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Hello, and welcome to Western Sieve
Episode two hundred and sixty three Facts and

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Experiments. In our last three episodes, we took a look at the beginning

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of the scientific revolution by examining first
the nature of discovery, then how Europeans

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changed their views of our planet,
and finally how math, for really the

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first time in history, started to
become an essential and independent branch of science,

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from perspective painting to ballistics. No
one doubted in sixteen hundred how important

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mathematics had become to humans existence.
But if the revolution begun by the mathematicians

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was to be successful, it needed
to identify other ways of establishing and communicating

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universal truths, and that is what
we will be covering today. One day

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early in sixteen ten, Johannes Kepler
was walking across a bridge in Prague when

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a few snowflakes settled upon his coat. Watching them, Kepler evidently grasped two

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things more or less simultaneously. Each
snowflake was unique, but they were all

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like, and that they were all
six cornered. This got Kepler thinking about

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two dimensional six cornered shapes and how
they formed. A latis, the cells

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of a honeycomb or seeds of a
pomegranate, and about how the only shapes

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that one can use to tile a
floor if all the tiles are the same

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triangles, squares, and hexagons,
And about the patterns you can make if

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you pile cannonballs on top of one
another. Kepler thought he could work out

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the most space saving way of piling
spheres. His claim would later become known

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as the Kepler conjecture, and was
finally proven true for any regular latise in

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eighteen thirty one and for any possible
arrangement of spheres in nineteen ninety eight.

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For Kepler, this was applied mathematics. Like Galileo, Kepler believed that nature

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was based in geometry. If God
was a mathematician and phooka to out that,

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then one would expect to find math
everywhere, from the organization of our

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solar system to the smallest snowflake.
Math. In this case, geometry has

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to be there. We're going to
go more in detail into Galileo a little

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bit later on, but to get
to the idea of experimentation and fact,

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here's a quick overview. The story
of Galileo's discoveries is straightforward. In sixteen

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o eight, the telescope was invented
in the Netherlands as sort of a chance

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discovery. Galileo's first telescope had a
usable magnification of eight times by the beginning

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of six ten, and eventually he
managed to produce one that had a magnification

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of thirty times, with which he
could begin to explore the heavens. There's

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a standard phrase used over and over
again in literature. Quote Galileo turned his

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telescope to the heavens end quote,
of course he did same thing, or

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going on in England, where another
astronomer named Harriet did the same thing four

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months before Galileo, and his first
telescope had a magnification of six times.

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The puzzle lies in the enormous effort
that Galileo put into improving his telescope,

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grinding on his own equipment two hundred
lenses in order to end up with ten

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telescopes with a magnification of twenty times
or better. For what is strange about

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these ten telescopes is that they're too
good for their obvious military use. Their

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filled of view was tiny. Galileo
could only see a small part of the

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Moon at one time. Held with
two hands, they shook and wobbled so

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that anything you looked at kept slipping
out of the field of view. He

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realized some sort of tripod or mount
was essential. It is important here for

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a moment to distinguish between the impact
of the telescope and the microscope. The

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two are basically the same thing.
So as soon as Galileo had a telescope,

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he could use it to study flies. For example. He later devised

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a better tabletop instrument and studied how
flies could climb up glass. But the

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first publication to represent who could be
seen through a microscope, a single broadsheet

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which was entitled the Apareum about Bees
in honor of Pope Urban the Eighth didn't

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appear until sixteen twenty five, and
the first major publication was called Micrographia,

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and that wasn't published until sixteen sixty
five. It's interesting because the telescope,

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on the other hand, transformed astronomy
almost overnight, while the microscope was slow

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to be adopted and actually, toward
the end of the century, quick to

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be abandoned. The reason for this, I think is simple. There was

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an established body of astronomical theory,
and what was seen with the telescope was

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at odds with it. Astronomers could
scarcely dispute the relevancy of the telescope to

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their studies, but the microscope brought
into view a world that was previously unknown.

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It was how to establish how the
new information it produced related to established

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knowledge. The telescope addressed directly issues
that were already under discussion. The microscope,

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on the other hand, opened up
new lines of inquiry whose relevancy to

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current concerns wasn't as obvious. A
microscope simply isn't as helpful when you're trying

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to cite your cannonballs. That the
telescope flourished and the microscope languished is one

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of the signs that the scientific revolution
can be properly understood as a revolution,

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a revolt against the previous order.
I think that's something that I've come back

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to every episode in this whether we're
talking about math or the planet Earth.

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The reality is the scientific revolution is
a revolution because it's a rejection of what

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we're thousands upon thousands of years of
assumed knowledge. Both the telescope and the

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microscope produced new knowledge, but in
the seventeenth century only the telescope directly endangered

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the existing order. When Galileo pointed
his improved telescope at the Moon in sixteen

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o nine, he spotted something much
more striking than he had seen before.

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Where there should have been light on
the surface of the Moon, there was

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darkness, and vice versa. What
Galileo realized immediately was that the Moon wasn't

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flat, not flat at all,
which had previously been taken for granted.

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There were mountains and craters. The
Moon, in other words, was much

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more like our planet Earth than we
had previously thought. And it just so

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happened that in England the astronomer Harriot
had seen exactly what Galileo had seen.

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We have a sketch that he drew
on the twenty sixth of July sixteen o

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nine. Looking at it, it's
perfectly clear that the terminator, that is,

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the part where you can see light, is not regular. It's irregular.

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This is confirmed in another sketch by
the same man, dated the seventeenth

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of July sixteen ten. The difference
is by the time of the second sketch,

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Harriet had read Galileo's Starry Messenger,
which had been published in the spring.

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Now, looking at it from Galileo's
perspective, he saw exactly what Galileo

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had seen. It seems clear that
what he was doing was comparing Galileo's illustration

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with what he could see through his
telescope, for both Galileo's illustration and Harriet's

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illustration feature a large circular shape.
In fact, there's no such prominent object

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on the Moon, and scholars have
suggested that Galileo did lively enlarged a crater

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to enable the viewer to, as
it were, zoom in. Harriet,

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looking at the Moon, saw the
same the highlights and shadows, the mountain

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ranges, the valleys that Galileo described, and he also convinced himself that he

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had seen Galileo's imaginary crater. Once
Galileo had described what he had seen,

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once he had trained viewers on how
to look, it was almost impossible to

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dispute that the Moon had mountains and
valleys, even one that didn't really exist.

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Of course, all this paled in
comparison to the revelations that lie ahead.

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In October sixteen eleven, Galileo came
to the conclusion that one could predict

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the location and movement of the heavens, and one could do it with much

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greater accuracy than had been hitherto thought. By this point, Galileo realized Venus

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had phases, and that these phases
were totally incompatible with ptolemaic astronomy, which

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assumed Venus had to orbit around the
Earth. Looking at these phases, Galileo

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realized Venus absolutely had to orbit around
the Sun. Early the following year,

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when Galileo told a prominent group of
Jesuit astronomers about this discovery and they confirmed

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it, they threw him a party. Not everyone, as we will see,

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even within the Church was hostile to
new ideas about the universe. Just

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some people, But make no mistake, after sixteen eleven sixteen twelve, the

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ptolemaic conception of the universe had been
fatally wounded. Interestingly enough, Galileo's discovery

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also marked the first time in the
history of the world. In sixteen twenty

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eight, Francis Goodwin published the first
ever work of science fiction, titled The

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Man in the Moon. Later on, these mathematical innovations would lead to the

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creation of the metric system in the
early eighteenth century, so that scientists could

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consistently measure and explain their new discoveries. Previously, historians thought that Copernicus was

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responsible for the destruction of the correspondence
between the microcosm and the macrocosm. This

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is a mistake. There was only
one small major shift in copernicus universe.

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The stars were required to be at
a vast distance from the Solar System,

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given that there was no measurable change
in their relationship to each other in the

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sky, while the Earth orbited the
Sun in the course of a year,

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and consequently they must be very big
if they're not invisible. But the Sun

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and the planets remained the same size, and Copernicus still continued. It seems

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to believe that the universe consisted of
nested spheres, which was ptolemaic. Kapernicus

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universe was no longer Earth centered,
but it was Earth friendly, and there

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was no reason to think that it
was not the product of benevolent design.

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There was nothing in his argument that
might imply that Earth was just another planet,

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or that the universe had not been
created for the benefit of human beings.

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The universe had a center, and
the Sun and the Earth were still

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unique objects. The key change occurred
in sixteen o eight with the invention of

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the telescope and the microscope. Before
sixteen o eight, the standard scientific instruments

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crossed apps, Astra labs and so
forth were all designed to make naked eye

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measurements of degrees of the circle.
Even the vast sextants and quadrants built by

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Tico Brahe were simply in large sighting
devices. These instruments were really no different

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in principle than those used by Ptolemy, and although by making parallax investigations of

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the comet and stars they could be
used to undermine traditional belief in translucent spheres

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that supported all the planets, as
was still accepted by Copernicus, they reinforced

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the assumption that human beings were the
perfect observers of the cosmos, and the

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cosmos itself was designed to support human
life. But after sixteen o eight,

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a new range of instruments made the
invisible visible. The thermometer sixteen eleven and

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barometer sixteen forty three made it possible
to see temperature and air pressure for the

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first time. All of these intellectual
changes have consequences. The discovery of America

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killed off the two sphere theory of
the Earth. Copernicanism led to the belief

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that the planet shined by reflecting light, which was confirmed by the discovery of

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the phases of Venus, and this
would kill off the Ptolemaic system. But

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the phases of Venus, which is
what really kills off the Ptolemaic system,

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was only made possible because of the
telescope. Innovation and invention changed the conception

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of the universe. The reality is
Totolemaic astronomy was unaffected by Copernicus. Certainly,

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it went into crisis when the star
was discovered in fifteen seventy two,

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but by the end of the sixteenth
century it had fully recovered. The telescope,

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on the other hand, brought about
its immediate and irreversible collapse. And

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this is another fascinating point about the
scientific revolution. Once mankind figured out that

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it could look to the hea,
what it decided to do was find new,

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innovative and better ways of doing so, and that brings about a further

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shift in consciousness, which brings about
more investigation. In other words, for

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the first time, as we're going
to see, humankind is starting to experiment

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with science, and that experimentation is
going to blow the lid off everything medieval

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Europe believed. We take facts for
granted. Nowadays, there have been few

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attempts to rate the history of facts, and all of them are frankly terrible.

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Yet our culture is as dependent on
facts as it is on crude oil.

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It's almost impossible to imagine doing without
facts. And yet there was a

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time when facts didn't exist. What
did the map of knowledge look like before

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the invention of the fact. On
the one hand, there was truth on

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the other, opinion on the other
hand, There was knowledge. On the

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other there was experience. On the
one hand, there was proof. On

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the other there was persuasion. Opinion, experience, persuasion. All of these

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were necessarily unreliable and unsatisfactory. Knowledge
had to be built on firmer foundations.

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The story of the fact is a
story in which the lowest and most unreliable

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form of knowledge was magically transformed into
the highest and most reliable. What we're

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concerned with here is what the Oxford
English Dictionary lists as fact quote A thing

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that has really occurred or is actually
the case end quote. Although dictionaries don't

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distinguish clearly enough between an agency of
a fact something that has occurred because someone

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has done it, and an impersonal
idea of fact something that has occurred in

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the course of nature. How did
you refer to this something? Before facts

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were invented? In Greek there was
the phenomenon, But phenomenon were malleable.

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They could be saved or solved,
while facts are stubborn. In Latin,

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there is the thing rests. The
Romans said race ipsilocuter, which means the

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facts speak for themselves. Of course, when they wrote this, there was

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no such word as fact in English. Before the fact there were particulars.

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Phenomenon are too subjective, They are
appearances, not realities. Things in particulars

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are too much in the real world. None of them corresponds to that peculiar

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blend of reality and thought, which
is the fact. This peculiar blend is

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what some have referred to when describing
facts as linguistic but claiming to be copies

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of the real. In a society
becoming increasingly interested in experience, it should

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come as no surprise that the term
fact was taking on a new significance.

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Facts identify a type of knowledge which
is grounded in experience. Whereas before Europeans

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might have obsessed about relations of ideas, now they wanted matters of fact.

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In fact pun intended, Hume indicated
the distinction between relationships and ideas and matters

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of fact was fundamentally the intellectual conflict
that gives rise to the Scientific Revolution.

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Amazingly to us today, before the
Scientific Revolution, facts were few and far

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between. They had to be handmade
for example, they were hard to distribute,

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and they were unreliable. A good
instance of this is just simply the

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fact that prior to eighteen o one, it's impossible for us to say from

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a historical perspective. Even though we
have a lot of facts about the industrialized

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West before eighteen o one, we
cannot definitively say what the population of Great

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Britain was. Crucially, facts are
not only established, they can be disestablished.

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A fact can be confirmed by experience, and that it can be refuted

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by experience. When and where was
the language of the fact invented? Only

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quite recently historians thought there was a
straightforward answer to this question. Francis Bacon

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invented the fact. From Bacon,
the fact entered the English language and was

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adopted by the Royal Society. So
historians started to write about seriously quote Baconian

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facts end quote. English philosophy has
always been thought to be almost peculiarly empiricist,

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and therefore it made sense that on
this count England would have created and

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invented the culture of the fact.
Unfortunately, this story, as with most

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straightforward answers, is just way too
simplistic to be accurate. The fact doesn't

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belong to the English language. Galileo
and his correspondence happily discussed facts, but

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there are Italian usages from much earlier, from the fifteen seventies. According to

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established scholarship, the French discovered the
New World only in the sixteen sixties,

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but Montague used the word fact fact
to mean fact no less than five times,

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one of which actually dates from as
early as fifteen eighty, well before

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the sixteen sixties. When it comes
to linguistics, you really have to get

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the initial usage, which it turns
out is a lot earlier than what we

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thought. In fact, the word
fact itself doesn't come from Bacon. He

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never uses the word in its modern
meaning in English. He uses factum three

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or four times in print. The
man with the stronger claim to the word

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fact is Thomas Hobbs. He uses
the word in Elements of Law, Natural

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and Politic, written in sixteen forty
but not published until sixteen fifty. Of

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course, there were facts, as
I mentioned, in Italian, French,

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and Latin, long before there were
facts in English. The word fact only

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becomes more respectable in English after sixteen
sixty one. And again here the printing

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press is extremely important. The printing
press made facts. According to one historian,

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Harder before printing facts were too soft, they were too malleable. What

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made the scientific revolution, this historian
argues, is not the experimental method or

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commercial society, both of those have
been around for centuries, but again the

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printing press, which turned private information
into public knowledge, private experience into communal

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experience. For my case, I
don't think that this takes the argument far

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enough. The printing press didn't necessarily
make facts stronger. It made them outside

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a very few specialized fields possible.
Without the printing press, I'm not sure

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the modern conception of fact ever comes
into being, because you just can't disseminate

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enough knowledge along enough of the population. Just isn't going to work, not

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without the way to mass produce facts. And the printing press allowed for the

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mass production of facts in the way
that the factory system is going to allow

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for the mass production of Model T
cars. Later on, Guttenberg's Bible was

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completed in fourteen fifty four or fourteen
fifty five. That was, of course

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a watershed moment. But consider this
when a major comment passed by Earth in

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fifteen seventy seven, thanks to the
printing press, which had now been operation

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for at least twenty two years,
more than one hundred and eighty publications debated

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the meaning of its existence. Thus, the printing press took astronomers and astrologers

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scientists from two different fields, and
put them together to exchange ideas. Thus

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was the power of printing. Book
Fairs then accelerated the growth in the international

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trade of books. Books strengthened innovation, making it possible for innovators to work

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together and pool ideas. It made
it possible to attack the monopoly of information

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previously held only by the universities.
And of course, what I mean by

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that is that prior to the printing
press, very few people had access to

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ideas and to education. Those with
previous access had a vested interest in protecting

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that access. The printing press democratized
this information and eliminated this monopoly. The

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printing press also created a sort of
intellectual arms race, kings and queens needed

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these new weapons. They needed to
be the first to discover a new land

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and use a new navigational system.
This competition would go a long way to

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fuel the incessant wars of the seventeenth
and eighteenth centuries, but would also transform

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Europe into the world's dominant continent for
centuries. But if there are now facts,

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then Europeans needed a way to test
those facts. We call that process

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today experimentation. The first proper experiment
in European history that we know of,

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took place on September nineteenth, sixteen
forty eight, and was performed by Florin

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Perrier, a French scientist and actually
brother in law to Blaze Pascal. He

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used a sealed tube and mercury to
study changes in air pressure and density based

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on height. To be a proper
experiment, you need one a carefully designed

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procedure, two verification i e.
Onlookers, three repetition, four independent replication,

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and five result dissemination. Harrier was
the first to combine all these facts

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ors in his altitude experiment. Now, certainly philosophers had tested theories before.

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Ptolemy and Galen did so centuries earlier, and the Great Arab scientist Ibn al

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Hayafen had done some rudimentary experiments in
the eleventh century. The puzzle was not

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whether there was any experimentation prior to
the scientific Revolution, but why there was

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so little. One reason is that
experimentation required manual labor, and the reality

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was Medieval and Renaissance culture was resistant
to physical work. This only starts to

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change in the mid to late fifteenth
century. Second, again, the emphasis

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in medieval Europe was on Aristotelian logic
and using logic to prove points. Before

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the fifteenth century, it was assumed
there was no need to physically test something.

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You could prove it true or false
based on argument and reason. Third,

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experimentation requires one to move back and
forth between concrete facts on the one

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hand, and abstract theory and hypothesis
on the other. Experimentation requires a balancing

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act between platonic idealism and crude empiricism. You need to be able to make

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the claim that general conclusions can be
drawn from specific examples. Europeans simply weren't

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accustomed to doing this before the fifteenth
century. Finally, as we have already

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covered, there was no culture of
discovery in the Middle Ages, so what

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would be the point in experimentation.
Society was entirely backward looking. And I

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cannot stress this enough. I know
that it's I keep repeating it over and

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over again, but it's so important
that prior to let's say, the late

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fifteenth century, European society had its
head turned backwards. They were always looking

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to the glories of the past.
After the end of the fifteenth century,

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that's when the idea of progress and
looking forward becomes the new year European mindset.

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And that, my friends, is
an amazing and important shift. Even

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Arab scientists, certainly the most advanced
in the High Middle Ages, struggled to

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make discoveries somehow fit into their past
based cultures. The first major field for

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experimental inquiry in the early modern period
was with the magnet and navigation. This

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was an easy starting point for Europeans
because there was no such thing as the

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compass in the ancient world, so
clearly one couldn't look to Ptolemay for help.

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Plus, the compass and the magnet
were essential in navigation, which suddenly

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everyone cared a lot about, giving
the economics. By fifteen twenty two,

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Sebastian Cabot, who sailed from England
to Nova Scotia realized that magnets do not

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point true north, but rather east
or west of true north, depending on

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where you were in the globe.
This was a crucial discovery because now,

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depending on the level of variation in
your compass, you could use it to

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determine longitude. Hence, experimentation in
that case led to a novel discovery.

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All right, now that we've covered
some of the basics of the early scientific

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Revolution, I want to take a
look at two key figures from that period,

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Copernicus and Galileo. Copernicus because he's
arguably the father of modern astronomy,

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though that award might fairly go to
Tico Brahe. Galileo because he gets us

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into the history of the reaction to
the scientific Revolution, which of course there

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was that brings the church an inquisition
onto the board end. You know,

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I can't wait to talk about that
knee interim. If you'd like some more

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00:30:53.799 --> 00:30:57.319
content, check out the links in
the show notes. Got two down there

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00:30:57.359 --> 00:31:00.640
for two seven day free trials.
The Westerns of two point zero and the

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00:31:00.680 --> 00:31:06.279
Patreon account both offer that option.
Now, if you're looking for additional ways

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00:31:06.319 --> 00:31:08.880
to support the program. The other
thing that's there is the link to the

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00:31:10.039 --> 00:31:15.440
website. If you would just like
some additional stuff, go ahead and check

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00:31:15.480 --> 00:31:15.759
it out.

