Manuel Bremer

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.

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 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. Section 1 distinguishes between metacognition and metarepresen- tation in a narrow and broad sense. Section 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. Section 3 introduces some general ideas how semantic metarepresentations are built and processed. Section 4 looks at some recent theories about ways that semantic metarep- resentations are built and processed.

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.

In his recent paper in History and Philosophy of Logic, John Kearns argues for a solution of the Liar paradox using an illocutionary logic (Kearns 2007 ). Paraconsistent approaches, especially dialetheism, which accepts the Liar as being both true and false, are rejected by Kearns as making no ?clear sense? (p. 51). In this critical note, I want to highlight some shortcomings of Kearns' approach that concern a general difficulty for supposed solutions to (semantic) antinomies like the Liar. It is not controversial that there are languages which avoid the Liar. For example, the language which consists of the single sentence ?Benedict XVI was born in Germany? lacks the resources to talk about semantics at all and thus avoids the Liar. Similarly, more interesting languages such as the propositional calculus avoid the Liar by lacking the power to express semantic concepts or to quantify over propositions. Kearns also agrees with the dialetheist claim that natural languages are semantically closed (i.e. are able to talk about their sentences and the semantic concepts and distinctions they employ). Without semantic closure, the Liar would be no real problem for us (speakers of natural languages). But given the claim, the expressive power of natural languages may lead to the semantic antinomies. The dialetheist argues for his position by proposing a general hypothesis (cf. Bremer 2005 , pp. 27?28): ?(Dilemma) A linguistic framework that solves some antinomies and is able to express its linguistic resources is confronted with strengthened versions of the antinomies?. Thus, the dialetheist claims that either some semantic concepts used in a supposed solution to a semantic antinomy are inexpressible in the framework used (and so, in view of the claim, violate the aim of being a model of natural language), or else old antinomies are exchanged for new ones. One horn of the dilemma is having inexpressible semantic properties. The other is having strengthened versions of the antinomies, once all semantic properties used are expressible. This dilemma applies, I claim, to Kearns' approach as well

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.