Views of the Essence of Numbers over the Course of History - Essay Example

Only on StudentShare

Extract of sample
Views of the Essence of Numbers over the Course of History

The second is the idea that mathematics and numbers are simply a way of interpreting and interacting with arbitrarily defined symbols, and that holds their only usefulness (36). The final is the idea of the logicians led by Russel, who claim that mathematics are useful because the universe is structured in a logically coherent way, and mathematics are thus simply an expression of that logic (36). The latter two theories have enough holes in them that they have been considered disproven, so many mathematical philosophers rely on the first, Platonic theory to describe the role of numbers in our universe. This, however, is completely un-provable, and sidesteps around the problem of describing what numbers are without actually explaining anything; if numbers are simply things that exist in another realm, that is not philosophically useful and thus not a very compelling theory. I believe that numbers and mathematics actually need to be explained by a new theory, and that while we currently do not have a completely formulated theory to explain what numbers are and how mathematics work, each of the aforementioned theories has some of the components that a complete theory of mathematics must have. The single biggest problem with the Platonic theory is its lack of utility. ...
Download paper

Summary

Mathematics, despite being part of some of the most fundamental ways we understand our universe such as physics and chemistry, still remains something of a philosophical mystery. This mystery centres on numbers and their place in the world, what they are and why they function the way they do…
Author : andresbaumbach

Related Essays

Descartes "Third Meditaion": Proving the Existence of God
6 pages (1506 words) Essay
Views on Just War
4 pages (1004 words) Essay
Existence Perceive Essence
9 pages (2259 words) Research Paper
God's Existence and Essence Philosophical Theory
5 pages (1255 words) Essay
Karl Marx's Philosophical Views
5 pages (1255 words) Essay
Comparing of World Views
3 pages (753 words) Essay
Utilitarian versus Retributivist Views
6 pages (1506 words) Essay
Philosophers Views on Abortion
5 pages (1255 words) Case Study
The Mechanisms of Representation and the Social Construction of Identities
7 pages (1757 words) Essay
About Euripides Alcestis
2 pages (502 words) Essay
Exam 1
5 pages (1255 words) Term Paper
Work ,Retirement and Economic status
1 pages (251 words) Essay
Got a tricky question? Receive an answer from students like you! Try us!