Economics Dictionary of ArgumentsHome![]() | |||
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Discoveries: A discovery is the act of finding or learning something for the first time. It can be something new and unknown, or it can be something that was previously known but has been forgotten or lost. In contrast to this, an Invention is the act of creating something new for the first time. See also Science, Progress Knowledge, Learning, Method, Creativity._____________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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Friedrich Waismann on Discoveries - Dictionary of Arguments
Friedrich Waismann Suchen und Finden in der Mathematik 1938 in Kursbuch 8 Mathematik 1967 87 Is every discovery the result of a search? It seemed absurd to say: 88 For example, "Descartes had for a long time the intention of discovering analytical geometry." E.g. to discover the pathogen of malaria is however something, which one can try a long time. Again the question: how can one discover something, after which one has not searched? Sheffer, for example, discovered the possibility of constructing negation and disjunction with a single basic concept, the one of incompatibility. >Sheffer stroke. He has then discovered a new system, more precisely, he has looked into a new structure in the old system. His view is crucial: as long as he does not see the system, he does not have it. Frege would not have it for example, if he had accidentally written in the form of the new system. Von Sheffer, on the other hand, would also be said to have discovered the new system if he had not introduced a new own sign. (Scheffer stroke: instead of "~ (...) v ~ (...).)_____________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. |
Waismann I F. Waismann Einführung in das mathematische Denken Darmstadt 1996 Waismann II F. Waismann Logik, Sprache, Philosophie Stuttgart 1976 |