Tautologies are always true.
Without seeing the following two statements, one could not say if the two statements mean the same thing. Quantifier sequences are used to specify repetitions of characters in patterns.
A tautology is a needless repetition, such as widow woman, useless politician, or venomous viper.
Statements in which the two sides are not equal are called inequalities.
It consists of two false statements.
No.
protists all share a common set of synapomorphies
Tautologies, such as tiny little
would need to see the two statements; not shown in question.
The two subfields of economics are positive statements and normative statements.
Consistent equations are two or more equations that have the same solution.
Tautologies are always true.
A two-column geometric proof consists of a list of statements, and the reasons that we know those statements are true. The statements are listed in a column on the left, and the reasons for which the statements can be made are listed in the right column.
You have to include the two statements ...
A false statement. or A statement not consistent with arithmetic. or A statement written by someone with no idea about basic mathematics. How's that for starters?
No. Not if it is a true statement. Identities and tautologies cannot have a counterexample.
does it stay the same or not? Actually, a system is inconsistent if you can derive two (or more) statements within the system which are contradictory. Otherwise it is consistent. For example, Eucliadean geometry requires that given a line and a point not on that line, you can have one and only one line through the point which is parallel to the original line. However, you can have a consistent system of geometry if you assume that there is no such parallel line. This is known as the projective plane. You can assume that there will be an infinite number of parallel lines through a point not on the line. And again you can have a consistent system. Consistency or inconsistency has nothing whatsoever to do with time.