Mathematical statements are unambiguous- nature of math, Mathematics

Mathematical Statements Are Unambiguous :  Consider any mathematical concept that you're familiar with, say, a sphere. The definition of a sphere is clear and precise. Given any object, you can very definitely say whether It is a sphere or not. Similarly, the definition of any concept in mathematics, or any mathematical statement, is absolutely unambiguous, leaving no place for doubt. This is because we formally construct this abstract world of mathematics by first accepting a certain set of axioms which are consistent. Then, on the basis of these axioms, we formally define certain concepts clearly and precisely. Once the axioms are chosen and the situation defined, there is no scope for ambiguity.

Very often, of course, when we apply mathematical terms to real-life situations, we use the terms loosely, and not according to their. Mathematical definition That is when the term can become imprecise. A good example is the usage of 'half in day-to-day conversation, which we shall talk more about in Block 4. I'm sure you can think of several other examples.

E1) List some more examples of a mathematical term being used 'imprecisely in day-to-day situations. Give reasons for your choice.

So far, we have talked about various aspects of mathematics that can often be found in other disciplines too. But what we are going to talk about now is peculiar to mathematics.



Posted Date: 4/24/2013 2:01:51 AM | Location : United States

Related Discussions:- Mathematical statements are unambiguous- nature of math, Assignment Help, Ask Question on Mathematical statements are unambiguous- nature of math, Get Answer, Expert's Help, Mathematical statements are unambiguous- nature of math Discussions

Write discussion on Mathematical statements are unambiguous- nature of math
Your posts are moderated
Related Questions
Logarithm Functions : In this section we'll discuss look at a function which is related to the exponential functions we will learn logarithms in this section. Logarithms are one o

How to Dealing With Exponents on Negative Bases ? Exponents work just the same way on negative bases as they do on positive ones: (-2)0 = 1 Any number (except 0) raised to the

A 65 ohm resistor is connected to a power supply , a current of 2.4 amperes is drawn. what is the output voltage?

how to do them?

What is the square root of 36? To search the square root (√) you ask yourself, "What number multiplied through itself gives me 36?" 6 .6 = 36; thus, 6 is the square root of 36.

Provided a homogeneous system of equations (2), we will have one of the two probabilities for the number of solutions. 1.   Accurately one solution, the trivial solution 2.

Find out Least Common Multiple? The smallest number that is a common multiple of two numbers (that is, both numbers share the same multiple) is called the least common multiple

Pepsi:               A dummy variable where 1 denotes choice of Pepsi by the i-th customer and 0 otherwise Price_P:           The price of a 2-liter bottle of Pepsi at the time

Simple derivatives Example   Differentiate following.  (5x 3   - 7 x + 1) 5 ,[ f ( x )] 5 ,[ y ( x )] 5 Solution: Here , with the first function we're being asked to

Three Dimensional geometry Intorduction In earlier classes we studied about the coordinates in two planes that is the XY plane. Here we are going to study in detail about th