The credibility of claims that mathematical calculation comes from brains is inversely proportional to the speed and capacity and reliability at which things can be calculated. There are numerous signal slowing factors in the brain, such as the relatively slow speed of dendrites, and the cumulative effect of synaptic delays in which signals have to travel over relatively slow chemical synapses (by far the most common type of synapse in the brain). As explained in my post here, such physical factors should cause brain signals to move at a typical speed very many times slower than the often cited figure of 100 meters per second: a sluggish "snail's pace" speed of only about a centimeter per second (about half an inch per second). Ordinary everyday evidence of very fast and accurate math calculation by unaided humans is therefore evidence against claims that unaided human math calculation occurs because of brain activity, particularly because the brain is totally lacking in the things humans add to constructed objects to allow fast recall (things such as sorting and addressing and indexes). Chemical synapses in the brain do not even reliably transmit signals. Scientific papers say that each time a signal is transmitted across a chemical synapse, it is transmitted with a reliability of 50% or less. (A paper states, "Several recent studies have documented the unreliability of central nervous system synapses: typically, a postsynaptic response is produced less than half of the time when a presynaptic nerve impulse arrives at a synapse." Another scientific paper says, "In the cortex, individual synapses seem to be extremely unreliable: the probability of transmitter release in response to a single action potential can be as low as 0.1 or lower.") The more evidence we have of very fast and very accurate calculation occurring by humans unaided by any devices, the stronger is the evidence against the claim that human math calculation occurs from brain activity.
It is therefore very important to collect and study all cases of exceptional human mathematics performance. The more such cases we find, and the more dramatic such cases are, the stronger is the case against the claim that unaided human math calculation is a neural phenomenon. Or to put it another way, the credibility of claims that math calculation is a brain phenomenon is inversely proportional to the speed and reliability of the best cases of human math performance. The more cases that can be found of humans that seem to calculate too quickly and too accurately for a noisy address-free brain to ever do, the stronger is the case that human thinking is not a neural phenomenon but instead a spiritual or psychic or metaphysical phenomenon. Let us look at some newspaper clips that document such cases.
Below is a quote from page 265 of the April 23, 1936 edition of the periodical Light, which you can read here:
"Quoting from the Portuguese journal, Constancia, the
Revive Spirite has a report of Moreira, the Blind Boy
of Lisbon. This 12-year-old boy, blind practically from
birth, of very rudimentary education and humble origin,
is another example of the child prodigy type and the
problem of supernormal faculties. He has repeatedly
been examined by groups of mathematical, medical and
psychological experts, sometimes for hours at a time,
during which he instantaneously supplied the answers
to lengthy mathematical problems, up to the multiplication of 21 digits by 15 digits; at the termination of the
test, he will even amaze his interlocutors by dictating a
long row of figures representing the sum of the total
answers previously given."
Below is a quote from the Omaha Morning Bee of May 12, 1924. We read of a young man with astonishing powers of calculation and memory:
"Maum Lotowsky, young Lithuanian student, has astonished Harvard, Tufts and Columbia universities. When told the date of a man’s birth he instantly calculates back and tells the man on what day of the week he was born, allowing for changes of the day each year and for leap years. He works out logarithmic numbers in his mind, after glancing at a long list of complicated figures repeats them without a mistake."
In the 19th newspaper account here, we have a similar account:
Here is another newspaper account of a math marvel, from the Topeka State Journal of November 16, 1912. The account says the man had these amazing powers despite a serious brain injury:
QUICK AT FIGURES
Ed Shaw Can Tell Seconds and Minutes Quickly.
But He Has to Husk Corn to Make Living.
Hutchinson. Kan.. Nov. 18.
Ed Shaw, Reno county's human lightning calculator, has worked out two new mathematical problems. Here they are:
"First when will we have the same number of seconds left in the year as are minutes gone in the year?
"Second when will there be the same number of minutes left in the
year as there are seconds gone in the month?"
Foolish waste of time, you say? Well, it s au a matter of taste. In
stead of worrying over election returns or checking golf scores, Mr. Shaw works out this kind of problems.
"I've figured it out," he said. "The answer to the first question is: The
25th of November, at 12 o'clock mid night. The answer to the second
question is: November 1, at 12 o'clock at night."
It's All in His Head.
Mr. Shaw doesn't use pencil and paper in doing mathematical stunts.
Everything is worked out in his head. Tell him how old you are and he'll tell you In a flash just how many days. hours, minutes and even seconds old you are. The reporter who wrote this article,
for instance, is one . billion, nine million, one hundred and fifty-two thousand seconds old. It took Ed Shaw just two seconds to calculate it.
Ed Shaw is a farm hand and common laborer. He makes a living working on farms around Hutchinson and Nickerson. His home is in Grant township northwest of the city. When he was a little over a year old he met with an accident which injured his head. Ever since then something has been wrong with his brain. Part of his brain evidently is overdeveloped, - giving him an abnormal
power of calculating. He Is a steady, intelligent and hard working man, respected by all.
Discovered Power as Boy.
"I first found out that I could do this kind of mental calculating when I was a boy 9 years old,'' said Mr. Shaw, today. "One night while I was . in bed I got to figuring out how many days old
I was. . I figured it out in my head. In the morning I told my mother and she got a paper and pencil and worked it out and found I had the right answer."
"As I got older the power developed until I could instantly multiply without figures, until now I can figure out any
sum. I can calculate down into the seconds any period of years."
"The late George Bidder, at the age of 8, could answer almost instantaneously how many farthings there were in any sum under £868,424,121. Zerah Colburn was another lightning calculator of the same generation. Once he was asked to name the square of 999,999, which he instantly stated to he 999,908,000,001. He multiplied this by 49j and the product by the same number, and the total result he then multiplied by 25. He could raise the figure 8 to the sixteenth power almost instantly and with perfect ease. lie once instantly named the factors of 941 and 263, and in five seconds calculated the cube root of 413,993,348,677. —St. Louis Republic.
The 1912 newspaper account below gives an obituary of Arthur F. Griffith of Milford, Indiana, USA.
"Without pencil or paper he could raise a figure to the sixth power in about eleven seconds: could multiply three figures by three figures in five seconds and could multiply nine figures by nine figures in eight seconds. As proof of his lightning calculating
system he once did the work of four teen clerks in the state auditor's office ... On three occasions, twice in Indianapolis, and once in Bloomington. Ill., he won races with adding machines.
In a test before professors at Harvard he answered every mathematical question propounded—the fabled
'fourth dimension" alone being barred. Problems that would require hours of figuring by most persons were solved in a few moments by Griffith. The answer to a problem like this would be at bis tongue's end; 'What is the compound interest on 1 cent at per cent from the birth of Christ to the present date, and how far would that many silver dollars reach in the air if placed flat and against each other on every square |foot of a clear and level tile floor 25.000 miles in circumference?' Questions such as this were regarded as 'light mental exercises' by Mr. Griffith."
In the newspaper account you can read here, we read of a math calculation marvel named George Parker Bidder:
"The late Mr. George Parker Bidder cultivated his
remarkable faculty to a highly useful purpose...At the age of ten
we read that he answered in two minutes the question: What is the
interest of 1444 for 4444 days at 4 per cent per annum ? ...
A year later he divided correctly less than a minute 468592413568
by 9076. At 12 years of age he answered in less than a minute the
question: if a distance of 99 inches is passed over in a second of time
how many inches will be passed
over in 365 [days] 5 [hours] 48 [minutes] 55 seconds]? Much
more surprising however was his success when 13 years old in dealing with the question: What is the cube
root Of 897,339,273,974,002,155? He
obtained the answer in 2 minutes : 964537."
The newspaper account here tells of the same George Parker Bidder:
The same newspaper account tells us this about Zerah Colburn:
Ever-prone to censor or distort in a way that prevents us from about learning correctly about phenomena that conflict with "brains make minds" ideology, Wikipedia gives us no details of Bidder's calculation powers, but merely tells us that in a book entitled "The Great Mental Calculators" Bidder was placed second, behind Jacques Inaudi. The Wikipedia article on Jacques Inaudi also tells us almost nothing about his astonishing mental calculation abilities, telling us little more than that "he could readily indicate the day of the week of any date from the 17th century onward."
The newspaper account here gives us details of the power of Jacques Inaudi when he was only a boy of 11:
"Jacques Inaudi is advertised in Paris as a little prodigy. He is 11 years old and a lightning calculator. The first task that he was asked to perform was a subtraction sum, and when eight figures had been
given out some of the audience, fearing that his brain would be too heavily burdened, called out, 'That is enough!' Inaudi, however, immediately replied, 'It does not matter. Give me some more,'
and he had accordingly to subtract one line of fifteen figures from another of the same number, giving the result of
the operation without any appreciable delay. One of the spectators, advanced in years, put the following query to the 'calculating boy':
'I am twenty days less than 80 years old. How many hours have I lived?' After devoting about a minute to the mental
calculator, Inaudi gave the answer as 753,306 hours, which proved correct. He was then made to do multiplication and
division sums, with lines of figures to trillions and quadrillions, and always worked them out ' in his head' without the
slightest mistake or stumble. Among his other trials was the solution of a simple equation. A gentleman asked, ' If to my present age I added a third of my age and six years more I should be a hundred and twenty-six years old ; what is my age?' Inaudi replied, 'Oh, that is easy enough ; you are ninety." Some body else asked him the cube root of 39,304, and, with scarcely a moment's hesitation, he answered, 'thirty-four.' "
In the newspaper account you can read here, we read of a math calculation marvel named Jedediah Buxton:
"Jedediah Buxton was another prodigious calculator more
remarkable in some respects than
either Colburn or Bidder. He never learned to write and in other
branches of education was as back ward as a boy of 10 while his mental faculties were slow saving always his faculty of calculation. So completely was he absorbed in his theme that he took little cognizance of external objects save as they suggested themselves. Thus if a period of time or the age of a man were spoken of Buxton at once announced that that made so many seconds and a distance
was to him so many hair-breadths. By walking over the fields of Sir
John Rhodes lordship of Elinton his step was as infallible as a surveyors chain. Buxton gave the proprietor their contents of some
thousands of acres first in acres then in roods, perches, square feet
square inches, and finally in square hair-breadths, forty eight to each
side of an inch. He had the faculty of being able to rest a calculation at any stage and take it up next morning a week later or after a lapse of months. He could number all the pints of beer he had ever drunk at all the houses he had ever visited in half a century.
Among the problems given him to solve were such as this: How many cubical eighths of an inch are there in a quadrangular mass 23145789 yards long 5642732 yards wide and 54966
yards thick an appalling calculation which he performed
mentally. Once he set himself to doubling a farthing 140 times and
on another occasion he made him self in his own phrase drunk
with reckoning by calculating how many hairs an inch long and
how many grains of eight different sorts of cereals there were in a mass of 200000000000 cubic miles having previously counted the hairs and grains in a single inch to get his point of departure. What was most curious about Buxton perhaps was his capacity for carrying on these calculations while conversing or listening "
"Ho had a remarkable memory, and while In the midst of a problem he could desist and resume the operation again where ho had left off, even if it were n year after. A remarkable thing about the man was that he would allow two persons to propose different problems at the same time, and he would answer each without the least confusion. He could also talk freely while working out his problems."