Medium
Gretel's Gun
Retell a fairy tale as a hard-boiled detective story.
Retell the story of Hansel and Gretel as a 1940s hard-boiled detective noir. The Witch is a crime boss running a candy-fronted smuggling ring. Hansel is missing, and Gretel is the femme fatale looking for answers. Use the gritty slang and tone of the genre.
beginner
The Hidden Letter
Write a short story about finding a hidden message.
Write a short story about a character who finds a mysterious letter tucked inside an old book at the library.
beginner
Sick Day Email
Draft a professional email for a specific scenario.
Draft a polite and professional email to your manager informing them that you are taking a sick day and will not be checking emails.
Intermediate
Exploring Non-Locality in Quantum Mechanics
Discuss the theoretical implications of quantum entanglement and local realism.
Explain the concept of quantum entanglement and its challenge to classical local realism. Discuss the EPR paradox and Bell's inequalities in a purely theoretical context, focusing on the interpretation of wave function collapse without referencing specific experimental setups.
Advanced
Unification Theories: Strings vs Loops
Compare the mathematical frameworks of String Theory and Loop Quantum Gravity.
Provide a theoretical comparison between String Theory and Loop Quantum Gravity. Focus on their fundamental assumptions regarding the fabric of spacetime and the mathematical frameworks used to describe quantum gravity. Discuss the dimensionality requirements in both theories.
Advanced
Resolving the Information Paradox
Analyze the conflict between quantum mechanics and general relativity regarding information loss.
Describe the Black Hole Information Paradox in detail. Discuss how the holographic principle offers a theoretical resolution to the problem of information loss in evaporating black holes, specifically addressing the unitarity of quantum mechanics.
Intermediate
The Many-Worlds Interpretation
Evaluate the theoretical validity of the Many-Worlds Interpretation of quantum mechanics.
Discuss the Many-Worlds Interpretation (MWI) of quantum mechanics. Analyze the theoretical necessity of wave function collapse versus the existence of branching universes, focusing on the implications for decoherence and the preferred basis problem.
Expert
Alignment and Corrigibility
Discuss the theoretical conflict between optimizing for a fixed objective and maintaining the ability for an operator to correct the AI.
Provide a rigorous theoretical analysis of the tension between instrumental convergence and corrigibility in advanced AI systems. Specifically, explain why an agent optimizing for a fixed utility function might resist shutdown, and propose a theoretical framework for modifying utility functions to incentivize corrigibility without causing instability in the agent's goal structure.
Advanced
System 1 vs System 2 in LLMs
Analyze LLM outputs through the lens of Kahneman's dual-process theory.
Analyze the cognitive architecture of Large Language Models using Daniel Kahneman's dual-process theory of System 1 (fast, automatic) and System 2 (slow, deliberate) thinking. Argue whether token prediction is inherently a System 1 process and if Chain of Thought prompting constitutes an emergence of System 2 capabilities, or if it is merely a simulated artifact of training data.
Hard
Implications of Gödel's Incompleteness Theorems
Discuss the theoretical limits of mathematical formal systems.
Explain Gödel's first incompleteness theorem in layman's terms. Then, analyze its implications for the possibility of a 'Theory of Everything' in physics. Specifically, can a physical system be both complete and consistent based on mathematical foundations?
Hard
The Hard Problem of Consciousness
Explore the gap between physical processes and subjective experience.
Define the 'Hard Problem of Consciousness' as posed by David Chalmers. Contrast this with the 'Easy Problems' of explaining cognitive functions. Propose a theoretical argument for or against the possibility of solving the Hard Problem through materialist reductionism.
Medium
Bostrom's Simulation Argument
Evaluate the probabilistic argument that we live in a simulation.
Outline Nick Bostrom's trilemma in the Simulation Argument. Discuss the ethical obligations of post-human civilizations running ancestor simulations. If one of the three propositions is false, which one is the most likely candidate for falsehood and why?
Beginner
Polite Refusal Email
Draft a professional email declining a request.
Draft a professional and polite email declining a request for a meeting due to a scheduling conflict, while suggesting an alternative time next week.
Beginner
Key Insights Summary
Summarize text into 3 bullets.
Summarize the provided text into exactly 3 bullet points, focusing only on actionable insights and key data points.
Intermediate
Explain Like I'm Five
Explain complex topics simply.
Explain the concept of blockchain technology to a 10-year-old using simple analogies related to sharing notebooks in a classroom.