About This Chapter
How it works:
- Identify which concepts are covered on your mathematical logic homework.
- Find videos on those topics within this chapter.
- Watch fun videos, pausing and reviewing as needed.
- Complete sample problems and get instant feedback.
- Finish your mathematical logic homework with ease!
Topics from your homework you'll be able to complete:
- The critical thinking process
- Logical fallacies
- Appeals to emotion, ignorance and popularity
- Truth tables and values
- Conjunctions and disjunctions
- Conditional statements
- Logical equivalence
- Direct proofs
- Geometric proofs
1. Critical Thinking and Logic in Mathematics
Logic has its own unique language and way of defining what is true and false. Watch this video lesson to learn how you can critically think in the language of logic while working with math.
2. Logical Fallacies: Hasty Generalization, Circular Reasoning, False Cause & Limited Choice
Watch this video lesson to see how you can identify cases where logic is not sound. Learn the characteristic traits of hasty generalization, circular reasoning, false cause, and limited choice.
3. Logical Fallacies: Appeals to Ignorance, Emotion or Popularity
Watch this video lesson to see examples of the logical fallacies of appeals to ignorance, emotion, and popularity. You will also see how to identify them.
4. Propositions, Truth Values and Truth Tables
Watch this video lesson and learn what truth values are and what a truth table looks like. Learn how to go from a proposition to its negation and how that affects the truth values and the truth tables.
5. Logical Math Connectors: Conjunctions and Disjunctions
Watch this video lesson to learn how to identify conjunctions and disjunctions. Also learn the connectors that are used with each. Learn how you can use them to make statements.
6. Conditional Statements in Math
Sometimes, what is true in the mathematical world of logic is false in the real world. Check out this lesson to learn how to identify conditional statements and how you can differentiate between what is logically true and what is true in reality.
7. Logic Laws: Converse, Inverse, Contrapositive & Counterexample
Logical statements can be useful, but only if we are able to determine their validity. In this lesson, we'll look at the various forms of a logical statement and see how they relate to each other.
8. Direct Proofs: Definition and Applications
In math, we can't explain that something is true just because. That's not enough. In this lesson, we'll learn to prove things using one of our most straightforward tools, the direct proof.
9. Geometric Proofs: Definition and Format
Do you have something to prove? Can you explain why? In this lesson, we'll learn all about geometric proofs, including the parts that comprise a proof.
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Other chapters within the High School Geometry: Homework Help Resource course
- Foundations of Geometry: Homework Help
- Introduction to Geometric Figures: Homework Help
- Properties of Triangles: Homework Help
- Triangles, Theorems and Proofs: Homework Help
- Parallel Lines and Polygons: Homework Help
- Similar Polygons: Homework Help
- Quadrilaterals: Homework Help
- Circular Arcs and Circles: Homework Help
- Conic Sections: Homework Help
- Geometric Solids: Homework Help
- Analytical Geometry: Homework Help
- Introduction to Trigonometry: Homework Help