well i'm saying you can't really do it, so saying "how else" isn't very convincing. i mean you can get some idea that these were really smart guys but i don't think you can make solid comparisons of intelligence, but then again i don't even think intelligence is well defined so whatever.
So are you saying there's no way to compare, even partially objectively, the relative intelligence of the deceased?
Also, by saying that "intelligence is [not] well defined" I feel you are essentially avoiding by arguing that the language is vague (which is a logical fallacy, BTW. See:
https://en.wikipedia.org/wiki/Continuum_fallacy)
we still use stuff today that was invented by Newton, particularly in math and physics. calculus in particular is the basis of tons of the engineering we use today. can the same be said of da Vinci?
It seems to me you're trying to argue historical significance again, which I've already addressed two posts back.
But if you want to make this argument again, fine. I'm a student in engineering, and for basically all cutting edge technology we've moved past classical mechanics. For microprocessors, for example, we've found that classical simulations of electrons and behavior of materials at the nanoscale do not give an accurate enough model due to quantum tunneling effects; quantum simulations must be done, the problem is that no one really knows how to do quantum simulations on transistors. We've some educated guesses but that's really it.
Also, most of the calculus done today utilizes the Leibniz notation, even though historically the discovery of the fundamental theorem of calculus have been attributed to Newton.
For the case of da Vinci, nobody knows how the **** he created the Mona Lisa. If there wasn't substantial and irrefutable evidence that
a man painted this piece the Mona Lisa would have been attributed to a transhuman or divine source. If you want something more concrete, his work on Anatomy included the first drawing of a fetus
in utero and a design for a single span 220m bridge for the Golden Horn of the Istanbul Strait was was built in 2006 by the Turkish government.
yeah i was interested in this too. by my recollection he discovered some calculus-like things, but to say he completely invented calculus is going too far.
SSBPete said:
i didn't say he completely invented calculus. he did however invent the basis of it. he invented the idea of summing an infinite series to find the area under an arc and he used limits to predict the value of pi by increasing the number of sides of a regular polygon. he realised that the more sides, the more accurate pi would be.
he's often considered the father of calculus. his work on calculus was lost until recently, which slowed the process of modern calculus being discovered.
What Archimedes did was essentially Riemann Sums in a mathematically informal manner (Method of Exhaustion). Yes, it did lead up to the fundamental theorem of calculus, but he did not explicitly state it in any way, shape or form. Archimedes didn't take that final step (huge and difficult step, considering, but still).
I'm not qualified to judge whether or not his work would have sped up the discovery of Calculus or not.