What An Actual Handwaving Argument in Mathematics Looks Like

I’m sure we’ve all heard them many times, but this is what an actual handwaving argument looks like in a mathematical setting.

Handwaving during Algebraic Number Theory

Instagram filter used: Normal

Photo taken at: UCLA Math Sciences Building

Handwaving during Algebraic Number Theory

A photo posted by Chris Aldrich (@chrisaldrich) on

Before the rain today…

Unusual cloud formation over Glendale

#latergram" srcset="http://i1.wp.com/boffosocko.com/wp-content/uploads/2015/11/1446619393.jpg?w=1080 1080w, http://i1.wp.com/boffosocko.com/wp-content/uploads/2015/11/1446619393.jpg?resize=150%2C150 150w, http://i1.wp.com/boffosocko.com/wp-content/uploads/2015/11/1446619393.jpg?resize=300%2C300 300w, http://i1.wp.com/boffosocko.com/wp-content/uploads/2015/11/1446619393.jpg?resize=768%2C768 768w, http://i1.wp.com/boffosocko.com/wp-content/uploads/2015/11/1446619393.jpg?resize=1024%2C1024 1024w" sizes="(max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 1362px) 62vw, 840px" />

Instagram filter used: Normal

On Being a Secretary

The philosophy of how to have a fulfilling secretarial position.
Daniel N. Robinson, (March 9, 1937-  ), philosopher
in Great Ideas of Philosophy, 2nd Edition, Lecture 28 “Hobbes and the Social Machine”

 

Great Ideas of Philosophy

Sir Francis Bacon smacks down Republican party front-runners

Advice for laying down the law of the land

A

s I watch the unfolding of the 2016 presidential election, I find myself wondering more and more where I can register to vote for the “scientific party?”

The electorate seems to want to focus primarily (only?) on the Judeo-Christian principles upon which our country was founded. Though I have no qualm with these principles, they seem to miss the firmer and primary base upon which the country was built at the dawn of the Age of Reason.

Sir Francis Bacon, (22 January 1561 – 9 April 1626), English philosopher, statesman, scientist, jurist, orator, essayist and author
in the preface to Novum Organum (1620)

 

Pourbus' Francis Bacon

Read the original 1620 edition in Latin

Winter Q-BIO Quantitative Biology Meeting February 15-18, 2016

Bookmarked Winter Q-BIO Quantitative Biology Meeting February 15-18, 2016 (w-qbio.org)
The Winter Q-BIO Quantitative Biology Meeting is coming up at the Sheraton Waikiki in Oahu, HI, USA

A predictive understanding of living systems is a prerequisite for designed manipulation in bioengineering and informed intervention in medicine. Such an understanding requires quantitative measurements, mathematical analysis, and theoretical abstraction. The advent of powerful measurement technologies and computing capacity has positioned biology to drive the next scientific revolution. A defining goal of Quantitative Biology (qBIO) is the development of general principles that arise from networks of interacting elements that initially defy conceptual reasoning. The use of model organisms for the discovery of general principles has a rich tradition in biology, and at a fundamental level the philosophy of qBIO resonates with most molecular and cell biologists. New challenges arise from the complexity inherent in networks, which require mathematical modeling and computational simulation to develop conceptual “guideposts” that can be used to generate testable hypotheses, guide analyses, and organize “big data.”

The Winter q-bio meeting welcomes scientists and engineers who are interested in all areas of q-bio. For 2016, the meeting will be hosted at the Sheraton Waikiki, which is located in Honolulu, on the island of Oahu. The resort is known for its breathtaking oceanfront views, a first-of-its-kind recently opened “Superpool” and many award-winning dining venues. Registration and accommodation information can be found via the links at the top of the page.

Source: Winter Q-BIO Quantitative Biology Meeting

Shinichi Mochizuki and the impenetrable proof of the abc conjecture

Read The biggest mystery in mathematics: Shinichi Mochizuki and the impenetrable proof of the ABC Conjecture (Nature News & Comment)
A Japanese mathematician claims to have solved one of the most important problems in his field. The trouble is, hardly anyone can work out whether he's right.

The biggest mystery in mathematics

This article in Nature is just wonderful. Everyone will find it interesting, but those in the Algebraic Number Theory class this fall will be particularly interested in the topic – by the way, it’s not too late to join the class. After spending some time over the summer looking at Category Theory, I’m tempted to tackle Mochizuki’s proof as I’m intrigued at new methods in mathematical thinking (and explaining.)

The abc conjecture refers to numerical expressions of the type a + b = c. The statement, which comes in several slightly different versions, concerns the prime numbers that divide each of the quantities a, b and c. Every whole number, or integer, can be expressed in an essentially unique way as a product of prime numbers — those that cannot be further factored out into smaller whole numbers: for example, 15 = 3 × 5 or 84 = 2 × 2 × 3 × 7. In principle, the prime factors of a and b have no connection to those of their sum, c. But the abc conjecture links them together. It presumes, roughly, that if a lot of small primes divide a and b then only a few, large ones divide c.

Thanks to Rama for bringing this to my attention!

A peaceful moment on the Shiawassee River

Instagram filter used: Normal

Photo taken at: DeVries Nature Conservancy

14 Gauge Galvanized Electric Fence Wire

The gift for your favorite Angelino who has almost everything…

The gift for your favorite Angelino who has almost everything...

Instagram filter used: Normal

Photo taken at: Tractor Supply