When people like something more than something else, it's common for me to hear them say they like it better than something else. Is this proper English? I've always thought the word more fits better, but I'm not sure whether or not use of the word better is wrong.
I think that there is a very obvious answer to this question. The opposite of "better" is "worse." The opposite of "more" is "less." So, which of these sentences sounds correct:
I like dogs worse than cats
I like dogs less than cats?
The answer is clearly "I like dogs less than cats." The sentence "I like dogs worse than cats" would be flagged by any native speaker as being incorrect. No one would ever say that. The answer, in my honest opinion, lies in semantics, not grammar.
Think about it deeply; it simply doesn't make sense to say that you like something better. The word "better" tells you something about the worth of something. Whereas the word "Less" tells you something about a quantity (less butter) or about the perceived strength of something (less light). To increase or decrease the force of your 'liking," only two appropriate words are available to you: you like something more, or less. You can't like something better or worse, because these are words that comment on the value of liking, not its intensity.
To say "I like cats better than I like dogs" means, semantically, that your liking for dogs is somehow better than your liking for cats. And it's obvious that that is not what most people intend to say when they use "better" in this context.
What they mean is that their liking for dogs is GREATER than their liking for cats, not that their liking for dogs is in some odd way BETTER than their liking of cats. Dogs may be better than cats, but our liking of dogs can't be better than our liking of cats.
Of course someone might think that it is better to like dogs than it is to like cats. But there are no "better" ways of liking something.
According to the Oxford English Dictionary and to the Cambridge English Dictionary, you can use either expression. I enclose here the relevant sections and examples.
Both dictionaries explain, as mentioned in @StuartF's comment, that "better" can also be used in the sense of "more". Below you see examples like "it is better than three weeks since...". Note that neither dictionary signals this use as archaic.
So you can use whichever you prefer. No one can tell you you're making a mistake.
Both are correct, it is just a question of colloquialism.
Both "more" and "better" can function as either adjective or adverb. The question is which function is being filled in the case of "I like it _." Once we know what part of speech we are using, we can choose the appropriate word to fit our meaning.
If I throw something farther or faster than you, we can say "I throw better than you."
If I throw an object to a greater degree, amount, or constancy than I do the other object, we can say "I throw one object more than I do the other."
So, having said that, in case of:
"I like this sweater more" makes sense; "I like this sweater better" does not. However, this is a question of colloquialism.
So think about it like this:
What is being compared here? How well we like, or what is liked to a greater degree? If the comparison involves how well (as in how adeptly or correctly or skillfully) we like something, then we are comparing our liking that thing vs. somebody else's liking for it, or perhaps to how well (adeptly, correctly, skillfully) we like another item.
Mike can't like Edie better than me.
It's from a native speaker that seems to be right.
Be Careful! Don't use any preposition except to in sentences like these. Don't say, for example 'I prefer art than sports'. Prefer is rather formal. In ordinary conversation, you often use expressions such as like...better and would ratherÉ instead. For example, instead of saying 'I prefer football to tennis', you can say 'I like football better than tennis'. Instead of saying 'I'd prefer an apple', you can say 'I'd rather have an apple'.