I have tried to explain that finite calculational accuracy is the point: it is not possible to calculate real number exactly in finite time and no-one has been claiming anything like that. The idea of giving up all the mathematics since Newton is just just because we cannot calculate with infinite precision is complete idiotism.
And I am still unable to see what is wrong with Cauchy sequences: here I tried to concretise them in terms of decimal representation in order to give the idea what they are about but it seems that it did not help.
The generalisation of real numbers rather than refusing to admit their existence, is the correct direction to proceed and I have been working with this problem with strong physical motivations. Fusion of reals and p-adics to adelic structures also at space-time level, hierarchy of infinite primes defining infinite hierarchy of second quantisation for an arithmetic quantum field theory, even construction of arithmetics of Hilbert spaces, replacement of real point with infinitely structured point realizing number theoretic Brahman = Atman/algebraic holography. These are interesting lines to proceed rather than a return to cave.
Explore the timeless wisdom of God's Word through this beautiful horse devotional.Horses nuzzle their way into our hearts and have a way of teaching us a lot about ourselves, about life, and even about God. Just ask horse enthusiast Cara Whitney, wife of comedian and actor Dan Whitney (aka Larry the Cable Guy).Through years spent working with these majestic animals-Cara Whitney has learned countless spiritual lessons that have brought her closer to God.In 100 heartfelt devotions with stunning photography, you'll:Learn about being flexible in your faith from a gangly legged colt.Discover the secret to overcoming temptation through a horse's "sneak and eat" game.From a pony with a sweet tooth, find out why we should be glad God doesn't answer yes to all of our prayers.Be reminded that you are priceless to God from a one-eyed quarter horse named Roanie. Unbridled Faith is the perfect daily devotional for horse lovers.
This unique book offers an introduction to the development of renewable energy in Australia in the early 2000s. Examining the rise of dispersed, embedded solar energy systems in Western Australia, it looks specifically at the Solex project in Carnarvon, WA, which pioneered the harvest of solar energy from what was once considered the pursuit of the lunatic fringes of society to a viable energy source for mainstream society and industry.
In this fascinating case study Fullarton shows how a practical demonstration of innovative existing technology can have an incredible impact on a national scale. The ideas behind the Solex project slowly became adopted by the broader community and were eventually taken up enthusiastically by the general population of Australia.
Analyzing government and utility policies throughout the 2000s, the book traces how ambivalence was followed by wholehearted incentives to the roll-out of alternative energy and subsequent active opposition to alternative energy in favor of traditional fossil fuel as government philosophies changed.
The CBT guide for Children and Adolescents gives you the resources to help the children in your life handle their daily obstacles with ease.Inside this workbook you'll find hundreds of worksheets, exercises, and activities to help treat: ? Ideal Solution for Anti-Personality Disorder? Tantrum, ? Disruptive Behaviour Disorder, ? Anti-Social Personality Disorder, ? Avoidant Personality Disorder, ? Oppositional Defiant Disorder & Conduct Disorders? Conduct Disorders Written by a doctor with decades of experience working with kids, teens, adults, and these practical and easy-to-use therapy tools are vital to teaching people how to cope with and overcome their deepest struggles. Step-by-step, you'll see how the best strategies from cognitive behavioral therapy are adapted for children.Conduct Disorder is a significant behavioral and emotional disorder that may appear in children and teenagers. A kid with this disorder may screen the design of disruptive and violent behavior and also have problems following guidelines.It isn't uncommon for children and teenagers to have behavior-related problems sometime throughout their development. However, the behavior is known as to be always a Conduct Disorder when it's long-lasting, so when it violates the privileges of others, it will go against accepted norms of behavior and disrupt the child's or families’ everyday living.A definitive guide to recognizing what factors cause defiant episodes in children, adolescents, & adults and tips to help identify when and where these problematic behaviors are likely to occur. Containing tools to increase positive behaviors, this is an ideal resource for therapists, educators, and parents..
Scientific research and data show that the Earth doesn't have much time before climate change becomes irreversible. Listen to how scientists, researchers and everyday people around the world are creating new methods and inventions to conserve energy, reduce waste and recycle. You'll learn about: • The plastic scientists developed that infinitely recyclable • How plastic bags can be turned into fuel • How mini-nuclear reactors could reinvent the energy industryAnd more!
The Pulitzer Prize Winner
Dr. Carl Sagan takes us on a great reading adventure, offering his vivid and startling insight into the brain of man and beast, the origin of human intelligence, the function of our most haunting legends--and their amazing links to recent discoveries.
'A history of the human brain from the big bang, fifteen billion years ago, to the day before yesterday...It's a delight.' -The New York Times
Introductory music from the original score for COSMOS: A SpaceTime Odyssey composed by Alan Silvestri, used with permission from Cosmos Studios, Inc. and Chappers Music. All rights reserved. Special thanks to Fuzzy Planets, Inc.
Bitcoin really is a new kind of currency. It exists purely on the Web as a free computer network. Anyone with Internet access can send and receive money as quickly as an e-mail would send. We are seeing the beginning of a new world of finance with this new form of digital cash. This book is a 7-chaptered edifice to help broaden your horizon about the world’s greatest cryptocurrency.
In January 2009, Bitcoin was launched just a few months after the 2008 financial crisis. Anyone in the world has access to bitcoin as a genuine peer-to-peer currency, with the ability to send it to anyone else. The development guarantees that no one can lock or withdraw their funds. This ubiquitous currency's results are quite remarkable. We've seen the price increase in currency from less than one US cent to more than one thousand dollars.
Bitcoin has been challenging the mainstream view of finance since its launch. Bitcoin's limited supply and resistance to manipulation, originally designed as Digital Gold, has culminated in an explosion of new ideas and projects with the clear potential to disrupt major industries and forever change finance.
Bitcoin’s mysterious founder, Satoshi Nakamoto, is known only through his contributions, namely the whitepaper of Bitcoin and his initial forum posts to help core developers to support and preserve source code. While no one can confirm his identity, his work's value is evident in the fact that the source code of Bitcoin has been tested and challenged without reported serious bugs or exploits. This is really an incredible feat.
No single group of people, including governments, banks, and companies, regulate Bitcoin as all peers are equal participants, participating through the same protocol. The monetary policy is determined by its open computer network and is self-regulated. Therefore, we see the emergence of a new cycle of money with Bitcoin.
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