TWO KINDS OF TRUTH. 145 



"The Concrete;' That Abstract Science, as The 

 Mathematics and the Logic of Being, or, otherwise, 

 Exact Science, is SCIENCE pre-eminently, or Science 

 in the ruling sense ; and that Concrete Science or 

 The Natural Sciences are only Scientific in a Secondary 

 and Inferior sense. 



174. Some quarrel arises, however, at this point, be- 

 tween The Mathematics and The Natural Sciences. 

 As Natural Science proceeds upon the minute and 

 careful Observation of Nature, what it perceives 

 and records, must, it is urged, be true although its 

 Facts are confessedly full of deviations, intertwinings 

 and overlappings, which nearly defy classification at 

 all ; and absolutely defy EXACT CLASSIFICATION, such as 

 is illustrated by /Straight Lines, Squares and Cubes, in 

 Geometry. On the other hand, Mathematical prop- 

 ositions, as that Two are Equal to Two, that Two 

 and Two are Four, that a Square has (and must 

 have) four Eight Angles, are not only true, but are 

 peculiarly true, not to the Exterior Senses, but to the 

 Reason ; and even in the sense that it is inconceivable 

 that they should be otherwise. 



175. The Solution is that there are two kinds of 

 Truth; one addressed to the Senses, and one to the 

 Pure Reason. To discuss radically the claims, rank 

 and offices of each of these hemispheres of truth 

 would take us too much aside from the present pur- 

 pose. It must suffice to indicate the issue, as the 

 real issue in the conflict of all past thinking ; and as, 

 again, especially, the rising issue of the hour. The so- 

 called ""Positive Science" now triumphantly dominant 



