Let us imagine that intelligence had resided, not in mankind, but in some vast solitary and isolated jelly-fish, buried deep in the depths of the Pacific Ocean. It would have no experience of individual objects, only with the surrounding water. Motion, temperature and pressure would provide its basic sensory data. In such a pure continuum the discrete would not arise and there would be nothing to count.
I loved this thought experiment because it’s the first instatiation I see of what a truly different kind of math would be like. Just imagine, a math without integers! As Jameson Graber elaborates here, we started with integers and only through calculus first started to truly grasp the continuous. What if there were other paths?
Having thought about this question a good deal, I believe that math is a human construct in that the Math that is possible is far Vaster than we imagine, and from that gnarly Vastness we choose only one thread. That’s what Atiyah’s quote illustrates to me.
Without beings to think it Math exists only in a combinatorial, potential form, just like all that we’ll ever write already exists in a latent form in the alphabet.
As to its universal truth, validity, applicability…, perhaps all that can be said is that empathic nonhumans might be able to get and accept some of it, just as exotic stories start to make sense to us only after we understand the exotic sensibilities that gave rise to it.
Math is not a special, magical kind of thought but simply the ever more sophisticated, ever more rigorous thought that we have. That it is, as it is famously said, “unreasonably effective”, is just an endorsement of thought itself.
Icons on Arts & Letters Daily is a simple script to add website icons to the links in Arts & Letters Daily. This adds a visual layer to the all-text site that enables you to quickly scan its sources.
Avoiding failure is not the same as pursuing success
PROFESSIONALISM IS NOT ENOUGH
or THE GOOD IS THE ENEMY OF THE GREAT.
Early in my career I wanted to be professional, that was my complete aspiration in my early life because professionals seemed to know everything – not to mention they got paid for it. Later I discovered after working for a while that professionalism itself was a limitation. After all, what professionalism means in most cases is diminishing risks. So if you want to get your car fixed you go to a mechanic who knows how to deal with transmission problems in the same way each time. I suppose if you needed brain surgery you wouldn’t want the doctor to fool around and invent a new way of connecting your nerve endings. Please do it in the way that has worked in the past.
Unfortunately in our field, in the so-called creative – I hate that word because it is misused so often. I also hate the fact that it is used as a noun. Can you imagine calling someone a creative? Anyhow, when you are doing something in a recurring way to diminish risk or doing it in the same way as you have done it before, it is clear why professionalism is not enough. After all, what is required in our field, more than anything else, is the continuous transgression. Professionalism does not allow for that because transgression has to encompass the possibility of failure and if you are professional your instinct is not to fail, it is to repeat success. So professionalism as a lifetime aspiration is a limited goal.
I need more quotes for this one, I vaguely remember some great ones but can’t find them… any suggestions?
Curing sadness is not creating happiness
..one of the key points in the science of happiness is that happiness and unhappiness are not endpoints of a single continuum. The Freudian model is really one continuum that, as you get less miserable, you get happier. And that isn’t true. When you get less miserable, you get less miserable. And that happiness is a whole other end of the equation.
A few years ago, I learned from Jaron Lanier about a beautiful dream he calls post-symbolic communication. It’s a dream that has stayed with me since, a powerful, subtle idea. It’s the dream that in the near future we’ll be able to talk not only through words and our voice, but through anything we can dream of. Instead of describing something with words, we would build it, as naturally as we now shrug or wag our finger. It’s about how gods might talk.
This video, so clearly a labor of love, is a marvelous embodiment of that dream. Fittingly, not a word is spoken in the entire 9 minutes.
If art is already there, perhaps we’re closer than we think.
I’m going to Lift France 09 tomorrow! Since a big part of my motivation for going was its focus on networking, since they encourage you to fill a profile on their site and over half of the >550 participants actually do it, and since the theme this year is “A hands on future”, I decided to do a quick re-interface their list of participants, which was too unwieldy for me.
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Let us imagine that intelligence had resided, not in mankind, but in some vast solitary and isolated jelly-fish, buried deep in the depths of the Pacific Ocean. It would have no experience of individual objects, only with the surrounding water. Motion, temperature and pressure would provide its basic sensory data. In such a pure continuum the discrete would not arise and there would be nothing to count.
