Lecture2 part2 video
Summary
TLDRThis lecture delves into the contributions of ancient Greek astronomers to modern science. It highlights their systematic approach to building and testing models based on observations, emphasizing the importance of logic and mathematics in their methodology. The Greeks' belief in a geocentric universe is discussed, along with their accurate calculations of the Earth's size and the relative sizes and distances of celestial bodies. The lecture also touches on the concept of parallax and its influence on the geocentric model, leading to the development of the complex Ptolemaic system. It sets the stage for future discussions on the transition to the heliocentric model and the scientific revolution in Europe.
Takeaways
- π Ancient Greek astronomers laid the groundwork for modern science by creating models based on observations and systematically testing them.
- π They used logic and mathematics, especially the latter, to understand the universe, believing in the perfection of shapes like the sphere for celestial bodies.
- π Pythagoras and Aristotle contributed to the understanding that the Earth is spherical, with Aristotle providing observational evidence like the shadow during a lunar eclipse.
- π The Greeks were the first to estimate the size of the Earth, the Moon, and the Sun, and the distances between them, with remarkable accuracy for their time.
- π They believed in a geocentric model where the Earth was at the center of the universe, influenced by their inability to observe stellar parallax with the naked eye.
- π The Greeks, particularly Claudius Ptolemy, developed complex models involving epicycles to explain the retrograde motion of planets, which were later used for over a millennium.
- π Despite the fall of the Greek Empire, their astronomical knowledge was preserved and advanced by Islamic and Asian scholars during Europe's Dark Ages.
- π The Ptolemaic model was eventually challenged by the simplicity of the heliocentric model, leading to a scientific revolution in Europe during the Renaissance and Enlightenment.
- π The transition from a geocentric to a heliocentric model was a significant shift in understanding the cosmos, marking a major advancement in the history of science.
- π¬ The script highlights the importance of scientific methodology and the iterative process of model-building and testing, which is fundamental to scientific progress.
Q & A
What was the primary method ancient Greek astronomers used to study the universe?
-Ancient Greek astronomers built models based on their observations and tested those models systematically against what they could see in the sky.
Why is the focus on ancient Greek astronomers in the study of astronomy?
-Ancient Greek astronomy laid the foundations of modern science, emphasizing logic and mathematics, particularly the use of systematic observation and testing.
What were the limitations of ancient Greek astronomers in their observations?
-Ancient Greek astronomers were limited to naked-eye observations and did not have telescopes, which restricted their understanding of certain astronomical phenomena.
Who was Pythagoras and what was his contribution to the understanding of Earth's shape?
-Pythagoras was a Greek philosopher who led a mathematical cult and propagated the idea that the Earth was round, believing the sphere to be a perfect shape.
How did Aristotle support the idea that the Earth is spherical?
-Aristotle used naked-eye observations such as the round shadow of the Earth during a partial lunar eclipse, the varying visibility of stars at different locations, and the way ships disappear over the horizon to support the spherical Earth theory.
What was the significance of Aristarchus's contributions to astronomy?
-Aristarchus, around 300 BC, figured out the relative sizes of the Earth, Moon, and Sun, and their distances from each other, which was a significant step in understanding the scale of the solar system.
How did Eratosthenes measure the Earth's size and what was his result?
-Eratosthenes measured the Earth's size by observing the shadow cast by a stake at different places on Earth and calculating the distance between those places. He obtained a value close to the actual size, about 27,500 miles.
Why did the Greeks believe in a geocentric solar system?
-The Greeks believed in a geocentric solar system because they did not observe parallax, which they expected if the Earth was moving around the Sun. They were unaware of the vast scale of the universe and the distances to the stars.
What was the significance of the parallax argument in the geocentric model of the Greeks?
-The parallax argument was significant because the lack of observable parallax in the positions of stars relative to each other led the Greeks to conclude that the Earth must be stationary at the center of the universe.
How did Ptolemy's model of the solar system explain the retrograde motion of planets?
-Ptolemy's model explained the retrograde motion of planets by suggesting that planets moved in epicyclesβsmall loops superimposed on larger orbits around the Earthβwhich accounted for their apparent backward motion in the sky.
What was the ultimate fate of Ptolemy's model in the history of astronomy?
-Ptolemy's model was used for over 1,500 years until it was replaced by the heliocentric model during the scientific revolution, which better explained the observed motions of celestial bodies without the complexity of epicycles.
Outlines
π Ancient Greek Astronomy and the Foundations of Science
This paragraph introduces the focus on ancient Greek astronomers and their significant contributions to the field of astronomy. It explains that their methods of observation, logical reasoning, and mathematical modeling laid the groundwork for modern scientific practices. The Greeks are noted for their systematic approach to testing models against observable phenomena, despite being limited to naked-eye observations. The paragraph also highlights the Greeks' love for mathematics and logic, which played a crucial role in their scientific methodology. The contributions of Pythagoras and Aristotle are mentioned, with Pythagoras advocating for a spherical Earth due to its perfection, and Aristotle providing observational evidence to support this idea.
π Understanding Earth's Sphericity and Size
The second paragraph delves into how the Greeks determined the Earth's sphericity and calculated its size. It discusses the use of lunar eclipses, the visibility of stars at different locations, and the disappearance of ships over the horizon as evidence for a round Earth. The paragraph then describes the work of Aristarchus and Eratosthenes, who calculated the relative sizes of celestial bodies and the Earth's diameter, respectively. Their methods involved angular measurements and observations of shadows, leading to remarkably accurate estimates of the Earth's size and the distances to the Moon and Sun.
π Geocentrism and the Parallax Argument
This section explores the Greek belief in a geocentric solar system, where the Earth was considered the center of the universe. It explains the concept of parallax and how the Greeks used it to argue against a heliocentric model. They observed no parallax in the stars, leading them to conclude that the Earth must be stationary. The paragraph also touches on the debate between Aristarchus, who suggested the Sun as the center, and other Greeks who countered with the lack of observable parallax. The Greeks' misunderstanding of the vastness of the universe and the limitations of naked-eye observations are highlighted as reasons for their geocentric model.
πͺ The Complex Model of the Geocentric Universe
The fourth paragraph discusses the complexities of the geocentric model developed by the Greeks to explain the observed motions of the planets. It details the challenges in creating a model that aligns with the observed retrograde motion of planets. The Greeks, believing in a geocentric system, devised a model involving epicyclesβsmall loops that planets made while attached to larger spheres rotating around the Earth. This model, although incorrect, was able to predict planetary positions accurately and was used for over 1,500 years until it was replaced by simpler models that better matched observations.
π The Legacy of Greek Astronomy and the Dawn of the Scientific Revolution
The final paragraph reflects on the enduring impact of Greek astronomical models and the eventual transition to more accurate understandings of the universe. It mentions the fall of the Greek model under Occam's razor, which favors simplicity in explanations. The paragraph also discusses the preservation of Greek knowledge by Islamic and Asian scholars during Europe's Dark Ages and the eventual Renaissance and Enlightenment in Europe, which saw a revival and advancement of scientific learning. The anticipation is set for the next lecture, which will cover the scientific revolution and the shift from the geocentric to the heliocentric model of the solar system.
Mindmap
Keywords
π‘Ancient Greek astronomers
π‘Naked eye observations
π‘Logic and mathematics
π‘Pythagoras
π‘Aristotle
π‘Aristarchus
π‘Eratosthenes
π‘Geocentric model
π‘Parallax
π‘Epicycles
π‘Ptolemy
Highlights
Ancient Greek astronomers laid the foundations of modern science by building models based on observations and testing them systematically.
Greeks were limited to naked-eye observations, leading to certain beliefs that were later proven incorrect with the advent of telescopes.
Ancient Greeks were heavily invested in logic and mathematics, particularly in the field of astronomy.
Pythagoras, known for the Pythagorean theorem, led a mathematical cult and believed in a spherical Earth due to its perfection.
Aristotle supported the spherical Earth theory with observations like the round shadow during a lunar eclipse.
Different stars visible at different locations on Earth further supported the spherical Earth theory.
The disappearance of a boat's hull before its mast as it sails away suggested a curved Earth to the Greeks.
The Greeks accurately determined the Earth was round long before the common misconception of a flat Earth belief.
Aristarchus of Samos calculated the relative sizes of the Earth, Moon, and Sun, and their distances from one another.
Eratosthenes measured the Earth's size and diameter with remarkable accuracy for his time.
The Greeks believed in a geocentric model where the Earth was the center of the universe, influenced by the lack of observable parallax.
The concept of parallax, crucial for depth perception, was misunderstood by the Greeks in the context of the Earth's position in the solar system.
The lack of observable parallax led the Greeks to conclude the Earth was stationary, which was incorrect due to the vast scale of the universe.
The Greeks' geocentric model was challenged by the observed retrograde motion of planets.
Cleomedes proposed a model with epicycles to explain the retrograde motion of planets in a geocentric system.
Ptolemy's model, though complex, was used for 1500 years due to its predictive accuracy despite being based on a geocentric view.
The fall of the Greek Empire and the subsequent Dark Ages in Europe led to a loss of scientific knowledge, preserved elsewhere.
The Renaissance and Enlightenment in Europe marked a resurgence of scientific learning, including advancements in astronomy.
Transcripts
hello everyone and welcome to part two
of lecture two now in this part of this
lecture we're gonna be talking about
what the ancient Greek astronomers
worked now ancient Greek astronomers
were not the only people doing astronomy
but there is a reason why we're gonna
focus on them
ancient Greek astronomy built the
foundations of modern science what they
were using what they were doing was
building models based on their
observations and then testing those
models in a systematic way against what
they could see in the sky so basically
what they did was they looked at what
happens in the sky and they tried to
figure out why it was happening and
predict what would happen in the future
that is science as in science is now
they were limited to naked eye
observations so they did not have
telescopes and because of that there are
certain things that they believed that
makes sense given what they could see
but today we don't believe it's true all
right but they were also and this is a
big part of why we talk about the Greeks
and science Greeks of science were huge
into logic and mathematics especially
mathematics they loved math for the
Greeks mathematics was actually kind of
literally religious now what their their
methodology how they went about study in
the universe is actually as important as
the discoveries they made themselves
some of their quote-unquote discoveries
turns out today we know are wrong but a
lot of them are just facts so what were
the Greeks up to well as far back as 500
BC Pythagoras ooh that's a name you
might recognize of Pythagorean theorem
Fame Pythagoras who actually led a
a mathematical cult it was literally a
cult Greeks were really really into math
Pythagoras believed and propagated the
idea that the earth was round okay a
spherical earth and he basically
believed this because he believed the
sphere was a perfect shape a perfect
shape a sphere is a very simple
construct it only all you really needed
to describe a sphere is a radius it's
very simple and for that reason he
thought it was kind of the perfect shape
and because of that he thought that the
gods would use a perfect shape making a
world so he thought that world was round
now a couple hundred years later
Aristotle another pretty famous name
actually put forward a series of naked
eye observation so no telescopes
involved that supported the idea of the
earth is actually spherical in shape so
first of all if you watch a partial
lunar eclipse so this is when the Moon
moves into the Earth's shadow if you
actually just watch it and draw the moon
every say 15 minutes and then you stack
those drawings on top of each other like
this what you see is the shape of the
Earth shadow the shape of the Earth
shadow is round so yeah what kind of
object projects a round shadow well a
sphere would there are also other
observations that Aristotle laid out for
example he pointed out that at different
spots on the earth you can see different
stars so for example if you're here at
position Y your horizon looks like this
so anything below that horizon you can't
see because it would be like looking out
go outside tonight look out at your
street anything that's below the ground
would be below your horizon you can't
see it it hasn't risen yet but if your
position X here well your horizon looks
like this which means that you can see
this star where is that why you
can't that only works that the earth is
round
okay furthermore like if you literally
the Greeks were people who had votes if
you watch a boat sail over the horizon
the bottom of the boat the hole
disappears first and the mast the top of
the sails disappear last it only happens
if you're going over a curved surface
okay if you're going over a curved
surface so fine I want to make it clear
that if people tell you that people used
to believe the earth was flat that's
actually not really true as far back as
the Greeks people have known the earth
is round
it's sphere
now the size of the earth how big the
earth is well that was actually also
figured out by the Greeks but actually
the first thing they figured out was
actually how big the earth is relative
to the moon and the Sun okay so they
actually figured out
Aristarchus Aristarchus okay like 300 BC
figured out how big the earth was
compared to the moon and compared to the
Sun so the Greeks actually understood
that the moon is one quarter of the
Earth's size and the Sun is a hundred
times the earth size in in diameter and
they also understood that how far apart
the earth the moon and the earth and the
Sun were in fact about seventy-five
years after Aristarchus figured out the
relative sizes a Greek name a Rasta
knees actually measured the size of the
earth and once they knew the size of the
earth they then knew the size of the
moon and the Sun and how far apart they
were in literal terms and they wouldn't
have used miles but you know something
like miles okay
the way you do the relative sizes and
distances I don't want to get into too
much depth about this but they use
angular sizes in the sky right or
something is far farther away from you
it looks smaller if it's closer to you
it looks bigger this is angular size how
big it looks in the sky melted how far
away it is in any case you can use these
kinds of angular measures to figure out
how far away things are and how
physically large they are in diameter so
fine rhasta knees about 200 years BC a
makes the first actual measurement of
the earth size and diameter he obtains
the value of today about 27 25,000 miles
which is actually really close to the
actual value you use today the only
reason why he
wrong about the Earth's diameter was
that they assumed the earth was a
perfect sphere turns out that like a lot
of us
the earth bulges out a bit at the
equator so it's actually a little bit
larger at the equator than anywhere else
it bulges out a little bit so it's not
quite a perfect sphere but he was really
close to the right answer um again I
don't want to get into how exactly he
figured this out but it had to do with
sticking a stake into the ground at
various places on the earth and looking
at the shadow that was cast and how long
that shadow is and measuring the
distance between those two places on the
earth all right now one thing I want to
get into a little bit has to do with
something that Greeks believe the Greeks
believed that the solar system was in
fact Earth centered okay we call this a
geocentric idea the geocentric solar
system so the earth is the center of the
solar system and the Sun and all the
planets and the stars all go around the
earth now today we know this is not true
the Earth orbits the Sun the Sun orbits
the center of our galaxy the Galaxy
itself is just one of billions and
billions of galaxies we're not the
center of anything as it turns out but
the Greeks believed the earth was the
center of the universe the center of our
solar system they believed it for a very
good reason it was not a religious
reason they believed it for a
mathematical reason now this has to do
with something we call parallax now
parallax is something that you probably
use every day in your life whether or
not you know it a parallax is why you
have two eyeballs two eyeballs allows
depth perception what you can do with
two eyeballs is that you're seeing the
world from two different positions that
are slow
different spots from each other so with
your eyeballs it's like two inches apart
and because your eyeballs are two inches
apart you get depth perception now how
does this work well this is what the
Greeks would have said they would have
said look let's say the Sun is the
center of our solar system and the earth
goes around the Sun okay and in fact
some Greeks argued this might be the
case because they knew again as they
knew the size of the Sun they knew the
Sun was much larger than the earth and
so Aristarchus said hey maybe the sun's
the center but other Greeks said yeah
okay fine but there's a problem with
that if the Sun is the center of the
solar system and the earth goes around
the Sun well then earth in July when
earth is here okay if you were to look
out at the stars in the sky and you saw
a star that was relatively close to us
well that star would appear to be here
relative to stars that are further away
and in January so six months later when
the earth is here that same star from
our point of view would appear to be
here relative to the background stars
now keep in mind this star here itself
is not moving okay what they're saying
is that if the earth goes around the Sun
well the earth moves and so when we see
the star from two different positions as
the earth goes around the Sun it's
basically having two eyeballs you're
looking at it from two different
positions and it should appear to shift
slightly relative to things that are
further away so for example if you were
to take your face I'm gonna draw a
terrible face here okay here's your
eyeball okay if you hold your thumb in
front of your face okay hold it like one
foot away from your foot face now if you
focus on the background and you blink
back and forth
your eyes what you're gonna see is it
appears that your thumb moves relative
to the background it seems to be in one
spot bleak your eye to the other eye it
seems to be another spot
okay that's parallax this is how your
brain percept perceives depth and what
the Greeks said was like look we go
outside at night and we keep really good
track of all the stars in the sky and we
don't see this we don't see a stars
position some stars the stars that are
closer if the earth moves around the Sun
we should see them move position
relative to other stars and we don't
therefore the earth cannot be moving and
here's the thing in the sense that if
the earth goes around the Sun if that is
true you should be able to see parallax
that is true however what the Greeks did
not understand was just how big the
universe is okay this star here the next
nearest star to us the closest star to
us other than the Sun is more than four
light years away the earths of the Sun
that's eight light minutes to the next
nearest star it's four light-years a
little bit more than four light years
it's hugely far apart the universe is
much much bigger than the Greeks assumed
it could be but what that means is that
while it is true that stars close to the
earth do show parallax we can measure
this today you need a telescope you
cannot observe this with the naked eye
in fact even the closest star to us the
angle a the amount that it actually
moves in the sky is less than a one
arcsecond now an arcsecond is a very
small measure of angle it's how big a
diamond
look if it was two miles away the human
eye can't see a dime that's two miles
away there's no way you can see this
effect without a telescope they didn't
know that they didn't know how far apart
the stars were and because they could
not see this effect they assumed the
earth was the center of the of the well
for them the universe today we call the
solar system and the earth was
stationary that's why all right now when
the Greeks are trying to figure out a
model for our soul just what it looks
like again they believe the earth has to
be the center and all the things go
around the earth and you know things
like stars and the Sun you can explain
that pretty easily because the Stars
have you watch them night to night they
kind of seem to spin around the earth
they look from our point of view like
they spin around the earth and that's
fine that's actually easy to explain you
could have a big sphere that surrounds
the earth so the earth is here and you
have a big sphere that surrounds the
earth and that sphere spins and all the
stars are attached to that sphere and
they all spin around the earth the you
can imagine another sphere that had the
Sun on it sorry
better spear okay with the Sun on it
and that sphere goes around the earth so
that if you're looking up and you see
the Sun well you're not going to see the
stars because the Sun is too bright okay
at night you're gonna look in the other
direction from the Sun or rather the Sun
will be over here and at night you can
see the stars that are this guy fine one
problem with that all of that though is
the planets the planets first of all all
the planets from our point of view we
seem in the night sky they will be in
the zodiac okay the zodiacal
constellations we talked about those
last time these are the constellations
that are the Sun moves through them they
are in the plane of the ecliptic the
Earth's orbit around the Sun
and the planets will always be found
within the zodiac because the planets
orbit around the Sun in the same plane
as the earth does yes we understand why
today the planets are always to be near
the zodiac all right but the planets
when they go around the Sun it remember
that the earth also goes around the Sun
and it turns out that the earth moves
faster its orbit than Mars does but
slower its orbit than Venus does and
Mars has a larger orbit than the earth
and because of this as the earth laps
Mars or Venus laughs the earth Mars and
Venus and our sky from our point of view
seem to do weird things in the sky Hey
well they always rise east to west right
they always rise in the east and set in
the West but if you look at their motion
relative to stars in the night sky so if
you look at Mars tonight and then
tomorrow night in the next night you
compared where was two of the stars that
were near by it the previous night okay
the apparent motion is usually from west
to east in relative to the Stars but
every once in a while
planets like Mars will change that so
this is July 2005 Mars moves forward
until October but you'll notice it slows
down and then it turns around relative
to the background stars so again each
night you're just gonna see Mars rise
and set but a relative to the background
stars it is a weird little loop in the
skies weird a little zigzag in the sky
we call this retrograde motion and today
we understand why it happens it has to
do the fact that the earth is not the
center of the solar system but the
Greeks observing this remember they
believed the earth had to be the center
of the solar system
so what they did was they tried to build
a model of our solar system that would
explain why this happens and okay so
they had a geosynchronous
centric model idea basically the earth
the center and everything goes around
the earth but the simplest geocentric
model where everything goes around the
earth in in circles that does not match
will you actually observe in the sky and
again this is the birth of science if
the model does not match what you
actually see so your model makes
predictions if it doesn't predict what
you actually see well the model is wrong
so they went about figuring out a better
model okay so they had this model with
the earth the center and all of the
things in the solar system orbiting
around the earth but again this simple
model could not explain the motion of
the star or the planets rather in the
sky relative to the stars so told me
about Andrea
a Greek Egyptian astronomer and
mathematician devised a model in which
the earth was the center but the planets
rather than being attached to one sphere
they were attached to two spheres one
sphere a small one that was attached to
a bigger one and the small one did
little thing spins and the big one did
big spins if you added those motions
together what you would get is a planet
that does little epicycles little loops
in the sky so Antonis idea planets the
reason why they do these little zigzags
in our sky from our point of view is
because they're literally doing loops in
space now this model we know today it's
not correct right the earth is not the
center the reason why epicycles happen
we'll talk about next lecture or the
next part of this lecture by this model
worked in that you could use it to
predict where plants would be in the sky
in fact this model is used for the next
1,500 years across North Africa the
Middle East into
Asia and Europe although will talk a bit
about what happens in Europe in a minute
but this model it works so well that
it's used for 1,500 years we know today
it's wrong but again this is a model
that makes predictions and those
predictions turned out to be correct
although it is noteworthy that this
model over time does fall apart you have
to like reboot it have to take new data
to put into it and when we talk next
time the next part of this lecture we're
to talk about what was happening in
Europe about 1,500 years later okay now
this model again it works and while
there are discrepancies this model is
continued to be used and tell about the
1500s ultimately it collapses under the
idea that we know as Occam's razor which
basically states that all the things
being equal the simplest explanation so
the simplest explanation is usually the
best explanation ptolemies model is very
complicated right you have a sphere
attached to a spheres the planet of
these weird looky-loos literally in
space very complicated the actual story
of why planets go through epicycles
turns out to be actually pretty simple
but Ptolemies model works now over the
next fifteen hundred years the Greek
Empire collapses and in Europe Europe
goes through as long as the Dark Ages I
do want to make one thing clear when
Europe goes to the Dark Ages in Europe
basically all science and learning and
actually even literally literacy
disappears but in other areas of the
world of the Islamic world
the Middle East people continue to use
the learnt what the Greeks learned about
the heavens they continue to use
ptolemies model and they develop things
like algebra and Arabic numeral
in the Asian world things continue on
pace they continue to do astronomy and
do math and science but in Europe and
Europe things go dark we call the Dark
Ages they're pretty bad but but at the
end of the Dark Ages in Europe we get
what's called the Renaissance and the
Enlightenment and in this period of time
largely based on learnings that were
held together by Islamic countries and
Asian countries that the Europeans were
able to bring back after the Dark Ages
in Europe
[Music]
there was a revolution in science and
specifically astronomy but science in
general and physics that occurred that
were to talk about next time all right
so stay tuned
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