3 ms·
> no definitions, "We take mathematical structure to mean the identification of general properties which are instantiated in particular situations as relations
by gohrt 12y ago
> no definitions,
"We take mathematical structure to mean the identification of general properties which are instantiated in particular situations as relationships between elements or subsets of elements of a set."
In case you missed it (it's the first sentence of the abstract), it's also repeated as the first sentence of the paper.
Compare to, say, a paper published by a well-respected famous mathematician:
https://www.renyi.hu/~p_erdos/1989-39.pdf https://www.renyi.hu/~p_erdos/1989-39.pdf
- marktangotango 12y agoI qualify that as 'hand wavy' because none of properties, instantions, or situations are defined, and/or are not well known mathematical concepts as elements and sets are.