Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : sans médiation
Auteur(s) : Plato, Jan von (1951-....)
Titre(s) : Elements of logical reasoning [Texte imprimé] / Jan Von Plato
Publication : Cambridge : Cambridge university press, 2013
Description matérielle : 1 vol. (IX-264 p.) ; 26 cm
Comprend : I. First Steps in Logical Reasoning ; Starting points ; Rules of proof ; Natural
deduction ; Proof search ; Classical natural deduction ; Proof search in classical
logic ; The semantics of propositional logic ; II. Logical Reasoning with the Quantifiers
; The quantifiers ; Derivations in predicate logic ; The semantics of predicate
logic ; III. Beyond Pure Logic ; Equality and axiomatic theories ; Elements of
the proof theory of arithmetic ; IV. Complementary Topics ; Normalization and cut
elimination ; Deductive machinery from Aristotle to Heyting.
Note(s) : Bibliogr. p. 258-259
"Some of our earliest experiences of the conclusive force of an argument come from
school mathematics: faced with a mathematical proof, we cannot deny the conclusion
once the premisses have been accepted. Behind such arguments lies a more general pattern
of 'demonstrative arguments' that is studied in the science of logic. Logical reasoning
is applied at all levels, from everyday life to advanced sciences, and a remarkable
level of complexity is achieved in everyday logical reasoning, even if the principles
behind it remain intuitive. Jan von Plato provides an accessible but rigorous introduction
to an important aspect of contemporary logic: its deductive machinery. He shows that
when the forms of logical reasoning are analysed, it turns out that a limited set
of first principles can represent any logical argument. His book will be valuable
for students of logic, mathematics, and computer science"
Sujet(s) : Logique
Mathématiques -- Philosophie
Identifiants, prix et caractéristiques : ISBN 1-107-61077-X. - ISBN 978-1-107-61077-4 (br.)
Identifiant de la notice : ark:/12148/cb43788683v
Notice n° :
FRBNF43788683
(notice reprise d'un réservoir extérieur)