Lexicon of Arguments

 

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

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Rules/Sense/System/Method/Calculus/Waismann: e.g. suppose, in an arithmetic in which only the multiplication is known, one can ask "Is this number decomposed?", that is, have we carried out a multiplication in which it emerged as a product? On the other hand, we cannot ask: "Is it decomposable?"
>Calculus.
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The other question must be answered only when we go over to the next calculus of the division.
But even here it is not really meaningful to speak of a possibility, but of a rule. To say, we cannot disassemble the number, makes the wrong impression, we would try and then encounter an obstacle.
In reality, we are expanding our system and are not seeing new possibilities, but have new rules.
>Possibility, >Logical possibility.
If one wants, one can continue to search with a circle and a ruler, which is not wrong in itself and is not forbidden by the proof.
It just does not mean anymore what it used to mean.
>Meaning change, >Methods.