contradiction

Related BrainMass Solutions

• Proof by Contradiction: 3n + 2 is Even, N is Even

  424425 Use the proof by contradiction method. Assume that n is a positive integer. Use the proof by contradiction method to prove and explain if 3n + 2 is an even integer then n is an even integer.

• Prove by contradiction that there does not exist a largest integer.

  It is proven by contradiction that there does not exist a largest integer.

• Integer Proofs by Contradiction

  This is a contradiction, as n is even. We complete our proof. Integer proofs by contradiction are provided.

• Karl Marx's theory of the Dialectical (contradiction in capitalism).

  3970 Marx's theory of the dialectal - the contradiction in capitalism. What is one contradiction in capitalism that Marx thought would destroy captialism?

• Basic Proof by Contradiction of the Zero Product Property

  Gives an introduction to proving things by contradiction.

• Proofs : Circles and Irrational Numbers

  We get a contradiction. Therefore, and are not both on the circle. 2. Proof: (by contradiction) Suppose the radius of the circle is less than .

• Defining a group using axioms.

  But by the definition, (-1)*0=max{-1,0}=0 and we get a contradiction. If 1 is the identity, then (-1)*1=(-1). But by the definition, (-1)*1=max{-1,1}=1 and we get a contradiction. If n>1 is the identity, then (-1)*n=(-1).

• Polynomial rings

  We get a contradiction. If , then and thus . Then we have But and . We get a contradiction. Therefore, we can always get a contradiction. Hence is irreducible in . (b) For , we set , then is equal to in (a).

• Simple Proof By Contradiction

  We prove by contradiction that 3n+2 is even if and only if n is even.

• Prove Connectedness

  This is a contradiction. Connectedness of an expression is proven by contradiction.