Of Cosines,Secants and Bad Grades

The Principia Mathematica is written by Alfred North Whitehead and Bertrand Russell and published in 1910–1913. It is an attempt to derive all mathematical truths from a well-defined set of axioms and inference rules in symbolic logic. One of the main inspirations and motivations for the Principia was Frege's earlier work on logic, which had led to paradoxes discovered by Russell. These were avoided in the Principia by building an elaborate system of types: a set has a higher type than its elements and one can not speak of the "set of all sets" and similar constructs which lead to paradoxes (see Russell's paradox).

(lifted from Wikipedia)

These words may very well have been:

...to me. I was already lost by the first sentence.
But this next illusion, this I get.

If you concentrate on the black spot... the grey haze around the spot disappears.

Let us assign spot= joy and grey haze = crap.
Focus on joy and crap has less value.


If spot= sadness and grey haze = joy,
Focus on sadness and joy has less value.

(She said to herself)


  1. I'm focusing on the spot.

  2. Thank you so much for your kind words on my own blog. I am sorry that most of my posts are few and far between but I have so much work and all blogs are blocked at my school (I am currently using a web proxy) so it is an effort just to jot down a few words.

    Thank you also for this post, it was so simple but it makes everything a lot clearer now.

    I shall definitely be adding you to my blog roll and coming back.

    Dora xx

  3. Yes, Principa Mathematica, not unlike the complexity of managing, marketing and understanding my blog...I'm really struggling with this technology stuff but feel I've a voice that needs to be heard.
    Love the joy/sadness spot. I needed that lesson after spending the last two hours trying to post my message at blogher. Be well,
    From your fellow newbie,

  4. When you fix your gaze, both physically and metaphorically... peripheral features dissapear.

    This brings to mind Orwell's comment, "To see what is in front of one's nose needs a constant struggle."

    What is fascinating about the optical illusion is that we begin to lose sight of things. Speaking metaphorically, how relevant is it whether we lose sight of good or bad, joy or junk? The larger point is broader; more basic... one tends to lose sight of what is in front of one's nose.

    This begs the question... does it matter? Do we focus on joy and ignore sorrow? Can one admire a person who lived a life of joy by ignoring the pain of others? I could not.

    I believe that somehow... and I don't know how... we must reocognize that the world is filled with both joy and sadness; that we must never forget that there is joy and sadness; and that we must try to live in joy without ever forgetting or denigrating the sadness which pervades our world.

    I don't want to ignore the world's sadness. I don't want to lose sight of what is in front of my nose. I want to be joyful even as I am sad. I want to see the world as it is.


  5. EXACTLY ! why focus on sadness when its nice to be happy, lol

    jut visiting, checking is you are behaving, hehe. it was a pleasure to see you in my blog too!

  6. Hi Chesca

    I hate Math! but I tried the illusion and it's cool! :)

  7. charissa-
    focusing is good...
    hello new blog friend.
    i think we wrote to each other today at the exact time. got your email. tnanks. isn't that freaky?
    i love the line:
    "I want to be joyful even as I am sad. I want to see the world as it is."
    that is beautiful.
    i might have to give this whole comment its own blog post in the future.
    francesca aka amy-
    buti na pa dalaw ka.
    fyi, i tagged you. yamang din lang malaki laki ang following mo--eh mabuti't makatulong diba?

  8. Hi Chesca, It's so wonderful, this direction your blog has taken. it is truly awe inspiring, what you have set out to do and the network of support you have pulled together. it's so great to see you blossom this way. i always knew you had it in you to achieve lofty things and quote Prinicpia Mathematica at that! Hey, I mentioned Historia Mathematica too one long ago post during the "early days"...

  9. chesca, i actually saw one of the original copies of principia mathematica when i was studying in cambridge during the mid-1990s. i suddenly turned nostalgic. i didnt get to appreciate it until i read your blog. mahina kasi ako sa math.


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