different between intuitionistic vs intuitionism
intuitionistic
English
Etymology
intuition +? -istic
Adjective
intuitionistic (not comparable)
- (mathematics, logic) Dealing strictly in constructive proofs, abstaining from proof by contradiction
- Intuitionistic type theory is based on a certain analogy or isomorphism between propositions and types: a proposition is identified with the type of its proofs. This identification is usually called the Curry–Howard isomorphism, which was originally formulated for intuitionistic logic and simply typed lambda calculus. Type Theory extends this identification to predicate logic by introducing dependent types, that is types which contain values. Type Theory internalizes the interpretation of intuitionistic logic proposed by Brouwer, Heyting and Kolmogorov, the so called BHK interpretation. The types of Type Theory play a similar role to sets in set theory but functions definable in Type Theory are always computable.WP
- The system, which has come to be known as IZF, or Intuitionistic Zermelo–Fraenkel (ZF refers to ZFC without the axiom of choice), has the usual axioms of extensionality, pairing, union, infinity, separation and power set. The axiom of regularity is stated in the form of an axiom schema of set induction. Also, while Myhill used the axiom schema of replacement in his system, IZF usually stands for the version with collection.WP
Derived terms
- intuitionistically
- intuitionistic logic
Related terms
- intuition
Translations
- Italian: intuizionistico (it)
intuitionistic From the web:
- what is intuitionistic fuzzy sets
- what is intuitionistic logic
- what is intuitionistic fuzzy graph
- what is intuitionistic mathematics
- what does intuitionistic mean
- what is intuitionistic fuzzy numbers
- what is intuitionistic set theory
- what is intuitionistic meaning
intuitionism
English
Etymology
intuition +? -ism
Noun
intuitionism (countable and uncountable, plural intuitionisms)
- (mathematics) An approach to mathematics/logic which avoids proof by contradiction, and which requires that, in order to prove that something exists, one must construct it.
Derived terms
- pre-intuitionism
Related terms
- intuitionist
- intuitionistic
- intuitionistic logic
Coordinate terms
- formalism
- logicism
Translations
intuitionism From the web:
- what is intuitionism in ethics
- what is intuitionism in philosophy
- what does intuitionism mean
- what are intuitionism and ethical non cognitivism
- what is intuitionism in mathematics
- what is intuitionism mean
- what does intuitionism
- what is social intuitionism
Share
Tweet
+1
Share
Pin
Like
Send
Share
you may also like
- intuitionistic vs intuitionism
- intuitionist vs intuitionism
- superlatticed vs superlattice
- exoergic vs exoergicity
- nociceptor vs nociception
- dodecasyllabic vs dodecasyllable
- stertor vs stertorous
- cyan vs cyanotic
- sluttiness vs sluttery
- slutliness vs sluttery
- syncoplanar vs coplanar
- coplanarity vs coplanar
- crasher vs gatecrasher
- crashing vs gatecrasher
- microphysics vs macrophysics
- macrophysical vs macrophysics
- microglobulinemia vs macroglobulinemia
- microclimate vs macroclimate
- plushophile vs plushophilia
- murri vs goori