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Sternwallow wrote
Once you have memorized the multiplication table up to 10 or 12, you no longer have to derive the operations involved in finding the product of 7x5=35, it is "intuitive" in the sense that its mechanism is no longer at the conscious level.
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Only if you live in a void where your 'intuition' is never questioned. Anytime you have to interact with others you will know how to do the basics to back up your position.
The basics will ALWAYS be there.