Though Wallis was advanced for his times and accepted negative numbers, he thought they were larger than infinity but not less than zero. In his Arithmetica Infinitorum (1655), he argued that since the ratio a/0, when a is positive, is infinite, then, when the denominator is changed to a negative number, as in a/b with b negative, the ratio must be greater than infinity.
Morris KlineRelated topics
denominator infinity less number ratio thought times zeroRelated quotes
Although objectively greater demands are placed on this authority, it operates less as a public opinion giving a rational foundation to the exercise of political and social authority, the more it is generated for the purpose of an abstract vote that amounts to no more than an act of acclamation within a public sphere temporarily manufactured for show or manipulation.
Jürgen Habermas
You know that in an atmosphere of uniform density the most distant things seen through it, such as the mountains, in consequence of the great quantity of atmosphere which is between your eye and them, will appear blue. Therfore you should make the building... wall which is more distant less defined and bluer. ...five times as far away make five times as blue.
Leonardo da Vinci
Never has any one been less a priest than Jesus, never a greater enemy of forms, which stifle religion under the pretext of protecting it. By this we are all his disciples and his successors; by this he has laid the eternal foundation-stone of true religion; and if religion is essential to humanity, he has by this deserved the Divine rank the world has accorded him.
Ernest Renan
The apportionment of taxes on the various descriptions of property is an act which seems to require the most exact impartiality; yet there is, perhaps, no legislative act in which greater opportunity and temptation are given to a predominant party to trample on the rules of justice. Every shilling which they overburden the inferior number is a shilling saved to their own pockets.
James Madison
In general, the nightmare quality of Marx's thought gives it, in this bedevilled age, an air of greater reality than the gentle complacency of the orthodox academics. Yet he, at the same time, is more encouraging than they, for he releases hope as well as terror from Pandora's box, while they preach only the gloomy doctrine that all is for the best in the best of all possible worlds.
Joan Robinson