Art of Problem Solving

Logic: Difference between revisions

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For example, both <math>p\to q</math> and <math>p \subset q</math> mean that p ''implies'' q, or "If ''p'', then ''q''."
For example, both <math>p\to q</math> and <math>p \subset q</math> mean that p ''implies'' q, or "If ''p'', then ''q''."
Note that this can be also written <math>p \cup ~q</math>, or "''p'' or not ''q''".
Note that this can be also written <math>p \cup \neg q</math>, or "''p'' or not ''q''".
 
==See Also==
==See Also==
*[[Dual]]
*[[Dual]]

Revision as of 10:04, 21 April 2008

Logic is the systematic use of symbolic and mathematical techniques to determine the forms of valid deductive or inductive argument. it is sometimes considered a branch of abstract algebra.

Logical Notation

Main article: Logical notation

Logical notation is a special syntax that is shorthand for logical statements.

For example, both $p\to q$ and $p \subset q$ mean that p implies q, or "If p, then q." Note that this can be also written $p \cup \neg q$, or "p or not q".

See Also

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