Growth of Mathematics Term Paper

Pages: 2 (615 words)  ·  Bibliography Sources: 0  ·  File: .docx  ·  Level: College Senior  ·  Topic: Education - Mathematics

Growth of Mathematics

Mathematics Hard and Soft

Mathematical truth is time-dependent, although it does not depend on the consciousness of any particular live mathematician," (p. 415). In other words, mathematics grows as the body of human knowledge grows; each generation gleans new wisdom from the environment, experimentation, or personal experience and transmits that knowledge to contemporary and future generations either orally or in writing. Noted mathematicians may get their names printed in textbooks or permanently etched on the name of their theorems but the greater body of mathematics grows whether or not momentous discoveries warrant an individual mathematician's fame. One of the primary ways mathematics changes over time is through the transformation of soft sources of information such as common knowledge, intuition, or hunch, into hard information in the form of proof.

Get full Download Microsoft Word File access
for only $8.97.
In fact, mathematicians have accepted hunches and other soft sources of information to be "true" even before formal proof has been established. Number theory is especially full of instances in which mathematicians can rely fairly well on assumptions without demanding full proof: "in Number theory, there may be heuristic evidence so strong that it carries conviction even without rigorous proof," (p. 411). For example, mathematicians do not know for sure whether or not an infinite number of twin prime number pairs exist and yet we still act as if there are an infinite number of twin prime pairs. Mathematicians take some ideas for granted, unless of course the ideas are proven wrong. In any case, proofs often take generations or even centuries to manifest. Prime number theory was first postulated in 1792 by a fifteen-year-old Gauss, but the theory remained unproven until 1896. Mathematicians rely on soft information that can be best described as working knowledge until hard information becomes available.

Term Paper on Growth of Mathematics Assignment

Similarly, mathematicians permit the existence of underlying beliefs, biases, and ideology that may influence… [END OF PREVIEW] . . . READ MORE

Two Ordering Options:

Which Option Should I Choose?
1.  Buy full paper (2 pages)Download Microsoft Word File

Download the perfectly formatted MS Word file!

- or -

2.  Write a NEW paper for me!✍🏻

We'll follow your exact instructions!
Chat with the writer 24/7.

Objective Map Essay

Pre-Calc Trigonometry Journal

Mathematics Curriculum Education Research Proposal

Mathematics My Role as a Special Education Term Paper

Bayesian Methods for Data Analysis in Transcription Networks Term Paper

View 200+ other related papers  >>

How to Cite "Growth of Mathematics" Term Paper in a Bibliography:

APA Style

Growth of Mathematics.  (2006, August 7).  Retrieved December 1, 2020, from

MLA Format

"Growth of Mathematics."  7 August 2006.  Web.  1 December 2020. <>.

Chicago Style

"Growth of Mathematics."  August 7, 2006.  Accessed December 1, 2020.