- published: 30 Jan 2015
- views: 4810
In logic, a consistent theory is one that does not contain a contradiction. The lack of contradiction can be defined in either semantic or syntactic terms. The semantic definition states that a theory is consistent if and only if it has a model, i.e. there exists an interpretation under which all formulas in the theory are true. This is the sense used in traditional Aristotelian logic, although in contemporary mathematical logic the term satisfiable is used instead. The syntactic definition states that a theory is consistent if and only if there is no formula P such that both P and its negation are provable from the axioms of the theory under its associated deductive system.
If these semantic and syntactic definitions are equivalent for a particular logic, the logic is complete.[clarification needed][citation needed] The completeness of sentential calculus was proved by Paul Bernays in 1918[citation needed] and Emil Post in 1921, while the completeness of predicate calculus was proved by Kurt Gödel in 1930, and consistency proofs for arithmetics restricted with respect to the induction axiom schema were proved by Ackermann (1924), von Neumann (1927) and Herbrand (1931). Stronger logics, such as second-order logic, are not complete.
Actors: Don Yanan (actor), Ryan Fox (actor), Dink O'Neal (actor), Max Shippee (actor), Chris Shearer (actor), Holly Beavon (actress), Carole Balkan (actress), Tatiana Bliss (producer), Brendan Hunt (actor), Marty Laquidara (actor), Marty Laquidara (actor), Suzan Averitt (actress), Oscar Avalos (actor), Tom Patrick (actor), Kyle O. Ingleman (actor),
Genres: Musical,Why must it always be stop and go?
Where in this life can I find constant flow?
Inconsistency on a larger scale
Impersistence forcing me to bail out
Look left look right look left again before you take a giant step
All this side to side takes me out of my groove makes me feel inept
I toe the straight line for one short time
Forget about regrets and doubts that
Make me stop on a dime
I'm a fool for distraction
Can't keep cool throughout my action
Once in a while I find satisfaction
I have too much care beyond my reach
And too much love that I can't preach
What I really need is consistency
Everywhere that I go I don't want to be
Cause I keep telling me "You're missing out, gotta move, gotta break on free"
A modern-day busybacksoon
Kind of figures cause I was born in June
The month of moody, happy feet
The people that no one would like to meet
Of wandering no-clues, but why should I have to choose?
What if what I need is just to believe
Day in day out I find I'm searching for the key
My head and heart are too stubborn to agree
Where it begins must lie within me
I've been so busy finding my way
I'm not content with the roles I've been playing
But something occurred to me just the other day