Abstract
Advanced Studies in Mathematics and Logic is a book series related to the foundations of mathematics and logic. Each volume contains papers, short monographs and other documents connected to the following questions: i) What were, what are and what could be the meanings of the term "mathematics"? ii) What were, what are and what could be the meanings of the term "logic"? iii) What were, what are and what could be the goals of mathematics? iv) What were, what are and what could be the goals of logic? v) What were, what are and what could be the different kinds of logico-mathematical branches? vi) What were, what are and what could be the applications of mathematics to other scientific domains? vii) What were, what are and what could be the applications of logic to other scientific domains? viii) How were, how are and how could be constructed the multiple types of logico-mathematical tools (e.g. models/systems/languages and, more in general, structures) for working scientists? ix) What was, what is and what could be the role of mathematics in the different kinds of cultures, societies and economies? x) What was, what is and what could be the role of logic in the different kinds of cultures, societies and economies? xi) How to teach mathematics and logic in different contexts, at different degrees, for different purposes? This series aims to publish volumes which propose an open and continuous discussion about the possible identities of mathematics and logic, directing the research perspectives towards the future (what could be ...), not forgetting the present (what is ...) and the past roots (what was ...): the frameworks of knowledge are made up through plural histories, localized in different cultural, social and economical backgrounds and developed in relation to different needs, equally important and considerable. To be published a work must be structured, correct, clear and well written. Authors are encouraged to cooperate with other working scientists and with people and organizations interested to develop, to promote and to benefit the obtained results.

Information
Type: Collection
Language(s): English
Year: 2005
Project: Advanced Studies in Mathematics and Logic
Number of page(s): 122
Code: ISBN 978-88-7699-021-2

Book Sections
Beeson, Michael (2005) Aspects of Informal MathematicsConstructivity, Computability, and the Continuum. In: Essays on the Foundations of Mathematics and Logic. Advanced Studies in Mathematics and Logic, 2. Polimetrica Publisher, Italy, pp. 9-37.

Heather, Michael and Rossiter, Nick (2005) Logical Monism: The Global Identity of Applicable Logic. In: Essays on the Foundations of Mathematics and Logic. Advanced Studies in Mathematics and Logic, 2. Polimetrica Publisher, Italy, pp. 39-52.

Marcos, João (2005) On a Problem of da Costa. In: Essays on the Foundations of Mathematics and Logic. Advanced Studies in Mathematics and Logic, 2. Polimetrica Publisher, Italy, pp. 53-69.

Oliveri, Gianluigi (2005) Some arguments against Field on the Indispensability Thesis. In: Essays on the Foundations of Mathematics and Logic. Advanced Studies in Mathematics and Logic, 2. Polimetrica Publisher, Italy, pp. 71-83.

Pincock, Christopher (2005) Conditions on the Use of the One-dimensional Heat Equation. In: Essays on the Foundations of Mathematics and Logic. Advanced Studies in Mathematics and Logic, 2. Polimetrica Publisher, Italy, pp. 85-97.

Sarukkai, Sundar (2005) The Use of Symbols in Mathematics and Logic. In: Essays on the Foundations of Mathematics and Logic. Advanced Studies in Mathematics and Logic, 2. Polimetrica Publisher, Italy, pp. 99-120.