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Dran Fren
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Dran Fren

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1+1
 
1+1 = 0

Math gets simpler in a world where 1+1=0, but it doesn't become self-contradictory and explode into nothing. We call this number system the field with 2 elements or F₂.

About a year ago, Greg Egan and I were studying a lattice in 8 dimensions called E8 lattice, and a lattice in 24 dimensions called the Leech lattice.

In the E8 lattice each point has 240 nearest neighbors. Let's call these the first shell. It also has 2160 second-nearest neighbors. Let's call these the second shell.

We noticed some cool things. For starters, you can take the first shell, rotate it, and expand it so that the resulting 240 points form a subset of the second shell!

In fact, there are 270 different subsets of this type. And if you pick two of them that happen to be disjoint, you can use them to create a copy of the Leech lattice inside E8⊕E8⊕E8 — that is, the direct sum of three copies of the E8 lattice! Egan showed that there are exactly 17,280 ways to do this.

Tim Silverman, a friend of mine in London, has been thinking about this ever since. And he found a nice way to understand it using the field with 2 elements.

As he explains:

“Everything is simpler mod p.” That is is the philosophy of the Mod People; and of all p, the simplest is 2. Washed in a bath of mod 2, that exotic object, the E8 lattice, dissolves into a modest orthogonal space, its Weyl group into an orthogonal group, its “large” E8 sublattices into some particularly nice subspaces, and the very Leech lattice itself shrinks into a few arrangements of points and lines that would not disgrace the pages of Euclid’s Elements. And when we have sufficiently examined these few bones that have fallen out of their matrix, we can lift them back up to Euclidean space in the most naive manner imaginable, and the full Leech springs out in all its glory like instant mashed potato.

Read the rest here:

https://golem.ph.utexas.edu/category/2016/01/integral_octonions_part_12.html

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Clara Listensprechen's profile photo
 
Binary-ish. Actually = 10.
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"They will make you feel special and individual in a way that you are unlikely to have felt before.
They will celebrate the very things that make you feel different from everyone else; the members will get to know you deep down, and they will love you for what they find you. And you will love them."
#cult #consumer_marketing #community #sharing

Chk +David Lange​
The sharing economy’s marquee startup Airbnb recently unveiled a new brand identity and positioning to help propel its international expansion. Airbnb’s new wordmark and logo nicknamed “the Bélo” is said to have been the culmination of a year-long process, including a cross-cultural analysis to ensure their identity would be understood around
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Dran Fren

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Are there no more extended circles on the new google+?
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Who knows? they keep changing stuff.

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<< “Why would anyone ever choose to go to Burlington, Iowa?” he asked philosophically.

“I’m going to see Donald Trump and Bernie Sanders.”>>
 
On an American road trip, Stephen Marche enters the fray with Donald Trump and Bernie Sanders in Iowa and gets a view of the campaign trail from the perspective of his whiteness
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Thought provoking.
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How can we organize social healing in #capitalism?
Massive traumatic events (e.g. wars) and epidemies can happen in societies and put deep imprints on individuals and groups, structuring (among other factors) their perception, behaviour and construction of reality.
A significant part of these structures are not resolved by themselves, but rather inherited 'for free' to further generations.

In capitalism there is no critical mechanism that ensures that epidemic traumatically inherited structures are prevented from becoming predominant, and there are no direct incentives that initiate and prolong healing mechanisms for such large-scale epidemic patterns.

The capitalist system as such does not account for, perceive of or deal with large-scale traumatic cascades... [Actually from some positions of capitalism, this might seem to be just a minor flaw; which is exactly how we can identify these as anti-human (I miss a better word here. Regressive? Unliberal? Technologically pessimistic? De-humanistic? Premodern?) ideology.]

This leads to the following:
There are no fail-safes for critical breakdown scenarios in capitalism (other examples: TBTF, climate, 1% problem).
Is there an inherent reason, why there shouldn't be any? Are there any systemic trade-offs in installing such mechanisms?
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Dran Fren

Ethics  - 
 
The best is not to be born
and the second best is to die soon –

but when he didn't ask,
and the other person
didn't contemplate an answer,
they would have lived anyway –

and what would be the trade-off then?
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Have him in circles
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Dran Fren

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Op-ed: Trying to harmonise US-EU regulations may result in democracy being sidelined.
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Modifying nazis into whales by genetics seems to have a nazistic touch in itself. On the other hand brainwashing whales into nazism is inhumane.
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As 2015 ends, the world boasts few areas of robust growth. At a time when both developed and emerging-market countries need rapid growth to maintain domestic stability, this is a dangerous situation.
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Dran Fren

General Discussion  - 
 
Suppose you accept the claim that there goes a
special quality with conscious experience
which is very difficult to create artificially,
and even more there is no way to tell
if it has been created in a particular case.
Any such machine intelligence could pass a Turing test
but still be equipped with a Zombie awareness,
lacking 'real' 'live' experience and even
outrun it.
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Colin
 
i don't believe any of you are conscious anyway. i'll have no problem pretending robots are.
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