This book introduces the core ideas of L.E.J. Brouwer’s approach to constructivity in mathematics, focusing on analysis, set theory, and topology, while considering his philosophical motivations. Brouwer’s “intuitionism” offers a coherent alternative to classical (nonconstructive) mathematics.Starting with the rejection of the Principle of the Excluded Middle, the book reconstructs number systems and analysis using Cauchy sequences. It compares constructive and classical methods, h...

Dirk van Dalen’s biography studies the fascinating life of the famous Dutch mathematician and philosopher Luitzen Egbertus Jan Brouwer. Brouwer belonged to a special class of genius; complex and often controversial and gifted with a deep intuition, he had an unparalleled access to the secrets and intricacies of mathematics. Most mathematicians remember L.E.J. Brouwer from his scientific breakthroughs in the young subject of topology and for the famous Brouwer fixed point theorem. Brouwer’s...

Dr. van Dalen, teaching from a Messianic perspective, attempts to convince the Sunday-Observing part of the Body of Messiah (The Church with Capital “C”), that “Christianity” (Messianism) is the continuation of Judaism along the Messianic line and not an alleged religion supposedly founded by Yeshua of Nazareth (Jesus). The further objective of the book is promoting the full understanding of Romans 1:16, Romans 2:29, Ephesians 2:11-20, and the Olive Tree Covenant of Romans 11:17-21. And by...

Learn the Answers to All Your Questions about GodWhat role do angels play in our lives?Where and how will we live?What will we be doing in heaven?Will I know my family and friends?What happens to departed children?What will our new bodies be like?Explore the Bible’s heavenly promises where all your hopes and dreams will be fulfilled. If you have lost a loved one, you need this book to help you understand the truth about Heaven–the greatest...

WHY?The most important questions anyone can ask are: Why was JesusChrist crucified? Why did he suffer so much? What has this to dowith me? Finally, who sent him to his sdeath? The answer to thelast question is that God did. Jesus was God's Son. The sufferingwas unsurpassed, but the whole message of the Bible leads to thisanswer.The central issue of Jesus' death is not the cause, but themeaning-God's meaning. That is what this book is about. John Piperhas gathered from the N...

The Bible For Dummies (9781119293507) was previously published as The Bible For Dummies (9780764552960). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product.Discover the world’s all-time bestseller in an entirely new lightNinety percent of Americans own a copy of the Bible, and while it's the most widely read book, it's also t...

A short survey of his career and theology.

In 1947, a Bedouin shepherd literally stumbled upon a cave near the Dead Sea, a settlement now called Qumran, to the east of Jerusalem. This cave, along with the others located nearby, contained jars holding hundreds of scrolls and fragments of scrolls of texts both biblical and nonbiblical—in Hebrew, Aramaic, and Greek. The biblical scrolls would be the earliest evidence of the Hebrew Scriptures, or Old Testament, by hundreds of years; and the nonbiblical texts would shed dramatic light o...

New Testament Basics for Catholics builds on the bestselling Bible Basics for Catholics (more than 120,000 copies sold) with a fresh, in-depth look at the heart of the New Testament. Award-winning author and Franciscan University of Steubenville theology professor, John Bergsma shows how one central message runs through every page—“The kingdom of God is at hand!”With his trademark stick-figure illustrations and down-to-earth style, Bergsma guides you through the N...

The emergence of Radical Islamists should be no surprise to students of Scripture. America is only now understanding their intense passion to rule, not only the Middle East, but the western world as well. Youssef points to passages that show us how biblical prophecy speaks to the awful things to come. Beware of the secret of the Mahdi!

Rose Guide to End-Times Prophecy is an explanation of end-times prophecy and the Book of Revelation from several Christian viewpoints. Bible prophecy says that Jesus will come again, and Christians have wondered for centuries when and how that would take place.Includes Book of Revelation Charts and More than 50 Charts, Diagrams, and IllustrationsRose Guide to End-Times Prophecy includes all of the basic end-time prophecy cha...

Faith is the means by which we understand "the worlds were framed by the word of God, so that the things which are seen were not made of things which are visible" (Heb 1:2-3)