Cursive means refers to a 'running' hand in calligraphic lettering, where all of the characters are connected and flow together. Traditionally this differentiates it from Uncial lettering which consists of distinct characters. Script means any type which is designed to resemble handwriting. Italic refers to the slanted style of type introduced by Aldus Manutius in the 17th century and in general to any slanted or skewed font. So, if a font is slanted it's italic, if the characters are connected it's cursive, and if it does so in a way which simulates handwriting, it is script.