Just read a textbook....or the Bible. All talks about Caesar.
Actually, the correct sentence is the following one "You are much more logical than I".
Think about it as if it was a short version of the sentence
"You are much more logical than I am".: here you couldn't say
"You are much more logical than me am". that's why you also should not say it in the shorter version.
It forms an adjective. Danger by itself is a noun, if you add the suffix -ous, it makes it an adjective (A dangerous man). The adverb would be if you added -ous + -ly, and make it - dangerously (He drives dangerously). There is no verb "danger" or using any of its derivatives, the only way to make a verb out of danger is to add a prefix -en, and make it - endanger.
<span>When the Mongols took over a place, they normally did not change their way of life. Their main goal was to conquer land. They had great religious tolerance, but they didn't know how to really control a government. Though when they took over China, which was divided into three states (Tanggut, Jin, & Song) they united these states. The merchant economy flourished. Technology also continued to advance.</span>