Philosophy Dictionary of Arguments

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Axiom: principle or rule for linking elements of a theory that is not proven within the theory. It is assumed that axioms are true and evident. Adding or eliminating axioms turns a system into another system. Accordingly, more or less statements can be constructed or derived in the new system. See also axiom systems, systems, strength of theories, proofs, provability.
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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 Concept Summary/Quotes Sources

G.W. Leibniz on Axioms - Dictionary of Arguments

Holz I 54
Def Axiom/Leibniz: the true and unprovable identical propositions A = A.
I 76
Order/structure/world/Leibniz: the assumption of an invariable lawfulness of the material world presents us with the task of a priori establishing the being of nature as a whole before a single natural being.
The whole must be certain before the formulation of its partial course rules, so that the intelligibility of the individual is guaranteed.
Thus the axiom "Only one being is necessary" gains its importance.
>Necessity/Leibniz
, >Order/Leibniz.
I 77
Axiom: Variety principle: "I perceive different things" (varia a me percipiuntur). This is undoubtedly by direct intuition. This is not provable as empiricism, but it is also not a burden of proof, since it is directly given.

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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. 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.

Lei II
G. W. Leibniz
Philosophical Texts (Oxford Philosophical Texts) Oxford 1998

Holz I
Hans Heinz Holz
Leibniz Frankfurt 1992

Holz II
Hans Heinz Holz
Descartes Frankfurt/M. 1994


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Ed. Martin Schulz, access date 2024-04-27
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