Inclusion (logic)

In logic and mathematics, inclusion is the concept that all the contents of one object are also contained within a second object.[1]

The modern symbol for inclusion first appears in Gergonne (1816), who defines it as one idea 'containing' or being 'contained' by another, using the backward letter 'C' to express this. Peirce articulated this clearly in 1870, arguing also that inclusion was a wider concept than equality, and hence a logically simpler one.[2] Schröder (also Frege) calls the same concept 'subordination'.[3]

References

  1. ↑ Quine, W. V. (December 1937). "Logic based on inclusion and abstraction". The Journal of Symbolic Logic. 2 (4). pp. 145–152. doi:10.2307/2268279.
  2. ↑ "Descr. of a notation", CP III 28.
  3. ↑ Vorlesungen I., 127.
This article is issued from Wikipedia - version of the 5/18/2014. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.