Aspirin in low dosages has been proven to help prevent blood clots and thus help prevent heart attacks. The best advice I have read is in this thread, consult you doctor.
I have had many patients tell me that they stopped taking their aspirin (and other meds) because they still had a heart attack... "that stuff doesn't work!"... Of course, the 3 packs of smokes a day, the 20,000 calorie a day diet and the daily TV watching marathons that cause their 3rd and 4th trip to the cath lab.
If you are worried about your heart and health... eat right, exersice and listen to your doc (given you have a good one).
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"Trust in God --and press-check. You cannot ignore danger and call it faith." -Duke