2024-02-11: Symbolic algebra and typing

2023-08-01: Population waves

2023-05-18: Math of telephone billing mystery

2023-05-05: Franklin and DNA More information…

2023-04-25: On angle and dimension

2023-02-20: On Leonardo da Vinci and Gravity

2022-04-29: Fabricating Evidence to catch Carmen Sandiego

2022-03-04: Probabilistic law of the excluded middle

2020-05-04: Archimedes and the sphere

2019-05-16: Glow worms return

2019-04-11: Original memetic sin

2019-01-31: The theory of weight

2018-11-06: Origins of telephone network theory

2018-10-24: Modern thought

2018-09-10: Feeding a controversy

2018-06-11: Glow worm distribution

2018-04-23: Outlawing risk

2017-08-22: A rebuttal on the beauty in applying math

2017-04-22: Free googles book library

2016-11-02: In search of Theodore von Karman

2016-09-25: Amath Timeline

2016-02-24: Math errors and risk reporting

2016-02-20: Apple VS FBI

2016-02-19: More Zika may be better than less

2016-02-17: Dependent Non-Commuting Random Variable Systems

2016-01-14: Life at the multifurcation

2015-09-28: AI ain't that smart

2015-06-24: Mathematical Epidemiology citation tree

2015-03-31: Too much STEM is bad

2015-03-24: Dawn of the CRISPR age

2015-02-12: A Comment on How Biased Dispersal can Preclude Competitive Exclusion

2015-02-09: Hamilton's selfish-herd paradox

2015-02-08: Risks and values of microparasite research

2014-11-10: Vaccine mandates and bioethics

2014-10-18: Ebola, travel, president

2014-10-17: Ebola comments

2014-10-12: Ebola numbers

2014-09-23: More stochastic than?

2014-08-17: Feynman's missing method for third-orders?

2014-07-31: CIA spies even on congress

2014-07-16: Rehm on vaccines

2014-06-21: Kurtosis, 4th order diffusion, and wave speed

2014-06-20: Random dispersal speeds invasions

2014-05-06: Preservation of information asymetry in Academia

2014-04-16: Dual numbers are really just calculus infinitessimals

2014-04-14: More on fairer markets

2014-03-18: It's a mad mad mad mad prisoner's dilemma

2014-03-05: Integration techniques: Fourier--Laplace Commutation

2014-02-25: Fiber-bundles for root-polishing in two dimensions

2014-02-17: Is life a simulation or a dream?

2014-01-30: PSU should be infosocialist

2014-01-12: The dark house of math

2014-01-11: Inconsistencies hinder pylab adoption

2013-12-24: Cuvier and the birth of extinction

2013-12-17: Risk Resonance

2013-12-15: The cult of the Levy flight

2013-12-09: 2013 Flu Shots at PSU

2013-12-02: Amazon sucker-punches 60 minutes

2013-11-26: Zombies are REAL, Dr. Tyson!

2013-11-22: Crying wolf over synthetic biology?

2013-11-21: Tilting Drake's Equation

2013-11-18: Why \(1^{\infty} eq 1\)

2013-11-15: Adobe leaks of PSU data + NSA success accounting

2013-11-14: 60 Minutes misreport on Benghazi

2013-11-11: Making fairer trading markets

2013-11-10: L'Hopital's Rule for Multidimensional Systems

2013-11-09: Using infinitessimals in vector calculus

2013-11-08: Functional Calculus

2013-11-03: Elementary mathematical theory of the health poverty trap

2013-11-02: Proof of the circle area formula using elementary methods

Blog – leonardo

On Leonardo da Vinci and Gravity

In the last week or so, there’s been allot of conversation about Leonardo’s views on gravity, inspired by this press release from Cal Tech on a paper from their faculty. The topic’s made the rounds at Ars, Hacker news, and even the times, and been incorporated into wikipedia.

Leonardo’s manuscript being discussed is available from the British Museum, and page 143 in particular (shown below). Commentators seem to have looked into the actual article only superficially, perhaps because it is hard to get a hold of. I’m quite curious to see the actual article, because, atleast as far as the popular press’s accounts go, this all sounds like old news for anybody whose bothered to visit a library and inspect works older than 1990. In his tremendous work on the pre-Newtonian period of physics from 1950, Dijksterhuis spends a 12 pages addressing da Vinci’s contributions to mechanics and dynamics. While he couldn’t reference the original source material in the same rich way the internet allows today, his conclusions seem very similar and deeper than those being cited in this new work. The science of mechanics in the Middle Ages by Marshall Clagett (1959) also provides an excellent resource putting da Vinci’s work in context, while directly referencing the diagram that everybody seems to be reproducing.

At the moment, I remain of the opinion that da Vinci was an inspiring thinker, participating in the rebirth of interest in the natural sciences during the high renaissance. However, his command of mathematics was weak, and fails in comparison to the likes of Euclid, Hipparchus, Archimedes. While this may only strengthen a certain aspect of his appeal, for me, it is more of an invigorating of a thirst for concreteness. Nicole Oresme remains a much more compelling figure than Leonardo to me (though a much less accomplished artist;)