what do the word logical mathematical mean
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Inspiration is not a mathematical term. It, therefore, means what it does in normal usage.
Mathematical rules refers to several things within mathematics. It could stand for mathematical equations, or formulas. It could also mean mathematical laws.
Yes it is because if you divide 10 by two and 6 by two, you will get three fifths. This is a rather logical mathematical explanation!
Martin Gardner, who wrote for Scientific American. among others: Mathematical Carnival, Mathematical Circus, etc. They had various logical puzzles with explanations given. Gardner had a smooth and erudite style, something like Isaac Asimov in his many science Fact articles- such as in TV guide.