1. You can't prove an opinion.

2. Technically true, yes...but we're talking things that are smaller than the pixels in your monitor anyway.

3. You'd be hard-pressed to show me a raster image that looks better aliased (unless it's at extremely low resolution). There's no way you can tell me that first Mandelbrot set "looks better" than its' antialiased counterpart (well technically you can, but if you honestly believe that then I'm going to have to discount your credibility in the world of aesthetics).