1.1 Simplification Drives Scientific Progress
Make everything as simple as possible, but not simpler.
Albert Einstein (see Glossary item, Occam's razor)
Advances in civilization have been marked by increasing complexity. To a great extent, modern complexity followed from the invention of books, which allowed us to build upon knowledge deposited by long-deceased individuals.
Because it is easy to admire complexity, it can be difficult to appreciate its opposite: simplification. Few of us want to revert to a simple, prehistoric lifestyle, devoid of the benefits of engines, electricity, automobiles, airplanes, mass production of food and manufactured items, and medical technology. Nonetheless, a thoughtful review of human history indicates that some of our greatest scientific advances involved simplifying complex activities (see Glossary item, Science). Here are just a few examples:
1. Nouns and names. By assigning specific names to individuals (eg, Turok Son of Stone, Hagar the Horrible), ancient humans created a type of shorthand for complex objects, thus releasing themselves from the task of providing repeated, detailed descriptions of the persons to whom we refer.
2. Classifications. Terms that apply to classes of things simplified our ability to communicate abstract concepts. The earliest classes may have been the names of species (eg, antelope) or families (eg, birds). In either case, class abstractions alleviated the need for naming every bird in a flock (see Glossary items, Abstraction, Species, Systematics, Taxonomy, and Classification).
3. Numerals. Early humans must have known that counting on fingers and toes can be confusing. Numbers simplified counting, and greatly extended the maximum conceivable value of a tally. Without an expandable set of integers, communicating "how much" and "how many" must have been an exasperating experience.
4. Glyphs, runes, stone tablets, and papyrus. Written language, and the media for preserving thoughts, relieved humans from committing everything to memory. The practice of writing things down simplified the task of recordkeeping and allowed ancient humans to create records that outlived the record-keepers (see Glossary item, Persistence).
5. Libraries. Organized texts (ie, books) and organized collections of texts (ie, libraries) simplified the accrual of knowledge across generations. Before there were books and libraries, early religions relied on the oral transmission of traditions and laws, an unreliable practice that invited impish tampering. The popularization of books marked the demise of oral traditions and the birth of written laws that could be copied, examined, discussed, and sometimes discarded.
6. Mathematics. Symbolic logic permitted ancient man to understand the real world through abstractions. For example, the number 2, a mathematical abstraction with no physical meaning, can apply to any type of object (eg, 2 chickens, 2 rocks, or 2 universes). Mathematics freed us from the tedious complexities of the physical realm, and introduced humans to a new world, ruled by a few simple axioms.
The list of ancient simplifications can go on and on. In modern times, simplifications have sparked new scientific paradigms and rejuvenated moribund disciplines. In the information sciences, HTML, a new and very simple method for formatting text and linking web documents and other data objects across the Internet, has revolutionized communications and data sharing. Likewise, XML has revolutionized our ability to annotate, understand, and merge data objects. The rudiments of HTML and XML can be taught in a few minutes (see Glossary items, HTML, XML, Data object).
In the computer sciences, language compilers have greatly reduced the complexity of programming. Object-oriented programming languages have simplified programming even further. Modern programmers can be much more productive than their counterparts who worked just a few decades ago. Likewise, Monte Carlo and resampling methods have greatly simplified statistics, enabling general scientists to model complex systems with ease (see Sections 8.2 and 8.3 of Chapter 8). More recently, MapReduce has simplified calculations by dividing large and complex problems into simple problems, for distribution to multiple computers (see Glossary item, MapReduce).
The methods for sequencing DNA are much simpler today than they were a few decades ago, and projects that required the combined efforts of multiple laboratories over several years, can now be accomplished in a matter of days or hours, within a single laboratory.
Physical laws and formulas simplify the way we understand the relationships among objects (eg, matter, energy, electricity, magnetism, and particles). Without access to simple laws and formulas, we could not have created complex products of technology (ie, computers, smartphones, and jet planes).
1.2 The Human Mind is a Simplifying Machine
Science is in reality a classification and analysis of the contents of the mind.
Karl Pearson in The Grammar of Science, 19001
The unrestricted experience of reality is complex and chaotic. If we were to simply record all the things and events that we see when we take a walk on a city street or a country road, we would be overwhelmed by the magnitude and complexity of the collected data: images of trees, leaves, bark, clouds, buildings, bricks, stones, dirt, faces, insects, heat, cold, wind, barometric pressure, color, shades, sounds, loudness, harmonics, sizes and positions of things, relationships in space between the positions of different objects, movements, interactions, changes in shape, emotional responses, to name just a few.2
We fool ourselves into thinking that we can gaze at the world and see what is to be seen. In fact, what really happens is that light received by retinal receptors is processed by many neurons, in many pathways, and our brain creates a representation of the data that we like to call consciousness. The ease with which we can be fooled by optical illusions serves to show that we only "see" what our brains tell us to see; not what is really there. Vision is somewhat like sitting in a darkened theater and watching a Hollywood extravaganza, complete with special effects and stage props. Dreams are an example of pseudo-visual productions directed by our subconscious brains, possibly as an antidote to nocturnal boredom.
Life, as we experience it, is just too weird to go unchecked. We maintain our sanity by classifying complex data into simple categories of things that have defined properties and roles. In this manner, we can ignore the details and concentrate on patterns. When we walk down the street, we see buildings. We know that the buildings are composed of individual bricks, panes of glass, and girders of steel; but we do not take the time to inventory all the pieces of the puzzle. We humans classify data instinctively, and much of our perception of the world derives from the classes of objects that we have invented for ourselves.
What we perceive is dependent upon the choices we make, as we classify our world. If we classify animals as living creatures, just like ourselves, with many of the same emotional and cognitive features as we have, then we might be more likely to treat animals much the same way as we treat our fellow humans. If we classify animals as a type of food, then our relationships with animals might be...