An experimental satellite called Aeolus, named after a Greek god of wind, which takes daily global measurements of the wind patterns throughout the depth of atmosphere has improved weather forecasts. ESA’s Anne-Greta Straume explains how it works.

The dramatic eruption of the island volcano Taal in the Philippines was a spectacular picture of the plume of ejecta punching a hole in overlying cloud cover. Nearby towns have been blanketed with dust, fissures have appeared in the ground and there has been dramatic lightning. Geologist Yannick Withoos at Leicester University is studying historic eruptions of Taal and current events have brought the purpose of her research into sharp relief.

Philipp Heck of the Field Museum in Chicago explains how he has found the oldest dust grains on earth inside a Murchison meteorite. They are millions of years older than the solar system. And Roland Pease talks to Brian Rauch of Washington University, St ouis, who is currently in Antarctica flying detectors on balloons around the South Pole searching for cosmic rays produced in the death of stars.

Tracking climate change in the Himalaya – not up at the snow capped peaks, clearly visible from afar, but in the extensive rocky hinterland further down you occasionally see in documentaries about attempts on Everest – is difficult. Ecologist and hydrologist Karen Anderson, of Exeter University, has used satellite data to measure the changes in the vegetation in this remote area.

Is there something bigger than infinity? Does quantum mechanics affect how I think? And why can I suddenly do algebra? As ever, we’re not afraid to tackle the big questions.

After a previous episode about the relationship between mathematics and reality, we received a flood of profound and difficult questions, so we dive back into the world of maths, physics and philosophy to try and answer them.

A panel of experts help us puzzle out whether some infinities are bigger than others - and why that matters, as well as what quantum mechanics can teach us about the workings of the brain. And we seek answers for one of our listeners who surprised himself by being able to figure out mathematics equations he previously found unfathomable.

With philosopher of physics Dr Eleanor Knox, mathematician Dr Katie Steckles, and Dr Aldo Faisal, an expert in neurotechnology.

(Image: Taal Volcano, Philippines. Credit: EPA)