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): 351
Code: ISBN 978-88-7699-014-4

Book Sections
Azzouni, Jody (2005) Is there still a Sense in which Mathematics can have Foundations? In: Essays on the Foundations of Mathematics and Logic. Advanced Studies in Mathematics and Logic, 1. Polimetrica Publisher, Italy, pp. 9-47.

Bazhanov, Valentin A. (2005) Logic and Ideologized Science Phenomenon (Case of the USSR). In: Essays on the Foundations of Mathematics and Logic. Advanced Studies in Mathematics and Logic, 1. Polimetrica Publisher, Italy, pp. 49-55.

Drago, Antonino (2005) A.N. Kolmorogoff and the Relevance of the Double Negation Law in Science. In: Essays on the Foundations of Mathematics and Logic. Advanced Studies in Mathematics and Logic, 1. Polimetrica Publisher, Italy, pp. 57-81.

Drossos, Costas A. (2005) Structures, Points and Levels of Reality. In: Essays on the Foundations of Mathematics and Logic. Advanced Studies in Mathematics and Logic, 1. Polimetrica Publisher, Italy, pp. 83-144.

Duzi, Marie and Materna, Pavel (2005) Logical Form. In: Essays on the Foundations of Mathematics and Logic. Advanced Studies in Mathematics and Logic, 1. Polimetrica Publisher, Italy, pp. 115-153.

Hersh, Reuben (2005) Wings, not Foundations! In: Essays on the Foundations of Mathematics and Logic. Advanced Studies in Mathematics and Logic, 1. Polimetrica Publisher, Italy, pp. 155-164.

Mateus, Paulo and Sernadas, Amílcar and Sernadas, Cristina (2005) Exogenous Semantics Approach to Enriching Logics. In: Essays on the Foundations of Mathematics and Logic. Advanced Studies in Mathematics and Logic, 1. Polimetrica Publisher, Italy, pp. 165-194.

McCarthy, Timothy (2005) Incompleteness and Paradox. In: Essays on the Foundations of Mathematics and Logic. Advanced Studies in Mathematics and Logic, 1. Polimetrica Publisher, Italy, pp. 195-208.

Pollard, Stephen (2005) Property is Prior to Set: Fichte and Weyl. In: Essays on the Foundations of Mathematics and Logic. Advanced Studies in Mathematics and Logic, 1. Polimetrica Publisher, Italy, pp. 209-226.

Rodríguez-Consuegra, Francisco (2005) Tarski's Intuitive Notion of Set. In: Essays on the Foundations of Mathematics and Logic. Advanced Studies in Mathematics and Logic, 1. Polimetrica Publisher, Italy, pp. 227-266.

Van Kerkhove, Bart (2005) Aspects of Informal Mathematics. In: Essays on the Foundations of Mathematics and Logic. Advanced Studies in Mathematics and Logic, 1. Polimetrica Publisher, Italy, pp. 267-351.