1.
Literature
and Language
2.
Theology/Religion
3.
Mathematics
4.
Aesthetics
(art, music, etc.)
5.
Law and
Morals (see me)
You should produce a final
product that shows your understanding of the essential questions in one or more
of these areas.
Groups: Your final product will be done
individually. (If you really feel you
must work in partnership, be aware that this means you MUST write the final
exam. If you still want to work with
someone on the final product talk to me.)
How to go about researching your topic: Feel free to research your topic however you
think best. Work in a team. Try looking up relevant sections in your
textbook. Consider the teaser and
reading questions I have attached below.
Discuss with others in the class.
Talk to other teachers, parents, friends or experts in the field.
Final product format: You pick.
Exam exemption: If your final product shows a sufficient
mastery of the course material -- good reasons for knowing (senses, logic,
memory, etc.), brain function and structure, argumentation, and more -- you may be excused from the final exam.
Teaser and reading questions: The questions below are a starting point for
your investigation. You do not need to
answer them formally. They are there to
give you some inspiration. I want you to figure out how best to go about
answering the essential questions for your chosen area.
How you
will be marked: Your project will be marked
out of 20 on research, understanding and presentation. A further 4 marks will
be assigned according to how you work on your project during class time and how
punctual you are in each of the steps.
|
|
4 |
3 |
2 |
1 |
|
Answers
to the essential questions |
I answered the essential questions fully
and accurately. I backed up my answers
with good arguments. |
I answered the essential questions mostly. I usually backed up my answers with good
arguments. |
I answered the essential questions somewhat. I backed up my answers with good arguments
occasionally. |
My answers were sketchy and incomplete. |
|
Research (possibly based on teaser
questions) |
I researched my topic thoroughly and
found lots of information in various formats (WWW, books, articles)
suited to my level. I used these sources
to provide many good backing examples to my arguments. |
I researched my topic well and found more
than three sources mostly on the web. Most of my sources were at the right
level for me. I used these sources to provide some
good backing examples to my arguments. |
I researched my topic a bit and found
three or four web sources. A few of my sources were at the right level. I occasionally used these sources to
provide good backing examples to my arguments. |
I did a little research on my topic and
found three web sources which were either too easy or difficult for me. |
|
Links to other areas of ToK |
I showed mastery of most areas of ToK: good reasons for knowing, good argumentation, logic,
investigations into other areas of knowledge, etc. |
I showed mastery of many areas of ToK: good reasons for knowing, good argumentation, logic,
investigations into other areas of knowledge, etc. |
I showed mastery of a few areas of ToK: good reasons for knowing, good argumentation, logic,
investigations into other areas of knowledge, etc. |
I showed little mastery of the areas of ToK. |
|
Presentation |
My format was suited to my topic. My
presentation was clear and interesting. |
My format was pretty well suited to my
topic. My presentation was usually clear and interesting. |
My format was somewhat suited to my
topic. My presentation was occasionally clear and interesting. |
My format was not suited to my topic. My
presentation was confusing. |
1. Compare the following quotes:
The first law is that the historian shall never to set
down what is false; the second, that he shall never dare to conceal the truth;
the third, that there shall be no suspicion in his work of either favoritism or prejudice.
History is
written by the victors.
Read pp. 252-253 of The Demon-Haunted World by
Carl Sagan and discuss which quote you think is most
applicable to history as it is practiced. What role does choice of sources play
in the writing and interpretation of history? What are the sources of history? Discuss the question of the authenticity and
completeness of historical sources. Illustrate your discussion with examples
(actual examples or imagined possibilities).
Research the following terms and discuss them briefly: oral history,
history from below and the
3.
Why do
some call mathematics a language? What is a language? What does the language of mathematics have in
common with other languages? How is it different?
4.
Illustrate
how mathematics can reveal knowledge that could not be gained through common
sense. Look at the Monty Hall Paradox
and read some of Sagan’s Demon-Haunted World (p. 372+, or 88-89) about sports stats and our inability to grasp their relevance.
5.
Discuss
the role of axioms, theorems, deduction and induction in mathematics. Explain
how mathematics produces a unique kind of knowledge using axioms and deductive
reasoning. How supportable is the claim that mathematics is infallible? Does 1
+ 1 = 2?
6.
What are
Fibonacci numbers? Give some examples from nature. What did Fibonacci numbers
suggest about mathematics and nature? What is the golden ratio? Relate the
golden ratio of Fibonacci to beauty.
7.
What is
Euclidean geometry? What role has the “self-consistent beauty” of Euclidean
geometry played in the development of Western thought? What is the relationship between beauty and
mathematics?
8.
Galileo
said, “The book of Nature is written in Mathematical characters.” Is there a
correspondence between mathematical knowledge and the real universe as
described, for example, in scientific theories and economics? If so, is this
significant?
9.
Find the
most beautiful equation you can. Explain
why and how it is beautiful.
10.
Scientists
are currently searching for extra-terrestrial intelligence. What impact could such a discovery have on
science and on other epistemologies?
Consider aesthetics, history, mathematics and theology in particular.
Read: www.wired.com/wired/archive/7.11/persinger_pr.html
and Carl Sagan, Demon-Haunted World, p.
110.
Discuss the quote.
What does it say about the interrelationships between math, theology and
science? Where do you feel the alliances
and the conflicts among these fields lie?
You should consider some of the clashes between scientists and various
churches. Some examples of controversial
issues are/have been: heliocentrism vs. geocentrism, the Big Bang, evolution, genetic engineering
and reproductive technologies.
Epistemology
of Religion,
useful links
The following is a short list of useful sites
and links. There are many more, whose authors
or author organizations operate from a variety of perspectives, but this will
give you a start. Remember that our
class discussions are unlikely to develop from one perspective only; perhaps
even more than other groups you will need a broad-based understanding of the
field.
http://plato.stanford.edu/entries/religion-epistemology/
The Stanford University Dictionary of
Philosophy. Excellent, with many
relevant links
http://www.theologywebsite.com/internet/Philosophy/Religion/
Internet resources index. Many useful links.
http://www.philosophyofreligion.info/
An excellent site offering, “...discussions of all of the central topics in the philosophy of religion, including attempts to prove the existence of God, arguments for atheism, discussions of controversial Christian doctrines, and religious ethics.”
http://www.wired.com/wired/archive/7.11/persinger.html?pg=5&topic=&topic_set=
An interesting gonzo-journalistic description of one journalist’s experience of Persinger’s God Machine
“All Art is Useless.” Oscar
Wilde
1.
Read the course text
chapters (21 and 22) on art and creativity.
What does linguistcs (read some Chomsky) say
about creativity and the human brain.
2.
Read Sophie’s World (p. 338+) about the
artistic school known as surrealism. What does it have to do with Freud?
3.
Read Sophie’s World (p. 266+) about the
movement known as Romanticism. What does it have to do with art?
4.
Read Sophie’s World (p. 294+, and the book in
library) about Kierkegaard’s ideas about the meaning and significance of
aesthetic knowledge.
5.
Choose a work of art,
by any artist, and study it carefully.
Describe how it makes you feel. Why should art cause us to feel anything
at all? In other words, what are the cognitive, physical and social forces that
allow us to experience something as art?
How is it that a mathematical formula, a song or the face of someone we
love may all cause us to experience the same emotional/physical response?
6.
What is beauty? What
are the cognitive functions that allow us to appreciate beauty, and how do we
measure visual appeal? What is Birkhoff’s formula for measuring aesthetics? Do you
consider this a valid process for determining beauty? What are shape grammars,
and to what do they apply? Do you think that it is reasonable, or useful, to
try to measure how beautiful we think something is? Make a collection, as
varied as possible, of beautiful things.
7.
How far can art go?
Make a collection of art that explores the current boundaries of artistic
expression. Your collection may take any
form that seems appropriate to you, and may contain works of art that you have
created yourself.
8.
What is the golden
rectangle? Draw some. Is there some
relationship between the math and the beauty of the golden rectangle? Look for some other examples of beauty in
math. Consider, as a starting point, Fibonnaci spirals, and fractals. Does it seem to you that
there is a deep, necessary relationship between beauty and math? Or is there some more prosaic explanation?
What do other thinkers say? What might
evolution have to do with all this?
9.
What do Aristotle and
Plato have to say about artists and the arts?
Briefly place each one’s ideas on art within the larger context of his
ideas. Why did Plato, and Tolstoy, for
that matter, argue for censorship of the arts? What did John Dewey say about
art? What are the
romanticist and expressionist theories of art? Who said, “Beauty is Truth,
and Truth Beauty?” What did he mean? Can a piece of art be sad? Or is it that art is the expression of the artist’s
sadness?
10. Is art a human universal? What
cultural functions does art serve? Is art essential to survival? Briefly explain Kaplan’s research into aesthetic
preferences. What are his
conclusions? Find a piece of art that
seems to you to embody each of the four “preferences.” What aspects of human experience are best
articulated through art? Find some
examples.
11. Discuss the following statement.
The art object is a presentation of a possibility
felt and imagined by its author; it is not a representation of a form or
essence – given, complete, timeless. The art object is more than an imagined
possibility; it is itself the presence of the possibility.
Then, read the paper by Stephen Dubov. What is his assertion about the timelessness
of art? Do you agree with his idea?
12.
Find the
most beautiful equation you can. Explain
why and how it is beautiful.
13. “I have deep faith that the principle of the
universe will be beautiful and simple.” Albert Einstein
Discuss
14. Scientists are currently searching for
extra-terrestrial intelligence. What
impact could such a discovery have on science and on other epistemologies? Consider aesthetics, history, mathematics and
theology in particular.
15. Discuss the poem below. (You may also want to discuss the answer to
question 1 in section 1 above with the people working on it. Think “aesthetics.”)
Science! true daughter of Old Time thou art!
Who alterest all things with thy peering eyes.
Why preyest thou thus upon the poet's heart,
Vulture, whose wings are dull realities?
How should he love thee? Or how deem thee wise,
Who wouldst not leave him in his wandering
To seek for treasure in the jewelled skies?
1. How do we come to perceive music? How does music become meaningful? What is the relationship between our perception of music and music's meaningfulness? (i.e. between music perception and music cognition). Consider the perspectives on Hume and Descartes on perception and reality. Louis Armstrong once said, “Lady, if you have to ask, you’ll never know.” What comment was he making on the nature of musical knowledge?
2. Discuss the following statements:
Musical activity is the inevitable result of
humanness and not arbitrary or a random 'extra'. It grows out of fundamental
cognitive processes, as does language, and they are both to a large extend
essential to survival.
and...
There are aspects of human experience and
understanding that are best articulated through music.
Is music a human universal? What cultural
functions does music serve? What are the cognitive processes that allow
music? How is it that music is essential
to survival? What aspects of human experience are best articulated through
music? Play some examples.
3. Listen to Henryk Gorecki’s Symphony No. 3 Opus 36, 1976 “Symphony of Sorrowful Songs.” How does it make you feel? How does it make the other people in your group feel? Could you imagine this music making anyone feel deliriously happy? Comic? What does this say about the knowledge content in music? One proposed property of knowledge is that it can be shared. In what sense does music lead to knowledge? If the experience of music isn’t only personal, is it nevertheless culturally bound?
4. Music can be experienced both as performance art and through observation. In some way, we expect to be able to participate in music, whether we ourselves are making the music or someone else is. Unlike the visual arts (some might argue), music allows us to observe the artist at work, while simultaneously allowing the artist to observe the perceiver (us.) Furthermore, the listener may actually participate in the art by singing along, clapping and so on. Historically music was necessarily a shared experience, as it still is in some societies. How does its shared nature affect music, in terms of meaning, content, style? Since the advent of recorded music, music has become, in general, an increasingly solitary activity for both listener and artist. Postmodenists would call this a both a consequence and a contributor to the fracturing of popular culture. How has this changed the nature of music?
5. In earlier times, music was in fact studied as a sub-area of Mathematics. Liebniz wrote that music is “an unconcious exercise in arithmetic in which the mind does not know that it is counting.” Pythagoras attracted a devout following on the strength of his theory of the “Music of the Spheres.” Discuss the relationship between Music and math. Is there music without mathematics? Consider in particular what Douglas Hofstadter has to say about the music of Bach.
6.
Music has often been called a language. How could this be so? What is a
language? Does music satisfy this
definition in whole or part? How?
|
Cartesian thought/Cartesianism _Named after Rene
Descartes. His idea that observations/reality can be replaced by symbols and
examined through symbol manipulation represents an important intellectual
leap. |
Humean thought _Named after David
Hume, Scottish philosopher of the 18th century. His ideas represent a radical
paradigm shift, often referred to as 'Hume's wrecking ball.' _No dichotomy is
recognized between objective and subjective because the
observer is always part of the system being observed. |
|
i.e. Question: |
|
|
a) Cartesian Answer: |
b) Humean Answer: |
Plato and Aristotle held that artists create an
imitation, or representation, of reality. They were not advocating
the naive idea that artists strive to mirror natural objects as exactly as
possible. Rather, the artist seeks to represent the essential nature (essence)
of objects, the rational forms on which they are patterned (Plato) or which are
inherent in them (Aristotle). For Plato, objects of art are twice removed from
the Eternal Forms, since they are only images of copies of the Forms; that is,
natural objects are imperfect copies of Eternal Forms, and works of art are
only "imitations" of natural objects. The idea that esthetic objects
represent or symbolize an ultimate Reality that is eternal, perfect, and
complete (the True, the Good, the Beautiful) recurs frequently in the history
of esthetic thought. Keats and Hegel refer to beauty as truth in sensuous form.
Music, says Schopenhauer, gives us an intuitive grasp of ultimate reality
(timeless forms of the Will to Live). Santayana refers to beauty as an eternal,
divine essence suffusing a material object. Tolstoy conceives beauty as a
quality of perfect goodness. The art object, says Goethe, is a sensuous
embodiment of a spiritual meaning. Clive Bell defines an esthetic object as
significant form that reveals ultimate reality as a divine, all-pervading
rhythm. In the Hindu tradition, esthetic objects give intuitions of the
ultimate as pure being, which, in contrast to the view of the Greek
philosophers, is beyond all conceptions and distinctions accessible to reason.
To summarize, the metaphysical idealist insists that art objects point beyond
themselves to a realm where the True, the Good, and the Beauti-
ful already exist in completed form. When
representing a human body, for example, a painter or sculptor quite rightly
creates an idealized figure whose proportions are perfectly symmetrical. The
proposition that esthetic objects express eternal forms usually carries both an
epistemological and a moral implication. We can "know" or grasp the
ultimate nature of things intuitively. Since ultimate reality is morally
perfect, artistic productions can be judged good when they accurately depict
the moral and bad when they represent the immoral. On this ground Plato and
Tolstoy argued for censorship of the arts.
2.
Esthetic
Objects Express Suchness
The most notable achievements of Western civilization are
science (dealing with the cognitive, theoretical aspect of reality) and
technology (a highly practical activity). The esthetic dimension of experience
has been neglected in both achievements. Western religions, by and large, have
also subordinated esthetic concerns to theoretical and practical ones; they
have devoted themselves to the development of complex theologies and to moral
improvement. The esthetic dimension is more prominent in Eastern philosophies
and religions – Hinduism, Buddhism, Taoism – where the thrust is not to
understand (conceptualize) experience or to perfect it morally, but to accept
and celebrate it. This characterization applies emphatically to Zen Buddhism,
the subject of the following discussion. If the esthetic experience means to
appreciate something as complete in itself, then all Zen experience is
esthetic. If the Zen person travels, it is to travel, not to arrive somewhere
else; he is already there. He does not strive for anything; he is
goal-less. This is the art of artlessness. "When hungry, eat; when tired,
sleep." The priority of the esthetic element is revealed in the testament
of one of Zen’s most ardent and scholarly proponents. D. T. Suzuki, in trying
to explain an Eastern perspective to a Western audience, says, "Zen naturally
finds its readiest expression in poetry rather than philosophy because it has
more affinity with feeling than with intellect; its poetic predilection is
inevitable."’ That uniquely Japanese literary form, the haiku, makes the
case. A haiku poem, so brief with three lines of 5, 7, and 5 syllables, simply
points to the thusness of things; it seems to say,
"Just so, just as it is." The poem offers no commentary, no
interpretation; it expresses a simple childlike wonder.
Evening rain.The banana leafSpeaks of it first.
Zen painting in its spontaneity does not represent nature,
but is itself natural – a work of nature., The Zen artist portrays asymmetry,
disequilibrium, and imperfection because these, as well as harmony,
characterize individual suchness. The famous dry
3. Esthetic Objects Express a Unified Experience
John Dewey developed a theory of art as the enhancement of
common experience. Experience involves a constant interaction between live
creatures and their environments in a series of doings and undergoings.
When we are conscious of an ordered movement of experience from a beginning to
a culmination, the experience is unified, and we say that it was an
experience. When we pay attention to the pervasive, integrated quality of an
experience, our experience is esthetic. It may be noted that some educators,
focusing exclusively on this aspect of Dewey’s esthetic theory, have concluded
that exposure of students to objects of fine art is unimportant, since esthetic
appreciation can be sufficiently developed as students experience the ordered
movement from the beginning to the conclusion of any problem-solving
activity. Esthetic objects and events elicit a quality of experienced
wholeness, of an experience complete and unified in itself. Thus objects of art
focus and enrich qualities found in our everyday experience. Consider the
earliest known examples of art: paintings of animals on the walls of caves to
commemorate the success of a hunting expedition. Objects take on meaning
when we discover their interrelationships and interact with them in new ways.
The moon is still a shining disk in the sky, but now it has the added meanings
of men having walked on it and returned with fragments to decipher. Science
takes objects out of isolation by showing us their causes and effects, thus
providing us with instrumental meanings. Art is a direct expression of meanings
that are not translatable into ordinary language. Poor landlubbers, we yet
participate in Ahab’s relentless search for the white whale. The artist has the
imaginative capacity to see things whole, thus enlarging and unifying the
quality of the perceiver’s experience. The artist does not reveal some ghostly
"essence" of things, but rather their essential meanings in and for
experience. The religious feelings that may accompany an intense esthetic
perception stem from arousal by the work of art of a sense of unity and a sense
of belonging to the all- inclusive whole that is the universe. The more an
esthetic object embodies experiences common to many individuals, the more
expressive it is. A work of art means not the artist’s intention, but the
unified quality of experience that, through time, it can evoke in perception.
Ideally, the art object is the vehicle of complete, unhindered communication,
enabling us to share vividly and deeply in meanings to which we had been blind
or insensitive. Who, for example, can live through a performance of Who’s
Afraid of Virginia Woolf? without acquiring a new
and poignant sense of what it means to hurt others and in turn be hurt? People
in all walks of life – the assembly-line worker, the agricultural laborer, the
computer programmer – can become creatively involved in the products of the
artist’s imagination and emerge with a sharpened and heightened awareness.
4. Esthetic Objects Express Feelings
The theory that esthetic objects express feelings is known
as expressionism. Expressionism can be interpreted in three quite
different ways. The feelings expressed may be those of the artist, or those
inherent in the art object, or the feelings aroused in the perceiver. Thus we
may say: (1) the composer is sad and communicates his personal feeling;
or (2) the music is sad; or (3) the music makes me feel sad.
Obviously, these are not mutually exclusive alternatives – either or both of
the second and third conditions may result from the first one. Croce, an
Italian philosopher of history and esthetics, interpreted art as an expression
(manifestation) of the artist’s state of mind, giving us "intuitive
knowledge" of mental states (see discussions of subjective idealism). Note
the striking art sometimes produced by the uninhibited expression of so-called
mentally ill persons. Plato and James Joyce suggested that the artist’s
feelings are a divinely inspired ecstasy. The idea that art expresses the
artist’s personal emotions is exemplified most fully in the movement known as
romanticism. The romanticists valued sincerity, spontaneity, passion. The
role of the artist is to feel deeply, and then communicate those emotions in
order to stimulate imagination and enthusiasm in the audience. The romanticists
were intensely interested in Nature, which they interpreted as a manifestation
of Spirit. Artists should immerse themselves in Nature, approaching it with
longing and a sense of identification; in this way artists would relive the
experiences of the creative Spirit and be able to re-express them symbolically
through their works of art. In this vein, Teilhard de
Chardin interprets art as an expression of a
universal life force, reminiscent of Henri Bergson’s
notion of an elan vital, the dynamic source of
causation and evolution in nature. Art may express the artist’s feelings in a
very different sense if it symbolizes a sublimated sexual impulse (Freud), or
primordial images (archetypes) from the unconscious (Jung, Herbert Read), or a
playful, make- believe escape from reality. Does it make sense to say that
music is sad? It can be argued that the music (or some other variety of art
object) has a gestalt quality (perhaps a mood) so that the perceiver
recognizes (does not read into) the emotion as a felt quality of the object
itself. Music is sad when it has the properties and features of people’s sad
feelings. Some music is iconic, that is, has a structural similarity to
what it symbolizes – such as the clattering of horses’ hooves.
Susan Langer and Ernst Cassirer
describe art as the creation of forms that symbolize (articulate) the structure
of human feelings. Who’s Afraid of Virginia Woolf?
again provides an illustration. An art object does not assert any propositions
about human feelings; it is a symbolic pointing toward them. A major function
of art, in this view, is to clarify the inner life. Aristotle held that the
portrayal of fearful and pitiable events in tragic drama provides a catharsis,
a purification of the emotions. The third view is that art expresses feeiings in the sense of evoking them. It is undeniable that
we experience sadness, joy, and other emotions while in the presence of
esthetic objects. The question is whether our feelings tell us something about
the artist’s intentions, about the art object itself, about our emotional state
at the time, or about the meanings and expectations we project onto the
esthetic object. We may approach the question by posing another question: When
two persons attend to a work of art, without paying attention to their own
inner responses to it, will one of them experience joy and the other sadness?
The hedonistic interpretation of feelings aroused by esthetic objects is that,
joyful or sad, they are pleasing. Beauty is objectified pleasure (according to
Santayana).
5. Esthetic Objects Express Existential Possibilities
We have reached the opposite end of the continuum from
Eternal Forms. The existential view is that an art object is a sheer (pure)
possibility. The art object is a presentation of a possibility felt and
imagined by its author; it is not a representation of a form or essence
– given, complete, timeless. The art object is more than an imagined
possibility; it is itself the presence of the possibility. The work of
art, like the existing individual is not an expression of fullness; it is a
thrust of spontaneity from lack of being. The art object is a spontaneous
utterance, an enactment, of what an individual feels and imagines existence to
be. The utterance, if authentic, is novel and original. It is
"truthful" in the sense of being sincere and of revealing the vision
to which the person is committed. This is not an abstract kind of truth and is
not subject to any empirical test. The artist creates by willing into existence
some value in an inherently valueless existence. The only test of a work of art
is the originality and sincerity that mark its creation. Genuine art merges
authentic feeling and imagination into an object whose meaning is completely
clear. This authenticity and clarity sensitize us to cowardice and fakery of
every kind. On the positive side, art helps us to taste the infinite variety of
ways in which it is possible to be human. Such tasting is an incipient time
bomb to explode the status quo. There is no single style of
"existential" art. For Nietzsche, art is Dionysian,
celebrating human passions that overflow all civilized restraints. On the other
hand, a painting in which human figures are conspicuously absent may symbolize
the impersonality and dehumanization of modern existence.