more on this theme     |     more from this thinker


Single Idea 14775

[filed under theme 6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure ]

Full Idea

Numbers are merely a system of names devised by men for the purpose of counting.

Gist of Idea

Numbers are just names devised for counting

Source

Charles Sanders Peirce (Scientific Attitude and Fallibilism [1899], II)

Book Ref

Peirce,Charles Sanders: 'Philosophical Writings of Peirce', ed/tr. Buchler,Justus [Dover 1940], p.59


A Reaction

This seems a perfectly plausible view prior to the advent of Cantor, set theory and modern mathematical logic. I suppose the modern reply to this is that Peirce may be right about origin, but that men thereby stumbled on an Aladdin's Cave of riches.


The 8 ideas from 'Scientific Attitude and Fallibilism'

Only imagination can connect phenomena together in a rational way [Peirce]
Numbers are just names devised for counting [Peirce]
That two two-eyed people must have four eyes is a statement about numbers, not a fact [Peirce]
If we decide an idea is inspired, we still can't be sure we have got the idea right [Peirce]
Only reason can establish whether some deliverance of revelation really is inspired [Peirce]
Reasoning is based on statistical induction, so it can't achieve certainty or precision [Peirce]
Innate truths are very uncertain and full of error, so they certainly have exceptions [Peirce]
A truth is hard for us to understand if it rests on nothing but inspiration [Peirce]