Category Archives: Leonhard Euler

Euler’s Elements of Algebra Gaps in Logic

http://web.mat.bham.ac.uk/C.J.Sangwin/euler/ElementsAlgebra.html Paragraph 19 is where Euler defines the natural numbers as adding one starting from zero. http://web.mat.bham.ac.uk/C.J.Sangwin/euler/ElementsAlgebra.html#tth_sEc1.1 19.   In the same manner, therefore, as positive numbers are incontestably greater than nothing, negative numbers are less than nothing. Now, we obtain positive … Continue reading

Posted in Conceptual v Procedural, Confusing area and rational numbers, Euler 1765 Elements of Algebra, Euler's Fallacies, Euler's Lies | Leave a comment

#mtt2k 2012 math wars procedural v conceptual v object oriented

In programming languages like C++, a class or object has its own data and procedures or methods that use its own data. Natural numbers, signed integers as a sign and a natural number, rational numbers as a pair of signed … Continue reading

Posted in #mtt2k Khan Academy Videos Procedural v Conceptual, Conceptual v Procedural, Confusing area and rational numbers, Khan Academy, Leonhard Euler, Number classes, Object oriented concepts, Procedural Mathematicians, Rational Numbers, Uncategorized | Leave a comment