Getting to No

As some might have guessed, the title of this thread is a play on the book title Getting to Yes. Today's NYT has an illustrative little puzzle (How Good Are You at Solving Problems?) that highlights one of the most important tenets of science, carefully exploring all the ways you might be wrong.How many "No's" will you get before deciding you know the answer?--Percy

I lost the page where I entered my guesses, but I had a number of no's. I checked integers, decimals, negative values and constants like pi and e (didn't accept them, only accepts properly formatted numbers). It doesn't have infinite precision - for example, it will give this a no: Given this, now what's the rule? --Percy

Yes. But no matter how many tests we make there's always the possibility of exceptions, e.g., their test could be: In which case the rule would be, "Each number is greater than the one before and the first number cannot be 1.2345."--Percy