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how to teach your child numbers arithmetic mathematics

writing down sets and set logic equations



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how to teach your child number arithmetic mathematics - writing down sets and set logic equations is part of the series of documents about fundamental education at abelard.org. These pages are a sub-set of sums will set you free
how to teach a person number, arithmetic, mathematics on teaching reading

truth tables for connectives

NOT

state ~ state (¬)   state   ~ state (¬)
True [T] False [F] 1 0
False [F] True [T] 0 1

AND

AND truth tables (&     cap symbol)
state state and state   state state and state
True [T] True [T] True [T]   1 1 1
True [T] False [F] False [F]   1 0 0
False [F] True [T] False [F]   0 1 0
False [F] False [F] False [F]   0 0 0

OR (inclusive OR)

  OR (inclusive OR) truth tables (v   union symbol )
state state or state   state state or state
True [T] True [T] True [T]   1 1 1
True [T] False [F] True [T]   1 0 1
False [F] True [T] True [T]   0 1 1
False [F] False [F] False [F]   0 0 0

XOR (EXCLUSIVE OR)

XOR (exclusive OR) truth tables
state state XOR state   state state XOR state
True [T] True [T] False [F]   1 1 0
True [T] False [F] True [T]   1 0 1
False [F] True [T] True [T]   0 1 1
False [F] False [F] False [F]   0 0 0

implication

implies symbol truth table [implies]
a b a implies symbol b
True [T] True [T] True [T]
True [T] False [F] False [F]
False [F] True [T] True [T]
False [F] False [F] True [T]

equivalence

equivalent symbol truth table [equivalence]
a b a equivalent symbol b
True [T] True [T] True [T]
True [T] False [F] False [F]
False [F] True [T] False [F]
False [F] False [F] True [T]

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