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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 ]
Related theories on integration in the subsequent decades have been termed community integration, self-determination or empowerment theory, support and empowerment paradigms, community building, functional-competency, family support, often not independent living (supportive living), and in 2015, the principle of inclusion which also has roots ...
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In proving results in combinatorics several useful combinatorial rules or combinatorial principles are commonly recognized and used. The rule of sum, rule of product, and inclusion–exclusion principle are often used for enumerative purposes. Bijective proofs are utilized to demonstrate that two sets have the same number of elements.
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