Memoirs of the Literary and Philosophical Society of Manchester.

ser.2:v.1 (1805)

The Edinburgh new philosophical journal.

v.46 (1848-1849)

The Edinburgh new philosophical journal.

v.36 (1843-1844)

On the applicability of mathematics : philosophical and historical perspectives

The present thesis is a contribution to the debate on the applicability of mathematics; it examines the interplay between mathematics and the world, using historical case studies. The first part of the thesis consists of four small case studies. In chapter 1, I criticize "ante rem structuralism", proposed by Stewart Shapiro, by showing that his so-called "finite cardinal structures" are in conflict with mathematical practice. In chapter 2, I discuss Leonhard Euler's solution to the Königsberg bridges problem. I propose interpreting Euler's solution both as an explanation within mathematics and as a scientific explanation. I put the insights from the historical case to work against recent philosophical accounts of the Königsberg case. In chapter 3, I analyze the predator-prey model, proposed by Lotka and Volterra. I extract some interesting philosophical lessons from Volterra's original account of the model, such as: Volterra's remarks on mathematical methodology; the relation between mathematics and idealization in the construction of the model; some relevant details in the derivation of the Third Law, and; notions of intervention that are motivated by one of Volterra's main mathematical tools, phase spaces. In chapter 4, I discuss scientific and mathematical attempts to explain the structure of the bee's honeycomb. In the first part, I discuss a candidate explanation, based on the mathematical Honeycomb Conjecture, presented in Lyon and Colyvan (2008). I argue that this explanation is not scientifically adequate. In the second part, I discuss other mathematical, physical and biological studies that could contribute to an explanation of the bee's honeycomb. The upshot is that most of the relevant mathematics is not yet sufficiently understood, and there is also an ongoing debate as to the biological details of the construction of the bee's honeycomb. The second part of the thesis is a bigger case study from physics: the genesis of GR. Chapter 5 is a short introduction to the history, physics and mathematics that is relevant to the genesis of general relativity (GR). Chapter 6 discusses the historical question as to what Marcel Grossmann contributed to the genesis of GR. I will examine the so-called "Entwurf" paper, an important joint publication by Einstein and Grossmann, containing the first tensorial formulation of GR. By comparing Grossmann's part with the mathematical theories he used, we can gain a better understanding of what is involved in the first steps of assimilating a mathematical theory to a physical question. In chapter 7, I introduce, and discuss, a recent account of the applicability of mathematics to the world, the Inferential Conception (IC), proposed by Bueno and Colyvan (2011). I give a short exposition of the IC, offer some critical remarks on the account, discuss potential philosophical objections, and I propose some extensions of the IC. In chapter 8, I put the Inferential Conception (IC) to work in the historical case study: the genesis of GR. I analyze three historical episodes, using the conceptual apparatus provided by the IC. In episode one, I investigate how the starting point of the application process, the "assumed structure", is chosen. Then I analyze two small application cycles that led to revisions of the initial assumed structure. In episode two, I examine how the application of "new" mathematics - the application of the Absolute Differential Calculus (ADC) to gravitational theory - meshes with the IC. In episode three, I take a closer look at two of Einstein's failed attempts to find a suitable differential operator for the field equations, and apply the conceptual tools provided by the IC so as to better understand why he erroneously rejected both the Ricci tensor and the November tensor in the Zurich Notebook.

Altruism - a philosophical analysis

Altruism is a malleable notion that is understood differently in various disciplines. The common denominator of most definitions of altruism is the idea of unidirectional helping behaviour. However, a closer examination reveals that the term altruism sometimes refers to the outcomes of a helping behaviour for the agent and its neighbours - i.e. reproductive altruism - and sometimes to what motivates the agent to help others - i.e. psychological altruism. Since these perspectives on altruism are crucially different, it is important to use a clear terminology to avoid confusion. In particular, we show that the notion of altruism used by biologists profoundly differs from the ones used by philosophers, psychologists and economists in cross-disciplinary debates about human altruism.

Research in psychopathology: epistemologic issues.

Etiologic research in psychiatry relies on an objectivist epistemology positing that human cognition is specified by the "reality" of the outer world, which consists of a totality of mind-independent objects. Truth is considered as some sort of correspondence relation between words and external objects, and mind as a mirror of nature. In our view, this epistemology considerably impedes etiologic research. Objectivist epistemology has been recently confronting a growing critique from diverse scientific fields. Alternative models in neurosciences (neuronal selection), artificial intelligence (connectionism), and developmental psychology (developmental biodynamics) converge in viewing living organisms as self-organizing systems. In this perspective, the organism is not specified by the outer world, but enacts its environment by selecting relevant domains of significance that constitute its world. The distinction between mind and body or organism and environment is a matter of observational perspective. These models from empirical sciences are compatible with fundamental tenets of philosophical phenomenology and hermeneutics. They imply consequences for research in psychopathology: symptoms cannot be viewed as disconnected manifestations of discrete localized brain dysfunctions. Psychopathology should therefore focus on how the person's self-coherence is maintained and on the understanding and empirical investigation of the systemic laws that govern neurodevelopment and the organization of human cognition.

Identification concept and the use of probabilities in forensic odontology--an approach by philosophical discussion.

This paper questions the practitioners' deterministic approach(es) in forensic identification and notes the limits of their conclusions in order to encourage a discussion to question current practices. With this end in view, a hypothetical discussion between an expert in dentistry and an enthusiastic member of a jury, eager to understand the scientific principles of evidence interpretation, is presented. This discussion will lead us to regard any argument aiming at identification as probabilistic.

Interior sense mobles. A l'entorn d'una possible hermenèutica en Adorno

Theodor W. Adorno construeix la modernitat com la fase final d'un procés d'emancipació que ha conduït justament al contrari del que es pretenia. L'alliberament del mite ha portat a una situació històrica en la qual l'encobriment ideològic del món és total. Això té conseqüències per a un pensament que vol ser crític, ja que haurà de trobar un lloc des d'on es pugui interpretar la història per tal de salvar la veritat d'un possible món diferent. En el moment de màxima ocultació ideològica i de màxim absurd -és conegut que Adorno es refereix al món contemporani com al temps després d'Auschwitz- Adorno intentarà entendre què ha passat amb aquest subjecte que s'ha preocupat excessivament per la seva identitat. Mitjançant l'aplicació del model psicoanalític d'interpretació a textos de Beckett i Kafka reconstruirà la història de l'emancipació fallida del subjecte modern. Amb aquestes interpretacions Adorno se situa no només molt a prop de la pràctica psicoanalítica, sinó també de la tradició hermenèutica clàssica.

The cave (La caverna -1952-1969) by Josep Palau i Fabre: theatre versus philosophical allegory in order both to perform and stop the tragic and dark end of the bright art of thinking

What is the use of representing in performance the image of the cave from book VII of Plato’s Republic? Josep Palau i Fabre considers that in Plato’s dialogues the speakers are mere instruments at the service of his dialectical purpose. The aim of this article is to show how, by turning the myth into a tragedy and relying on Heraclitus’s conflict or war of opposites, the playwright succeeds in favouring a sort of thought which is not one-sided or univocal. On the contrary, in Palau i Fabre’s La Caverna, the tragic hero, the released prisoner transformed by the light of Reality and finally killed by his “cavemates” –after having been imprisoned again and having tried to rescue them from their ignorance or shadows– still leaves them his powerful experience of the agonistikós thought, which might bear fruit in their life to come.

Behind and beyond of the cyborgs and robots ideas and realities: some techno-scientific and philosophical hints

We are progressively immersed in technology to such extend that in our everyday life we are and we do what technology allows us to be and to do. In this process, cyborgs and robots constitute elements that we analyze from a number of techno scientific and philosophical approaches. Additionally, we propose that a new concept: GEH (Genetic Engineered Human) as a new potential social imaginary element, which would be the human being improved by the broad-sense genetics engineer (that is, changing many genes by genetics engineer, modifications in the genome, cloning, and so on). If our aspirations as humans pass through technology and in particular for cyborgs, robots and GEH, the bidirectional links between these theoretical or real entities and our personal identities will be the more and more substantial in our society.