Sentence:  We note that two such curves C and **f , cannot coincide at more than a finite number of points ; otherwise , being analytic , they would coincide at <WSD>all</WSD> points , which is impossible since they do not coincide near **f . 
Meaning of the word marked with <WSD> tags:  quantifier; used with either mass or count nouns to indicate the whole number or amount of or every one of a class