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Using Euler Diagrams to Understand a Vacuously True Implication
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Explore
Classroom Norms
Logical Implication
Quantification
Mathematical Induction
Function
EXPERIMENTAL MODULE
Tasks
Alternative Language for Implications
Analyzing "Proofs" of a Logical Implication
Determining the Validity of an Argument
Proving Existence Nonconstructively
The Role of k Versus n in Mathematical Induction
Determining How Order of Quantification Impacts Mathematical Logic
Showing an Implication is False
Proving Multiply Quantified Statements
An Introduction to Multiply Quantified Statements
Introduction to the Existential Quantifier
Introduction to the Universal Quantifier
Contrapositive Equivalence
Introducing the Concept of Negation
Addressing Quantification of the Negation
Properties of the Composition of Functions
Proving Existence Constructively
Translating Mathematical Symbols into Meaningful Understanding
Identifying Valid Mathematical Statements
Determining Relationships Between Truth Sets
Logical Implication: The Quartet Task
Current page:
Using Euler Diagrams to Understand a Vacuously True Implication
Visualizing an Implication with a False Hypothesis
Understanding the Negation of an Implication
Reinventing the Principle of Mathematical Induction
The Principle of Mathematical Induction: Scenarios
Heuristics
Using Euler Diagrams to Understand a Vacuously True Implication
Using Euler Diagrams to Understand a Vacuously True Implication
This task engages students with the truth of an implication with a false hypothesis.
This task was designed by Rachel Arnold.
View Task (PDF)
Editable Task File (TeX)
