Practical Identity, Contingency and Humanity

Aim of this paper is to support the view that all human practical identities are contingent by arguing against the view that there is at least one necessary practical identity shared by all human beings, namely Humanity. The view that Humanity is a necessary practical identity is explicitly defended by Christine M. Korsgaard (Korsgaard, C. M. 1996. The Sources of Normativity, edited by O. O’Neill. Cambridge: Cambridge University Press; Korsgaard, C. M. 2009. Self-Constitution: Agency, Identity, and Integrity. New York: Oxford University Press) and indirectly by Marya Schechtman (Schechtman, M. 2014. Staying Alive: Personal Identity, Practical Concerns, and the Unity of a Life. New York: Oxford University Press). Korsgaard understands Humanity both in terms of pure self-legislation, and as deep sociality. In the first case, Humanity as self-legislation faces what I call ‘Existential dilemma’: either Humanity has specific content, typical of contingent practical identities, but stops being necessary for all human beings; or Humanity is emptied of its content and is conceived of as necessary self-legislation, but stops being a practical identity. In the second case, i.e., Humanity as deep sociality, Korsgaard confuses the necessary natural fact that human beings are social creatures, with contingent contexts of human socialization, which are the true sources of specifically human practical identities. I articulate this confusion in the guise of what I call ‘Nature/Nurture dilemma’, which also applies to the morally neutral account of human personhood advocated by Schechtman (Schechtman, M. 2014. Staying Alive: Personal Identity, Practical Concerns, and the Unity of a Life. Oxford University Press). In conclusion, I address the worry that without the necessary practical identity of Humanity we might not be able to extend our practical and moral concerns to distant fellow human beings by sketching an alternative path to extend such concerns.

Showing Mathematical Flies the Way Out of Foundational Bottles: The Later Wittgenstein as a Forerunner of Lakatos and the Philosophy of Mathematical Practice

This work explores the later Wittgenstein’s philosophy of mathematics in relation to Lakatos’ philosophy of mathematics and the philosophy of mathematical practice. I argue that, while the philosophy of mathematical practice typically identifies Lakatos as its earliest of predecessors, the later Wittgenstein already developed key ideas for this community a few decades before. However, for a variety of reasons, most of this work on philosophy of mathematics has gone relatively unnoticed. Some of these ideas and their significance as precursors for the philosophy of mathematical practice will be presented here, including a brief reconstruction of Lakatos’ considerations on Euler’s conjecture for polyhedra from the lens of late Wittgensteinian philosophy. Overall, this article aims to challenge the received view of the history of the philosophy of mathematical practice and inspire further work in this community drawing from Wittgenstein’s late philosophy.

The Quasi-Empirical Epistemology of Mathematics

This paper clarifies and discusses Imre Lakatos’ claim that mathematics is quasi-empirical in one of his less-discussed papers A Renaissance of Empiricism in the Recent Philosophy of Mathematics. I argue that (1) Lakatos’ motivation for classifying mathematics as a quasi-empirical theory is epistemological; (2) what can be called the quasi-empirical epistemology of mathematics is not correct; (3) analysing where the quasi-empirical epistemology of mathematics goes wrong will bring to light reasons to endorse a pluralist view of mathematics.

Degeneration and Entropy

Lakatos’s analysis of progress and degeneration in the Methodology of Scientific Research Programmes is well-known. Less known, however, are his thoughts on degeneration in Proofs and Refutations. I propose and motivate two new criteria for degeneration based on the discussion in Proofs and Refutations – superfluity and authoritarianism. I show how these criteria augment the account in Methodology of Scientific Research Programmes, providing a generalized Lakatosian account of progress and degeneration. I then apply this generalized account to a key transition point in the history of entropy – the transition to an information-theoretic interpretation of entropy – by assessing Jaynes’s 1957 paper on information theory and statistical mechanics.

Reflections on Popular Culture and Philosophy

Contributions to the philosophical genre of popular culture and philosophy aim to popularize philosophical ideas with the help of references to the products of popular (mass) culture with TV series like The Simpsons, Hollywood blockbusters like The Matrix and Jurassic Park, or popular music groups like Metallica. While being commercially successful, books in this comparatively new genre are often criticized for lacking scientific rigor, providing a shallow cultural commentary, and having little didactic value to foster philosophical understanding. This paper discusses some of these methodological and didactic objections and seeks to encourage a constructive discussion of concerns with the genre. It shows how the genre similar to previous attempts to foster public understanding of philosophy and that it is a methodologically viable approach to reach a broad range of readers with diverse informational preferences and educational backgrounds. Considering what makes this approach to the popularization of philosophical thinking successful will shed light on some of the criteria for popularization of philosophy in general.

HYPER-REF: A General Model of Reference for First-Order Logic and First-Order Arithmetic

In this article I present HYPER-REF, a model to determine the referent of any given expression in First-Order Logic (FOL). I also explain how this model can be used to determine the referent of a first-order theory such as First-Order Arithmetic (FOA). By reference or referent I mean the non-empty set of objects that the syntactical terms of a well-formed formula (wff) pick out given a particular interpretation of the language. To do so, I will first draw on previous work to make explicit the notion of reference and its hyperintensional features. Then I present HYPER-REF and offer a heuristic method for determining the reference of any formula. Then I discuss some of the benefits and most salient features of HYPER-REF, including some remarks on the nature of self-reference in formal languages.

Wittgenstein, Ordinary Language, and Poeticity

The later Wittgenstein famously holds that an understanding which tries to run up against the limits of language bumps itself and results in nothing but plain nonsense. Therefore, the task of philosophy cannot be to create an ‘ideal’ language so as to produce a ‘real’ understanding for the first time; its aim must be to remove particular misunderstandings by clarifying the use of our ordinary language. Accordingly, Wittgenstein opposes both the sublime terms of traditional philosophy and the formal frameworks of modern logics—and adheres to a pointedly casual, colloquial style in his own philosophizing. However, there seems to lurk a certain inconsistency in Wittgenstein’s ordinary language approach: his philosophical remarks frequently remain enigmatic, and many of the terms Wittgenstein coins seem to be highly technical. Thus, one might wonder whether his verdicts on the limits of language and on philosophical jargons might not be turned against his own practice. The present essay probes the extent to which the contravening tendencies in Wittgenstein’s mature philosophy might be reconciled. Section 2 sketches Wittgenstein’s general approach to philosophy and tracks the special rôle that the language of everyday life occupies therein. Section 3 reconstructs Wittgenstein’s preferred method for philosophy, which he calls perspicuous representation, and argues that this method implements an aesthetic conception of philosophy and a poetic approach to philosophical language, in which philosophical insights are not explicitly stated, but mediated through well-worded and creatively composed descriptions. Section 4 discusses how Wittgenstein’s philosophical poetics relates to artificial terminologies and grammars in philosophy and science.

Learning by Ignoring the Most Wrong

Imprecise probabilities (IP) are an increasingly popular way of reasoning about rational credence. However they are subject to an apparent failure to display convincing inductive learning. This paper demonstrates that a small modification to the update rule for IP allows us to overcome this problem, albeit at the cost of satisfying only a weaker concept of coherence.

Coherence and Reduction

Synchronic intertheoretic reductions are an important field of research in science. Arguably, the best model able to represent the main relations occurring in this kind of scientific reduction is the Nagelian account of reduction, a model further developed by Schaffner and nowadays known as the generalized version of the Nagel–Schaffner model (GNS). In their article (2010), Dizadji-Bahmani, Frigg, and Hartmann (DFH) specified the two main desiderata of a reduction á la GNS: confirmation and coherence. DFH first and, more rigorously, Tešic (2017) later analyse the confirmatory relation between the reducing and the reduced theory in terms of Bayesian confirmation theory. The purpose of this article is to analyse and compare the degree of coherence between the two theories involved in the GNS before and after the reduction. For this reason, in the first section, I will be looking at the reduction of thermodynamics to statistical mechanics and use it as an example to describe the GNS. In the second section, I will introduce three coherence measures which will then be employed in the comparison. Finally, in the last two sections, I will compare the degrees of coherence between the reducing and the reduced theory before and after the reduction and use a few numerical examples to understand the relation between coherence and confirmation measures.