Three Universal Relations ∗

نویسنده

  • David McAllester
چکیده

This paper explores universal relations, i.e., meta-mathematical concepts that mathematicians seem to employ in all domains of mathematical reasoning. This paper presents precise mathematical definitions for three universal relations: isomorphism (type identity), essential property , and isoonticity . Although no formal explanation is given as to how universal relations expedite mathematical reasoning, some intuitive arguments are presented as to why these relations, and iso-onticity in particular, seem so useful in mathematics.

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تاریخ انتشار 2015