"Most helpful math resources on the web" - via MathOverflow
This is great, here is a list of lots of great online math content.
"Soft analysis, hard analysis, and the finite convergence principle"
Tao's excellent article illustrates the comfort of deductive analysis. (Thanks FredJeffries.)
Why I would refer to it here is because he talks about for example the simple cases about for example that the rational numbers are dense in the real numbers but not having equal properties due their densities as irrationals. Another could follow that there isn't density of inexhaustible monotone condition that has a limit.
Then what's really great is that he actually knows real analysis and explains that.