Thank you very much.LCKurtz said:Yes. ##12## is another counterexample as is ##30##. There are many.
Yes, any counterexample will do, as it shows the claimed statement to be false. A true statement cannot, ever, have any counterexamples!ver_mathstats said:Homework Statement
Determine if the statement is true, n is a fixed positive integer.
If n is divisible by 6, then n is divisible by 9.
Homework Equations
The Attempt at a Solution
I know this statement is false because 6 is divisible by 6, however not divisible by 9. I showed a counterexample, is that enough to demonstrate that it is a false statement?
Ray Vickson said:Yes, any counterexample will do, as it shows the claimed statement to be false. A true statement cannot, ever, have any counterexamples!
To determine if a statement is true, you must gather evidence and evaluate it using critical thinking skills. This can include conducting experiments, researching reliable sources, and analyzing data.
The scientific method involves making observations, asking questions, forming a hypothesis, conducting experiments, analyzing data, and drawing conclusions. This process allows for systematic and objective evaluation of statements.
No, a statement cannot be considered true without evidence. Evidence provides support for a statement and allows for a more accurate evaluation of its truthfulness.
Bias can affect the determination of truth by influencing the interpretation and analysis of evidence. It can also lead to cherry-picking evidence that supports a particular viewpoint and ignoring evidence that contradicts it.
There is no definitive way to determine if a statement is true, as it depends on the quality and reliability of the evidence available. However, using the scientific method and critical thinking skills can help in making a more accurate determination of truth.