What is deductive reasoning, Mathematics

Assignment Help:

What is Deductive Reasoning ?

Geometry is based on a deductive structure -- a system of thought in which conclusions are justified by means of previously assumed or proved statements. The process of deductive reasoning involves three steps:

Step 1: Start with the given conditions (hypothesis).

Step 2: Use logic, definitions, postulates, or previously proved theorems to justify a sequence of thoughts.

Step 3: State your conclusions.

Example 4 :  Given DABC is an equilateral triangle with three congruent sides A@B@C. After we use logic to supply the correct statements in step 2, we can come to the conclusion (theorem): If all the three sides of a triangle are congruent, then the three angles are congruent.

 

 


Related Discussions:- What is deductive reasoning

Determine fog and gof, Let g be a function from the set G = {1,2,3,...34,35...

Let g be a function from the set G = {1,2,3,...34,35,36).  Let f be a function from the set F = {1,2,3,...34,35,36}.  Set G  and F contain 36 identical elements (a - z and 0 - 9).

Find the time required for an enlargement, 1. The polynomial G(x) = -0.006x...

1. The polynomial G(x) = -0.006x4 + 0.140x3 - 0.53x2 + 1.79x measures the concentration of a dye in the bloodstream x seconds after it is injected. Does the concentration increase

Operation research, interestind topic in operation research for doing proje...

interestind topic in operation research for doing project for msc mathematics

Horizontal asymptote, The horizontal asymptote of (16x+7)(x^2-5)/(x^2+36).

The horizontal asymptote of (16x+7)(x^2-5)/(x^2+36).

Product rule, Product Rule If the two functions f(x) & g(x) are differe...

Product Rule If the two functions f(x) & g(x) are differentiable (i.e. the derivative exist) then the product is differentiable and,

Substitution, When I complete each of the three methods, should I get the s...

When I complete each of the three methods, should I get the same x and y values?

Statistical estimation, Statistical estimation This is the procedure of...

Statistical estimation This is the procedure of using statistic to estimate a population parameter This is divided into point estimation whereas an estimate of a population

PROBLEM SOLVING, The perimeter of a rectangular swimming pool is 60m. The l...

The perimeter of a rectangular swimming pool is 60m. The length of the pool is 4 m more than the width. What is the width of the pool?

Matrix, cramers rule introduction

cramers rule introduction

External division of section formula, give me the derivation of external di...

give me the derivation of external division of sectional formula using vectors

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd