"Study the science of art. Study the art of science. Develop your senses – especially learn how to see. Understand that everything is connected to everything else." - Leonardo da Vinci
The human mind is always on a mission to understand, tirelessly working to link different ideas together. This connection of concepts is the foundation of creativity, fueling innovation and expanding what we know. "Connecting the dots" might seem like it covers this process, but it doesn't quite get to the heart of creative thought. It's about "seeing X as Y," going beyond basic connections to find surprising and meaningful relationships that spark truly original thought.
In the earlier article, the idea of “Seeing X as Y” was introduced. Here, I would like to explore some connected ideas.
Even though “Seeing X as Y”, analogical reasoning, and use of metaphors operate at the intersection of language, thought, and creativity, and "seeing X as Y" might seem like an umbrella term covering metaphors and analogical reasoning, there are some subtle but crucial distinctions between them. Let's look at the characteristics and examples of each:
1. Metaphors:
Nature: Primarily linguistic devices, used to create vivid imagery and emotional impact. They highlight similarities between two disparate concepts to evoke a particular feeling or understanding.
Focus: On creating an implicit comparison, often without directly stating the connection ("is" or "like").
Typical Structure: "X is Y," but not meant to be taken literally.
Examples:
"Life is a journey." (Emphasizes experiences and progress)
"He drowned in a sea of grief." (Conveys the intensity of sadness)
"The world is a stage." (Highlights roles and performance)
"All the world's a stage, and all the men and women merely players," - Shakespeare
2. Analogical Reasoning:
Nature: A cognitive process, used to explain or predict by drawing parallels between a familiar domain (source) and a less familiar one (target).
Focus: On transferring knowledge or understanding from one context to another based on structural similarities.
Typical Structure: "X is to Y as A is to B." An explicit comparison highlighting relationships.
Examples:
"Just as a sword is a warrior's weapon, a pen is a writer's weapon." (Both tools empower their respective users). Commonly attributed to Samuel Taylor Coleridge
"Understanding atoms is like understanding the solar system; both involve smaller entities orbiting a larger one." (Explaining atomic structure through a familiar analogy)
Lawyers using case precedents (analogous situations) to argue legal points.
3. "Seeing X as Y":
Nature: A broader cognitive act that encompasses both metaphors and analogies but goes beyond them. It's about shifting perspectives and framing, leading to new insights or creative solutions.
Focus: On the act of perception itself, how we choose to interpret or conceptualize something, not just comparing.
Typical Structure: Can take many forms, including metaphors and analogies, but also reframing ("seeing the problem as an opportunity"), paradigm shifts (seeing the Earth as revolving around the sun), or even simple acts of recategorization (seeing a chair as a stepladder).
Examples:
The Gestalt psychology principle of "seeing the whole as greater than the sum of its parts."
A businessperson seeing a competitor's success not as a threat but as a learning opportunity.
An artist seeing everyday objects as potential materials for sculptures.
More examples showing that "seeing X as Y" isn't just about drawing a superficial comparison, but rather a fundamental shift in perspective that unlocks new insights, possibilities, and applications.
Airbnb: Didn't see themselves as a hotel chain, but as a platform for connecting travelers with unique experiences and fostering a sense of belonging (selling hospitality, not just rooms).
Tesla: Doesn't just sell electric cars, but positions itself as accelerating the world's transition to sustainable energy (selling a mission, not just vehicles).
Patagonia: Frames its business around environmental activism, encouraging customers to buy less but buy better, even repairing old gear to extend its lifespan (selling values and responsible consumption, not just outdoor apparel).
Duolingo: Doesn't just sell language learning software, but aims to make education accessible and free for everyone (selling empowerment and opportunity, not just lessons).
LEGO: Transcended being a toy company to become a platform for creativity and imagination, fostering communities and even venturing into education and film (selling possibilities, not just bricks).
Word2Vec: Seeing words as vectors in a high-dimensional space allows us to capture semantic relationships and perform calculations on them that were previously unimaginable (meaning becomes geometry).
Fourier Transform: Sees complex signals as combinations of simpler sinusoidal waves, providing a powerful tool for analyzing and manipulating data in fields like audio processing, image compression, and quantum mechanics (complexity becomes simplicity).
Game Theory: Sees social interactions and strategic decision-making as a game with players, strategies, and payoffs, enabling us to model and analyze complex systems like economic markets, political negotiations, and even evolutionary biology (behavior becomes quantifiable).
Probability Theory: Sees random events not as chaotic but as governed by underlying patterns and distributions, allowing us to make predictions and manage risk in fields like finance, insurance, and weather forecasting (uncertainty becomes manageable).
Category Theory: Sees mathematical structures not in isolation but in relation to each other through maps and transformations, providing a unifying language and framework for connecting different areas of mathematics (abstraction becomes connection).
The Renaissance: Seeing the classical world not as a distant past but as a source of inspiration and knowledge to be revived, leading to a flowering of art, literature, and scientific inquiry.
Gandhi's Nonviolent Resistance: Seeing oppression not as a call to arms but as an opportunity to demonstrate moral strength through passive resistance, transforming the dynamics of political struggle.
Program Music (Debussy, Stravinsky): Seeing music as a way to evoke extra-musical ideas, such as landscapes, emotions, or stories, expanding the expressive possibilities of the art form.
Impressionism (Monet, Renoir): Seeing light and color not as static properties but as fleeting impressions to be captured with quick brushstrokes, conveying a sense of atmosphere and movement.

Key Differences in a Nutshell:
Metaphors: Primarily about creating evocative imagery and emotional resonance through implicit comparison.
Analogies: About transferring knowledge or understanding through explicit comparison based on structural similarities. Somewhat logical and explicit.
"Seeing X as Y": A broader act of perception and framing that encompasses metaphors and analogies but also includes shifts in perspective, interpretation, and categorization.
By understanding these distinctions, we can become more adept at using these powerful cognitive tools to enhance our communication, problem-solving, and creative thinking.
Potential pitfalls of “seeing X as Y”.
While "seeing X as Y" can be a powerful engine for creativity and insight, it can also lead us down paths of delusion and misinterpretation if not approached with caution. The very act of perceiving connections, of superimposing one framework onto another, opens the door to potential pitfalls.
To ensure that "seeing X as Y" illuminates rather than deceives, we must cultivate a discerning eye and consider several crucial factors:
1. Contextual Sensitivity:
Relevance: The connection between X and Y should not be arbitrary or superficial. Is there a meaningful and justifiable relationship between the two within the given context? For example, seeing a political opponent "as" a mortal enemy might be emotionally satisfying but lacks nuanced understanding.
Domain Specificity: Analogies and metaphors work best when the underlying principles of the domains align. Applying principles from one field to another indiscriminately can lead to flawed conclusions. For instance, applying economic principles like "survival of the fittest" to social policy requires careful ethical consideration.
2. Critical Evaluation:
Evidence and Logic: Just because we can see X as Y doesn't mean we should accept that perception at face value. What evidence supports this view? Does it align with existing knowledge and logical reasoning? Confirmation bias, our tendency to favor information that confirms our existing beliefs, can distort our judgment.
Alternative Perspectives: Actively seek out and engage with perspectives that challenge your own. What are the limitations of seeing X as Y? Could other interpretations be equally valid, or even more accurate?
3. Awareness of Biases:
Cognitive Biases: We all harbor unconscious biases that can color our perceptions. Being aware of biases like the availability heuristic (favoring information that comes to mind easily) and the halo effect (generalizing positive impressions from one trait to a whole person) can help us mitigate their influence.
Emotional Reasoning: Intense emotions can cloud our judgment and lead us to make connections that are more emotionally driven than logically sound. Maintaining emotional awareness and a degree of detachment can help us make more objective assessments.
4. Openness to Revision:
Falsifiability: A hallmark of good reasoning is the willingness to subject our beliefs to testing and potential falsification. If seeing X as Y leads to predictions that prove consistently wrong, we must be open to revising our initial perception.
Humility: Recognizing the limits of our own knowledge and understanding is crucial. Embracing intellectual humility allows us to acknowledge when our initial "seeing X as Y" might be flawed or incomplete, and to remain open to new information and insights.
Ultimately, "seeing X as Y" is not a guaranteed path to truth but a starting point for exploration. By approaching this cognitive tool with a critical yet open mind, we can harness its creative potential while guarding against the pitfalls of illusion and misinterpretation.
Conclusion:
"Seeing X as Y" is more than a clever turn of phrase; it's a fundamental cognitive tool that empowers us to unlock new perspectives, generate creative solutions, and deepen our understanding of the world around us. By consciously cultivating this skill—by questioning assumptions, exploring analogies, and embracing diverse perspectives—we can tap into our innate capacity for innovation and insight. At the same time, let's remain vigilant about potential biases, critically evaluating our perceptions to ensure that our "seeing" leads to greater illumination, not distortion.