
René Marois from the Center for Integrative and Cognitive Neurosciences at Vanderbilt Vision Research Center states in a recent paper In a human, there are more than 125 trillion synapses just in the cerebral cortex alone

Professor of Molecular Cellular Physiology at Stanford Stephen Smith says in a press release on brain imaging that Your brain contains 100 billion neurons and 10,000 times as many connections Professor of Computational Neuroscience at MIT Sebastung Seung says in a TED talk How many neurons and connections there are in the brain? This is kind of a tricky question and I am not a nuerobiologist so I have gone to several resources for the answer. Lets answer the question using the 'average' number of connections per cubic millimeter. So I looked up some numbers on how many neurons are in the brain, how many connections are in the brain, and how many stars are in the Milky Way. Given this fact, we can very easily answer this question with a resounding no, however, this seems like an unsatisfactory trite approach.

Thus if you picked a random cubic millimeter of brain you could run right into the heart of a neuron and you would find very few connections. First, I know that there are different kinds of neurons that vary in size and that some neurons can have a soma (the big part that has the nucleus from which the dendrites extend) spanning a millimeter in size. In reality mapping even an entire cubic millimeter of the brain is an extremely daunting task, but we can still answer my original question.
