Thursday’s Doors ~ December 8, 2016: the loving macaws, George and Martha 

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This couple are siblings.

Martha and George

show their affection

to each other.

They seem happy,

Although they may

like to be in a forest,

being alive is a blessing!

Caged birds see the palm trees,

vines and amazing cacti at the

Franklin Park Conservatory.

Sunshine streaming

into the large

ceiling – floor

windows.

This colorful, loving couple

kept my grandchildren

entertained for fifteen

minutes, Hendrix’s

eyes wide and

engaged.

Check

out other

Thursday’s Doors posts

on Norm Frampton’s blog!

http://miscellaneousmusingsofamiddleagedmind.wordpress.com

Let us know how you feel

about endangered species

of animals, as well as

unique birds, being

held captive, but

safe and fed

in cages.

x x x x

Thanks for stopping by!

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When You Learn a New Language to Read a Single Book

Math with Bad Drawings

a dispatch from the fourth annual Heidelberg Laureate Forum

In 1984, the legendary Alexander Grothendieck released one of the greatest mathematical texts of the century: “Esquisse d’un Programme.”

It became a viral hit. Like an epic novel, it painted a sweeping vision of the blossoming field of algebraic geometry. The topic would soon come to dominate research mathematics, and Grothendieck pointed the way.

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The young Vladimir Voevodsky was desperate to read it. There was just one problem: it was in French, and Vladimir didn’t speak French. So he did what any ordinary person would do.

He waited for the translation.

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