John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Discrete Math

Precedence: A Comprehensive Guide To The Hierarchy Of Laws And Regulations

Precedence (Highest/strongest to Lowest/Weakest) negation (~)conjunction (^)disjunction (V)Implication (=>) Bi Implication () Precedence refers to the priority or hierarchy given to certain elements, principles, or actions over...

John Rhodes
June 21, 2023
Discrete Math

Mastering The Associative Property Of Math: How To Use Parentheses To Clarify Order Of Operations

What do you parenthesize if a statement has two or more of the same operators? you start from the right because of right associativity If a statement...

John Rhodes
June 21, 2023
Discrete Math

Mastering Logical Connectives: An Organized Guide To Truth Tables In Math

Order of truth tables smalles to largest (in binary) Truth tables are normally presented in a specific order to help clarify the different logical connectives and the...

John Rhodes
June 21, 2023
Discrete Math

Truth Tables: How To Determine The Number Of Rows Based On Boolean Variables

number of rows in a truth table 2^n, where n = number of variables The number of rows in a truth table depends on the number of...

John Rhodes
June 21, 2023
Discrete Math

Mastering Logic: The Significance Of Contradictions In Critical Thinking

what is Contradiction? a statement form that is always false regardless of the truth values of the individual statements substituted for its statement variables ( p ^...

John Rhodes
June 21, 2023
Discrete Math

The Logic Of Statement Equivalence: How To Prove Statements Are Equivalent.

when are two statements equivalent? two statements are called logically equivalent if, and only if, they have identical truth values for each possible substitution of statements for...

John Rhodes
June 21, 2023
Discrete Math

Unpacking Tautologies: A Comprehensive Explanation With Examples From Logic And Mathematics

What is Tautology? a statement that is always true regardless of truth values of the individual statements Tautology refers to a statement or proposition in which the...

John Rhodes
June 21, 2023
Discrete Math

Conditional Statements: Implications In Mathematics, Programming, And Philosophy

Conditional statements/implications p => qwhen p is false, then p => q is vacuously trueif p is true, q must be true Conditional statements/implications are logical statements...