Category Archives: Head Segments of Natural Numbers

David Groisser Initial Segments before addition from Peano Axioms

Richard Dedekind in 1888 did order before addition.  Dedekind first did properties of closed sets under a function that is 1 to 1.   Then he applied this to tail sets under successor in effect.  Tail sets are natural numbers from … Continue reading

Posted in David Groisser, David Pierce, Head Segments of Natural Numbers, Initial Segments Groisser Style, Initial Segments of Natural Numbers, MOOC, Order First | 1 Comment

Richard Dedekind Essays on Numbers On-line

The Richard Dedekind book from 1888 that contains New Math in all its original glory is available in English for free. The following was typed into latex and then converted to pdf: http://www.gutenberg.org/files/21016/21016-pdf.pdf The Nature and Meaning of Numbers starts … Continue reading

Posted in Confession of Arithmetic Faith, Essays on the Theory of Numbers, Head Segments of Natural Numbers, Initial Segments of Natural Numbers, New Math Done Right, Number Line, Pair of Number Line Method of Addition, Tails of Natural Numbers, The Nature and Meaning of Numbers, Wooster Woodruff Beman | 1 Comment