Descarte’s Secret Notebook by Amir D. Aczel

Aczel, Amir D. Descartes’ Secret Notebook. New York: Broadway, 2005.

A famous mathematician with suspected ties to a secretive cabal of global reformers dies from possible poisoning at the hand of a doctor employed by a European power. A French official surveys his papers, including a coded notebook, and has them quietly sent to the safekeeping of a relative. Years later, another brilliant mathematician, suffering from attacks on his reputation, seeks out the notebook to uncover its secrets.

It sounds like the plot of a thriller. Amir Aczel uses it to frame his biography of philosopher and mathematician René Descartes.

Descartes’ greatest hit as a philosopher was, “Cogito, ergo sum” (I think, therefore I am). He was a leader in rationalism, a philosophy that emphasizes the discovery of truth by use of reason. His method focused on methodical doubt by which he aimed to find truth (to him, all knowledge was connected, not discreet, unrelated truths) by reasoning out those things that could not be doubted. Thusly he reasoned his existence because he couldn’t very well doubt it when he was sitting there thinking about it. His method set him against the prevailing philosophy of the day, scholasticism, which focused on learning from authoritative figures and sources, particularly Aristotle.

High school algebra students will immediately recognize Descartes’ contribution to math. From today’s perspective, it may be hard to understand why it was such a big deal in the 17th Century. Descartes created analytic geometry, which uses algebraic equations to describe and understand geometric shapes. Before this, geometry and algebra were distinct fields, not parts of a unified mathematics. As part of this, he gave us Cartesian coordinates, the familiar x,y graph that has makes so many high school kids cross-eyed. Despite complaints that they’ll never use it, behind the scenes Cartesian coordinates are ubiquitous.


Descartes was not part of a secret society. He was a devout Catholic and was careful not to publish anything that would put him in direct conflict with the church. Even so, the writings of the Rosicrucians, a group of philosophers who sought political and religious reform and the advancement of science, influenced him. He even knew one of the brotherhood, though he may have been unaware of it. Despite his efforts to distance himself from the Rosy Cross, his books used terms that made some believe he was a Rosicrucian and his notebook included alchemical symbols that the group used.

Gottfried Leibniz, co-creator of calculus, was under attack from proponents of Isaac Newton, who independently created calculus contemporaneously with Leibniz. Other accused Leibniz of deriving his work from Descartes, which is why he diligently tracked down the Frenchman’s papers.

What did Descartes’ secret notebook contain? Leibniz handily decoded it. Descartes discovered Euler’s theorem. For polyhedrons, the sum of the number of faces (F) and the number of vertices (V) minus the number of edges (E) is 2 (F + V – E = 2). Descartes kept his discovery secret because some may have construed it as supporting a theory of Johann Kepler that used regular polyhedrons to describe planetary orbits in a Copernican model of the solar system. This was contrary to the teaching of the church, which Descartes wanted to avoid because of his personal devotion and because conflict with the Inquisition could be a career-ending (and life-ending) move.

Amir D. Aczel also wrote Chance.

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Cure by Jo Marchant

Over my lifetime, I’ve observed an increasing interest in the connection between mind and body. It is not a new concept, but it has gained ground and the Cartesian distinction between mind and body has eroded. However, how we are still learning how it works and the extent to which it is effective in the treatment of disease. Geneticist and science writer Jo Marchant explores these issues in Cure.

Marchant considers three areas in which there appears to be mind-body connections that have promise for use in medical settings. First is the placebo effect. Next, she looks at meditation, biofeedback and hypnosis. Finally, she discusses the effects of our viewpoint, especially how increase or reduce stress.

We are equipped with an internal pharmacy that can reduce or aggravate pain, and it can be triggered by something as vague as our expectations. This placebo affect can be as powerful as drugs at reducing pain and some other symptoms of disease, which can make it difficult to test the effectiveness of drugs. Some physicians are starting to change their minds about the placebo effect. Instead of seeing it as a problem that gets in the way of testing drugs, they are seeing it a potential substitute for drugs. The placebo effect has limitations; it can reduce pain and symptoms, but it does not cure the underlying disease or injury. There is also a nocebo effect, which causes pain and fatigue.

Another interesting effect discussed by Marchant is conditioning of the immune system. In some cases, we can prompt the immune system to have a conditioned response; we can train it. After taking a drug, the immune system can reproduce the response to the drug at lower doses. We can strengthen the conditioning by accompanying the drug with strong rituals; repeating the rituals can produce the response to some degree. This holds some promise for improving the effectiveness of drugs and reducing the dose needed to be effective, especially when a drug as serious side effects. I thought this was fascinating.

Our brain is more connected, and in control, of our bodily functions that we previously realized. Meditation, hypnosis and biofeedback can allow people to exercise control over operations of the body that were previously thought to be automatic or even independent of the brain. This includes pain, blood flow, stress response, heart rate variability and vagal tone.

Relationships also have a profound effect on our health. Strong social connections keep us young, and lack of relationships is harmful to our health. Our own compassion for others can reduce stress hormones and inflammation. When physicians, surgeons, nurses and other health care professionals care for their patients as people, those patients receiving the emotional support experience less pain and longer lives.

Marchant shows there is potential for a new way of doing medicine, or room to reintroduce older practices. By slowing down and showing genuine concern for patients, doctors can multiply the effect of their treatment. Teaching people to slow down and pay attention to their bodies, the people they love and the good things in their lives, we can take advantage of the healing capacities of the mind and body. Medicine can be less about dispensing drugs and more about lifestyle and relationship.

If you’re interested in this book, you may also be interested in

The Beethoven Factor by Paul Pearsall

Change Your Brain Change Your Body by Daniel G. Amen

Descarte’s Secret Notebook by Amir D. Aczel

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I Can Make You Thin by Paul McKenna

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The Relaxation Response by Herbert Benson with Miriam Z. Klipper

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Timeless Healing by Herbert Benson with Marg Stark

Writing Down the Bones by Natalie Goldberg

Marchant, Jo. Cure: A Journey into the Science of Mind over Body. New York: Crown, 2016.