## Diagram: World Models in Human Minds and Multimodal AI Reasoning
### Overview
The image presents a conceptual framework for world modeling in human minds and multimodal AI systems. It is divided into three main sections:
1. **World Models in Human Minds**: Illustrates how humans construct mental models of the world, including dual representations (verbal/symbolic vs. visual/imagery knowledge).
2. **Reasoning with Verbal World Modeling in Multimodal AI**: Demonstrates AI applications like mathematical reasoning, travel planning, and everyday activity planning.
3. **Reasoning with Visual World Modeling in Multimodal AI**: Focuses on spatial reasoning using visual inputs (e.g., identifying object locations in images).
### Components/Axes
#### Section 1: World Models in Human Minds
- **Diagram Elements**:
- A person with a thought bubble containing a simplified Earth model (labeled "Approximate") and a real Earth (labeled "Feedback").
- Text: "World Model: Mental Model of the World" and "Dual Representations of World Knowledge."
- Subcomponents:
- **Verbal/Symbolic Knowledge**: Equation `y = ax² + bx + c` and `F = ma` (physics).
- **Visual/Imagery Knowledge**: Basketball trajectory diagram with a YouTube play button.
- **Labels**:
- "Approximate" (arrow from simplified Earth to real Earth).
- "Feedback" (arrow from real Earth to thought bubble).
- "Dislike in Daily Life" (red text under verbal knowledge).
- "Prefer in Daily Life" (green text under visual knowledge).
#### Section 2: Reasoning with Verbal World Modeling in Multimodal AI
- **Subsections**:
1. **Mathematical Reasoning**:
- Question: "If a > 1, then the sum of the real solutions of √(a - √(a + x)) = x is equal to..."
- Response: Step-by-step algebraic manipulation (squaring both sides, rearranging terms).
2. **Travel Planning**:
- Task: Plan a trip with a $1,700 budget.
- State/Observation: "Initial Budget: $1700, Spent: $0. Flight F3573659: $474."
- Action: "Plan day 1 transportation. Select Flight F3573659."
- Next State: "Spent $474, leaving $1226."
3. **Everyday Activity Planning**:
- Goal: Cook tomato and eggs.
- State: "Eggs from liquid to partially cooked state."
- Action: "Cook the eggs in the pan."
- State Change: "Eggs transformed into curds."
#### Section 3: Reasoning with Visual World Modeling in Multimodal AI
- **Subsections**:
1. **Real-World Spatial Reasoning**:
- Question: "When you took the photo in Figure 1, where was the iron refrigerator located relative to you?"
- Text: "It’s not visible in that initial view, so I need to change my perspective."
- Images: Three photos of a room (fireplace, kitchen, and living area).
2. **Visual Reasoning Process**:
- Text: "My initial turn was..."
