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August 17, 2007

Comments

Scarybug

"If anyone's interested I can expand on this."

Please do!

My father-in-law gave me this book, but I haven't read it yet. I'm very interested in certain aspects of transhumanism like networking people with wearable or implanted computers, sensory augmentation, etc, but I find a lot of what people focus on is immortality and uploading your mind, which I'm not convinced is anywhere near happening.

Todd T

Refreshing review. Thanks.

Barak A. Pearlmutter

> ... and given that we know there are functions
> that Turing machines cannot perform that analog
> machines can [Siegelman 1995] ...

This is not true in any meaningful sense. The machines proposed by Siegelman can perform super-Turing computation only if they are pre-loaded with uncomputable numbers, eg in the weights of the network. Similarly, if the numbers they manipulate are limited in precision, say to only 500 digits of accuracy, then they are no longer super-Turing.

The work by Hava Siegelman was of importance for some of the mathematical insights it led to, but not for actually describing a realizable super-Turing machine.

Sunny Bains

I didn't go into this in any great detail here, but the super-Turing nature of analog computation is definitely true in a meaningful sense. Please read my PhD thesis on the subject (Physical computation and embodied artifical intelligence) and I'd be happy to debate it with you from there... You can download it at:

http://www.sunnybains.com/index.php?page=publications.htm

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