Popper: yet again Content Type Journal Article Category Book Review Pages 1-4 DOI 10.1007/s11016-012-9669-y Authors SorinBangu, Department of Philosophy, University of Illinois, Urbana, IL 61801, USA Journal Metascience Online ISSN 1467-9981 Print ISSN 0815-0796.
Arguing for mathematical realism on the basis of Field’s explanationist version of the Quine–Putnam Indispensability argument, Alan Baker has recently claimed to have found an instance of a genuine mathematical explanation of a physical phenomenon. While I agree that Baker presents a very interesting example in which mathematics plays an essential explanatory role, I show that this example, and the argument built upon it, begs the question against the mathematical nominalist.
The Principle of Indifference is a central element of the ‘classical’ conception of probability, but, for all its strong intuitive appeal, it is widely believed that it faces a devastating objection: the so-called (by Poincare´) ‘Bertrand paradoxes’ (in essence, cases in which the same probability question receives different answers). The puzzle has fascinated many since its discovery, and a series of clever solutions (followed promptly by equally clever rebuttals) have been proposed. However, despite the long-standing interest in this problem, an (...) important assumption, necessary for its generation, has been overlooked. My aim in this paper is to identify this assumption. Since what it claims turns out to be prima facie problematic, I will urge that the burden of proof now shifts to the objectors to PI; they have to provide reasons why this assumption holds. (shrink)
In this paper I criticize one of the most convincing recent attempts to resist the underdetermination thesis, Laudan’s argument from indirect confirmation. Laudan highlights and rejects a tacit assumption of the underdetermination theorist, namely that theories can be confirmed only by empirical evidence that follows from them. He shows that once we accept that theories can also be confirmed indirectly, by evidence not entailed by them, the skeptical conclusion does not follow. I agree that Laudan is right to reject this (...) assumption, but I argue that his explanation of how the rejection of this assumption blocks the skeptical conclusion is flawed. I conclude that the argument from indirect confirmation is not effective against the underdetermination thesis. (shrink)
According to standard (quantum) statistical mechanics, the phenomenon of a phase transition, as described in classical thermodynamics, cannot be derived unless one assumes that the system under study is infinite. This is naturally puzzling since real systems are composed of a finite number of particles; consequently, a well‐known reaction to this problem was to urge that the thermodynamic definition of phase transitions (in terms of singularities) should not be “taken seriously.” This article takes singularities seriously and analyzes their role by (...) using the well‐known distinction between data and phenomena , in an attempt to better understand the origin of the puzzle. *Received April 2009; revised July 2009. †To contact the author, please write to: University of Cambridge, Department of History and Philosophy of Science, Free School Lane, Cambridge CB2 3RH, United Kingdom; e‐mail: sib24@cam.ac.uk. (shrink)
: Some of the great physicists' belief in the existence of a connection between the aesthetical features of a theory (such as beauty and simplicity) and its truth is still one of the most intriguing issues in the aesthetics of science. In this paper I explore the philosophical credibility of a version of this thesis, focusing on the connection between the mathematical beauty and simplicity of a theory and its truth. I discuss a heuristic interpretation of this thesis, attempting to (...) clarify where the appeal of this Pythagorean view comes from and what are the arguments favoring its acceptance or rejection. Along the way, I sketch the historical context in which this heuristic interpretation gained credibility (the quantum crisis in physics in the 1920s), as well as the more general implications of this thesis for physicists' metaphysical outlook. (shrink)
In this paper I reconstruct and critically examine the reasoning leading to the famous prediction of the ‘omega minus’ particle by M. Gell-Mann and Y. Ne’eman (in 1962) on the basis of a symmetry classification scheme. While the peculiarity of this prediction has occasionally been noticed in the literature, a detailed treatment of the methodological problems it poses has not been offered yet. By spelling out the characteristics of this type of prediction, I aim to underscore the challenges raised by (...) this episode to standard scientific methodology, especially to the traditional deductive-nomological account of prediction. (shrink)
I argue that a recent version of the doctrine of mathematical naturalism faces difficulties arising in connection with Wigner's old puzzle about the applicability of mathematics to natural science. I discuss the strategies to solve the puzzle and I show that they may not be available to the naturalist.
Arguing for mathematical realism on the basis of Field’s explanationist version of the Quine–Putnam Indispensability argument, Alan Baker has recently claimed to have found an instance of a genuine mathematical explanation of a physical phenomenon. While I agree that Baker presents a very interesting example in which mathematics plays an essential explanatory role, I show that this example, and the argument built upon it, begs the question against the mathematical nominalist.
Steiner defines naturalism in opposition to anthropocentrism, the doctrine that the human mind holds a privileged place in the universe. He assumes the anthropocentric nature of mathematics and argues that physicists’ employment of mathematically guided strategies in the discovery of quantum mechanics challenges scientists’ naturalism. In this paper I show that Steiner’s assumption about the anthropocentric character of mathematics is questionable. I draw attention to mathematicians’ rejection of what Maddy calls ‘definabilism’, a methodological maxim governing the development of mathematics. I (...) contend that because definabilism is anthropocentric, its rejection casts doubts on Steiner’s assumption. (shrink)
The question as to whether there are mathematical explanations of physical phenomena has recently received a great deal of attention in the literature. The answer is potentially relevant for the ontology of mathematics; if affirmative, it would support a new version of the indispensability argument for mathematical realism. In this article, I first review critically a few examples of such explanations and advance a general analysis of the desiderata to be satisfied by them. Second, in an attempt to strengthen the (...) realist position, I propose a new type of example, drawing on probabilistic considerations. 1 Introduction2 Mathematical Explanations2.1 ‘Simplicity’3 An Average Story: The Banana Game3.1 Some clarifications3.2 Hopes and troubles for the nominalist3.3 New hopes?3.4 New troubles4 Conclusion. (shrink)
Bangu (2010) claims that Bertrand’s paradox rests on a hitherto unrecognized assumption, which assumption is sufficiently dubious to throw the burden of proof back onto ‘objectors to [the principle of indifference]’ (2010: 31). We show that Bangu’s objection to the assumption is ill-founded and that the assumption is provably true.
I was in Bucharest for a few days, not long before the fall of Ceaucescu’s regime. The fear, both of the authorities and of the people, which reigned in the city was vividly felt everywhere. To be sure, the communist regime was based on a doctrine that called itself ‘dialectic’. Unfortunately, it was a ‘dialectic’ that had nothing to do with dialogue, with listening to the other, respecting the other, and learning from the other. It assumed that ‘truth’ and ‘justice’ (...) were the absolute monopoly of one side – the side which enforced its monopoly by the sheer force of power. The atmosphere couldn’t but be of repression, since there was no room for alternative ideas, which for the dominant ‘dialectic’ were necessarily wrong. There was no room for argument, debate and persuasion other than brainwashing and the passive acceptance of the ideas in power. The reigning doctrine was the nemesis of dialectic, for it denied its sine qua non: tolerance. Sorin grew up in this atmosphere, where in spite of its oppressive character, he developed a concern for truth, a tolerant and gentle character, and a sense for the fundamental value of rational persuasion. No wonder that he was attracted by dialogue and argumentation, and devoted his research to them – not merely as an object of study, but also as a method of research and a form of life. It is an honor for me, as a member of IADA, the association devoted to the study of dialogue founded by Sorin, of ISSA, the society whose object of study is argumentation, of IASC, the association that recognizes and investigates the essential role of controversy in the growth of knowledge and in the improvement of society, and as a friend, to pay a well deserved tribute to Sorin Stati’s memory and to his achievements. He was one of the pioneers in the contemporary study of argumentation. Although his research in this field focused on the linguistic analysis of argumentative discourse, he did not neglect other approaches. His role in leading to the organization, in July 2002 in Lugano, of a memorable conference where the above mentioned three international associations joined forces with the Università della Svizzera Italiana in an interdisciplinary, cooperative as well as contrastive drive for increasing our understanding of the multi-faceted phenomenon of argumentation, was decisive.. (shrink)
1 The notion of specicity has played a signicant role in linguistic theory both in the elds of semantics and, increasingly, in work on syntax/semantics interface. (For work in the semantics/philosophy of language realm, see, Fodor (1970), Abbott (1976), Kripke (1977), Fodor and Sag (1982), Higginbotham (1988) and Enc (1991) among many others; see also Pesetsky (1987), Szabolcsi and Zwarts (1991), Diesing (1992), Dobrovie- Sorin (1993), E. Kiss (1993), Mahajan (1992), and Chung (1994) for work where specicity is (...) discussed in connection with syntactic matters.) Specicity is interesting for the student of semantics because it is crucially relevant to establishing varieties of reference (and referents). For the syntactician, the notion of specicity comes up when attempting to account for the use of various case markers on DOs in languages as diverse as Romanian, Turkish, and Hindi, or when attempting to account for the full spectrum of judgments concerning weak island violations and the interpretation of multiple wh-questions. The rst point I will argue for is that there are several distinct (though possibly related) notions of specicity that should be kept apart. More specically, I will argue that there are at least three. The discussion inevitably leads to Fodor and Sag's ambiguity claim, which in turn leads to the issue of the possible scopes of indenite (weak) noun phrases versus the possible scope of quanticational (strong) noun phrases. Section 3 will establish the relevant empirical generalizations concerning simple indenites and distributives, and Section 4 captures them within a non-congurational theory of scope proposed in Farkas (1993) and Farkas (1994a). (shrink)
The phenomenological tautology of life in Michel Henry’s works shows us that the radical concept of self-affection, in its own immanence, cannot be described in another way, either by metaphor or analogy for example, but only by that immediate relation like adequacy on itself: “life as life”. The reduplication of the fundamental concept in Henry’s last “theological” turn introduced a new Transcendence: the Self-Affection of the Absolute Life, the Christian God as Revelation. In this way, we can diversify the tautology (...) of life trying to read it using Saint Maximus the Confessor’s theology: “Life as Life” like the Absolute phenomenological Life of Trinity in Unity; “life as Life” for the creation of the human living by the Living God; “life as life” for the existence of the man, ek-sisting in a world affected by the original transgression; “Life as life” for the Incarnation of the Logos of God; “life as Life — 2” for the rebirth of the human living into Christ and His Mystical Body. (shrink)
Machine generated contents note: Introduction * Kant and Sartre * Methodology * PART I: KANT * Agency * Identity * Freedom * Autonomy * Normativity * Happiness and Virtue * Moral and Political Knowledge * Action-guiding Criteria * PART II: SARTRE AND KANT * Person * The 'I think' * Psychological Rationalism and Empiricism * Synthesis and Analysis * Freedom * Disposition and Project * Determinism and Arbitrariness * Causation and Projection * Morality *. Imperative and Value * Insensitiveness to (...) Singularity * Lawfulness and Authenticity * Politics * Regulative and Constitutive Principles * The Fallacy of Historical Legitimacy * Rights and Customs * Conclusion. (shrink)
Trust in the doctor-patient relationship is an indispensable structural element for the medical profession. The discourse concerning trust and its importance in the healthcare context, although quite old, elicits increasingly more interest in research, especially for empirical approaches. The importance of trust in the doctor and in the medical profession can be demonstrated by starting from the Christian meaning of illness and medicine ; generally, the patristic sources see medicine and physicians as God’s gifts. T he perception of Christian physicians (...) as dedicated, unselfish and compassionate preservers or restorers of health, always committed to the good of their patients is well known. The model of the Christian physician is a Hippocratic model, of one who seeks the sick so that he may bring relief to them and strengthen them. When illness occurs, Christianity affirms an ethical duty to struggle against sickness, which if unaddressed can lead to death. The moral requirement to care for the health of the body indicates it is appropriate to use healing methods that will enhance health and maintain life. The aim of this paper is to explore the dimensions of the concept of trust in the doctor-patient relationship, by starting from the Christian meaning of illness and of the role of the doctor. The paper presents a number of essential theoretical elements related to trust, as presented in the literature dealing with the doctor-patient relationship: the meaning of trust, its dimensions, its stages of development, its impact, its sources, the patient’s perspectives on trust, the importance of trust for healthcare systems. (shrink)
A critical approach on tolerance can be done as an endeavor to asset its rational arguments brought in its support or/and as a justification of its moral value within the process of human being completion. The commitment to such critical task is more necessary as it is unyieldingness summon in contemporary debates in political religious and, especially moral contexts, it has been equally valorized and contested. The most remarkable analyses of this rather summary rubric for many and often contradictory connotations, (...) then concept, underline the idea that a limit-matter is at stake: can be tolerated the intolerable? Because these boundaries are hard to be distinguished the critical position intellectually reasonable seems to be that of examining if is not more socially profitable and morally justifiable to be tolerant rather than intolerant.Developing possible arguments for and against the universal value of tolerance, critical discourse imposes a very meaningful statement: to uphold our humanity, even the demand for our right to intolerance must be done within the framework and with the means of tolerance. (shrink)
This volume of new essays provides a comprehensive and structured examination of Kant's justification of norms, a crucial but neglected theme in Kantian practical philosophy.
