Mathematics as sign : writing, imagining, counting
Brian Rotman."Mathematics as Sign addresses both aspects - mental and linguistic - of this machine. Essays explore the status of these signs and the nature of mathematical objects, how mathematical ideograms and diagrams differ from each other and from written words, the probable fate of the real number continuum and calculus in the digital era, the manner in which Platonic and Aristotelean metaphysics are enshrined in the contemporary mathematical infinitude of endless counting, and the possibility of creating a new conception of the sequence of whole numbers based on what the author calls non-Euclidean counting."--BOOK JACKET.
Preface: Writing, Imagining, Counting --
Toward a Semiotics of Mathematics --
Making Marks on Paper --
How Ideal Are the Reals? --
God Tricks; or, Numbers from the Bottom Up? --
Counting on Non-Euclidean Fingers.