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Discrete Math Proofs in 22 Minutes (5 Types, 9 Examples)

Discrete Math Proofs in 22 Minutes (5 Types, 9 Examples)

TrevTutor

We look at direct proofs, proof by cases, proof by contraposition, proof by contradiction, and mathematical induction, all within 22 ...

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2:38

Simple Direct Proof Example

Simple Direct Proof Example

mathapptician

A simple direct proof example on the sum of the first n natural numbers (starting from 1).

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3:38

Proof by Contrapositive | Method & First Example

Proof by Contrapositive | Method & First Example

Dr. Trefor Bazett

Learning objective: prove an implication by showing the contrapositive is true. This video is part of a Discrete Math course taught ...

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7:32

Proof by Mathematical Induction - How to do a Mathematical Induction Proof ( Example 1 )

Proof by Mathematical Induction - How to do a Mathematical Induction Proof ( Example 1 )

Learn Math Tutorials

In this tutorial I show how to do a proof by mathematical induction. Join this channel to get access to perks: ...

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9:00

Proof by Contradiction | Method & First Example

Proof by Contradiction | Method & First Example

Dr. Trefor Bazett

Proof by Contradiction is one of the most important proof methods. It is an indirect proof technique that works like this: You want to ...

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Writing Proofs | Direct Proof Example

Writing Proofs | Direct Proof Example

Michael Penn

We prove a statement using the method of direct proof.

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5:38

Direct Proof Example

Direct Proof Example

randerson112358

Discrete math proofs practice ▻Videos on Proof Strategies: 1) Proof if n^2 is even then n is even: https://youtu.be/ms-dC6i5oMo 2) ...

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Direct Proof: Example 1

Direct Proof: Example 1

Discrete Math videos

... this example we're going to try to prove that if n is even then 3 n + 5 is odd. So it's important to start these proofs understanding ...

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Set equality proof example 1

Set equality proof example 1

David Ramsey

Note that this proof still works even if X and Y are the empty set.

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1:55

Inductive Proof Example 2 - Sum of (2j-1)

Inductive Proof Example 2 - Sum of (2j-1)

The Walton Pi

In this video, we prove by induction that the sum from 1 to n of (2j-1) is equal to n^2.

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Combinatorial Proof Example (Lecture 13)

Combinatorial Proof Example (Lecture 13)

EECS 203

Small edit: in the "Story" portion of your combinatorial proof, make sure you explicitly mention the counting/grouping. So in this ...

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Induction Inequality Proof Example 1: Σ(k = 1 to n) 1/k² ≤ 2 - 1/n

Induction Inequality Proof Example 1: Σ(k = 1 to n) 1/k² ≤ 2 - 1/n

Eddie Woo

Induction proofs involving sigma notation look intimidating, but they are no more difficult than any of the other proofs that we've ...

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Direct proof example

Direct proof example

Beth Kelly

This video screencast was created with Doceri on an iPad. Doceri is free in the iTunes app store. Learn more at ...

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10:08

Proof by Mathematical Induction - How to do a Mathematical Induction Proof ( Example 2 )

Proof by Mathematical Induction - How to do a Mathematical Induction Proof ( Example 2 )

Learn Math Tutorials

In this tutorial I show how to do a proof by mathematical induction. Join this channel to get access to perks: ...

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Natural Deduction Proof Example | Step-by-Step in 3 Minutes

Natural Deduction Proof Example | Step-by-Step in 3 Minutes

Let's Get Logical

A short, 3-minute visual walkthrough of a natural deduction proof using core inference rules: simplification, conjunction, disjunctive ...

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5:38

Boolean Proof Example 7: Using Contradictory Premises and Conditionalization

Boolean Proof Example 7: Using Contradictory Premises and Conditionalization

FREGE: A Logic Course Elaine Rich, Alan Cline

An example of a Boolean logic proof that exploits two important inference rules: Conditionalization and Contradictory Premises.


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