thank you i have to my knowledge never disallowed or dismissed the technical mathematical validity of anything on this talk page only its direct relevance to the issue of physical movement aka the problems posed by zeno of elea by all means fiddle with your slide rules and come to whatever conclusions you like but prove that calculus actually correlates with what you say it does in relation to physical movement through all scales of movement if you can't prove it the 'high accuracy' qualifier remains the most scientifically credible and testable