This book suggests that to know how Wittgenstein’s post-Tractarian philosophy could have developed from the work of Kant is to know how they relate to each other. The development from the latter to the former is invoked heuristically as a means of interpretation, rather than a historical process or direct influence of Kant on Wittgenstein. Ritter provides a detailed treatment of transcendentalism, idealism, and the concept of illusion in Kant’s and Wittgenstein’s criticism of metaphysics. Notably, it is through the conceptions (...) of transcendentalism and idealism that Wittgenstein’s philosophy can be viewed as a transformation of Kantianism. This transformation involves a deflationary conception of transcendental idealism along with the abandonment of both the idea that there can be a priori 'conditions of possibility' logically detachable from what they condition, and the appeal to an original ‘constitution’ of experience. -/- The closeness of Kant and post-Tractarian Wittgenstein does not exist between their arguments or the views they upheld, but rather in their affiliation against forms of transcendental realism and empirical idealism. Ritter skilfully challenges several dominant views on the relationship of Kant and Wittgenstein, especially concerning the cogency of Wittgenstein-inspired criticism focusing on the role of language in the first Critique, and Kant's alleged commitment to a representationalist conception of empirical intuition. (shrink)

In this paper we bring together results from a series of previous papers to prove the constructive version of the Gelfand duality theorem in any Grothendieck topos , obtaining a dual equivalence between the category of commutative C*-algebras and the category of compact, completely regular locales in the topos.

A "concept" in the sense favoured by Wittgenstein is a paradigm for a transition between parts of a notational system. A concept-determining sentence such as "There is no reddish green" registers the absence of such a transition. This suggests a plausible account of what is perceived in an experiment that was first designed by Crane and Piantanida, who claim to have induced perceptions of reddish green. I shall propose a redescription of the relevant phenomena, invoking only ordinary colour concepts. This (...) redescription is not ruled out by anything the experimenters say. It accounts for certain peculiarities in both their descriptions and their subjects', and suggests that instead of discovering forbidden colours the experimenters introduced a new use of "-ish". Still, there is a point in speaking of "reddish green" in their context, which can be motivated by invoking what Wittgenstein calls a "physiognomy". (shrink)

This chapter presents new findings about Maria von Herbert's life. Building on this, an interpretation is offered of what she means when she calls upon Kant "for solace ... or for counsel to prepare [her] for death". It is then argued that Kant's reply is more satisfactory than is commonly appreciated, as he explicitly defines the roles which he is prepared to adopt – that of a "moral physician" and of a "mediator" -- and thus the standards by which to (...) judge his reply. Having said that, his letter does not address what has been viewed as a challenge to Kantian ethics. It is a matter of dispute what exactly this challenge consists in. This chapter identifies the challenge and the terms in which it is most productively stated. Finally, it provides sufficient reasons to establish that a portrait that resurfaced in November 2016 does indeed depict Maria von Herbert. (shrink)

Search engines have become an integral part of our Internet use. They shape the way we look at the world, they provide orientation where there is none; but the maps they draw are too often hijacked by commercial interest. Search engines are less black box than black foam; functional decoupling, parasite technologies, and the embedding in the greater context of culture and society render the search act subject to overdetermination. Control is thus diluted into a dense network of human and (...) non-human “actants” and the power of the search engine is located in a control zone rather than a control center. In order to shift power back to the public, this paper proposes the concept of “symmetry of confidence”, a new relationship between search engine companies and their users. (shrink)

This research commentary proposes a conceptual framework for studying big tech companies as “technical systems” that organize much of their operation around the mastery and operationalization of key technologies that facilitate and drive their continuous expansion. Drawing on the study of Large Technical Systems (LTS), on the work of historian Bertrand Gille, and on the economics of General Purpose Technologies (GPTs), it outlines a way to study the “tech” in “big tech” more attentively, looking for compatibilities, synergies, and dependencies between (...) the technologies created and deployed by these companies. Using Google as example, the paper shows how to interrogate software and hardware through the lens of transversal applicability, discusses software and hardware integration, and proposes the notion of “data amalgams” to contextualize and complicate the notion of data. The goal is to complement existing vectors of “big tech” critique with a perspective sensitive to the specific materialities of specific technologies and their possible consequences. (shrink)

Many commentators of Kant assume that the Refutation of Idealism is directed against a radical sceptic whose sole claim is immediate knowledge of his own representations in inner experience, including, to some extent, their temporal order. Accordingly, the Refutation is viewed as an attempt to establish that the perception of external objects is a prerequisite of knowing the temporal order of our representations. Here it will be argued that this minimal claim has to be supplemented by the proposition that the (...) idealist is aware of himself as a substance in time, if Kant’s Refutation is to be reconstructed as a successful argument. In addition, the view will be defended that the argument is not appropriate to decide the questio facti whether there are external objects or not. It rather establishes that the determination of the self as a substance in time is conceptually dependent on the perception of external objects. As a consequence, the argument does not preclude the possibility that some people are brains in a vat, as Q. Cassam justly remarked. (shrink)

Wie kaum ein Philosoph in akademischen Amt und Wurden zuvor hat Ludwig Wittgenstein damit kokettiert, sich in der Geschichte seines eigenen Faches bestenfalls rudimentar auszukennen. Diese ironische Selbstcharakterisierung hat, ebenso wie Wittgensteins wesentlich ahistorische Art des Philosophierens, dazu gefuhrt, dass seine oftmals subtile Auseinandersetzung mit Autoren der Philosophiegeschichte wenig beachtet wurde. Der Band sucht diese Lucke zu schliessen und untersucht exemplarisch wesentliche Bezuge Wittgensteins zur Philosophiegeschichte von Platon uber Kant und Kierkegaard bis Heidegger.

This note shows that for the proof of the existence and uniqueness of the algebraic closure of a field one needs only the Boolean Ultrafilter Theorem.

In the present note we give a direct deduction of the Axiom of Choice from the Maximal Ideal Theorem for commutative rings with unit.

It is shown in Zermelo-Fraenkel Set Theory that Cκ, the Axiom of Choice for κ-indexed families of arbitrary sets, is equivalent to the condition that the frame envelope of any κ-frame is κ-Lindelöf, for any cardinal κ.

It is shown for an arbitrary topos that the Law of the Excluded Middle holds in its propositional logic iff it satisfies the limited choice principle that every epimorphism from 2 = 1 ⊕ 1 splits.