Sunday, November 21, 2010

Daily Random Flickr Blogging, #4555

"Why, then, are arithmetic and geometry a priori, independent of experience, yet also applicable to experience, as is obvious in engineering, surveying, accounting, and so on? Kant's supposition that space and time are a priori forms of intuition that the mind brings to experience provides an intriguing answer to this question. Arithmetic, Kant suggests, is grounded in the a priori intuition of time. Thus: moment moment moment moment = 4. Geometry, meanwhile, is grounded in the a priori intuition of space: whatever appears to us must appear in the three Euclidean dimensions because this a priori shaping is built in to how the mind perceives. This explains how arithmetical and geometrical truths can be certain a priori yet also apply to the world of experience."



*honk honk*

(Image originally uploaded by Loadhan; Random Flickr Blogging originally invented by Tom Hilton.)


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