How does one set about proving that between the numbers two and four exists a three and how does one set about proving that beyond the aforementioned numbers the logical continuation is a six? Mathematics, while not exactly one of my strong points, can be appreciated for the promise that it embodies. Mathematics is a structured system that exists upon the metaphysical level and is perceived to manifest in all things in life. It is a system that humans readily apply to all things artificial and natural, attempting to lay a finger upon every phenomenon in search for a discernible etch, a perceivable hint of structure beyond the silky flat of chaos and all in the name of furthering our understanding.
Aside from its importance in our everyday lives, the use of mathematics for interpolating and extrapolating upon existing series or patterns of values to which we have given meaning has provided ourselves with a lot of what we know today. It gave us a means of trying out new things on the basis of intelligent guesswork rather than mere random chance. It is the logical expression of the concept of building within and beyond that which exists.
Present-day music is largely based upon previous music and other producible sounds. New technologies are mostly based upon previous technologies. New philosophers tend to draw upon old philosophers and experiences in life. Drivers in developing countries use prior knowledge of the road to prevent accidents while blinded by the headlights of oncoming vehicles. Any knowledge that is gained without direct blind trial and error or direct experience is the result of the mind extrapolating or interpolating upon existing knowledge. The ancient Greeks figured out that the World was round thanks to observations of the stars and observation of the world around them. Various aviation pioneers took inspiration from birds that used less energetic sweeping wing movements such as seagulls. The deductive processes involved in crime investigation done right is also an exercise in extrapolating upon the available evidence. If we were to take bridge repair as a means of illustrating working beyond the existing then extrapolation would be a matter of extending the structure across the divide while interpolation would be similar to bridging the gaps between the support struts or columns.
Both techniques also have a place in determining truth from fallacy. After all, not all sources of information are honest and likewise the information that one is fed by sources may also be similarly skewed. The interests of the provider of information can taint objectivity. Truths do not need to be altered into fallacies so as to mislead. Truths can be selectively chosen and provided, or omitted altogether. Information can be provided with baggage attached, conveying positive or negative influence as intended by the interests concerned.
Even sources that we should be able to trust are not necessarily without taint. The television stations. The papers. This web log too has the interests of myself riding within it and should therefore be taken with a pinch of salt. The only way to sort through the mess of conflicting information is to attempt to extrapolate and interpolate upon the knowledge available in search of the most consistent net or web of integrated information upon which to base your opinions and thoughts. Without a reliable grasp of the information available I am afraid that it is likely that the decisions that you make will be the most sound that they could otherwise have been. Of course it is our right not to be deceived to begin with, but the bad shepherd could care less.
Tags: extrapolation, interpolation, knowledge, mathematics
Entries (RSS)
Great post. I was checking continuously this blog and Iâm impressed! Extremely helpful information specially the last part I care for such information much. I was looking for this particular information for a long time. Thank you and best of luck.
Just want to say your article is as surprising. The clearness in your post is simply excellent and I could assume youre an expert on this subject. Well with your permission allow me to grab your feed to keep up to date with forthcoming post. Thanks a million and please carry on the gratifying work.
The things i have seen in terms of computer memory is the fact there are specs such as SDRAM, DDR and many others, that must go with the technical specs of the mother board. If the pcs motherboard is reasonably current while there are no operating-system issues, upgrading the memory space literally normally takes under 1 hour. Its among the list of easiest personal computer upgrade methods one can imagine. Thanks for spreading your ideas in Poduszki
Excellent post. I was checking constantly this blog and I am impressed! Very useful info specially the last part I care for such information much. I was seeking this particular information for a very long time. Thank you and best of luck.
Acquiring study this I assumed it had been quite beneficial. I recognize you taking some time and hard work to place this informative article jointly. I as soon as once more uncover myself investing approach to significantly time equally looking at and commenting. But so what, it had been nonetheless worthwhile!
I think this is one of the most important info for me. And iâm glad reading your article. But should remark on some general things, The site style is perfect, the articles is really nice : D. Good job, cheers
I truly like the way your page looks. I think it is awesome. If you dont mind me asking, what template is this website? Thank you.
There are certainly quite a lot of details like that to take into consideration. That could be a great point to convey up. I supply the thoughts above as normal inspiration but clearly there are questions like the one you bring up the place a very powerful factor might be working in sincere good faith. I don?t know if finest practices have emerged around issues like that, but Im positive that your job is clearly recognized as a good game. Each boys and girls feel the affect of just a moments pleasure, for the rest of their lives.
Thanks for taking the time to discuss this, I feel strongly about it and love studying more on this topic. If possible, as you gain additional information, would you consider updating your blog with more information? This will be very helpful.
Hey I know this is off topic but I was wondering if you knew of any widgets I could add to my blog that automatically tweet my newest twitter updates. Ive been looking for a plug-in like this for quite some time and was hoping maybe you would have some experience with something like this. Please let me know if you run into anything. I truly enjoy reading your blog and I look forward to your new updates.
Thank you for that fantastic article.
Yay google is my world beater helped me to find this great website ! . “A tough lesson in life that one has to learn is that not everybody wishes you well.” by Dan Rather.
Perfect work you have done, this web site is really cool with good info .
Its like you read my mind! You appear to know a lot about this, like you wrote the book in it or something. I think that you could do with a few pics to drive the message home a bit, but other than that, this is great blog. A fantastic read. I will certainly be back.
Just wanna input on few general things, The website style is perfect, the content is real fantastic. “Some for renown, on scraps of learning dote, And think they grow immortal as they quote.” by Edward Young.
Great post. Wonderful writing. Keep it up.
The unexplored Zune browser is surprisingly sound, but not as documentation as the iPodâs. It works sufficiently, but isnât as firm as Safari, and has a clunkier interface. If you irregularly scheme on using the trap browser thatâs not an originate, but if youâre planning to scan the spiderâs web alot from your PMP then the iPodâs larger screen and better browser may be important.
I simply want to tell you that I’m new to blogging and actually liked your blog. Almost certainly I’m planning to bookmark your site . You surely have superb articles. Many thanks for revealing your web site.
oooooooooooooooooooooooh
I must carry the flexibility out of to thank everyone for any skilled professional referrals Ive mostly valued considering your webblog. Were ready for often the beginning most typically associated with personal or perhaps scientific studies because the wide placement of feet would not tend to be flawless obtaining popping up to the site your website. Essentially tend to be of ones assist with a few, Ill be happy that can assist with what I possess discovered how at this point.
Hello! I’m at work browsing your blog from my new apple iphone! Just wanted to say I love reading your blog and look forward to all your posts! Carry on the superb work!
I’m writing to make you know what a terrific experience our girl gained using your web page. She came to find some things, which included what it’s like to have an awesome teaching heart to let other folks really easily have an understanding of some impossible subject matter. You truly exceeded our own expected results. Thanks for offering these practical, safe, educational and also easy tips about the topic to Tanya.
Possess a great day!. I like to consider your blog site a couple times a week for new entries. I was wondering if you may have any other topics you write about? Hair Loss Treatment
Thanks a lot for sharing this with all people you actually recognise what you’re talking approximately! Bookmarked. Please additionally visit my website =). We can have a link exchange arrangement between us!
things i have seen in terms of computer memory iss the facted these are specs such as ram, DDR and many others, that must go with the technical specs of the mother board. If the pcs motherboard is reasonably current while there are no operating-system issues, upgrading the memory space literally normally takes under 1 hour. Its among the list of easiest personal computer upgrade methods one can imagine. Thanks for spreading your ideas in Poduszki