Download or read book Dialogues Concerning Natural Numbers written by Charles Sayward and published by Peter Lang. This book was released on 2009 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dialogues Concerning Natural Numbers advances a thesis made several years ago by Rudolph Carnap: The sentence «There are numbers» is a trivial truth if construed as an assertion from within mathematics. As such it cannot possibly divide philosophers of mathematics. It lacks sense if construed as an assertion outside of mathematics. Unfortunately, the truth and importance of Carnap's thesis has not been fully appreciated by philosophers of mathematics. The six dialogues that compose Dialogues Concerning Natural Numbers were formed to bring attention and praise to Carnap's theory.