Manuel Bremer

This essay characterizes a version of internal realism. In §1 I will argue that for semantical reasons we should be realists of a strong kind. In §2 I plead for an internalistic setting of realism starting from the thesis that truth is, at least, not a non-epistemic concept. We have to bear the consequences of this in form of a more complicated concept of truth. The ‘internal’ of ‘internal realism’ points to the justification aspect of truth. The ‘realism’ of ‘internal realism’ points to the correspondence aspect. A thesis concerning the irreducibility of the two aspects will be established in §3.

This paper looks at some aspects of semantic metarepresentation. It is mostly concerned with questions more formal, concerning the representation format in semantic metarepresentations, and the way they are processed. §1 distinguishes between metacognition and metarepresentation in a narrow and broad sense. §2 reminds the reader of some main areas where metarepresentations have to be used. The main part considers the ways that metarepresentations are built and processed. §3 introduces some general ideas how semantic metarepresentations are built and processed. §4 looks at some recent theories about ways that semantic metarepresentations are built and processed

I consider here several versions of finitism or conceptions that try to work around postulating sets of infinite size. Restricting oneself to the so-called potential infinite seems to rest either on temporal readings of infinity (or infinite series) or on anti-realistic background assumptions. Both these motivations may be considered problematic. Quine’s virtual set theory points out where strong assumptions of infinity enter into number theory, but is implicitly committed to infinity anyway. The approaches centring on the indefinitely large and the use of schemata would provide a work-around to circumvent usage of actual infinities if we had a clear understanding of how schemata work and where to draw the conceptual line between the indefinitely large and the infinite. Neither of this seems to be clear enough. Versions of strict finitism in contrast provide a clear picture of a (realistic) finite number theory. One can recapture standard arithmetic without being committed to actual infinities. The major problem of them is their usage of a paraconsistent logic with an accompanying theory of inconsistent objects. If we are, however, already using a paraconsistent approach for other reasons (in semantics, epistemology or set theory), we get finitism for free. This strengthens the case for paraconsistency.

The book aims to set out in which respects concepts are properly studied in philosophy, what methodological role the study of concepts has in philoso-phy's study of the world. Many of the considerations in this book nowadays are placed under the headline ‘metaphilosophy’. In contrast to paradigmatic ordinary language philosophy the book endorses a representationalist theory of meaning and concepts, thus agreeing with many of its critics in philosophy and the cognitive sciences. In contrast to many of these critics and supposedly the majority of cognitive scientists it endorses the viability of conceptual analysis as one method of philosophy. The book reflects on Frege's theory of concepts, because Frege's theory of sentential unity has barely been super-seded, and the problems arising from Frege's understanding of concepts are still alive. The central part of the book starts by reconsidering the approach and the idea of ordinary language philosophy. Although ordinary language philosophy cannot be the whole of analytic philosophy a proper understanding of conceptual analysis turns out to be one part of analytic philosophy.

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.

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.

The paper deals with the question whether logical truth carry information. On the one hand it seems that we gain new information by drawing inferences or arriving at some theorems. On the other hand the formal accounts of information and information content which are most widely known today say that logical truth carry no information at all. The latter is shown by considering these accounts. Then several ways to deal with the dilemma are distinguished, especially syntactic and ontological solutions. A version of a syntactical solution is favoured.

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.

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.

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.