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Reasoning and Proof
More Specific Topics in Reasoning and Proof
Popular Tutorials in Reasoning and Proof
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What's a Venn Diagram, and How Do You Find the Intersection and Union of a Set?
Venn Diagrams are really great tools for visualizing sets, especially when it comes to how sets intersect and come together. Check out this tutorial and see what we mean!
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What is a Theorem?
Theorems are a way for mathematicians to make a general mathematical statement. These statements can be used to help you solve all sorts of problems! See an introductions to theorems with this tutorial.
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How Do You Write the Converse, Inverse, and Contrapositive of a Conditional Statement and Determine Their Truth Values?
A conditional statement is an if-then statement. For every conditional statement you can write three related statements, the converse, the inverse, and the contrapositive. The video shows how these are related.
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How Do You Write a Biconditional Statement?
If you can write a true statement using "if and only if" , then you've got a biconditional. Learn more about biconditionals by watching the video.
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How Do You Use the Law of Detachment to Draw a Valid Conclusion?
See the Law of Detachment in action! This tutorial shows you an example that uses the Law of Detachment to make a conclusion.
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What is Inductive Reasoning?
You probably observe data and patterns to make predictions or conjectures on a regular basis. If so, you are using inductive reasoning. Check out the video to learn more!
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What is the Law of Syllogism?
If you have related conditional statements, the Law of Syllogism can help you link those conditional statements into one conditional statement. In this tutorial, you'll see how to combine related conditional statements using the Law of Syllogism.
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What is a Biconditional Statement?
When a conditional statement and its converse are both true, you can write them as one statement called a biconditional statement. Learn more about this special kind of statement by following along with this tutorial.
