Theory of Types

GPTKB entity

Statements (62)
Predicate Object
gptkbp:instance_of gptkb:physicist
gptkbp:bfsLayer 5
gptkbp:bfsParent gptkb:Daniel_Russell
gptkbp:addresses self-referential statements
gptkbp:aims_to paradoxes in set theory
gptkbp:applies_to gptkb:Mathematician
formal verification
proof theory
gptkbp:developed_by gptkb:Bertrand_Russell
the early 20th century
the context of logic
gptkbp:examines computational linguistics
philosophical discussions
the philosophy of mathematics
mathematical philosophy
gptkbp:has_programs gptkb:philosopher
https://www.w3.org/2000/01/rdf-schema#label Theory of Types
gptkbp:influenced_by Frege's work
gptkbp:introduced 1908
gptkbp:is_a formal system
gptkbp:is_associated_with gptkb:Russell's_Paradox
type safety
Russell's type hierarchy
gptkbp:is_connected_to axiomatic set theory
constructive logic
gptkbp:is_considered a significant advancement
a foundational concept
a foundational theory
a solution to paradoxes
gptkbp:is_criticized_for gptkb:Wittgenstein
its complexity
its limitations
gptkbp:is_discussed_in gptkb:collection
mathematical foundations
philosophical logic
gptkbp:is_explored_in gptkb:philosopher
computational theory
mathematical logic
philosophical inquiry
type theory research
gptkbp:is_fundamental_to type systems
gptkbp:is_influential_in theoretical computer science
category theory
the development of programming languages
the development of type theory.
gptkbp:is_part_of foundations of mathematics
logical positivism
the philosophy of language
the study of semantics
gptkbp:is_reflected_in modern type theories
gptkbp:is_related_to gptkb:philosopher
gptkb:constructive_mathematics
gptkb:typeface
lambda calculus
proof assistants
gptkbp:is_used_in gptkb:computer_science
type-safe programming
gptkbp:is_used_to define functions
avoid inconsistencies
structure knowledge
gptkbp:provides a hierarchy of types
gptkbp:related_to gptkb:philosopher