CodeWords

Katelyn's blog about the intersection of science, math, and language

Stanford’s Intro to Logic Summer Program 2025


This summer, I had the opportunity to attend Stanford’s Introduction to Logic course, an experience that expanded my understanding of logical reasoning and its real-world applications. I applied for the program with the goal of becoming a better thinker. The program provided frameworks for analyzing information, evaluating evidence, and constructing sound arguments in both academic and everyday settings.

Why Logic? Logic is foundational to clearer thinking, stronger problem-solving, and more persuasive
communication. Whether navigating convoluted social media slop or diving into
computational linguistics (a field I’m excited to explore), logic provides the structure analyze information where our information comes from fractionated sources where it is hard to distinguish the truth from misinformation and lies. The ability to identify fallacies, inconsistencies, and unsupported claims is not just helpful; it’s essential.
What I Learned
The course focused on foundational concepts like:
– Propositional Logic: Reasoning with statements that are either true or false.
– Relational Logic: A more complex form of logic involving relationships between
entities.
– Logic Proofs: We explored Hilbert and Fitch systems, learning how to derive
conclusions from premises using formal rules of inference.
One of the most memorable exercises was the zombie bridge problem, a classic logic puzzle that challenges you to get a group across a bridge under strict time constraints. While I expected more of these types of problems, the emphasis on formal logic and proofs was a nice surprise. We learned to spot unnecessary details and misleading wording from the exercise prompt which are skills that are transferrable when evaluating online content.

Challenges and Growth
Proofs were my biggest hurdle. At first, I struggled to understand how to move from premises to conclusions. But through practice and perseverance, I began to see the patterns and logic behind each step. That “AHA” moment was rewarding.
If I could go back in time, I’d research and learn more about basic logic concepts before starting the course. The pace was fast, and having a foundation would’ve made the experience smoother. I still had a great time and made some wonderful friends along the way.

Learning from the Best
The program was led by amazing educators:
– Nisanti Wilmont, an experienced teacher with a background in software
engineering and a passion for expanding access to computer science.
– Professor Michael Genesereth, a respected Stanford professor in
computational logic, whose insights into enterprise computing and game playing
added depth to our sessions.
Their guidance gave us the chance to connect theory with real-world problems,
especially in areas like computational linguistics, where logic plays a key role in parsing language, handling ambiguity, and building algorithms.
In addition to the instructors, we worked with graduate students who served as our teaching assistants. It was a great opportunity to learn why they chose this field and how they approach problems. Talking with people further along in their academic journey—but still actively learning—was genuinely inspiring.
I also learned from my peers. With fewer than 30 students in the program, we were able to have in-depth discussions and got to exchange ideas. I enjoyed hearing different perspectives and seeing how others built their logical arguments. One of the highlights was meeting international students, which added a global dimension to the experience.

Logic Takeaways
Outside the classroom, I can apply the concepts I learned when working with AI tools and interpreting their outputs, as well as when evaluating online narratives. I can approach information with a more structured mindset, which helps me detect faulty premises and recognize common fallacies like ad hominem attacks or straw man arguments, making it easier to avoid being influenced by manipulative rhetoric.

Course description link
https://intrologic.stanford.edu/intrologic/logicforall/logicisfundamental.html