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Puzzled Frog

Puzzled Frog is where I share what I’ve learned about Computer Science and Software Engineering through study, real-world experience, and a genuine interest in how things work.

The videos focus on clarity, rigor, and depth, without shortcuts or oversimplification. I try to balance hands-on content with well-grounded theory—the kind you'd find in serious academic programs and use in the field.

My hope is that I can help you puzzle through the hard stuff and come away with a deeper understanding of how it all fits together.

Proof by Induction
Proof by Induction
The Sum Rule Counting Principle
The Sum Rule Counting Principle
The Product Rule Counting Principle
The Product Rule Counting Principle
What is Counting, Really?
What is Counting, Really?
Computing the bounds on the sum of the first n square roots
Computing the bounds on the sum of the first n square roots
Proof by Cases
Proof by Cases
Rules of Inference in Predicate Logic
Rules of Inference in Predicate Logic
De Morgan's Laws
De Morgan's Laws
Proof by Contradiction
Proof by Contradiction
Proof by Contraposition
Proof by Contraposition
Probabilistic Models
Probabilistic Models
Cardinality of Sets
Cardinality of Sets
The Powerset of a Set
The Powerset of a Set
Cartesian Product
Cartesian Product
Partition of a Set
Partition of a Set
Set Operations
Set Operations
Representing Sets with Venn Diagrams
Representing Sets with Venn Diagrams
The Definition of a Set
The Definition of a Set
Universal and Existential Quantifiers
Universal and Existential Quantifiers
What is a Proof?
What is a Proof?
Direct Proof
Direct Proof
Tautologies and Contradictions
Tautologies and Contradictions
Logical Equivalences
Logical Equivalences
What is a Truth Table?
What is a Truth Table?
Propositional Logic Basic Syntax
Propositional Logic Basic Syntax
What are Logical Propositions?
What are Logical Propositions?
Proof by Contraposition: 3n + 2 odd ⇒ n odd
Proof by Contraposition: 3n + 2 odd ⇒ n odd
How to remove files from a Pull Request via Git commands
How to remove files from a Pull Request via Git commands
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