Thursday 14 April 2011

The mathematics of the heart


Math and the heart – the words sound completely opposed.  We like to divide things into “left-brain” and “right-brain” and never the twain shall meet. I’m this or I’m that.  In fact, that neat distinction isn’t something neurology supports, and we might do better to follow the Renaissance ideal – to achieve in all spheres.  At the moment, most of our respect is reserved for the math side of things – for proof, for science, for good empirical fact, for logic. And the moment we do that, we automatically consign all matters of the heart and emotion to a box labeled unscientific, illogical, unproven, fluffy.  This is a dangerous way to live – and as we start to use math to explore the heart, we find out why.

The maths of being nice

In a recent article in the New Scientist, Martin Nowak explains how he’s used mathematics to explore human cooperation – and been able to show some surprising and powerful results.  For evolutionary psychology, cooperation is fascinating: why would we evolve to help each other, often to our own cost? Why should I tell you about a great job opportunity if you’re more likely to get it than I am, or spend my weekend painting your house when mine needs cleaning?  How does that help natural selection in my favor?  There are five main ways we cooperate that do act in our favor – some obviously, others more subtly:
  • Ÿ         kin selection – helping a close relative, I’m painting your house because you’re my mom
  • Ÿ         direct reciprocity – tit-for-tat, I help you paint so you’ll help me clean
  • Ÿ         indirect reciprocity – if I help you, other people will know and help me later
  • Ÿ         spatial selection – we’re neighbors, so we help each other and survive in clusters
  • Ÿ         group selection – we’re part of a group who all help each other, plus that means we do better than other groups

Martin Nowak’s mathematical models are a neat, elegant way of showing how these different forms of cooperation work and benefit us.  As a strong religious believer, he’s equally interested in looking at how his work overlaps with religious beliefs:

I see the teachings of world religions as an analysis of human life and an attempt to help. They intend to promote unselfish behaviour, love and forgiveness. When you look at mathematical models for the evolution of cooperation you also find that winning strategies must be generous, hopeful and forgiving. In a sense, the world's religions hit on these ideas first, thousands of years ago.

The power of forgiveness versus punishment is a point to which he returns.  Punishment can be used to police cooperation – cooperate or else! – and most people hold on to the belief that punishment works, or if at least it should, or even if it doesn’t, we still need it, because not to have it would just be… just be…

Not to have punishment would just be forgiveness.  “Who would have thought,” says Nowak, “That you could prove mathematically that, in a world where everybody is out for himself, the winning strategy is to be forgiving, and that those who cannot forgive can never win?”

HeartMath

The Institute of HeartMath has a similar intersection between “left-brain” approaches to knowledge and a “right-brain” subject – except the “right-brain” aspect, emotion, might not be in the brain after all.  As we explored in Listen to Your Heart-Brain, the heart has its own brain.  Neurocardiology looks at how our heart’s thoughts are communicated to the brain and the role that this plays in our thinking, our life, and even our health.  The relationship between stress and heart-attacks has been known for years, but this heart-health relationship is now being explored much more widely and in much more detail.  A healthy metaphorical heart, seat of love and emotions, is intimately tied together with a literally healthy heart.  We weren’t such fools, after all, all those years that we said the heart, not the brain, is the seat of emotion.

Much of the Institute’s work and focus is on individual health and helping individuals deal with their emotions – which is also, inevitably, helping individuals deal with their relationships.  We are too rooted in society, it turns out, to deal with each individual as a separate entity.  And our responses to each other are a crucial part of our health.  Interestingly, the Institute also soon addressed the subject of forgiveness.  A study compared the effect of feeling angry or caring towards other people, by measuring secretory immunoglobulin A (S-IgA).  This antibody is a major part of our immune system, and used to indicate our general immune functioning.  The higher your S-IgA levels, the stronger your immune system.


Anger, it turns out, has an immediate and negative effect on our own ability to fight disease and stay healthy.  Suddenly Michael Nowak’s mathematical findings start to make sense.  Punishment really does hurt us more than the person we punish, because our anger makes us vulnerable to disease and illness.  Forgiveness really is the way to win and those who don’t forgive can never win.

The HeartMath blog has plenty more to say about forgiveness, from the many ways it helps and heals your body, with everything from back pain to depression, and also how to find the capacity to forgive within ourselves, those things that help us let go of our grudges, our pain, and our bitterness, be that music, reflecting on our own faults and mistakes, remembering the feeling of being in love, or simply surrounding ourselves with beauty.

Whatever happened, whoever’s fault, it is time to forgive.  To move forward and evolve as a species, we need to take care of our hearts, we need to cooperate, and we need to forgive.  We cannot move from a fear-based, hate-based society into a society based on love without passing through that crucial arch, forgiveness.  And of all the virtues, the greatest of these is love.