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Editorial: Maths is a language that has helped humanity lay bare the mysteries of the universe

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Who influences the influencers? This is one of the pressing questions about the coordination and management of the far-Right riots and assaults following the murder and mayhem at the Taylor Swift children’s dance event in Southport on July 29.

The Eras Tour is big. The UK economy is much bigger

Direct guilt sits with those who brought violence to our streets, but their hatred was inflamed by lies spread on X, says Guardian columnist Jonathan Freedland

The former Catalan president staged a dramatic flight from Barcelona – but his charade could fuel extremism in the region and beyond, says Spanish journalist María Ramírez

Elon Musk may be a useful villain, but that should not distract politicians from the basic facts about inequality and poverty, says Guardian columnist Marina Hyde

Taking the Banksy wolf from Peckham, one of five new Banksy artworks, was a moral error, Maddy Mussen argues

The concept of “British jobs for British workers” is not a post-Brexit phenomenon. Indeed, the phrase was uttered by a man with internationalist and social democratic bona fides as unimpeachable as Gordon Brown all the way back in 2007. But in an era of high levels of net migration, which…

Olivia Petter’s debut novel about nonconsensual sex with a pop star is stuck in an era gone by, says Maddy Mussen

Scotland’s Flow Country is the first peatland to become a world heritage site – reassigning nature its leading role, says author Sophie Yeo