Lexicon of Arguments

Philosophical and Scientific Issues in Dispute
 
[german]


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Friedrich Waismann Suchen und Finden in der Mathematik 1938 in Kursbuch 8 Mathematik 1967

76
Construction/Search/Mathematics/Waismann: e.g. false analogy: we are looking for a man with black hair and this and this appearance. In the case of the man, it would be possible to complete the description more and more without leading to a finding of such a man. I would not have the man yet.
In the construction it is so: as long as the construction is not completely described, I cannot be sure if what I am looking for is logically correct, so can be described at all.
The imperfect description leaves out just what would be necessary for something to be sought. It is therefore only an apparant description of the desired.
E.g. Proof of the Goldbach conjecture. p. 76. e.g. the proof of induction has been rediscovered and not just a combination of simpler conclusions.
>Discoveries, >Proofs, >Provability. >Goldbach's Conjecture.
77
To what extent is the search contained in the process of searching?
E.g. North Pole: someone shows a point on the plan, which is the specification of the target.
E.g. When searching the pentagon with a circle and a ruler, the question is: does the term allow for the search or not?
In the case of mathematics the specification of the construction does not allow the search! We can even think of two different terms of construction (a layman concept of the student and a mathematical one).
The space is, in reality, only the one that contains what is sought.

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