Philosophy Dictionary of ArgumentsHome
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| Deduction: necessary conclusion from the given premises. From the general to the particular. - In contrast, induction from special cases to the general._____________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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Christian Thiel on Deduction - Dictionary of Arguments
I 84 Deduction/Thiel: Ancient mathematics knew no deduction at all, only calculation rules. I 86 Schopenhauer polemicized against deduction, figure I 86 gives more than the Euclidean proof: insight into the matter and inner firm belief of every necessity and of the dependence of that quality on "right angles". >Proofs, >Provability, >Geometry. I 87 ThielVsSchopenhauer: Of course one will have to say that we do not recognize the state of affairs at a glance, but step by step, by mental rearranging. The figure itself also has generality, but not one that is detached or detachable from the figure, at most one that can be transferred to related figures, namely those constructed according to the same "principle". >Generalization, >Generality. >Principles. I 91 Apodeixis: "the necessary evidence" but also "representation". The Greeks had a method of "psephoi", the numerical figures layed with small stones. The joke is that the construction of the figure is independent of the number of stones. You do not need an induction conclusion. >Presentation, >Ancient Philosophy._____________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. |
T I Chr. Thiel Philosophie und Mathematik Darmstadt 1995 |
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Ed. Martin Schulz, access date 2024-04-19