After four hear catheritizations in the last year, I'd like to modify your advice.
IF YOU CAN, CHEW THE ASPIRIN UP AND WASH IT DOWN WITH WATER.
It's the fastest way to get it working. I can vouch for basil in saying it probably saved me from heart damage during my multiple problems.
The whole notion of one and no more is more a caution of physcians dreading lawsuits than anything else, since the anti-coagulant function is proportional to the blood volume of your body which is why a baby aspirin may be little more than a placebo.
However, it is well understood that aspirin does cause stomach bleeding; doctors are reluctant to recommend what they themselves know to be the optimum dose.
I take four at a time dissolved in water with 1/4 tsp of baking soda and 6 oz of water to flush (best on a full stomach as a preventive.)
I am not a doctor and I don't even watch T.V. unless you count Andy Griffith and Wheel of Fortune.