Difference between revisions of "Logic"

(Logical Notation)
Line 1: Line 1:
'''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]].
+
'''Logic''' is the systematic use of symbolic and mathematical techniques to determine the forms of valid deductive or inductive argument.  
  
 
==Logical Notation==
 
==Logical Notation==
Line 6: Line 6:
 
'''Logical notation''' is a special syntax that is shorthand for logical statements.
 
'''Logical notation''' is a special syntax that is shorthand for logical statements.
  
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 <math>p</math> ''implies'' <math>q</math>, or "If <math>p</math>, then <math>q</math>."
Note that this can be also written <math>p \cup \neg q</math>, or "''p'' or not ''q''".
 
  
 
==See Also==
 
==See Also==
 
*[[Dual]]
 
*[[Dual]]
*[[Abstract algebra]]
 
 
{{stub}}
 
{{stub}}
 
[[Category:Definition]]
 
[[Category:Definition]]
 
[[Category:Logic]]
 
[[Category:Logic]]

Revision as of 11:59, 22 April 2008

Logic is the systematic use of symbolic and mathematical techniques to determine the forms of valid deductive or inductive argument.

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 $q$."

See Also

This article is a stub. Help us out by expanding it.

Invalid username
Login to AoPS