intermediate
Theoretical Utility Calculus
Examine the mathematical logic behind Utilitarian decision making.
Construct a theoretical ethical dilemma involving a choice between saving five strangers or one loved one. Apply Act Utilitarianism to resolve the dilemma and discuss the theoretical validity of aggregating happiness units.
advanced
Cardinality of Infinite Sets
Explain the theoretical differences between countable and uncountable infinities.
Explain the theoretical distinction between countable and uncountable infinity as defined by Georg Cantor. Use the concept of bijection to theoretically compare the set of natural numbers with the set of real numbers.
intermediate
The Simulation Argument Trilemma
Analyze the probabilistic argument that reality is a simulation.
Outline Nick Bostrom's Simulation Trilemma. Explain the theoretical logic behind the claim that at least one of the three propositions must be true, and discuss the statistical probability of humanity existing in a base reality versus a simulated one.
advanced
Power Dynamics in Critical Theory
Analyze how cultural texts reinforce dominant power structures.
Provide a theoretical analysis of how mass media can serve as a tool for maintaining the status quo. Utilize concepts from Critical Theory to explain how cultural hegemony functions theoretically in a modern society.
easy
Draft a Polished Follow-Up Email
Generate a polite and professional follow-up email to a client after a meeting.
Draft a professional follow-up email to send to a client named Alex after an initial project discovery meeting. The email should summarize the three key points discussed: the project timeline, the budget range, and the need for a specific design asset. Express enthusiasm for the collaboration and propose a next step to sign the contract by next Friday. Keep the tone formal yet approachable.
medium
Summarize Complex Text
Condense a long article or report into bullet points.
Act as an expert editor. Read the following text and provide a concise summary. The summary should be no longer than three sentences and must capture the main argument and the conclusion. After the summary, list 5 key takeaways as bullet points. Text: [Insert long text here]
easy
Explain Like I'm 5
Simplify a difficult concept using simple analogies.
Explain the concept of 'Blockchain Technology' as if I were a 5-year-old child. Use simple analogies involving a notebook or a shared diary. Avoid any technical jargon like 'hashing' or 'decentralization' unless you define them very simply. The goal is to make it easy to understand the basic idea of a shared record.
medium
Trolley Problem Analysis
Analyze the ethical implications of the classic trolley problem.
Consider the classic Trolley Problem. A runaway trolley
Medium
The Silent Clock
Write a story about a town where time stopped but people kept aging.
Write a short story set in a small town where every clock stopped at exactly 11:11, yet people continued to age normally. Describe the protagonist's realization of why time has broken and what it means for their future.
Easy
Villain's Perspective
Retell a classic fairytale from the villain's point of view.
Retell the story of 'Goldilocks and the Three Bears' entirely from the perspective of Baby Bear. Focus on the emotional trauma of the intrusion and the loss of security in their own home.
Easy
Digital Ghosts
Create haikus based on abstract technological concepts.
Write a series of three Haikus (5-7-5 syllable structure) about the concept of 'digital ghosts' or lost data on the internet. Capture the feeling of something being there but unreachable.
Hard
The Last Book
Describe the discovery of the last physical book in a digital world.
In a dystopian future where paper is illegal and all knowledge is digital, you have found the last physical book hidden in a basement. Describe the tactile sensation of the cover, the smell of the pages, and the first paragraph you read.
Medium
Alien Artifact Analysis
Analyze a common human object from an alien perspective.
You are an alien anthropologist studying Earth. Write a field report analyzing a common human object (e.g., a toaster, a rubber duck, a wedding ring) assuming you have absolutely no context for its actual use.
Hard
The Unspeakable Breakup
Write a high-emotion dialogue with forbidden words.
Write a dialogue between two people breaking up, but neither of them can use the words 'love', 'hate', 'breakup', 'relationship', or 'sadness'. Convey their emotions solely through subtext and actions.
Hard
Memory Magic
Design a magic system based on the cost of memories.
Design a magic system for a fantasy world where magic is powered strictly by memories. The stronger the spell, the more significant the memory you lose forever. Describe three specific spells and the specific memory cost required to cast them.