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  • Added for You - Math Can Be Strange but Quantum Physics is Even Stranger - Part I

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    t gives us the certainty of so many things, as for example, the certainty that two elements will react in a certain way and form a certain compound; the certainty that a drug will produce a desired result, or the certainty that a poison administered to a person will bring a certain death.

    So with all this certainty and uncertainty at the atomic level, are the things we stumble upon in mat

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    Indeed math can be strange. Especially when one delves into the upper echelons of this most mystifying discipline: multidimensional spaces, transfinite numbers, non-Euclidean geometries—you name it. But when you start reading about quantum physics and all the strange things that happen at the most microscopic of microscopic levels, then you really start to realize that math is not all that strange.

    John von Neumann, the famous mathematician, had it right when he said that you never really understood things in mathematics, you just got used to them. This is indeed true when you consider the infinitesimal calculus and how we can subdivide an area into an infinite number of rectangular strips to get the exact area (see my article Why Study Calculus? - Area of Irregular Shapes), or how we can find the instantaneous velocity of a speeding bullet. Moreover, when you consider that there exists a whole order of infinities and that we can only exemplify the first two orders or so, you start to realize that the realm of mathematics is a very weird one.

    And yet, as strange as things get in the world of mathematics, they seem quite normal when we put them into perspective with, let us say, the realm of things in the world of quantum physics.

    When we invoke the Heisenberg Uncertainty Principle, we see that the electron can be in multiple places at one time, rambling about of its own accord, and only leaving trace evidences of where it has been. The eerie part of this whole thing is that this uncertainty of the electron’s location is exactly what gives us the certainty of so many things, as for example, the certainty that two elements will react in a certain way and form a certain compound; the certainty that a drug will produce a desired result, or the certainty that a poison administered to a person will bring a certain death.

    So with all this certainty and uncertainty at the atomic level, are the things we stumble upon in math

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    John von Neumann, the famous mathematician, had it right when he said that you never really understood things in mathematics, you just got used to them. This is indeed true when you consider the infinitesimal calculus and how we can subdivide an area into an infinite number of rectangular strips to get the exact area (see my article Why Study Calculus? - Area of Irregular Shapes), or how we can find the instantaneous velocity of a speeding bullet. Moreover, when you consider that there exists a whole order of infinities and that we can only exemplify the first two orders or so, you start to realize that the realm of mathematics is a very weird one.

    And yet, as strange as things get in the world of mathematics, they seem quite normal when we put them into perspective with, let us say, the realm of things in the world of quantum physics.

    When we invoke the Heisenberg Uncertainty Principle, we see that the electron can be in multiple places at one time, rambling about of its own accord, and only leaving trace evidences of where it has been. The eerie part of this whole thing is that this uncertainty of the electron’s location is exactly what gives us the certainty of so many things, as for example, the certainty that two elements will react in a certain way and form a certain compound; the certainty that a drug will produce a desired result, or the certainty that a poison administered to a person will bring a certain death.

    So with all this certainty and uncertainty at the atomic level, are the things we stumble upon in mat

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    s), or how we can find the instantaneous velocity of a speeding bullet. Moreover, when you consider that there exists a whole order of infinities and that we can only exemplify the first two orders or so, you start to realize that the realm of mathematics is a very weird one.

    And yet, as strange as things get in the world of mathematics, they seem quite normal when we put them into perspective with, let us say, the realm of things in the world of quantum physics.

    When we invoke the Heisenberg Uncertainty Principle, we see that the electron can be in multiple places at one time, rambling about of its own accord, and only leaving trace evidences of where it has been. The eerie part of this whole thing is that this uncertainty of the electron’s location is exactly what gives us the certainty of so many things, as for example, the certainty that two elements will react in a certain way and form a certain compound; the certainty that a drug will produce a desired result, or the certainty that a poison administered to a person will bring a certain death.

    So with all this certainty and uncertainty at the atomic level, are the things we stumble upon in mat

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    perspective with, let us say, the realm of things in the world of quantum physics.

    When we invoke the Heisenberg Uncertainty Principle, we see that the electron can be in multiple places at one time, rambling about of its own accord, and only leaving trace evidences of where it has been. The eerie part of this whole thing is that this uncertainty of the electron’s location is exactly what gives us the certainty of so many things, as for example, the certainty that two elements will react in a certain way and form a certain compound; the certainty that a drug will produce a desired result, or the certainty that a poison administered to a person will bring a certain death.

    So with all this certainty and uncertainty at the atomic level, are the things we stumble upon in mat

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    t gives us the certainty of so many things, as for example, the certainty that two elements will react in a certain way and form a certain compound; the certainty that a drug will produce a desired result, or the certainty that a poison administered to a person will bring a certain death.

    So with all this certainty and uncertainty at the atomic level, are the things we stumble upon in mathematics all that strange? Stay tuned as we explore this most curious topic.

    See more at Cool Math Site

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