Manuel Bremer

Notes on Vagueness. A 3-valued approach to vagueness is defended. In contrast to other 3-valued approaches the logic is an extension of classical logic, due to the use of both a Boolean negation and a predicate negation. The view is justified by semantic considerations. Crucial issues (Sorites reasoning, higher order vagueness, existence of cut off points, 'penumbral truth') are discussed from the perspective developed, and some contrasts (mostly to supervaluationism) outlined. An extended version appeared as book in 2026 (Berlin: Logos).

The paper argues against a commitment to metaphysical necessity, semantic modalities are enough. The best approaches to elucidate the semantic modalities are (still) versions of lingustic ersatzism and fictionalism, even if only developed in parts. Within these necessary properties and the difference between natural and semantic laws can be accounted for. The proper background theory for this is an updated version of Logical Empiricism, which is congenial to recent trends in Structural Realism. The anti-metaphysical attitude of Logical Empiricism deserves revitalization. Another target besides metaphysical necessity are substantial forms of iterated modalities, as used, for instance, in the philosophy of religion. An extended version appeared as book in 2025 (Berlin: Logos)

Was ist Philosophische Semantik? Bedarf es neben der Linguistik uberhaupt noch einer "philosophischen" Semantik? Welche Rolle spielt diese Semantik fur die Philosophie im Allgemeinen? Welche methodische Rolle spielt die Klarung von "Bedeutung" fur die Sprachanalytische Philosophie? Tritt die philosophische Semantik an die Stelle der Erkenntnistheorie? In welchem Verhaltnis steht sie zur Ontologie und zur Philosophie des Geistes? Diesen Fragen geht das vorliegende Buch nach. In einem zentralen Verstandnis von Philosophischer Semantik ist das Wesentliche die Beziehung zwischen Bedeutungstheorie und Erkenntnistheorie (vermittels der Rechtfertigung von Satzverwendungen). Eine so verstandene Semantik hat z.T. einen eigenen Ansatz, der einen zentralen Stellenwert fur eine Philosophie in der Analytischen Tradition besitzt. Man kann diese Philosophische Semantik als eine "Erste Philosophie" ansehen."

This book gives an overview of paraconsistent logics - that is logics which allow for inconsistency. Although allowing for inconsistency, paraconsistent logics are worth considering: Logical systems are worth considering in their own right since we can learn about very abstract structural properties of logics and the concepts employed within them such as negation, necessity and consistency. Some non-classical logics are especially of interest from a philosophical perspective since they alone offer the possibility of solving or even stating some philosophical problems. These introductory lectures argue from a philosophical perspective that some paraconsistent logics are of interest or even the best candidates for dealing with specific philosophical problems. Although logic is seen from the point of view of its philosophical use, various formal systems are described, compared and employed.

A theory of the beliefs of non-human animals is not closed to us, only because we do not have beliefs of their kind. Starting from a theory of human beliefs and working on a building block model of propositional attitudes a theory of animal beliefs is viable. Such a theory is an example of the broader conception of a heterophenomenological approach to animal cognition. The theory aims at outlining the crucial differences between human and animal beliefs as well as the relations between these attitudes and theories of them. By this it contributes both to a theory of human cognition and to a theory of the evolutionary origin of human cognition. The capacities of animals can thus be appreciated without making animals minor humans. Human cognition can be seen in its uniqueness without cutting the ties to its evolutionary origin.

Is transcendental pragmatics a matter of ultimate foundation or a matter of holism? Transcendental pragmatics as developed by Karl-Otto Apel has been the object of various criticisms. Against the fallibilists' claim (Albert) that argumentation is at last either dogmatic, axiomatic or circular, the transcendental pragmatists have given an argument that ultimate foundation ('Letztbegründung') cannot be proved to be impossible. But this clarification of their claims leaves open the questions whether their method can establish universal statements, and whether they prove statements which are synthetic a priori. Against the claim of the reconstructive scientist (Habermas) they have to restate their view, and take into account an element of fallibilism. Here we encounter a first element of holism. With regard to the question whether there can be ultimate foundation without ultimate foundation of the method of ultimate foundation holism breaks in. The distinction between a vicious and a transcendental circle, used against Albert, is of no use in the establishment of the transcendental circle.

In the first part the paper rehearses the main arguments why to be a dialetheist (i.e. why to assume that some contradictions are true). Dialetheism, however, has been criticised as irrational or self-refutating. Therefore the second part of the paper outlines one way to make dialetheism rational assertable. True contradictions turn out to be both believable and assertable. The argument proceeds by setting out basic principles of assertion and denial, and employing bivalent truth value operators.

Die in Wittgensteins Anfangsthesen des Tractatus formulierte Ansicht, daß Tatsachen die Bausteine der Welt ausmachen, kann auch so interpretiert werden, daß Tatsachen physische Entitäten sind. Die These von der physischen Existenz von Tatsachen wird in der analytischen Philosophie jedoch weitgehend abgelehnt. Hier wird hingegen versucht, diese Position als Tatsachen-Ontologie kohärent zu entwickeln. Vorzüge diese Position wären u.a. eine elegante Deutung der Vielheit verschiedener wahrer Aussagen, eine gute Basis fur eine Korrespondenztheorie der Wahrheit, Referenz auf strukturierte Raum-Zeit-Bereiche, sie wäre Baustein einer realistischen Situationslogik und könnte eine Lösung für David Lewis' Problem der Einermengen liefern.

In the last twenty years analytic philosophy has seen a rising interest in the philosophy of religion in general and in rational reconstructions of religion related arguments and Christian doctrines. In this short note I like to point to a problem that although cosmological arguments play a great role in the present discussion has not received the attention, I believe, it deserves.[1] An old objection to cosmological arguments, named “the Carriage Objection” by Schopenhauer[2], charges them as being arbitrary: the arguments are employed to carry you to the existence of God, but no further (as the carriage carries you to some destination to be dismissed then, therefore the name of the objection). A simple cosmological argument claims the existence of the universe to require explanation, and offers God as the cause of the universe. The Carriage Objection now asks why the principle of sufficient explanation that carried the argument forth to God will not carry us on to a sufficient explanation of God, and then on – ad infinitum. The regress is considered to be vicious. If one was to accept some brute fact (like the existence of God) then why not stop with the brute fact of the existence of the universe?

The following essay reconsiders the ontological and logical issues around Frege’s Basic Law (V). If focuses less on Russell’s Paradox, as most treatments of Frege’s Grundgesetze der Arithmetik (GGA)1 do, but rather on the relation between Frege’s Basic Law (V) and Cantor’s Theorem (CT). So for the most part the inconsistency of Naïve Comprehension (in the context of standard Second Order Logic) will not concern us, but rather the ontological issues central to the conflict between (BLV) and (CT). These ontological issues are interesting in their own right. And if and only if in case ontological considerations make a strong case for something like (BLV) we have to trouble us with inconsistency and paraconsistency. These ontological issues also lead to a renewed methodological reflection what to assume or recognize as an axiom.

Traditionally transcendental logic has been set apart from formal logic. Transcendental logic had to deal with the conditions of possibility of judgements, which were presupposed by formal logic. Defined as a purely philosophical enterprise transcendental logic was considered as being a priori delivering either analytic or even synthetic a priori results. In this paper it is argued that this separation from the (empirical) cognitive sciences should be given up. Transcendental logic should be understood as focusing on specific questions. These do not, as some recent analytic philosophy has it, include a refutation of scepticism. And they are not to be separated from meta-logical investigations. Transcendental logic properly understood, and redefined along these theses, should concern itself with the (formal) re-construction of the presupposed necessary conditions and rules of linguistic communication in general. It aims at universality and reflexive closure.