In this paper we examine various requirements on the formalisation choices under which self-reference can be adequately formalised in arithmetic. In particular, we study self-referential numberings, which immediately provide a strong notion of self-reference even for expressively weak languages. The results of this paper suggest that the question whether truly self-referential reasoning can be formalised in arithmetic is more sensitive to the underlying coding apparatus than usually believed. As a case study, we show how this sensitivity affects the formal study (...) of certain principles of self-referential truth. (shrink)

There is a well-known gap between metamathematical theorems and their philosophical interpretations. Take Tarski’s Theorem. According to its prevalent interpretation, the collection of all arithmetical truths is not arithmetically definable. However, the underlying metamathematical theorem merely establishes the arithmetical undefinability of a set of specific Gödel codes of certain artefactual entities, such as infix strings, which are true in the standard model. That is, as opposed to its philosophical reading, the metamathematical theorem is formulated (and proved) relative to a specific (...) choice of the Gödel numbering and the notation system. A similar observation applies to Gödel’s and Church’s theorems, which are commonly taken to impose severe limitations on what can be proved and computed using the resources of certain formalisms. The philosophical force of these limitative results heavily relies on the belief that these theorems do not depend on contingencies regarding the underlying formalisation choices. The main aim of this paper is to provide metamathematical facts which support this belief. While employing a fixed notation system, I showed in previous work (_Review of Symbolic Logic_, 2021, 14(1):51–84) how to abstract away from the choice of the Gödel numbering. In the present paper, I extend this work by establishing versions of Tarski’s, Gödel’s and Church’s theorems which are invariant regarding _both_ the notation system and the numbering. This paper thus provides a further step towards absolute versions of metamathematical results which do not rely on contingent formalisation choices. (shrink)

H. B. D. Kettlewell's (1955, 1956) classic field experiments on industrial melanism in polluted and unpolluted settings using the peppered moth, Biston betularia, are routinely cited as establishing that the melanic (dark) form of the moth rose in frequency downwind of industrial centers because of the cryptic advantage dark coloration provides against visual predators in soot-darkened environments. This paper critiques three common myths surrounding these investigations: (1) that Kettlewell used a model that identified crypsis as the only selective force responsible (...) for the spread of the melanic gene, (2) that Kettlewell's field experiments alone established that selection for crypsis was the most important factor in the spread of melanic forms, and (3) that Kettlewell's investigations in an unpolluted wood near Dorset constituted a control for his earlier Birmingham studies (contra Hagen 1993, 1996). This analysis further identifies two features that distinguish manipulative experiments in evolutionary biology from experiments in other contexts. First, experiments in evolutionary biology rest on a wealth of information provided by strictly observational ecological studies; in the absence of such information experiments in evolutionary biology make no sense. Second, there is a trade-off between how much control investigators have over the conditions being studied and how informative the results of the experiment will be with regard to natural populations. (shrink)

The prevalent interpretation of Gödel’s Second Theorem states that a sufficiently adequate and consistent theory does not prove its consistency. It is however not entirely clear how to justify this informal reading, as the formulation of the underlying mathematical theorem depends on several arbitrary formalisation choices. In this paper I examine the theorem’s dependency regarding Gödel numberings. I introducedeviantnumberings, yielding provability predicates satisfying Löb’s conditions, which result in provable consistency sentences. According to the main result of this paper however, these (...) “counterexamples” do not refute the theorem’s prevalent interpretation, since once a natural class ofadmissiblenumberings is singled out, invariance is maintained. (shrink)

This popular reader has been vastly updated with ten stimulating new selections on the natural and the social sciences: feminism; postmodernism, relativism, and science; confirmation, acceptance, and theory; explanatory unification; and science and values. Retaining the best essays from the previous editions, the editors have added important new pieces to maintain this influential text's relevance.

Current report assessed measurement reproducibility and reliability of magnetic resonance spectroscopy (1H-MRS) at 3 Tesla in left and right posterior insular, pregenual and anterior midcingulate subdivisions. 10 healthy male volunteers aged 20 to 30 years were tested on four different days, of which 9 were included in the data analysis. Intra- and inter-subject variability of myo-Inositol (mI), Creatine (Cre), Glutamate (glu), total-Choline (tCho), total-N-acetylaspartate (tNAA) and combined Glutamine-Glutamate (Glx) were calculated considering the influence of movement parameters, age, daytime of measurements (...) and tissue composition. Overall mean intra-subject variability revealed small mean coefficients of variation (CV) across the four regions: 5.3% in aMCC, 6.6% in pgACC, 7.3% in pIL and 8.2% in pIR. For all neurochemicals combined, mean inter-subject variability demonstrated mean CVs of 9.05% (aMCC), 8.84% (pgACC), 10.00% (pIL) and 10.55% (pIR). Head movement, tissue composition and day time revealed no significant explanatory variance contribution suggesting a negligible influence on data. A strong correlation between Cramer-Rao Lower Bounds (CRLB; a measure of fitting errors) and the mean intra-subject CV (r=0.799, p<0.001) outlined the importance of low CRLB in order to obtain robust and finally meaningful 1H-MRS measures. The present findings confirm 1H-MRS as a reliable tool to measure brain neurochemistry in small subregions of the human brain. (shrink)

: Most work done in philosophy of experiment has focused on experiments taken from the domain of physics. The present essay tests whether Allan Franklin's (1984, 1986, 1989, 1990) philosophy of experiment developed in the context of high energy physics can be extended to include examples from evolutionary biology, such as H. B. D. Kettlewell's (1955, 1956, 1958) famous studies of industrial melanism in the peppered moth, Biston betularia. The analysis demonstrates that many of the techniques used by evolutionary biologists (...) exemplify the strategies Franklin lists, and identifies an additional strategy that can likewise be justified by appeal to Bayes's Theorem. (shrink)

My dissertation philosophically analyzes experiments in evolutionary biology, an area of science where experimental approaches have tended to supplement, rather than supercede more traditional approaches, such as field observations. I conduct the analysis on the basis of three case studies of famous episodes in the history of selection experiments: H. B. D. Kettlewell's investigations of industrial melanism in the Peppered Moth, Biston betularia; two of Th. Dobzhansky's studies of adaptive radiation in the fruit fly, Drosophila pseudoobscura; and M. Wade's studies (...) of group selection in the flour beetle, Tribolium castaneum. The case studies analyze the arguments and evidence these investigators used to identify the respective roles of experiments and other forms of inquiry in their investigations. I discuss three philosophical issues. ;First, the analysis considers whether these selection experiments fit models of experimentation developed in the context of micro-and high energy physics by Allan Franklin and Peter Galison . My analysis documents that the methods used in the case studies can be accommodated on both Franklin and Galison's views. I conclude the case studies do not support claims regarding the relative autonomy of biology. ;Second, the analysis documents a number of important roles for life history data acquired by strictly observational means in the process of experimentation, from identification of research problems and development of experimental designs to interpretation of results. Divorced from this context experiments in biology make no sense. Thus, in principle, experimental approaches cannot replace more traditional methods. ;Third, the analysis examines a superficial tension between the use of experiments, which I characterize by the presence of artificial intervention, and the stated goal of most investigations in evolutionary biology, that of understanding how systems behave in the absence of intervention. Experiments involve trade-offs between the control one has over the circumstances of the study and how informative the study is with regard to questions of interest to biologists regarding specific, actual systems in nature. Experimental simulations of natural phenomena in other historical sciences involve similar trade-offs, but there are reasons for believing this tension is more prominent in biology. (shrink)

Does Wittgenstein have a method? There are two challenges to an affirmative answer. One is put forth by Schulte, who claims that Wittgenstein’s method is little more than a skill, and thus not a method in any ambitious sense of that word. Another is Conant’s view that the philosophy of the later Wittgenstein entertains not one method, but a variety of methods. I tackle these challenges by questioning what I take to be their presupposed conceptions of ‘method’ and conclude that (...) we can indeed speak of Wittgenstein’s method in an interesting sense. Thereby, the concept of method will be elucidated and the sense in which Wittgenstein’s philosophy has a method clarified. (shrink)

The focus of Through Your Eyes: Religious Alterity and the Early Modern Western Imaginations is the (mostly Western) understanding, representation and self-critical appropriation of the "religious other" between the sixteenth and eighteenth centuries. Mutually constitutive processes of selfing/othering are observed through the lenses of creedal Jews, a bhakti Brahmin, a widely translated Morisco historian, a collector of Western and Eastern singularia, Christian missionaries in Asia, critical converts, toleration theorists, and freethinkers: in other words, people dwelling in an 'in-between' space which (...) undermines any binary conception of the Self and the Other. The genesis of the volume was in exchanges between eight international scholars and the two editors, intellectual historian Giovanni Tarantino and anthropologist Paola von Wyss-Giacosa, who share an interest in comparatism, debates over toleration, and history of emotions. (shrink)

We compute the energy tensor and the energy-momentum tensor for electrodynamics coupled to the current of a charged scalar field and for electrodynamics coupled tothe current of a Dirac spinor field, without using the equations of motion.

H.B.D. Kettlewell is best known for his pioneering work on the phenomenon of industrial melanism, which began shortly after his appointment in 1951 as a Nuffield Foundation research worker in E.B. Ford's newly formed sub-department of genetics at the University of Oxford. In the years since, a legend has formed around these investigations, one that portrays them as a success story of the 'Oxford School of Ecological Genetics', emphasizes Ford's intellectual contribution, and minimizes reference to assistance provided by others. The (...) following essay reviews the important influence Ford, E.A. Cockayne, and P.M. Sheppard played in Kettlewell's research, leading up to his most famous experiments in 1953. It documents several reasons for doubting that Ford was as intellectually involved in the design of these investigations as he has previously been portrayed. It clarifies Kettlewell's intellectual contribution to the investigations for which he is famous, as well as the pivotal roles Cockayne and Sheppard played in the design, execution and interpretation of these investigations. (shrink)

Language’s intentional nature has been highlighted as a crucial feature distinguishing it from other communication systems. Specifically, language is often thought to depend on highly structured intentional action and mutual mindreading by a communicator and recipient. Whilst similar abilities in animals can shed light on the evolution of intentionality, they remain challenging to detect unambiguously. We revisit animal intentional communication and suggest that progress in identifying analogous capacities has been complicated by (i) the assumption that intentional (that is, voluntary) production (...) of communicative acts requires mental-state attribution, and (ii) variation in approaches investigating communication across sensory modalities. To move forward, we argue that a framework fusing research across modalities and species is required. We structure intentional communication into a series of requirements, each of which can be operationalised, investigated empirically, and must be met for purposive, intentionally communicative acts to be demonstrated. Our unified approach helps elucidate the distribution of animal intentional communication and subsequently serves to clarify what is meant by attributions of intentional communication in animals and humans. (shrink)

Diachronic emergence has recently been characterised as transformation. This aims to capture the thought that the entities that emerge are radically new or different. Transformation is hence closely linked with a central (but rarely raised) challenge for all emergentists: how to account for the identity and individuation of entities involved in emergence. With this challenge in view, I develop and probe four interpretations of transformation: addition, replacement, fusion, and transubstantiation. Of those, transubstantiation provides the most plausible response to the challenge (...) about identity. Accordingly, diachronic emergence is a transformative process whereby an individual passes from one primary kind to another. (shrink)

In this paper, I set out to argue in favour of a philosophical posthumanist and Nietzschean reading of Ira Levin’s This Perfect Day while demonstrating how transhumanism isunbefitting of being called a Nietzschean theory. I will do this by establishing Chip, the protagonist, as a posthuman and being on the path of the ‘Overhuman’ whereas Wei, the antagonist, will be illustrated as Chip’s intended counterpart the Last Human. Through explaining ‘Transhumansim’ and connecting the field to Wei, I will showcase a (...) new way of reading transhumanist ideology, namely ‘Weiism’. The polar opposite in characters of ‘Overhuman’ and ‘Last Human’ will argue in favour of the Nietzschean paradoxical, as part of philosophical posthumanism. Amor fati and the eternal recurrence become posthumanist narrative tools through their weaving into the posthuman narrative of Chip. My argument is that by making philosophical posthumanism more existentialist in nature, it becomes simpler to argue against nihilistic and totalitarian tendencies of worshipping technology. Finally, it is the spiralling motion forward as a mix between the Nietzschean, eternally cyclical re-inventing of oneself and the posthumanist consideration for the future which makes for a literary combination of the two fields of study. (shrink)

In this 1999 study, Beat Wyss provides a critical analysis of Hegel's theories of art history. Analogous to his philosophy of history, Hegel viewed the history of art in dialectical terms: with its origins in the Ancient Near East, Western art culminated in Classical Greece, but began its decline already in the Hellenistic period. Yet, as Wyss posits, art refuses its programmed demise. He highlights the political dimension of this contradiction, showing the implication of theories which subordinate art (...) to the will of absolute rule. Wyss follows his analysis of Hegel's theories with a discussion of the work of four modern successors - Nordau, Spengler, Sedlmayr and Lukacs - all of whom adapted Hegel's dialectical model, in an effort to demonstrate the central contradictions of twentieth-century aesthetics. (shrink)

: Bayesians and error statisticians have relied heavily upon examples from physics in developing their accounts of scientific inference. The present essay demonstrates it is possible to analyze H.B.D. Kettlewell's classic study of natural selection from Deborah Mayo's error statistical point of view (Mayo 1996). A comparison with a previous analysis of this episode from a Bayesian perspective (Rudge 1998) reveals that the error statistical account makes better sense of investigations such as Kettlewell's because it clarifies how core elements in (...) the design of experiments are used to minimize erroneous inferences rather than dwelling on whether the strategies used are reasonable. (shrink)

As part of his defence of panpsychism, Strawson introduces the notion of 'brute' emergence, and hints at a contrasting notion of 'true' emergence. Panpsychism is true not least because brute emergence is incoherent. The alternative relation of true emergence is coherent and congruent with panpsychism. Strawson's distinction suggests that panpsychists endorse true emergence, while emergentists endorse brute emergence. I show that this yields a false dichotomy, which wrongly associates traditional emergentism with an implausible notion of emergence. I clarify the nature (...) and purpose of true and brute emergence, and I argue that traditional emergentists should reject both of them. (shrink)

Asim Barut once,en passant, asked the question “For what transitions of the hydrogen atom do the spectral lines coincide”? It is a pleasure for us to give the answer in this paper.

Starting from the study of the physical world, we develop the concept of a dual pair, Comparing dual pairs is known as duality. We show that duality is a basic mechanism for our intellectual curiosity.

Theodosius Dobzhansky has long been recognized by historians as a pioneer in the combining of the 'field natural history' and 'laboratory experimentalist' traditions in biology (Allen 1994). The following essay analyzes two papers in his wellknown Genetics of Natural Populations series, GNP IX and GNP XII, which demonstrate how Dobzhansky combined field and laboratory work in the pursuit of an evolutionary question. The analysis reveals the multiple and complementary roles field observations and experiments played in his investigations. But it also (...) identifies several interpretive problems associated with the use of intervention that limited the effectiveness of his approach. The essay argues that these problems reflect a fundamental tension between the amount of control Dobzhansky had over the circumstances of his experiments and the applicability of his results to natural populations. It concludes that this trade-off represents an important distinction between experiments in biology and most other sciences. (shrink)

Science education researchers have long advocated the central role of the nature of science for our understanding of scientific literacy. NOS is often interpreted narrowly to refer to a host of epistemological issues associated with the process of science and the limitations of scientific knowledge. Despite its importance, practitioners and researchers alike acknowledge that students have difficulty learning NOS and that this in part reflects how difficult it is to teach. One particularly promising method for teaching NOS involves an explicit (...) and reflective approach using the history of science. The purpose of this study was to determine the influence of a historically based genetics unit on undergraduates’ understanding of NOS. The three-class unit developed for this study introduces students to Mendelian genetics using the story of Gregor Mendel’s work. NOS learning objectives were emphasized through discussion questions and investigations. The unit was administered to undergraduates in an introductory biology course for pre-service elementary teachers. The influence of the unit was determined by students’ responses to the SUSSI instrument, which was administered pre- and post-intervention. In addition, semi-structured interviews were conducted that focused on changes in students’ responses from pre- to post-test. Data collected indicated that students showed improved NOS understanding related to observations, inferences, and the influence of culture on science. (shrink)

Concepts related to the nature of science have been considered an important part of scientific literacy as reflected in its inclusion in curriculum documents. A significant amount of science education research has focused on improving learners’ understanding of NOS. One approach that has often been advocated is an explicit and reflective approach. Some researchers have used the history of science to provide learners with explicit and reflective experiences with NOS concepts. Previous research on using the history of science in science (...) instruction has approached HOS in many different ways and consequently has led to inconsistent findings regarding its utility for improving learning. One promising method for overcoming this inconsistency and teaching NOS with more traditional science content is using stories based in the history of science. A mixed method approach was used to determine whether and how the use of science stories influences undergraduates’ understanding of NOS. Particular attention was paid to the explanations that students used for their understandings. Intervention and control groups completed the Student Understanding of Science and Scientific Inquiry instrument. The intervention group was taught using two historical narratives while the control group was taught using minimal history. A subset of both groups was also interviewed regarding their SUSSI responses and their experiences in the course. Results indicated that the introduction of science stories helped participants gain a better understanding of the role of imagination and creativity in science. Participants mentioned science stories in their explanations for why they changed towards more informed views on SUSSI items related to imagination and creativity. The current study adds to a growing body of literature regarding the use of stories in the science classroom. (shrink)

The phenomenon of industrial melanism became widely acknowledged as a well-documented example of natural selection largely as a result of H.B.D. Kettlewell’s pioneering research on the subject in the early 1950s. It was quickly picked up by American biology textbooks starting in the early 1960s and became ubiquitous throughout the 1970s, 1980s and 1990s. While recent research on the phenomenon broadly supports Kettlewell’s explanation of IM in the peppered moth, which in turn has strengthened this example of natural selection, textbook (...) IM entries have actually declined in recent years in favor of other examples. In a previous paper, we drew attention to the pivotal role visual aspects played in the introduction of IM into textbook accounts. The present article continues this investigation by analyzing textual passages on industrial melanism within a stratified random sample of textbooks from the 1960s to the 2000s. The fact that this example of natural selection was included by multiple publishers independently, in a short period of time, makes it uniquely qualified for a textbook study of this kind. The purpose of the present project was to determine whether these textbooks contain what has come to be known as the standard peppered moth story. Three complete series were also inspected for change across time. Our analysis focused on the amount of text devoted to industrial melanism; what specific science content elements were present; and what, if any, nature of science aspects were included. The study documents an increase in the amount of text devoted to industrial melanism over the decades. In spite of this increase, only modest changes in science content and NOS aspects were found. (shrink)

The language comprehension system preferentially assumes that agents come first during incremental processing. While this might reflect a biologically fixed bias, shared with other domains and other species, the evidence is limited to languages that place agents first, and so the bias could also be learned from usage frequency. Here, we probe the bias with electroencephalography (EEG) in Äiwoo, a language that by default places patients first, but where sentence-initial nouns are still locally ambiguous between patient or agent roles. Comprehenders (...) transiently interpreted nonhuman nouns as patients, eliciting a negativity when disambiguation was toward the less common agent-initial order. By contrast and against frequencies, human nouns were transiently interpreted as agents, eliciting an N400-like negativity when the disambiguation was toward patient-initial order. Consistent with the notion of a fixed property, the agent bias is robust against usage frequency for human referents. However, this bias can be reversed by frequency experience for nonhuman referents. (shrink)

Most philosophers take Benacerraf’s argument in ‘What numbers could not be’ to rebut successfully the reductionist view that numbers are sets. This philosophical consensus jars with mathematical practice, in which reductionism continues to thrive. In this note, we develop a new challenge to Benacerraf’s argument by contesting a central premise which is almost unanimously accepted in the literature. Namely, we argue that — contra orthodoxy — there are metaphysically relevant reasons to prefer von Neumann ordinals over other set-theoretic reductions of (...) arithmetic. In doing so, we provide set-theoretical facts which, we believe, are crucial for informed assessment of reductionism. (shrink)

A quantitative analysis of a trans-generational, conversational corpus of Chintang (Tibeto-Burman) speakers with community-wide bilingualism in Nepali (Indo-European) reveals that children show more code-switching into Nepali than older speakers. This confirms earlier proposals in the literature that code-switching in bilingual children decreases when they gain proficiency in their dominant language, especially in vocabulary. Contradicting expectations from other studies, our corpus data also reveal that for adults, multi-word insertions of Nepali into Chintang are just as likely to undergo full syntactic integration (...) as single-word insertions. Speakers of younger generations show less syntactic integration. We propose that this reflects a change between generations, from strongly asymmetrical, Chintang-dominated bilingualism in older generations to more balanced bilingualism where Chintang and Nepali operate as clearly separate systems in younger generations. This change is likely to have been triggered by the increase of Nepali presence over the past few decades. (shrink)