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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

truth tables for connectives
connective/operator symbols
working out compound truth values - logic equations
logic and probability

examples: tautology
contradiction
contingency
logic and programming computers end notes


how to teach a person number, arithmetic, mathematics			on teaching reading
introduction counting and addition subtraction & more counting multiplication division writing down sums simultaneous equations, with model answers quadratic equations, with model answers	prime numbers and factors, the sieve of Eratosthenes fractions, decimals and percentages 1 fractions, decimals and percentages 2 'equality' or 'same as' equality and equations understanding graphs and charts on statistics : calculating moving averages writing down stats - using the standard normal distribution table	abelard's maths educational counter minus and zero, dealing with no-thing and less than nothing! understanding, calculating and changing bases understanding sets and set logic writing down sets and set logic equations orders of magnitude, indices (powers) and logarithms writing down logarithms	how to teach a child to read using phonics a phonics chart for British English reading test and related information book reading lists lucy on paper

Reality, laying the foundations for sound education Aristotle’s logic - why aristotelian logic does not work	Citizenship curriculum Feedback and crowding	Franchise by examination, education and intelligence Introduction to franchise discussion documents	Power, ownership and freedom The logic of ethics

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 (& • )
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 )
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

truth table [implies]
a	b	a 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

truth table [equivalence]
a	b	a 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]