Well, they taught you wrong. It was common dogma in public education for a time and is, consequently, the older, stodgier belief.
I'll agree that they can often be avoided. I write a lot professionally, and I actually avoid them when possible to prevent stodgy yahoos from complaining, convinced that it's some sort of rule. I only split them when it's an unequivocable improvement.
Here's the modern perspective on splitting infinitives. I doubt you'll agree but that's ok. We can agree to disagree.
Follett, in
Modern American Usage (1966) writes: "The split infinitive has its place in good composition. It should be used when it is expressive and well led up to." Bernstein (1985) argues that, although infinitives should not always be split, they should be split where doing so improves the sentence: "The natural position for a modifier is before the word it modifies. Thus the natural position for an adverb modifying an infinitive should be just …
after the to" (italics added). Bernstein continues: "Curme's contention that the split infinitive is often an improvement … cannot be disputed." Heffernan and Lincoln, in their modern English composition textbook, agree with the above authors. Some sentences, they write, "are weakened by … cumbersome splitting," but in other sentences "an infinitive may be split by a one-word modifier that would be awkward in any other position."
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