Category Archives: Essays on the Theory of Numbers

Modified Dedekind Closure approach

The following is a sort of way to start this, but requires something else. ==Starting from here a possible approach to critique Consider the set of naturals that has i and j in it, that contains the successor of each … Continue reading

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#mtt2k Khan Academy videos procedural v conceptual v structural

Procedural v conceptual is highly ambiguous on the conceptual fork and even somewhat ambiguous on procedural.   If procedural is the same as recursive math or constructive math or computable math, then procedural covers most of the subject matter of algebra … Continue reading

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David Joyce Notes on Richard Dedekind’s “Was sind und was sollen die Zahlen?”

Professor David E. Joyce of Clark University has written up a very valuable set of notes on Richard Dedekind’s book, “Was sind und was sollen die Zahlen?”  (What are and should be the numbers?) (Zahlen is capitalized in German because … Continue reading

Posted in David E. Joyce, Easy Algebra Math Induction Proofs, Essays on the Theory of Numbers, Joyce Notes on Dedekind Nature of Numbers, Richard Dedekind, The Nature and Meaning of Numbers, Uncategorized, Wooster Woodruff Beman | Leave a 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