Equations are just the boring part of mathematics. I attempt to see things in terms of geometry.
This quote is suggesting that the essence of mathematics lies not in equations, but in the visual and conceptual understanding of the world that geometry provides. Equations are seen as the “boring” part of mathematics because they can be rigid and abstract, often detached from the tangible reality they are meant to represent. On the other hand, geometry is a branch of mathematics that deals with shapes, sizes, properties of space, and can be visually represented and understood, making it more engaging and interesting.
Hawking’s preference for seeing things in terms of geometry may reflect his approach to understanding the universe. He seeks to grasp the overall structure and relationships within the universe, rather than getting lost in the details of complex equations. It’s like looking at a map to understand the layout of a city, rather than reading turn-by-turn directions.
Applying this idea to today’s world or personal development, it suggests the importance of holistic, big-picture thinking. In an era where we are inundated with information and details, it can be easy to lose sight of the overall structure and patterns that underlie the surface complexity. Whether we are dealing with personal goals, business strategies, or societal issues, taking a ‘geometric’ view can help us understand the relationships and dynamics at play, and guide our decisions and actions more effectively.
For instance, in personal development, instead of focusing on individual habits or skills (the ‘equations’), we might benefit more from understanding how different aspects of our life fit together and influence each other (the ‘geometry’). This can help us identify the key areas that will have the greatest impact on our overall growth and happiness.
In business, instead of getting lost in the details of individual tasks or projects, a ‘geometric’ view can help us understand how different parts of the business interact and contribute to the overall goals. This can guide strategic decisions and help allocate resources more effectively.
In societal issues, a ‘geometric’ view can help us see the underlying structures and dynamics that drive observable phenomena, guiding more effective policies and interventions. For example, instead of addressing symptoms of social inequality individually, understanding the structural factors that perpetuate inequality can lead to more impactful solutions.
