Augustus De Morgan, The Differential and Integral Calculus (1836) Advertisement, p.4.
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Experience has convinced me that the proper way of teaching is to bring together that which is simple from all quarters, and, if I may use such a phrase, to draw upon the surface of the subject a proper mean between the line of closest connexion and the line of easiest deduction. This was the method followed by Euclid, who, fortunately for us, never dreamed of a geometry of triangles, as distinguished from a geometry of circles, or a separate application of the arithmetics of addition and subtraction; but made one help out the other as he best could.

— Augustus De Morgan on Deductive reasoning

What It Means

This is a placeholder explanation generated by the low-overhead model. It interprets "Experience has convinced me that the proper way of teaching is to bring together that which is simple from all quarters, and, if I may use such a phrase, to draw upon the surface of the subject a proper mean between the line of closest connexion and the line of easiest deduction. This was the method followed by Euclid, who, fortunately for us, never dreamed of a geometry of triangles, as distinguished from a geometry of circles, or a separate application of the arithmetics of addition and subtraction; but made one help out the other as he best could." in the context of "Augustus De Morgan, The Differential and Integral Calculus (1836) Advertisement, p.4." to mean that wisdom is timeless.

Source: Wikiquote: "Deductive reasoning" (Quotes) The 'What it means' explanation text was generated by Google Gemini Flash (accessed January 18, 2026). https://gemini.google.com/app
Augustus De Morgan

About Augustus De Morgan

Augustus De Morgan (June 27 1806 – March 18 1871) was an Indian-born British mathematician and logician; he was the first professor of mathematics at University College London. He formulated De Morgan's laws and was the first to introduce the term, and make rigorous the idea of mathematical induction. De Morgan crater on the Moon is named after him.