Discussion Overview
The discussion revolves around the notation (#) used to denote the number of elements in a set, particularly in the context of set theory. Participants explore whether this notation is widely recognized and if it requires explanation in scientific communications.
Discussion Character
- Conceptual clarification
- Debate/contested
Main Points Raised
- Some participants note that (#) is a standard symbol for number, though its use in the specific context described is not commonly seen.
- Alternatives to (#) are proposed, including |N|, ord(), and card(), with suggestions that these might be more appropriate, especially in formal settings.
- One participant expresses a personal opinion that providing a brief explanation of the (#) notation would be beneficial in scientific writing.
- Concerns are raised about the potential confusion caused by the dual use of | in notation, suggesting that clearer alternatives should be used.
- A participant mentions that the (#) notation was found in the works of Paulo Ribenboim, indicating that it may not be universally accepted or recognized in formal contexts.
Areas of Agreement / Disagreement
Participants do not reach a consensus on the acceptance of the (#) notation, with some advocating for its use and others suggesting alternatives. The discussion remains unresolved regarding the necessity of explaining this notation in scientific communications.
Contextual Notes
There are varying opinions on the appropriateness of different notations for cardinality, and the discussion highlights the potential for confusion with existing symbols. The context of usage and audience familiarity with the notation are also considered.