|原文名||Augustus De Morgan|
University College School
|学术指导者||John Philips Higman|
Stephen Joseph Perry
他是陶匠兼任瓦片图案设计师威廉 (William De Morgan) 的父亲。
- Ralph A. Raimi. Augustus De Morgan and the Absurdity of Negative Numbers. University of Rochester. 1996年 （英语）.
In his own time he was better known as a newspaper columnist...","'For example, 8-3 is easily understood; 3 can be taken from 8 and the remainder is 5; but 3-8 is an impossibility; it requires you to take from 3 more than there is in 3, which is absurd. If such an expression as 3-8 should be the answer to a problem, it would denote either that there was some absurdity inherent in the problem itself, or in the manner of putting it into an equation. Nevertheless, as such answers will occur, the student must be aware what sort of mistakes give rise to them, and in what manner they affect the process of investigation...'","... that his general idea, as we shall see, is that playing with absurdities like 3-8 AS IF they made sense can be made to lead to correct final conclusions.","'The principle is, that a negative solution indicates that the nature of the answer is the very reverse of that which it was supposed to be in the solution; for example, if the solution supposes a line measured in feet in one direction, a negative answer, such as -c, indicates that c feet must be measured in the opposite direction; if the answer was thought to be a number of days after a certain epoch, the solution shows that it is c days before that epoch; if we supposed that A was to receive a certain number of pounds, it denotes that he is to pay c pounds, and so on.'
- Negative Numbers. University of North Dakota. [2016年1月12日]. （原始内容存档于2016年2月11日） （英语）.
Augustus de Morgan (1806-1871), an English mathematician, thought numbers less than zero were unimaginable.
- Daniel D. Merrill. Augustus De Morgan and the Logic of Relations. : 185–186.
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