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1. Absolute Infinity - Numberphile - YouTube
Link: https://www.youtube.com/watch?v=sq-ntG5Mcus
Description: WebMar 19, 2024 · Numberphile. 4.48M subscribers. Subscribed. 12K. 299K views 2 weeks ago. Asaf Karagila takes us deep into the world of Infinity - from lazy eights to aleph to omega to tav. More links & stuff in...
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2. Absolute Infinite - Wikipedia
Link: https://en.wikipedia.org/wiki/Absolute_Infinite
Description: WebThe Absolute Infinite (symbol: Ω) is an extension of the idea of infinity proposed by mathematician Georg Cantor. It can be thought of as a number that is bigger than any other conceivable or inconceivable quantity, either finite or transfinite.
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3. Infinity - Stanford Encyclopedia of Philosophy
Link: https://plato.stanford.edu/entries/infinity/
Description: WebApr 29, 2021 · We can do the reverse to put \ (\infty\) on the right side of the limit as well. That is, we say. \ [\lim_ {x\to a} f (x)=+\infty\] iff. for every \ (M\), there exists a \ (\delta\), such that for every \ (x\) with \ (0<|x-a|<\delta\), \ (f (x)>M\), and similarly. \ …
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4. Calculus I - Types of Infinity - Pauls Online Math Notes
Link: https://tutorial.math.lamar.edu/Classes/CalcI/TypesOfInfinity.aspx
Description: WebNov 16, 2022 · A really, really large number divided by a number that isn’t too large is still a really, really large number. ∞ a = ∞ if a >0,a ≠ ∞ ∞ a = −∞ if a < 0,a ≠ −∞ −∞ a = −∞ if a > 0,a ≠ ∞ −∞ a = ∞ if a < 0,a ≠ −∞ ∞ a = ∞ if a > 0, a ≠ ∞ ∞ a = − ∞ if a < 0, a ≠ − ∞ − ∞ a = − ∞ if a > 0, a ≠ ∞ − ∞ a = ∞ if a < 0, a ≠ − ∞.
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5. GEORG CANTOR - Mathematics at Dartmouth
Link: https://math.dartmouth.edu/~matc/Readers/HowManyAngels/Cantor/Cantor.html
Description: WebUnlike Leibniz, Bolzano was an unequivocal champion of the absolute infinite. 11 Cantor particularly admired Bolzano's attempt to show that the paradoxes of the infinite could be explained, and that the idea of completed infinities could be introduced without contradiction into mathematics.
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6. Infinity | Definition, Symbol, & Facts | Britannica
Link: https://www.britannica.com/science/infinity-mathematics
Description: WebApr 12, 2024 · Infinity, the concept of something that is unlimited, endless, without bound. Three main types of infinity may be distinguished: the mathematical, the physical, and the metaphysical. Mathematical infinities occur, for instance, as the number of points on a continuous line.
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7. How many kinds of infinity are there? (video) | Khan Academy
Link: https://www.khanacademy.org/math/math-for-fun-and-glory/vi-hart/infinity/v/kinds-of-infinity
Description: WebThe number of infinite numbers is bigger than any infinite number and is also not a number, or at least no one has figured out a way to make it work without breaking mathematics. Infinity isn't just about ordinals and cardinals either. There's the infinities of calculus, useful work courses treated delicately like special cases.
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8. What is Infinity? - Math is Fun
Link: https://www.mathsisfun.com/numbers/infinity.html
Description: WebInfinity is not "getting larger", it is already fully formed. Sometimes people (including me) say it "goes on and on" which sounds like it is growing somehow. But infinity does not do anything, it just is. Infinity is not a real number. Infinity is not a real number, it is an idea. An idea of something without an end. Infinity cannot be measured.
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9. Absolute infinity | Beyond the Limits of Thought | Oxford Academic
Link: https://academic.oup.com/book/8368/chapter/154057617
Description: WebAn absolute infinity can therefore be increased. Cantor’s distinction between transfinite and absolute infinities (or, at the very least, this way of drawing it) collapses. An absolute infinity is supposed to be a final upper limit, an ultimate upper bound.
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10. The negative theology of absolute infinity: Cantor, mathematics, …
Link: https://link.springer.com/article/10.1007/s11153-023-09897-8
Description: WebFeb 8, 2024 · Rico Gutschmidt & Merlin Carl. 589 Accesses. 1 Altmetric. Explore all metrics. Abstract. Cantor argued that absolute infinity is beyond mathematical comprehension. His arguments imply that the domain of mathematics cannot be grasped by mathematical means. We argue that this inability constitutes a foundational problem.
