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Date: 23-12-2021
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A function, or the symbol representing a function, which corresponds to English conjunctions such as "and," "or," "not," etc. that takes one or more truth values as input and returns a single truth value as output. The terms "logical connective" and "propositional connective" (Mendelson 1997, p. 13) are also used. The following table summarizes some common connectives and their notations.
connective | symbol |
AND | ![]() ![]() ![]() ![]() ![]() ![]() |
equivalent | ![]() ![]() ![]() |
implies | ![]() ![]() ![]() |
NAND | ![]() ![]() ![]() |
nonequivalent | ![]() ![]() ![]() |
NOR | ![]() ![]() ![]() |
NOT | ![]() ![]() ![]() ![]() |
OR | ![]() ![]() ![]() ![]() |
XNOR | ![]() ![]() |
XOR | ![]() ![]() |
REFERENCES:
Mendelson, E. Introduction to Mathematical Logic, 4th ed. London: Chapman & Hall, 1997.
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