some Remarks on “Hearing-as” and its Role in the Aesthetics of Music

Starting from the context in which Wittgenstein thinks of the concepts of “seeing-as” and “hearing-as”, the basic relation is clarified between the question of representation, musical understanding, and the theory of musical expressiveness. The points of views of Wollheim, Scruton, Levinson, and Ridley are discussed, in a re-consideration of the notions of hearing and understanding within Wittgenstein’s “last philosophy”.     

A deflationary theory of reference

The article first rehearses three deflationary theories of reference, (1) disquotationalism, (2) propositionalism (Horwich), and (3) the anaphoric theory (Brandom), and raises a number of objections against them. It turns out that each corresponds to a closely related theory of truth, and that these are subject to analogous criticisms to a surprisingly high extent. I then present a theory of my own, according to which the schema “That S(t) is about t” and the biconditional “S refers to x iff S says something about x” are exhaustive of the notions of aboutness and reference. An account of the usefulness of “about” is then given, which, I argue, is superior to that of Horwich. I close with a few considerations about how the advertised theory relates to well-known issues of reference, the conclusions of which is (1) that the issues concern reference and aboutness only insofar as the words “about” and “refer” serve to generalise over the claims that are really at issue, (2) that the theory of reference will not settle the issues, and (3) that it follows from (2) that the issues do not concern the nature of aboutness or reference.     

Funny business in branching space-times: infinite modal correlations

The theory of branching space-times is designed as a rigorous framework for modelling indeterminism in a relativistically sound way. In that framework there is room for “funny business”, i.e., modal correlations such as occur through quantum-mechanical entanglement. This paper extends previous work by Belnap on notions of “funny business”. We provide two generalized definitions of “funny business”. Combinatorial funny business can be characterized as “absence of prima facie consistent scenarios”, while explanatory funny business characterizes situations in which no localized explanation of inconsistency can be given. These two definitions of funny business are proved to be equivalent, and we provide an example that shows them to be strictly more general than the previously available definitions of “funny business”.     

The Order Structure of Continua

A continuum is here a primitive notion intended to correspond precisely to a path-connected subset of the usual euclidean space. In contrast, however, to the traditional treatment, we treat here continua not as pointsets, but as irreducible entities equipped only with a partial ordering ≤ interpreted as parthood. Our aim is to examine what basic topological and geometric properties of continua can be expressed in the language of ≤, and what principles we need in order to prove elementary facts about them. Surprisingly enough ≤ suffices to formulate the very heart of continuity (=jumpless and gapless transitions) in a general setting. Further, using a few principles about ≤ (together with the axioms of ZFC), we can define points, joins, meets and infinite closeness. Most important, we can develop a dimension theory based on notions like path, circle, line (=one-dimensional continuum), simple line and surface (=two-dimensional continuum), recovering thereby in a rigorous way Poincaré's well-known intuitive idea that dimension expresses the ways in which a continuum can be torn apart. We outline a classification of lines according to the number of circles and branching points they contain. The ordering (C,≤) is a topped and bottomed, atomic, almost dense and complete partial ordering, weaker than a lattice. Continuous transformations from C to C are also defined in a natural way and results about them are proved. The key notions on which the dimension theory is based are the “minimal extensions of continua”, or “joins”, and the “splittings of continua over subcontinua”. This revised version was published online in June 2006 with corrections to the Cover Date.     

Are RNA Viruses Vestiges of an RNA World?

This paper follows the circuitous path of theories concerning the origins of viruses from the early years of the twentieth century until the present, considering RNA viruses in particular. I focus on three periods during which new understandings of the nature of viruses guided the construction and reconstruction of origin hypotheses. During the first part of the twentieth century, viruses were mostly viewed from within the framework of bacteriology and the discussion of origin centered on the “degenerative” or the “retrograde evolution theory.” However, concomitantly, in the context of origin-of-life theorizing, the notion that viruses are vestiges of a prebiotic world was also being contemplated. In the 1960s the idea that viruses were genetic elements that “escaped” from cells became prevalent. These traditional hypotheses are being revisited nowadays by evolutionary virologists, who have placed them within a new conceptual framework that is supported by cutting-edge genomic and proteomic data. Two current, opposing scenarios of virus origin are presented. The philosophical dimensions of “revisiting” the original hypotheses are briefly discussed.     

Meadow voles, <Emphasis Type="Italic">Microtus pennsylvanicus</Emphasis>, have the capacity to recall the “what”, “where”, and “when” of a single past event

Some non-human animals may possess the ability to recall the “what”, “where”, and “when” of a single past event. We tested the hypothesis that male meadow voles posses the capacity to recall the “what”, “where”, and “when” of a single past event associated with mate selection in two experiments. Briefly, male voles were allowed to explore an apparatus that contained two chambers. One chamber contained a day-20 pregnant female (24 h prepartum). The other chamber contained a sexually mature female that was neither pregnant nor lactating (REF female). Twenty-four hour after the exposure, the males were placed in the same apparatus, which was empty and clean. At this time, the pregnant female would have entered postpartum estrus (PPE), a period of heightened sexual receptivity. Males initially chose and spent significantly more time investigating the chamber that originally housed the pregnant female (now a PPE female) than the chamber that originally housed the REF female. Male voles also explored an apparatus containing a chamber with a PPE female and one chamber containing a REF female. Twenty-four hour later, males were placed into an empty and clean apparatus. The males did not display an initial choice and they spent similar amounts of time investigating the chamber that originally housed the PPE female (now a lactating female) and the chamber that originally housed the REF female. The results of these and additional experiments suggest that male voles may have the capacity to recall the “what”, “where”, and “when” of a single past event, which may allow males to remember the location of females who would currently be in heightened states of sexual receptivity.     

Carne Vale (Goodbye to Flesh?): Caribbean Carnival,Notions of the Flesh and Christian Ambivalence about the Body

This paper interrogates the popular notions of sexuality that lay behind the women’s bodily displays during Trinidad Carnival, the iconic Carnival experience in the region, and contrasts these to some Christian notions of the body and sexuality, which see the body (‘the flesh’) and sexuality, as problematic even sinful, as is captured in the word “carnal”/“fleshly”. Carne Vale, “goodbye to flesh”, plays on the Christian roots of Carnival, the religious festival before the solemnity of Lent when meat is given up. It hints at Christian notions of body which devalue physical being and oftentimes view it as the site of sinfulness and temptation. It argues that Caribbean women have subverted and continue to subvert such negative valuations by engaging in carnivalesque masquerade that revalues bodies, especially colonised female bodies.     

The Meaning of Category Theory for 21st Century Philosophy

Among the main concerns of 20th century philosophy was that of the foundations of mathematics. But usually not recognized is the relevance of the choice of a foundational approach to the other main problems of 20th century philosophy, i.e., the logical structure of language, the nature of scientific theories, and the architecture of the mind. The tools used to deal with the difficulties inherent in such problems have largely relied on set theory and its “received view”. There are specific issues, in philosophy of language, epistemology and philosophy of mind, where this dependence turns out to be misleading. The same issues suggest the gain in understanding coming from category theory, which is, therefore, more than just the source of a “non-standard” approach to the foundations of mathematics. But, even so conceived, it is the very notion of what a foundation has to be that is called into question. The philosophical meaning of mathematics is no longer confined to which first principles are assumed and which “ontological” interpretation is given to them in terms of some possibly updated version of logicism, formalism or intuitionism. What is central to any foundational project proper is the role of universal constructions that serve to unify the different branches of mathematics, as already made clear in 1969 by Lawvere. Such universal constructions are best expressed by means of adjoint functors and representability up to isomorphism. In this lies the relevance of a category-theoretic perspective, which leads to wide-ranging consequences. One such is the presence of functorial constraints on the syntax–semantics relationships; another is an intrinsic view of (constructive) logic, as arises in topoi and, subsequently, in more general fibrations. But as soon as theories and their models are described accordingly, a new look at the main problems of 20th century’s philosophy becomes possible. The lack of any satisfactory solution to these problems in a purely logical and set-theoretic setting is the result of too circumscribed an approach, such as a static and punctiform view of objects and their elements, and a misconception of geometry and its historical changes before, during, and after the foundational “crisis”, as if algebraic geometry and synthetic differential geometry – not to mention algebraic topology – were secondary sources for what concerns foundational issues. The objectivity of basic geometrical intuitions also acts against the recent version of structuralism proposed as ‘the’ philosophy of category theory. On the other hand, the need for a consistent and adequate conceptual framework in facing the difficulties met by pre-categorical theories of language and scientific knowledge not only provides the basic concepts of category theory with specific applications but also suggests further directions for their development (e.g., in approaching the foundations of physics or the mathematical models in the cognitive sciences). This ‘virtuous’ circle is by now largely admitted in theoretical computer science; the time is ripe to realise that the same holds for classical topics of philosophy. Text of a talk given at the Workshop and Symposium on the Ramifications of Category Theory, Florence, November 18–22, 2003. For further documentation on the conference, see     

Psychotherapy Supervision Since 1909: Some Friendly Observations About its First Century

Now a century old, psychotherapy supervision occupies a place of increasing prominence across all mental health disciplines and appears to generally be regarded as a (if not the) sine qua non for the teaching and learning of psychotherapy. Psychotherapy supervision has emerged as our “signature pedagogy.” In this paper, I take a look back at supervision’s last century and consider some (but by no means all) of the salient issues and themes that have defined its science and practice. The reviewed supervision issues and themes include the following: (1) the beginnings and evolution of supervision and supervision theory; (2) our evolving perspective about the supervision matrix; (3) methodological pluralism and diversity; (4) “good” and “bad” supervisor behaviors and the working alliance; (5) measurement; (6) effectiveness; (7) diversity; and (8) education. I use this “look back” to (1) give voice to where we have been and where we are now in psychotherapy supervision and (2) shine a light on some of what seems to lie ahead for supervision’s second century.     

Social representations of educability

In the framework of the theory of social representations, the study set out to examine how Finnish parents and teachers have received a major change in educational policy. Surveys on parents' and comprehensive school teachers' views of ongoing school reforms indicated that current educational discourse is structured by two different representations — a “selective” one and a “comprehensive” one-which contain two different notions of intelligence — “natural” and “sociorelativistic”. The subjects' sociai position (socioeducational status and expertise) in the educational hierarchy tended to organize their representations. The findings indicated that the different groups have different relationships to official educational policy and to the ethos of educability embodied by the school. University of Joensuu     

The wisdom of nature in integrating science, ethics and the arts

This paper deals with an approach to the integration of science (with technology and economics), ethics (with religion and mysticism), the arts (aesthetics) and Nature, in order to establish a world-view based on holistic, evolutionary ethics that could help with problem solving. The author suggests that this integration is possible with the aid of “Nature’s wisdom” which is mirrored in the macroscopic pattern of the ecosphere. The corresponding eco-principles represent the basis for unifying soft and hard sciences resulting in “deep sciences”. Deduction and induction will remain the methodology for deep sciences and will include conventional experiments and aesthetic and sentient experiences. Perception becomes the decisive factor with the senses as operators for the building of consciousness through the subconscious. In this paper, an attempt at integrating the concepts of the “true”, the “right” and the “beautiful” with the aid of Nature’s wisdom is explained in more detail along with consequences. The author is a bioprocess engineer with a research interest in environmental issues.     

孝意识的时间分析

The reason for the emergence of consciousness of filial piety is that parental care could activate reciprocal filial piety. Parental care and filial piety are two supplementary phenomena caused by the same time consciousness. Phenomenology neglects consciousness of filial piety because it lacks the thinking that sees the fundamental “meaning of time” in the intersection of “past” and “future”. The consciousness of filial piety can only be really constituted by a human being’s personal experience. “Frustrations in personal life” and “breeding of children for oneself” are two occasions for an adult to fight against the separating effect of individualized consciousness and regain awareness of filial piety. Translated by Huang Deyuan from Beijing Daxue Xuebao 北京大学学报 (Journal of Peking University), 2006, (1): 14–24     

On A Proportionality Analysis of Syllogistic Private Reasoning

Syllogisms like Barbara, “If all S is M and all M is P, then all S is P”, are here analyzed not in terms of the truth of their categorical constituents, “all S is M”, etc., but rather in terms of the corresponding proportions, e.g., of Ss that are Ms. This allows us to consider the inferences’ approximate validity, and whether the fact that most Ss are Ms and most Ms are Ps guarantees that most Ss are Ps. It turns out that no standard syllogism is universally valid in this sense, but special ‘default rules’ govern approximate reasoning of this kind. Special attention is paid to inferences involving existential propositions of the “Some S is M” form, where it is does not make sense to say “Almost some S is M”, but where it is important that in everyday speech, “Some” does not mean “At least one”, but rather “A not insignificant number”.     

Jung's Conception of the Holy Ghost

Carl Jung saw the Holy Ghost as the crowning figure in God's revelation of Himself. For Jung, the Holy Ghost is that mysterious force which unites opposites and allows the transcendent to enter space and time. Through a process called “continuing incarnation”, the Holy Ghost makes it possible for ordinary people to participate in “the sonship of God”.     

‘From nature to nature’s God’: Ellis A. Davidson—mid-Victorian educator, moralist, and consummate Designer

In recovering the life and work of Ellis Abraham Davidson (1828–1878), this paper draws attention to a Victorian who expands our understanding of Anglo-Jewry as he does not fit the occupational stereotypes. Unusually, he contributed to education, more specifically to the socially-important but frequently neglected topic of technical education. He taught the “lowly” arts, generally known in the nineteenth century as “arts and manufactures”, or the “useful arts”, or “art and design”. Thus although he did not become an artisan or tradesman himself, through his teaching others acquired the requisite skills to become artisans and tradesmen. Moreover, drawing on his experience teaching practical subjects he lectured to Jewish artisans and advised the Board of Guardians on the best way to support apprentices. Finally, and most importantly, this study of Davidson sheds new light on the relations between science, technology, and Judaism in the mid-Victorian period. Thus the final two sections of this paper will examine his commitment to a form of natural theology that set him against Darwin’s theory of evolution and also informed his only book directed specifically at the Anglo-Jewish community.     

Coherence in Epistemology and Belief Revision*

A general theory of coherence is proposed, in which systemic and relational coherence are shown to be interdefinable. When this theory is applied to sets of sentences, it turns out that logical closure obscures the distinctions that are needed for a meaningful analysis of coherence. It is concluded that references to “all beliefs” in coherentist phrases such as “all beliefs support each other” have to be modified so that merely derived beliefs are excluded. Therefore, in order to avoid absurd conclusions, coherentists have to accept a weak version of epistemic priority, that sorts out merely derived beliefs. Furthermore, it is shown that in belief revision theory, coherence cannot be adequately represented by logical closure, but has to be represented separately. *Contribution to “Seven Bridges”     

"浩然之气"的创生性与先天性——从冯友兰先生《孟子浩然之气章解》谈起

Feng Youlan emphasizes the concept of “creativity” in his article “Explanation of Mencius’ Chapter on Strong, Moving Vital Force”, in particular highlighting the problem whether the “strong, moving vital force” is “innate” or “acquired”. Cheng Hao and Zhu Xi believed the “strong, moving vital force” was endowed by Heaven, so was therefore innate; “nourishment” cleared fog and allowed one to “recover one’s original nature”. Mencius’ theory on “the good of human nature” is illustrated in the concept of integrated “original endowment”. So Cheng Hao and Zhu Xi’s theory of “recovering the original nature” proposed that the “strong, moving vital force” was innate, which is in complete agreement with Mencius and of which there is ample evidence in Mencius. However, “nature” is “created by the accumulation of righteousness”. Namely, it is the completion and presentation of the process of creation and transformation of human beings. Only when we consider both Cheng Hao and Zhu Xi’s theory and Feng Youlan’s theory can we fully understand Mencius’ theory of “the nourishment of the strong, moving vital force”, which is of great theoretical and academic value in accurately understanding Mencius and the Confucian theory of mind-nature. Translated by Lei Yongqiang from Shehui kexue zhanxian 社会科学战线 (Social Science Front), 2007, (5):12–16     

The enduring scandal of deduction

Deductive inference is usually regarded as being “tautological” or “analytical”: the information conveyed by the conclusion is contained in the information conveyed by the premises. This idea, however, clashes with the undecidability of first-order logic and with the (likely) intractability of Boolean logic. In this article, we address the problem both from the semantic and the proof-theoretical point of view. We propose a hierarchy of propositional logics that are all tractable (i.e. decidable in polynomial time), although by means of growing computational resources, and converge towards classical propositional logic. The underlying claim is that this hierarchy can be used to represent increasing levels of “depth” or “informativeness” of Boolean reasoning. Special attention is paid to the most basic logic in this hierarchy, the pure “intelim logic”, which satisfies all the requirements of a natural deduction system (allowing both introduction and elimination rules for each logical operator) while admitting of a feasible (quadratic) decision procedure. We argue that this logic is “analytic” in a particularly strict sense, in that it rules out any use of “virtual information”, which is chiefly responsible for the combinatorial explosion of standard classical systems. As a result, analyticity and tractability are reconciled and growing degrees of computational complexity are associated with the depth at which the use of virtual information is allowed.