a thoughtful web.
Good ideas and conversation. No ads, no tracking.   Login or Take a Tour!
comment by mk
mk  ·  4645 days ago  ·  link  ·    ·  parent  ·  post: AskHubski: What are the top ten most positively influential events in human history?
No order:

1. Scientific Method, 2. Magna Carta, 3. Computers, 4. Vaccines, 5. Firefly, 6. Plato, 7. Newton, 8. Printing Press, 9. Invention of Zero, 10. Italian Renaissance





b_b  ·  4644 days ago  ·  link  ·  
Is 0 an invention or a discovery? Or is this a rhetorical question?
mk  ·  4644 days ago  ·  link  ·  
I'd say it's somewhat rhetorical, but should we say that Calculus was invented or discovered? I'd say 'invented' as it didn't exist beforehand. The same with zero, I think. It's a conceptual tool that didn't pre-exist.
b_b  ·  4644 days ago  ·  link  ·  
Here's my two cents. I think that zero was invented and calculus was discovered. The whole study of mathematics is essentially defining a set of axioms, then searching for the unobvious but necessary results that naturally follow from the them. Therefore, a number system is invented (I think in this case numbers and how they relate to one another are axiomatic), and everything that follows is discovered. Basically, once we started doing math with the place value system, calculus was inevitable.

I think if the Greeks would have had place value math, then calculus would have been discovered in the time of Archimedes, as he dabbled in limits, but didn't have the right tools to really investigate them extensively.

mk  ·  4644 days ago  ·  link  ·  
    Therefore, a number system is invented (I think in this case numbers and how they relate to one another are axiomatic), and everything that follows is discovered.

I'll buy that. However, you might then say that it was language that was invented, and then numbers were discovered.

BTW, nice link there.

b_b  ·  4644 days ago  ·  link  ·  
Yeah, I was trying to demonstrate to the crew what's now possible thanks to some ingenious coding.