Philosophy Lexicon of Arguments

Type theory: The type theory is a restriction of formal systems to a kind of reference which prevents symbols of a level (of a type) from referring to symbols of the same level (the same type). This is intended to avoid paradoxes arising from a self-reference of the signs or expressions used. Original proposals for type theories are given by B. Russell (B. Russell, “Mathematical logic as based on the theory of types”, in American Journal of Mathematics, 30, 1908, pp. 222-262). See also self-reference, circularity, paradoxes, Russell's Paradox, branched type theory.

Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments.

Author Item Excerpt Meta data

Books on Amazon:
Bertrand Russell
Prior I 164
Type Theory / Russell: Variable lowest level: not part of logic- ((s) existence empirical).

Russell I XXIII Type theory / GödelVsRussell: mixed types (individuals with predications about individuals, etc.)obviously do not contradict the circle fault principle

Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution.

B. Russell/A.N. Whitehead
Principia Mathematica Frankfurt 1986

B. Russell
Das ABC der Relativitätstheorie Frankfurt 1989

B. Russell
Probleme der Philosophie Frankfurt 1967

B. Russell
Die Philosophie des logischen Atomismus
Eigennamen, U. Wolf (Hg), Frankfurt 1993

B. Russell
Wahrheit und Falschheit
Wahrheitstheorien, G. Skirbekk (Hg), Frankfurt 1996

Pri I
A. Prior
Objects of thought Oxford 1971

Pri II
Arthur N. Prior
Papers on Time and Tense 2nd Edition Oxford 2003

> Counter arguments against Russell
> Counter arguments in relation to Type Theory

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Ed. Martin Schulz, access date 2017-09-24