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"This power of repeating or doubling anyidea we have of any distance, and adding it to the former as oftenas we will, without being ever able to come to any stop or stint,let us enlarge it as often as we will, is that which gives usthe idea of immensity" (p. 96.);[Back]
"our idea of infinitybe got from the power to observe in ourselves of repeating withoutend our own ideas" (p. 127.);
"our idea of infinity evenwhen applied to those (expansion and duration - a's note) seemsto be nothing but the infinity of number" (p. 124) ;
"buthow clear soever the idea of the infinity of number be, thereis nothing yet more evident than the absurdity of the actual ideaof an infinite number" (p. 128);
"the idea of infinityof space ... is nothing but the supposed endless progression ofthe mind over the space it pleases; but to have actually in the mind the idea of a space infinite, is to suppose the mind alreadypassed over and to have a view of all those repeated ideas ofspace which an endless repetition can never totally representto it, which carries in it a plain contradiction" (p. 128).
The Limit of the Thing-in-Itself