Lexicon of Arguments

Philosophical and Scientific Issues in Dispute
 
[german]


Complaints - Corrections

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Sc. Camps
Theses I
Theses II

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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.

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