gardensofinfinity.com
Home | Gardens of InfinityExplore different sizes of infinity and intriguing statements derived from the mathematics of set theory. Philosophy, history and art thrown in, too.
http://www.gardensofinfinity.com/
Explore different sizes of infinity and intriguing statements derived from the mathematics of set theory. Philosophy, history and art thrown in, too.
http://www.gardensofinfinity.com/
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Home | Gardens of Infinity | gardensofinfinity.com Reviews
https://gardensofinfinity.com
Explore different sizes of infinity and intriguing statements derived from the mathematics of set theory. Philosophy, history and art thrown in, too.
gardensofinfinity.com
Basics of Set Theory | Gardens of Infinity
http://www.gardensofinfinity.com/basics.html
About Gardens of Infinity -. All the background information you need. A twenty minute read. We recommend working through this section first, but it can also be skipped and returned to as necessary. The natural numbers ( mathbb{N} ). Integers ( mathbb{Z} ), real numbers ( mathbb{R} ). The best way to think about size is in terms of sets. The cardinality of the set ( {a, b, c } ) is, believe it or not, three. We would write this by adding bars around the set, so the equation:. Left {a, b, c } right = 3 ].
Home:Fifth | Gardens of Infinity
http://www.gardensofinfinity.com/fifth/fifth.html
About Gardens of Infinity -. Claim: there are other types of infinity that are larger than universe infinity. There are an infinite number of sizes of infinity, fitting into a hierarchy where each is infinitely larger than the previous. Or, ( P( mathscr{S}) mathscr{S} ). What we will show is this: given any set ( mathscr{S} ), we can construct a set, denoted (P( mathscr{S}) ), such that (P( mathscr{S}) ) is larger in size than ( mathscr{S} ). You can read a short explanation of why ( P( mathscr{S}) maths...
Home:Third | Gardens of Infinity
http://www.gardensofinfinity.com/third/third.html
About Gardens of Infinity -. Claim: eternal infinity and breathed infinity are the same size; or, ( mathbb{R} = (0,1) . ). Eternal infinity is every instant of time ever. We imagine that time never ends and goes on forever, and that the past also never ends, and stretches behind us forever. We think of all the moments of time, forever into the past and forever into the future. If we think of this subset of eternal infinity as a subset of the real line ( mathbb{R} ), then we write it as ( 0,1) ). This...
Home:First | Gardens of Infinity
http://www.gardensofinfinity.com/first/first.html
About Gardens of Infinity -. Claim: digital and countable infinity are the same size; or, ( mathscr{D} = mathbb{N} ). Countable infinity is the size of the set ( mathbb{N} = {0, 1, 2, 3, } ). The claim is that digital and countable infinity are the same size, in other words that ( mathscr{D} = mathbb{N} ). Before we can explain why this is true, we need to make digital infinity more mathematically precise. And now we imagine an ever-growing population doing the same. The population grows and grows, s...
The Infinities | Gardens of Infinity
http://www.gardensofinfinity.com/infinities.html
About Gardens of Infinity -. Introducing the five types. Let's set the stage by reflecting on different types of infinity we encounter in life. There are five types that we'll discuss here. Clear your mind and connect to the infinite, as you understand it. First a simple one. Imagine all the counting numbers: 0, 1, 2, 3, 4,. Imagine counting like this forever. Let's call this type of infinity. Now imagine all the digital information ever. Imagine the infinity of instants in a single breath. Imagine that ...
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Past projects
http://forthelukeofmath.com/Past-projects.php
For the Luke of Math. In reverse chronological order. Gardens of Infinity is a website of curated mathematical content, designed to inspire careful thought as well as deep reflection. The user enters an interactive and immersive online environment, is presented with five intriguing statements from Cantor's set theory, and actively navigates and follows where curiosity leads. Each statement is presented with four options: Would you like a short and accessible explanation? Math, Poetry, and Improvisations.
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gardensofhuronperth
8212; Main Menu —. Welcome to our website. We hope you'll spend some time wandering through our gardens virtually, and then come to visit in person. We are a collection of gardens in Huron and Perth Counties in Southwestern Ontario that welcome those with a passion for gardening to come and visit.
gardensofimagination.blogspot.com
Ogrody Wyobraźni
Wampiry vs. wilkołaki. Czytam opasłe tomiska 2015. Co w trawie piszczy. Wampiry vs. Wilkołaki: wakacyjnie (czerwiec, lipiec, sierpień) :P. Tym razem wakacyjnie :P. Wybaczcie za takie opóźnienie, ale ostatnio ciężko znaleźć mi czas na cokolwiek :). Bardzo dziękuję Sisley za przypominającego kopa w tyłek :) Bardzo się przydał kochana :) Dzięki! Pod tym postem możecie wrzucać linki do recenzji książek, w których mieliście okazję spotkać się z wampirami, wilkołakami bądź oboma rasami na raz :P. Seria: Kronik...
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Home | Gardens of Infinity
About Gardens of Infinity -. How big is infinity? What does infinity mean to you? What infinite things do we encounter in our lives? Is there just one - inconceivably huge - type of infinity? Or does infinity manifest in a range of forms, shapes, and sizes? Mathematicians have thought precisely about different types of infinity. Mathematics shows that some infinities are bigger than others. Some infinities are surprisingly small. Everything will be explained as simply as possible.
gardensofinsanity.blogspot.com
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In the Name of God, Most Gracious, Most Compassionate
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