## Dictionary of Arguments | |||

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Numerals: numerals are symbols used to represent numbers. There are different systems of building numerals according to the supply of elementary symbols for the construction of the numerals. Examples are the Roman numerals and the Arabic numerals, but also the binary system, decimal system, hexadecimal system. It is necessary that there are fewer elementary symbols than numbers, as it would otherwise be impossible to learn them and to calculate with them. The properties of the numerical systems influence our numeracy. These properties are not to be confused with the properties of the numbers, which are independent of their representation in numerical form. See also numbers, counting, symbols, names, numeric names, numeric words._____________ 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. | |||

Author | Item | Summary | Meta data |
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I 589 Number expression/numerals/Frege: names of certain objects ("abstraction"). --- I 590 Abstraction/Frege: to explain the use of new expressions by the old expressions. _____________ 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. The note [Author1]Vs[Author2] or [Author]Vs[term] is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition. |
Bra I R. Brandom Making it exlicit. Reasoning, Representing, and Discursive Commitment, Cambridge/MA 1994 German Edition: Expressive Vernunft Frankfurt 2000 Bra II R. Brandom Articulating reasons. An Introduction to Inferentialism, Cambridge/MA 2001 German Edition: Begründen und Begreifen Frankfurt 2001 |

> Counter arguments against **Brandom**

Ed. Martin Schulz, access date 2019-03-20