Philosophy Dictionary of Arguments

Home Screenshot Tabelle Begriffe

 
Logic: logic is the doctrine of the admissibility or inadmissibility of relations between statements and thus the validity of the compositions of these statements. In particular, the question is whether conclusions can be obtained from certain presuppositions such as premises or antecedents. Logical formulas are not interpreted at first. Only the interpretation, i. e. the insertion of values, e.g. objects instead of the free variables, makes the question of their truth meaningful.
_____________
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 Concept Summary/Quotes Sources

Gottlob Frege on Logic - Dictionary of Arguments

II 49
Grammar/Logic: subject/predicate are always a thought without a truth value, there is no extension. >Subject
, >Predicate, >Extension.
- - -
Tugendhat II 54
Hegel: logic is composed of concepts. FregeVsHegel: logic is not composed of concepts, but of sentences. Important: not objects can be negated, but only sentences.
>Concept, >Object, >Sentence, >Negation.
- - -
Thiel I 335
Logic/Frege/Thiel: Frege's concept of logic, on which he wanted to trace back the entire non-geometric mathematics, was a more broadly formulated one than that of today.
For Frege, the formation of sets is a logical process, so that the transition from the statement that exactly the same objects fall under two terms A and B to the statement of equality of the conceptual scopes of A and B is a law of logic for Frege.
I 335/336
Today's view: conceptual scopes are nothing more than sets, therefore the law does not belong to logic, but to set theory. >Term scope.
In traditional logic, the doctrine of conceptual extents was part of logic. Today it is part of set theory, while the doctrine of "conceptual content" remains in logic. That is rather weird.

_____________
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. Translations: Dictionary of Arguments
The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition.

F I
G. Frege
Die Grundlagen der Arithmetik Stuttgart 1987

F II
G. Frege
Funktion, Begriff, Bedeutung Göttingen 1994

F IV
G. Frege
Logische Untersuchungen Göttingen 1993

Tu I
E. Tugendhat
Vorlesungen zur Einführung in die Sprachanalytische Philosophie Frankfurt 1976

Tu II
E. Tugendhat
Philosophische Aufsätze Frankfurt 1992

T I
Chr. Thiel
Philosophie und Mathematik Darmstadt 1995


Send Link
> Counter arguments against Frege
> Counter arguments in relation to Logic

Authors A   B   C   D   E   F   G   H   I   J   K   L   M   N   O   P   Q   R   S   T   U   V   W   Y   Z  


Concepts A   B   C   D   E   F   G   H   I   J   K   L   M   N   O   P   Q   R   S   T   U   V   W   Z  



Ed. Martin Schulz, access date 2024-04-19
Legal Notice   Contact   Data protection declaration