Mathematics Shows on TV

I love science programmes particularly those about maths and physics, but it’s an area that is often neglected by many of the large media companies. Naturally they are difficult subjects and hardly likely to attract big audiences for the commercial channels, although some broad casters do go out of their way to cover such topics. There is an ongoing PBS TV collection (additionally numerous books as well as an internet site) called “Closer to Reality”. It is hosted by neuroscientist Robert Lawrence Kuhn. He’s featured in one-on-one interviews and panel discussions with the cream of the cream of today’s cosmologists, physicists, theorists, theologians, psychologists, etc. on all the Huge Inquiries surrounding a trilogy of broad topics – Cosmos; Awareness; Definition.
The trilogy jointly dealt with truth, room as well as time, mind and also awareness, aliens, theology et cetera as well as on. Below are a few of my discuss among the general subjects covered, mathematics. It’s nearly as good as some of the classic mathematics shows on the BBC from the last decade although you’ll have to buy them on DVD or perhaps use a UK TV VPN to access on BBC iPlayer.

Is Math Eternal?

Simple, complex, gorgeous, classy, awful, describes all, success story, fundamental bedrock, and so on. These are words as well as phrases usually related to mathematics, specifically appeal and stylish. That in itself does not make maths infinite.

I suspect that whatever the legislations, concepts and relationships of physics were to end up being, there would be some sort of maths to cover it. However, a lot of our maths births no connection to our physics – inverse dice relationship for instance.

Is Math Eternal 2?

Just what is the condition of mathematics? Is maths eternal?

Mathematics has no standing outside of the human mind. So mathematics is just as everlasting as the duration that human minds exist. Math is a development of the human mind (since I recognize of nothing else life type that uses mathematics in any type of abstract type of means) to assist people in dealing with the many (also invented) complexities of human culture (like trade, commerce as well as economics). Math offers useful applications like navigating and also offers getting as well as predictability in the environment that rule the human roost. Math is a not-thing since it has no physical residential properties and can not be spotted using any of your sensory apparatus. Naturally if we remain in a Simulated (Virtual Reality) Cosmos then we completely exist as, and also in, a mathematical construct.

Of course maths could also be the development of extraterrestrial intelligences, so mathematics could linger permanently in the universes as long as there are smart life kinds around to utilize and abuse their mathematical creations.

Is Mathematics Invented or Discovered 1?

IMHO, mathematics is a not-thing, an abstract idea that’s the invention of the human mind. Mathematics has none of the residential properties that we associate with points. Things can be uncovered; concepts are developed. One plus 2 equates to 3 (1 +2=3) is nothing. Pi is nothing. The square formula is nothing. Mathematical theories are not things. Math could not be found with any of the five detects, and even with instrumentation that prolongs our sensory abilities past that which our sensory apparatus could pertain to terms with. Math is an useful tool certainly, though several possible maths that could be typically aren’t. We browse around for and also embrace the kind of maths that fits in with just what we observe, with exactly what is useful, and also chuck just what does not suit into the rubbish container. So the gravitational force can be accounted for by an inverted square legislation, however not by an inverted cube legislation, so the inverse dice connection is taken into the rubbish container. Then we doubt the appeal as well as beauty of the inverse square regulation describing the means the gravitational force operates over range as well as forget about the non-beauty as well as non-elegance of the inverse dice law. As an aside, appeal as well as beauty are not legitimate clinical or even mathematical terms. You won’t discover them in any kind of scientific or mathematical thesaurus no matter just how frequently scientists as well as mathematicians utilize them according to most of the meetings here on “Closer to Fact”.

Is Math Invented or Discovered 2?

The collection of all possible mathematical equations is as close to infinity as makes no chances so it should not be unusual that a part of those needs to by coincidence reflect what takes place in the real world like the inverse square law for the propagation of electromagnetic radiation and gravity. That implies that mathematics is an invention as well as not an exploration. If there were actually this broad fantastic globe of a near unlimited number of mathematical relationships awaiting exploration as something part and parcel and essential to the cosmos, then one wouldn’t anticipate that the large majority wound up having no significance to the cosmos at large as well as the regulations, principles as well as partnerships of physics that crack the whip.

John Simmons –
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Recreational mathematics in use

Recreational mathematics might seem as a term related to financial or tourism industry, however it is one of so called umbrella terms, referred to mathematical games such as puzzles, mathematical logic games, juggling, origami and others. This part of mathematics is often required deductive reasoning, aesthetics of higher maths and even some amusing stories from the history of mathematics or mathematicians themselves.

First publications about recreational mathematics dates back to 1939 from a group of scientists in Cambridge University. Since than, the theory has developed drastically and many famous scientists such as Stephen Hawking, Martin Gardner and Roger Penrose, have been studying and developing the theory. More than 60 scientific articles has been published regarding recreational maths and nowadays it involves such things as magical numbers, numerology, folding, sports, dissection and even mathematical humor.

Mathematical games are most likely played by several players and involves an extensive knowledge of mathematics applied for real life situations, mathematical logic and common sense. Mathematical game rules goes strictly together with mathematical theory and is a great way to check your high-school knowledge as well as more in-depth problems resolved by higher maths.  There’s some great examples in math department web pages and sites particularly in the US and the UK.  However you may need to hide  your IP address to access these, by using something like this UK VPN connection.

Such simple games can be played with friends or family and are truly educational and fun. It is perfect for a family holiday as well as break out of the city. Mathematical games can develop your logic and the way of thinking as well as taking your mind of work and every day troubles.

Recreational mathematics can be truly beneficial for you, your family and friends, especially as an nice escape from city to a quiet rented luxury lodge near lake for example.  Remember to revise your mathematical skills and even show off with your recreational mathematics knowledge while resolving mathematical game problems in style!


The Mathematics of the Drunken Walk

Lectures on statistics are not always the most exciting ones in the world of maths however certain subjects tend to attract students attention.  One of those is of course alcohol, and not in the over indulgence and problematic way where you end up taking a drug like this one called Selincro to combat it’s effects.   It’s actually revolved around a concept called the Drunkard’s Walk a famous mathematical concept.

It can be best explained in a theoretical example about a drunken man who was walking way too close to a cliff for someone in that state.  The idea is that from his starting position a single step forward would send him over the cliff.   He takes completely random steps oblivious to his own safety in any direction.  His probability of taking a step away is 2/3 and of taking a step towards the cliff is 1/3.  The mathematicians problem – what are the drunkards chance of escaping the cliff?

It’s a classic problem but actually touches on some advanced statistical topics. The particular topic is centered around Stochastic Processes which covers these ‘random walk’ issues, the specific name is called a Markov Chain.

Stochastic Process – a random process which explains how a system or process changes over another unit (commonly time).

Random Walk – a path derived from a series of completely random steps in some defined mathematical space.  Our example is the very drunk man tottering on the edge of a cliff.

Markov Chain – a random walk which actually maintains independent events.  That is the next event is not dependent or related to the previous one.  The drunken man has to be so drunk that his position and last action has no bearing on his next step!

The mathematics of this situation is of course all related to probabilities and how likely the man is to survive his reckless behaviour.   The simplest point is the beginning where he is one step away from the edge, the probability of surviving the next step is 2/3 and he has a 1/3 chance of stepping over the edge.

After that of course it get’s more difficult as the man if he survives will be moving away from the cliff edge and buys himself some time.   The easiest way to visualize this situation is to draw a chart of the probabilities with all the possibilities.  This has to include his relative position from the cliff and an assumption about where he ends up and what position is safe!

The problem is actually not that complex but it can seem so purely because there are so many possibilities after the initial even.  The secret is to define the chart with the possibilities and then try and generalize the problem in order to create a formula. This has to include the probability of stepping towards the cliff edge and stepping away.

To solve these problems you normally define the expected probability of the event you are trying to measure.  So in this case it would be defining the probability of falling from the cliff – say P1.

Without too much detailed analysis we can get to the formula as follows:

P1 = (1-P) + (p*P2)

Here the variable P2 is the probability of falling from the cliff on a path consisting of 2 steps!

John Welcome