Philosophy Dictionary of ArgumentsHome | |||
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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._____________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 |
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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._____________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 |