Philosophy Lexicon of Arguments

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.
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A. d'Abro Die Kontroversen über das Wesen der Mathematik 1939 in Kursbuch 8 Mathematik 1967

Logic/Hilbert/d'Abro: Arithmetic is, in fact, to be regarded as a part of logic; however, when looking carefully, we see that certain fundamental concepts of arithmetic have already been employed in the formulation of the laws of logic, e.g. the concept of quantity and, in part, of the number.
So we get into a circle. To avoid this, a simultaneous development of logic and arithmetic is required.

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.
d’Abro, A.

> Counter arguments in relation to Logic

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Ed. Martin Schulz, access date 2017-06-29