Philosophy Dictionary of ArgumentsHome
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| Knowledge: Knowledge is the awareness or understanding of something. It can be acquired through experience, or education. Knowledge can be factual, procedural, or conceptual. See also Propositional knowledge, Knowledge how._____________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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Christian Thiel on Knowledge - Dictionary of Arguments
I 276 Knowledge/Geometry/Mathematics/Thiel: the classical derivation, e.g. of the Thales Theorem, is based on intuition. (Of course not the measurement of things of the body world.) We conclude and even calculate a bit. Of course, this is not an axiomatic procedure. >Conclusions, >Proof, >Derivation, >Derivability. Where does the insight come from that a certain geometric theorem is correct? I 276/277 Knowledge/Thiel: knowledge about the sum of angles in the triangle comes from the knowledge that when two parallel lines are intersected by a third line, the resulting Z angles (alternating angles) are equal. But how do we know that the Z angles are equal? It is shown in a figure. According to the parallel postulate of Euclid. Also counterfactual assumptions, which are refuted. >Axioms, >Counterfactuals._____________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. |
T I Chr. Thiel Philosophie und Mathematik Darmstadt 1995 |
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Ed. Martin Schulz, access date 2024-04-19