10 ENGLISH BOOKS RELATING TO «THEORY OF TYPES»
Discover the use of
theory of types in the following bibliographical selection. Books relating to
theory of types and brief extracts from same to provide context of its use in English literature.
1
The Clausal
Theory of Types
We present the Higher-Order Skolem-Herbrand-Gbdel Theorem for a form of
Church's formulation of the Simple Theory of Types [27] called the Clausal
Theory of Types. The Theorem uses Henkin's Completeness Theorem [87] for
validity in ...
2
The
Theory of Logical
Types (Routledge Revivals)
Russell later acknowledged that Ramsey's classification of the paradoxes '...
renders possible a great simplification of the theory of types, which, as it emerges
from Ramsey's discussion, ceases wholly to appear unplausible or artificial or a ...
3
A Modern Perspective on Type
Theory: From its Origins until ...
In this book, we concentrate on the simple theory of types (STT) as envisaged by
Ramsey, 1926 (and also independently by Hilbert and Ackermann) which is a
simplification of the ramified theory of types by removing the orders. In 1940 ...
Fairouz D. Kamareddine, Twan Laan, Rob P. Nederpelt, 2006
4
The Cambridge Companion to Bertrand Russell
I. INTRODUCTION A surprising feature of Russell's work in logic is that he began
and ended with a theory of types. This chapter begins with a summary of the
1903 theory of types and then proceeds to the much more complex ramified
theory ...
5
Kurt Gödel: Essays for his Centennial
Russell's ramified theory of types is a scheme of logical definitions based on
orders and types indexed by the natural numbers. Russell proceeded “
intensionally”; heconceivedthisscheme
asaclassificationofpropositionsbasedonthe notion of ...
Solomon Feferman, Charles Parsons, Stephen G. Simpson, 2010
6
From Frege to Gödel: A Source Book in Mathematical Logic, ...
By December 1905 Russell had abandoned the theory of types. To overcome the
difficulties raised by the paradoxes he then presented (1905a) three theories : (1)
the zigzag theory ("propositional functions determine classes when they are ...
Jean Van Heijenoort, 1977
7
Analytical Psychology: Contemporary Perspectives in Jungian ...
When Jung began to work on the psychological problem that he was attempting
to solve with his theory of types, he had an international reputation as an
investigator of the unconscious. Early on, he had allied himself with the
burgeoning ...
Joseph Cambray, Linda Carter, 2004
8
Introduction to Mathematical Logic, Fourth Edition
In Principia Mathematica (1910-1913), the three-volume work by Alfred North
Whitehead and Bertrand Russell, there is a theory of types that is further
complicated by an additional hierarchy of orders. This hierarchy was introduced
so that the ...
9
Phenomenology and Logic: The Boston College Lectures on ...
theory of types. The other axiom was called the axiom of reducibility: namely,
attributes on any level can be re-expressed in terms of attributes on a lower level.
" This was a way of getting around the difficulty, but the axiom of reducibility
seemed ...
Bernard J. F. Lonergan, Frederick E. Crowe, Philip J. McShane, 2001
10
Twenty Five Years
of Constructive Type
Theory
Our starting point, to which we refer hereafter as type theory, is the formulation of
Martin-Lof 's set theory using the theory of types as a logical framework (Martin-
Lof 1987; Nordstrom etal. 1990). The question that we address is that of the ...
Giovanni Sambin, Jan M. Smith, 1998
