34 Result(s)

Chapter

How Mathematics Is Rooted in Life

Mathematics is almost always an insider’s affair. But sometimes things happen within the mathematical community that have a relevance, and perhaps also an interest, beyond the tribe itself. The of the 1920s ...

Jens Erik Fenstad in Structures and Algorithms (2018)

Chapter

Mathematics and the Nature of Knowledge—An Introductory Essay

This book is a collection of essays on mathematics and the nature of knowledge. We claim that the mathematical sciences, mathematics, statistics and computing, are almost everywhere. In this introductory essay...

Jens Erik Fenstad in Structures and Algorithms (2018)

Chapter

Tarski, Truth, and Natural Languages

The first part of this chapter traces the history of the relationship between logic and linguistics with particular emphasis on the contributions of the Polish logicians and philosophers of science A. Tarski a...

Jens Erik Fenstad in Structures and Algorithms (2018)

Chapter

Changes of the Knowledge System and Their Implication for the Formative Stage of Scholars: Experiences in the Natural Sciences

In this chapter we review some recent trends in the natural and biomedical sciences related to issues of complexity and , and simulations, with particular reference to , and discuss the impact of these dev...

Jens Erik Fenstad in Structures and Algorithms (2018)

Chapter

Formal Semantics, Geometry, and Mind

Standard theory of grammar postulates the existence of two modules, one being a conceptual module which includes what is often referred to as knowledge of the world, one being a computational module which is c...

Jens Erik Fenstad in Structures and Algorithms (2018)

Chapter

Relationships Between the Social and the Natural Sciences

An integrated science and technology policy is both complex and urgent. We have gradually come to understand that the relationship between science and technology is not neat and linear: it is not the case of f...

Jens Erik Fenstad in Structures and Algorithms (2018)

Chapter

Remarks on the Science and Technology of Language

Language and logic are inseparably intertwined in the European intellectual tradition. It has not always been an easy relationship. There have always been issues of substance whether the two were friends or fo...

Jens Erik Fenstad in Structures and Algorithms (2018)

Chapter

On What There Is—Infinitesimals and the Nature of Numbers

This essay will be divided into three parts. In the first part we discuss the case of infinitesimals seen as a bridge between the discrete and the continuous. This leads in the second part to a discussion of t...

Jens Erik Fenstad in Structures and Algorithms (2018)

Chapter

The Miraculous Left Hand—On Leonardo Da Vinci and the Search for a Common Understanding of Man and Nature

Is a common approach to knowledge about man and nature possible? With Leonardo da Vinci as our starting point we will explore this question. Leonardo was much more than a painter; he was a sharp observer of ma...

Jens Erik Fenstad in Structures and Algorithms (2018)

Chapter and Conference Paper

Computational semantics: Steps towards “intelligent” text processing

Jens Erik Fenstad, Jan Tore Lønning in Natural Language and Logic (1990)

Chapter and Conference Paper

Natural language systems

Jens Erik Fenstad in Advanced Topics in Artificial Intelligence (1988)

Chapter

Introduction

In this monograph our aim is to give an overall framework for relating the linguistic form of utterances and their semantic interpretation which is based on the idea of constraint propagation. In Chapter II we pr...

Jens Erik Fenstad, Per-Kristian Halvorsen, Tore Langholm… in Situations, Language and Logic (1987)

Chapter

Interpreting Situation Schemata

In Chapter II we have described a map from linguistic form to a set of entities called situation schemata. The map is directed from linguistic form to situation schemata, hence the primacy of the former over the ...

Jens Erik Fenstad, Per-Kristian Halvorsen, Tore Langholm… in Situations, Language and Logic (1987)

Chapter

Conclusions

It is important for any semantic theory with purported relevance for natural language that it be integrated with explicit theories of linguistic form which can provide linguistically adequate analyses for a re...

Jens Erik Fenstad, Per-Kristian Halvorsen, Tore Langholm… in Situations, Language and Logic (1987)

Chapter

From Linguistic Form to Situation Schemata

In this section we connect the description of linguistic form (phonology, morphology and syntax) with situation schemata. We describe the relationship between meaning and linguistic form in terms of constraint...

Jens Erik Fenstad, Per-Kristian Halvorsen, Tore Langholm… in Situations, Language and Logic (1987)

Chapter

A Logical Perspective

In this part of the monograph, we are going to use a hierarchy of logical formal languages to learn more about the preceding semantic enterprise. As was explained in the general introduction, our purpose is no...

Jens Erik Fenstad, Per-Kristian Halvorsen, Tore Langholm… in Situations, Language and Logic (1987)

Article

Is nonstandard analysis relevant for the philosophy of mathematics?

Jens Erik Fenstad in Synthese (1985)

Article

International union of the history and philosophy of science division of logic, methodology and philosophy of science bulletin no. 8

Jens Erik Fenstad in Synthese (1983)