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What I find intriguing here is that in the past century, breakthroughs in physics (relativity, quantum mechanics) followed from earlier insights in mathematics

What I find intriguing here is that in the past century, breakthroughs in physics (relativity, quantum mechanics) followed from earlier insights in mathematics (linear algebra, stochastics). Yes, mathematics can be very, very abstract and sometimes it appears to be more like poetry then science. But when an insight allows to generalize and simplify many different problems it's quite possible that we will see the fruits of that insights for decades to come.

uxp8u61q 3y ago
It has always been like that. Fundamental research is necessary for applied research. And the needs of applied research give purpose and intuition for fundamental research. But of course, fundamental research does not give results that look shiny for the next quarterly report. That's why the current trend of running universities like business is so awful.
- eru 3y ago
  Applied research can also predate fundamental research. They both feed back into each other.
  - ykonstant 3y ago
    Yep! And engineering advances can trigger breakthroughs in both. It is marvelous to see basic research, applied research and engineering forming a virtuous complex.
    - eru 3y ago
      Thermodynamics is my go-to example here. Steam engines came first, and thermodynamics was partially invented to study them. Later on, thermodynamics helped make better steam engines.
      - Robotbeat 3y ago
        Not accurate. Early thermodynamics (in the broad sense, including gas laws) like Boyle’s 1662 Law and others led to Papin’s 1679 invention of the steam digester and related inventions (steam release valve) which directly led to Savery’s 1698 steam engine. Vacuum science is also a critical predecessor to the steam engine, developed by Galileo in the 1630s and demonstrated as artificial vacuum and the barometer in the 1640s.
        eru 3y ago
        Yes, nowadays we systematize and include Boyle's law and others within thermodynamics. About Vacuum Science: I grew up around and in Magdeburg, which is famous for her (vacuum) hemispheres. https://en.wikipedia.org/wiki/Magdeburg_hemispheres https://en.wikipedia.org/wiki/Magdeburg_hemispheres
- dystroy 3y ago
  Fundamental research can also exist without looking at applied research. Understanding the world and finding the beauty in its fabrics is a legit goal per se, we're humans, not ants or traders.
jdietrich 3y ago
Stephen Hawking worked at the Cambridge Department for Applied Mathematics and Theoretical Physics. The interface between the two fields is so fuzzy that it isn't always clear where one ends and the other begins. https://www.damtp.cam.ac.uk/ https://www.damtp.cam.ac.uk/

uxp8u61q 3y ago

It has always been like that. Fundamental research is necessary for applied research. And the needs of applied research give purpose and intuition for fundamental research. But of course, fundamental research does not give results that look shiny for the next quarterly report. That's why the current trend of running universities like business is so awful.

eru 3y ago
Applied research can also predate fundamental research. They both feed back into each other.
- ykonstant 3y ago
  Yep! And engineering advances can trigger breakthroughs in both. It is marvelous to see basic research, applied research and engineering forming a virtuous complex.
  - eru 3y ago
    Thermodynamics is my go-to example here. Steam engines came first, and thermodynamics was partially invented to study them. Later on, thermodynamics helped make better steam engines.
    - Robotbeat 3y ago
      Not accurate. Early thermodynamics (in the broad sense, including gas laws) like Boyle’s 1662 Law and others led to Papin’s 1679 invention of the steam digester and related inventions (steam release valve) which directly led to Savery’s 1698 steam engine. Vacuum science is also a critical predecessor to the steam engine, developed by Galileo in the 1630s and demonstrated as artificial vacuum and the barometer in the 1640s.
      - eru 3y ago
        Yes, nowadays we systematize and include Boyle's law and others within thermodynamics. About Vacuum Science: I grew up around and in Magdeburg, which is famous for her (vacuum) hemispheres. https://en.wikipedia.org/wiki/Magdeburg_hemispheres https://en.wikipedia.org/wiki/Magdeburg_hemispheres
dystroy 3y ago
Fundamental research can also exist without looking at applied research. Understanding the world and finding the beauty in its fabrics is a legit goal per se, we're humans, not ants or traders.

jdietrich 3y ago

Stephen Hawking worked at the Cambridge Department for Applied Mathematics and Theoretical Physics. The interface between the two fields is so fuzzy that it isn't always clear where one ends and the other begins. https://www.damtp.cam.ac.uk/ https://www.damtp.cam.ac.uk/