ANALYTICITY AND IMPLICIT DEFINITION

A New Definition of Hypercomplex Analyticity

Complex analyticity is generalized to hypercomplex functions, quaternion or octonion, in such a manner that it includes the standard complex definition and does not reduce analytic functions to a trivial class. A brief comparison with other definitions is presented. 1991 Mathematics Subject Classifications: 11R52, 30G35, 46S20.

The Implicit Definition of the Set-Concept

Once Hilbert asserted that the axioms of a theory ‘define‘ the primitive concepts of its language ‘implicitly’. Thus when someone inquires about the meaning of the set-concept, the standard response reads that axiomatic set-theory defines it implicitly and that is the end of it. But can we explain this assertion in a manner that meets minimum standards of philosophical scrutiny? Is Jané (2001) ...

Implicit Culture Framework for Behavior Transfer. Definition, Implementation and Applications

People belong to different communities: business communities, Web 2.0 communities, religious communities, scientific communities, just to name a few. Everyone can belong to and acquire experience in more than one community. This experience is related to the community activity and comes in the form of best practices, behavior, implicit (tacit) knowledge, ways of using artifacts, etc. All these a...

How implicit gender stereotypes and attitudes shape self-definition

Disquotational Truth and Analyticity

The uniform reflection principle for the theory of uniform T-sentences is added to PA. The resulting system is justified on the basis of a disquotationalist theory of truth where the provability predicate is conceived as a special kind of analyticity. The system is equivalent to the system ACA of arithmetical comprehension. If the truth predicate is also allowed to occur in the sentences that a...