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Now that Google is actively indulging in censorship and propaganda, I strongly recommend using DuckDuckGo or Qwant as alternative search engines. Many useful free and opensource alternatives to other tools are offered by Framasoft, try them out and free yourselves from GAFA!

Mathematics Databases

Preprints archives

Lecture notes, theses, etc.

News, opinions

Moon of Alabama
Consortiumnews
Counterpunch
Le Monde diplomatique
Les crises
Le grand soir
Les conoclastes
Jean Bricmont's youtube channel
Le blog de Pascal Dcaillet
Le blog de Frdric Lordon

Various (Sciences)

Images des mathmatiques
Accromath
MathOverflow
Physics StackExchange
Tricki
Terrence Tao's blog
Timothy Gowers's blog

Encyclopedias

Wikipedia
Scholarpedia
Mathworld
World of Physics
World of Chemistry
World of Astronomy
The On-Line Encyclopedia of Integer Sequences
Comment a marche (l'informatique) ? [in french]

Comics

Piled Higher and Deeper
xkcd
Anselme Lanturlu

History, pictures, etc...

The Nobel Prize Internet Archive
Pictures of physicists
History of Mathematics
World of scientific biography