 axiomatic method

In logic, the procedure by which an entire science or system of theorems is deduced in accordance with specified rules by logical deduction from certain basic propositions (axioms), which in turn are constructed from a few terms taken as primitive.These terms may be either arbitrarily defined or conceived according to a model in which some intuitive warrant for their truth is felt to exist. The oldest examples of axiomatized systems are Aristotle's syllogistic and Euclidean geometry. Early in the 20th century, Bertrand Russell and Alfred North Whitehead attempted to formalize all of mathematics in an axiomatic manner. Scholars have even subjected the empirical sciences to this method, as in J. H. Woodger's The Axiomatic Method in Biology (1937) and Clark Hull's Principles of Behavior (1943).
* * *
in logic, a procedure by which an entire system (e.g., a science) is generated in accordance with specified rules by logical deduction from certain basic propositions (axioms or postulates), which in turn are constructed from a few terms taken as primitive. These terms and axioms may either be arbitrarily defined and constructed or else be conceived according to a model in which some intuitive warrant for their truth is felt to exist. The oldest examples of axiomatized systems are Aristotle's syllogistic and Euclid's geometry. Early in the 20th century the British philosophers Bertrand Russell (Russell, Bertrand) and Alfred North Whitehead (Whitehead, Alfred North) attempted to formalize all of mathematics in an axiomatic manner. Scholars have even subjected the empirical sciences to this method, as J.H. Woodger has done in The Axiomatic Method in Biology (1937) and Clark Hull (Hull, Clark L.) (for psychology) in Principles of Behaviour (1943). See also axiom.* * *
Universalium. 2010.
Look at other dictionaries:
axiomatic method — aksiominis metodas statusas T sritis fizika atitikmenys: angl. axiomatic method vok. axiomatische Methode, f rus. аксиоматический метод, m pranc. méthode axiomatique, f … Fizikos terminų žodynas
axiomatic method — See axiom … Philosophy dictionary
Axiomatic system — In mathematics, an axiomatic system is any set of axioms from which some or all axioms can be used in conjunction to logically derive theorems. A mathematical theory consists of an axiomatic system and all its derived theorems. An axiomatic… … Wikipedia
axiomatic — by Alberto Toscano A term used to define the operation of contemporary capitalism within the universal history and general semiology proposed by Deleuze and Guattari in A Thousand Plateaus. Originating in the discourse of science and… … The Deleuze dictionary
axiomatic — by Alberto Toscano A term used to define the operation of contemporary capitalism within the universal history and general semiology proposed by Deleuze and Guattari in A Thousand Plateaus. Originating in the discourse of science and… … The Deleuze dictionary
method — methodless, adj. /meth euhd/, n. 1. a procedure, technique, or way of doing something, esp. in accordance with a definite plan: There are three possible methods of repairing this motor. 2. a manner or mode of procedure, esp. an orderly, logical,… … Universalium
Axiomatic design — is a systems design methodology using matrix methods to systematically analyze the transformation of customer needs into functional requirements, design parameters, and process variables. The method gets its name from its use of design principles … Wikipedia
Axiomatic (story collection) — Axiomatic (ISBN 0 7528 1650 0) is a 1995 collection of short science fiction stories by Greg Egan.According to amazon.co.uk, in the Axiomatic stories: Egan delivers shocking body blows to received ideas in thought experiment stories that like… … Wikipedia
Axiomatic product development lifecycle — The Axiomatic Product Development Lifecycle (APDL) model was developed by Bulent Gumus in 2005. This new model is based on the Axiomatic Design method developed by MIT Professor Nam P. Suh (1991); hence it inherits the benefits of applying the… … Wikipedia
Moore method — The Moore method is a deductive manner of instruction used in advanced mathematics courses. It is named after Robert Lee Moore, a famous topologist who first used a stronger version of the method at the University of Pennsylvania when he began… … Wikipedia