A Quote by Carl Benjamin Boyer
Mathematics is as much an aspect of culture as it is a collection of algorithms.
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To many, mathematics is a collection of theorems. For me, mathematics is a collection of examples; a theorem is a statement about a collection of examples and the purpose of proving theorems is to classify and explain the examples.
Mathematics my foot! Algorithms are mathematics too, and often more interesting and definitely more useful.
Imagine life without any algorithms at all, you wouldn't be able to do anything. This is already completely encompassing. We have a habit of over-trusting what mathematics or computer scientists tell us to do, without questioning it, too much faith in the magical power of analysis.
As algorithms push humans out of the job market, wealth and power might become concentrated in the hands of the tiny elite that owns the all-powerful algorithms, creating unprecedented social and political inequality. Alternatively, the algorithms might themselves become the owners.
I think up until that time a lot of focus on Internet coverage was either sort of the bits and bytes aspect of it, sort of the high-tech aspect of it, and the sociological aspect of it, which is how it was transforming culture.
Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding.
When we miss with all the metadata collection we've had, the San Bernardino couple and the Tsarnaev brothers, what that suggests to me is that we are using the wrong algorithms to search through all this data.
The problem with Google is you have 360 degrees of omnidirectional information on a linear basis, but the algorithms for irony and ambiguity are not there. And those are the algorithms of wisdom.
You can keep counting forever. The answer is infinity. But, quite frankly, I don't think I ever liked it. I always found something repulsive about it. I prefer finite mathematics much more than infinite mathematics. I think that it is much more natural, much more appealing and the theory is much more beautiful. It is very concrete. It is something that you can touch and something you can feel and something to relate to. Infinity mathematics, to me, is something that is meaningless, because it is abstract nonsense.
Mathematics is a collection of cheap tricks and dirty jokes.
I sampled a bit of stuff from my dad's collection. He has probably a bigger record collection than I do. I try to buy as much as possible, because I've never been able to keep an MP3 collection organized. I like to keep my computers as clean as possible.
Mathematics is much more than computation with pencil and a paper and getting answers to routine exercises. In fact, it can easily be argued that computation, such as doing long division, is not mathematics at all. Calculators can do the same thing and calculators can only calculate they cannot do mathematics.
It was not so much that I was doing mathematics, but rather that mathematics had taken possession of me.
MAC allowed me to have complete freedom on the collaborations—from the shades, the look-and-feel, to the campaign visuals. I have to admit that the visual aspect of the collection excites me most. For designers, we care about the photographs much more than a Ferrari.
Mystery is an inescapable ingredient of mathematics. Mathematics is full of unanswered questions, which far outnumber known theorems and results. It's the nature of mathematics to pose more problems than it can solve. Indeed, mathematics itself may be built on small islands of truth comprising the pieces of mathematics that can be validated by relatively short proofs. All else is speculation.
Once you see the problems that algorithms can introduce, people can be quick to want to throw them away altogether and think the situation would be resolved by sticking to human decisions until the algorithms are better.
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