Philosophy Dictionary of Arguments

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2nd order Logic: Predicate logic of the 2nd order goes beyond predicate logic of the 1st level allowing quantification over properties and relations, and not just objects. Thus comparisons of the powerfulness of sets become possible. Problems which are expressed in everyday terms with terms such as "greater", "between", etc., and e.g. the specification of all the properties of an object require predicate logic of the 2nd order. Since the 2nd level logic is not complete (because there are, for example, an infinite number of properties of properties), one often tries to get on with the logic of the 1st order.

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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 Summary Meta data
Hintikka I 124
2nd order Logic/HOL/Frege/Wittgenstein/Hintikka: higher order quantifiers are acceptable to both without the lowest hesitation.


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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.
The note [Author1]Vs[Author2] or [Author]Vs[term] is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition.

W II
L. Wittgenstein
Wittgenstein’s Lectures 1930-32, from the notes of John King and Desmond Lee, Oxford 1980
German Edition:
Vorlesungen 1930-35 Frankfurt 1989

W III
L. Wittgenstein
The Blue and Brown Books (BB), Oxford 1958
German Edition:
Das Blaue Buch - Eine Philosophische Betrachtung Frankfurt 1984

W IV
L. Wittgenstein
Tractatus Logico-Philosophicus (TLP), 1922, C.K. Ogden (trans.), London: Routledge & Kegan Paul. Originally published as “Logisch-Philosophische Abhandlung”, in Annalen der Naturphilosophische, XIV (3/4), 1921.
German Edition:
Tractatus logico-philosophicus Frankfurt/M 1960

Hintikka I
Jaakko Hintikka
Merrill B. Hintikka
Investigating Wittgenstein
German Edition:
Untersuchungen zu Wittgenstein Frankfurt 1996

Hintikka II
Jaakko Hintikka
Merrill B. Hintikka
The Logic of Epistemology and the Epistemology of Logic Dordrecht 1989


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Ed. Martin Schulz, access date 2019-10-20
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