Mathematical Logic of Notions and Concepts

&
Foundations of Science 24 (4):641-655 (2019)
  Copy   BIBTEX

Abstract

In this paper the authors develop a logic of concepts within a mathematical linguistic theory. In the set of concepts defined in a belief system, the order relationship and Boolean algebra of the concepts are considered. This study is designed to obtain a tool, which is the metatheoretical base of this type of theory.

Categories

Keywords

Reprint years

DOI

10.1007/s10699-019-09604-9

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,386

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Mathematical and Empirical Concepts.Pavel Materna - 2012 - In James Maclaurin (ed.), Rationis Defensor.
Mathematical Concepts and Investigative Practice.Dirk Schlimm - 2012 - In Uljana Feest & Friedrich Steinle (eds.), Scientific Concepts and Investigative Practice. de Gruyter. pp. 127-148.
On the Referential Indeterminacy of Logical and Mathematical Concepts.Otávio Bueno - 2005 - Journal of Philosophical Logic 34 (1):65 - 79.
A logical introduction to proof.Daniel W. Cunningham - 2012 - New York: Springer.
Notes on logic and set theory.P. T. Johnstone - 1987 - New York: Cambridge University Press.
Category-Theoretic Realism: A Linguistic Approach to the Philosophy of Mathematics.Elaine Marie Landry - 1998 - Dissertation, The University of Western Ontario (Canada)
Fuzziness of concepts and concepts of fuzziness.Gy Fuhrmann - 1988 - Synthese 75 (3):349 - 372.
How mathematical concepts get their bodies.Andrei Rodin - 2010 - Topoi 29 (1):53-60.
Concepts as hyperintensional objects.Pavel Materna - 2014 - Logic and Logical Philosophy (2):133-170.
Homotopy type theory and the vertical unity of concepts in mathematics.Corfield David - 2017 - In Elizabeth de Freitas, Nathalie Sinclair & Alf Coles (eds.), What is a Mathematical Concept? Cambridge, U.K: Cambridge University Press. pp. 125-142.
Gödel on Concepts.Gabriella Crocco - 2006 - History and Philosophy of Logic 27 (2):171-191.
Second-order logic and foundations of mathematics.Jouko Väänänen - 2001 - Bulletin of Symbolic Logic 7 (4):504-520.
Toward model-theoretic modal logics.Minghui Ma - 2010 - Frontiers of Philosophy in China 5 (2):294-311.
The so-called materially valid inferences and the logic of concepts.Ludger Jansen & Niko Strobach - 2003 - In Foundations of The Formal Sciences II. Applications of Mathematical Logic in Philosophy and Linguistics [Trends in Logic]. Kluwer Academic Publishers. pp. 113-118.
Completions, Constructions, and Corollaries.Thomas Mormann - 2009 - In H. Pulte, G. Hanna & H.-J. Jahnke (eds.), Explanation and Proof in Mathematics: Philosophical and Educational Perspectives. Springer.

Analytics

Added to PP
2019-05-03

Downloads
21 (#720,615)

6 months
8 (#347,798)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Add more citations

References found in this work

The problems of philosophy.Bertrand Russell - 1912 - New York: Barnes & Noble.
The Problems of Philosophy.Bertrand Russell - 1912 - Portland, OR: Home University Library.
The Problems of Philosophy.Bertrand Russell - 1912 - Revue de Métaphysique et de Morale 21 (1):22-28.
The Problems of Philosophy.Theodore de Laguna - 1913 - Philosophical Review 22 (3):329.

View all 12 references / Add more references