To infinity and beyond: trying to figure out number systems

That’s Maths: Construction of set of numbers inspired by conception of physical world

Detail of The School of Athens by Raphael (Raffaello Sanzio), 1509, showing Pythagoras. Photograph: WIki/Creative Commons

Detail of The School of Athens by Raphael (Raffaello Sanzio), 1509, showing Pythagoras. Photograph: WIki/Creative Commons

Is space continuous or discrete? Is it smooth, without gaps or discontinuities, or granular with a limit on how small a distance can be? What about time?

Can time be repeatedly divided into smaller periods without any limit, or is there a shortest interval of time?

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