What is Logic in Math? Mathematics is more than just a subject of natural science; it triggers movement in your brain, which wants to understand the logic. You need strong logic building skills to understand the concept of mathematics. Aristotle suggested different ways to use logic and determine the laws for mathematical reasoning. In other words, the act of contradiction states that the statement can either be true or false and cannot be both of them. A Venn diagram is a perfect example of logic building and the concept of mathematics. In the Venn diagram, there are two conditions, i.e., "either/or" and "And." We use either/or when the laws of mathematics provide the options between two or more values. Let us consider an example of x≤5. In this expression, the value of x can be 5 or less than 5. We have options here. Now, if the expression is x=5. Then, you don't have any choice, and the value needs to be equal to 5 at all costs. Logic is, for the most part, void from the core standards, but most schools will include them as precursors for geometric proofs. I feel they are importance enough to recognize. That is why I created this section for you.
- Complete the Truth Table - These help students map out all the possible outcomes of a data-based scenario.
- Conditionals Using Logic Tables - This presents students with situational based logic statements.
- Conjunctions Using Logic Tables - This is where two or more simple statements are joined together through the use of a connector.
- Disjunction, Conditionals and Biconditionals - Students learn how examine and make sense of "and", "or" , plus "if and only if" statements.
- Disjunction Based Logic Tables - We encourage you start with these statements when touching on advanced logic.
- Logic : Conjunctions, Disjunctions, and Biconditionals - This provides you with a nice review of these statements.
- Negation and Conjunction In Logic Statements - Students learning to evaluate these two opposite statement forms.
- Related Conditional: converse, inverse, contra- positive- - Students learn to master conditional statements and determine their truth values.
- Truth Value of Open Sentences - These statements can be viewed a number of different ways and their value is determined by the context in which they are used.
- Truth Values of Compound Sentences - This is the more complex side of logic. You should examine these types of statements towards the end of your skill development.
- Using Venn Diagrams Problems - Students learn how to build visual models of data sets.