I’ll try to identify a plant a day, of those strugggling out in my garden. Doing quite well and flowering nicely out front at present is a purple-flowered low-lying thing with many-toothed basal leaves. The flat flower-heads are on long stems. My first idea was that it was a scabiosa, but research in The reader's digest gardeners' encyclopaedia of plants and flowers suggested that they usually had rounded flower heads. However, online research online has confirmed my first guess. It's a variety of scabiosa caucasica, commonly known as pincushion flower, the image obtained from this site.