In this work we argue that there is no strong demarcation between pure and applied mathematics. We show this first by stressing non-deductive components within pure mathematics, like axiomatization and theory-building in general. We also stress the “purer” components of applied mathematics, like the theory of the models that are concerned with practical purposes. We further show that some mathematical theories can be viewed through either a pure or applied lens. These different lenses are tied to different communities, which endorse (...) different evaluative standards for theories. We evaluate the distinction between pure and applied mathematics from a late Wittgensteinian perspective. We note that the classical exegesis of the later Wittgenstein’s philosophy of mathematics, due to Maddy, leads to a clear-cut but misguided demarcation. We then turn our attention to a more niche interpretation of Wittgenstein by Dawson, which captures aspects of the aforementioned distinction more accurately. Building on this newer, maverick interpretation of the later Wittgenstein’s philosophy of mathematics, and endorsing an extended notion of meaning as use which includes social, mundane uses, we elaborate a fuzzy, but more realistic, demarcation. This demarcation, relying on family resemblance, is based on how direct and intended technical applications are, the kind of evaluative standards featured, and the range of rhetorical purposes at stake. (shrink)

This paper aims to argue against the resolute reading, and offer a correct way of reading Wittgenstein'sTractatus. According to the resolute reading, nonsense can neither say nor show anything. The Tractatus does not advance any theory of meaning, nor does it adopt the notion of using signs in contravention of logical syntax. Its sentences, except a few constituting the frame, are all nonsensical. Its aim is merely to liberate nonsense utterers from nonsense. I argue that these points are either not (...) distinctive from standard interpretations or incorrect. Instead, the Tractarian elucidations help to shed light on the nature of language and logic, and introduce the correct method in philosophy. Philosophy deals with philosophical utterances and Tractarian elucidations by pointing out that they are nonsensical. By doing this, one is helped to see that what they appear to be saying is shown by significant propositions saying something else. (shrink)

This volume draws connections between Wittgenstein's philosophy and the work of Saul Kripke, especially his Naming and Necessity. Saul Kripke is regarded as one of the foremost representatives of contemporary analytic philosophy. His most important contributions include the strict distinction between metaphysical and epistemological questions, the introduction of the notions of contingent a priori truth and necessary a posteriori truth and original accounts of names, descriptions, identity, necessity and realism. The chapters in this book elucidate the relevant connections between Kripke's (...) work and Wittgenstein, specifically concerning the standard meter, contingent apriori and rule-following. The contributions shed light on how Kripke's philosophical outlook was influenced by Wittgenstein, and how mainstream analytic philosophy and Wittgensteinian philosophy can fruitfully engage with one another. Kripke and Wittgenstein will be of interest to philosophers working on Wittgenstein, Kripke, and the history of analytic philosophy. (shrink)

The article combines later Wittgenstein’s fictitious language games, along with the forms of life associated with them, with the concept of otherness and places them both within the philosophy of education. The account of otherness overlaps with the view of fictional language games in that the latter deviates from our ordinary, extant uses of language and our Lebensform, and thus can be perceived as extraordinary, unusual, strange, and sometimes nonsensical. The advantages of dealing with such construed preposterousness rely, first, on (...) its leading to a better understanding of our own form of life; second, on its opening a window on the changing of our form of life; third, on its acquainting us with the other. The educational roles of it are presented, first, as being needed at the very beginning of a child’s language learning, when the learner probes the limits of sense and thus enters the domain of otherness; second, as freeing children from the tyranny of adults’ norms and showing the norms that adults accept as absurd; thirdly, as puzzlement that gives an impulse to our thought development, which occurs in contact with the other. Therefore, it is claimed that Wittgenstein’s later philosophy opens perspectives on educational thinking not only in terms of teacher training (Abrichtung) of the learner to follow the rules of existing practices, but also in terms of imagination and critical attitude towards the existing forms of life. (shrink)

This paper tries to address the question of “philosophy as therapy” or of “therapeutic philosophy” from the point of view of Wittgenstein’s Tractatus Logico-Philosophicus against the picture of the “resolute” interpretation. The main points of interest are here the following ones: first, the reasons for undergoing therapy which, as I try to argue, have to be thought not only from a logical point of view, but also from an ethical one; and second, the decision involved in both the climbing up (...) the Tractatus ladder and the want for cure and peace of mind – that is, the decision for therapy itself. (shrink)

It is generally considered the case that an authorial preface is an author’s opportunity to give the reader a hand in interpreting the work he or she is about to read. It is strange then that the Preface to Wittgenstein’s Tractatus (1922) has often been overlooked. Max Black’s (1964) influential A Companion toWittgenstein’sTractatus, for example, passes over the Preface in silence. And even in the latest published edition of the so-called Prototractatus (1996), the Preface is the only part that appears (...) in hand-written facsimile but is not reproduced in typescript form. Perhaps an argument for not so-reproducing the Preface of the Pro- totractatus in typescript is also an argument for the importance of the Preface: not one letter of this early hand-written text of the Preface is different from the final published edition (I will return to this later). Only of late has the Preface to the Tractatus been seen as having any kind of focal importance.This recent interest in the Preface has largely been spawned by Cora Diamond’s and James Conant’s “New” view of Wittgenstein. This New view (designated as such subsequent to the publication in 2000 of the volume entitled The New Wittgenstein) uses the Preface as a central interpretive tool that, according to this view, shows that the Tractatus takes “a strong anti-metaphysical stand” which is “most explicit in Wittgenstein’s statements in the book’s Preface and concluding remarks.1”The third and fourth paragraphs of the Preface are seen as especially revealing of Wittgenstein’s anti-metaphysical purpose. (shrink)

Homo deceptus is a book that brings together new ideas on language, consciousness and physics into a comprehensive theory that unifies science and philosophy in a different kind of Theory of Everything. The subject of how we are to make sense of the world is addressed in a structured and ordered manner, which starts with a recognition that scientific truths are constructed within a linguistic framework. The author argues that an epistemic foundation of natural language must be understood before laying (...) claim to any notion of reality. This foundation begins with Ludwig Wittgenstein’s Tractatus Logico-Philosophicus and the relationship of language to formal logic. Ultimately, we arrive at an answer to the question of why people believe the things they do. This is effectively a modification of Alfred Tarski’s semantic theory of truth. The second major issue addressed is the ‘dreaded’ Hard Problem of Consciousness as first stated by David Chalmers in 1995. The solution is found in the unification of consciousness, information theory and notions of physicalism. The physical world is shown to be an isomorphic representation of the phenomenological conscious experience. New concepts in understanding how language operates help to explain why this relationship has been so difficult to appreciate. The inclusion of concepts from information theory shows how a digital mechanics resolves heretofore conflicting theories in physics, cognitive science and linguistics. Scientific orthodoxy is supported, but viewed in a different light. Mainstream science is not challenged, but findings are interpreted in a manner that unifies consciousness without contradiction. Digital mechanics and formal systems of logic play central roles in combining language, consciousness and the physical world into a unified theory where all can be understood within a single consistent framework. (shrink)