Formal theorem: Difference between revisions

From FasciPedia
Jump to navigation Jump to search
(Created page with "In [philosophy and [science]], '''formal theorem''' is complete if for every statement of the language of the system, either the statement or its negation can be derived (i.e., proved) in the system. A formal system is consistentif there is no statement such that the statement itself and its negation are both derivable in the system. Category:Definitions Category:Philosophy Category:Science")
Β 
No edit summary
Β 
Line 1: Line 1:
In [[[philosophy]] and [science]], '''formal theorem''' is complete if for every statement of the language of the system, either the statement or its negation can be derived (i.e., proved) in the system. A formal system is consistentif there is no statement such that the statement itself and its negation are both derivable in the system.
In [[philosophy]] and [[science]], '''formal theorem''' is complete if for every statement of the language of the system, either the statement or its negation can be derived (i.e., proved) in the system. A formal system is consistentif there is no statement such that the statement itself and its negation are both derivable in the system.


[[Category:Definitions]]
[[Category:Definitions]]
[[Category:Philosophy]]
[[Category:Philosophy]]
[[Category:Science]]
[[Category:Science]]

Latest revision as of 09:48, 9 May 2023

In philosophy and science, formal theorem is complete if for every statement of the language of the system, either the statement or its negation can be derived (i.e., proved) in the system. A formal system is consistentif there is no statement such that the statement itself and its negation are both derivable in the system.