Lexicon of Arguments

Philosophical and Scientific Issues in Dispute
 
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Friedrich Waismann Suchen und Finden in der Mathematik 1938 in Kursbuch 8 Mathematik 1967

89
Aspect/Waismann: The fact that an aspect is possible can only be seen when it is there. You can simply underline the newly discovered, so you give a new sign.

The formulas with the underlinings do something different than those without underlining, they make the new structure visible.
>Formulas.
For example, suppose there is a tribe of people who owns our decimal system, and calculates exactly as we do, but infinite decimal fractions remain unknown to them. People stop the division, e.g. at the 5th place.
1/3 = 0.333333.

90
The periodicity would not be noticeable to them, they would not have to think that this always goes on like this.

After the discovery of the infinite decimal fractions one "sees" the calculation differently! This is the discovery that one sees the infinite possibility of progression into the calculation.
>Discoveries.

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