Discrete or Continuous - Revision history

Tom: /* Arguments for Discrete */

2024-01-05T00:12:47Z

‎Arguments for Discrete

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‎Arguments for Discrete

2023-06-15T01:31:51Z

‎References

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‎Other Material

2023-06-14T04:44:00Z

‎Arguments for Discrete

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‎Arguments for Discrete

2023-06-14T04:41:25Z

‎Arguments for Discrete

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‎Context

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‎Context

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‎Context

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 * We can only measure discrete events at the quantum level.
 * Describing quantum objects with continuous calculus results in lots of infinities, particularly when electrons are considered to be point particles.
-* Continuous functions eventually fail at the extremes, such as turbulence in fluid flow, and only discrete methods work.
+* Continuous functions eventually fail at the extremes, such as turbulence in fluid flow, where only discrete methods work.
 * Zeno's paradox shows the utter absurdity of thinking that time and distance can be cut up into infinitesimal chunks.
 * Crathorn (ca. 1330 AD) affirms that a continuum is divisible into a finite number of atoms that are not mathematical points but its real, physical parts. Atoms are thus real singular entities with discrete magnitude or quantity and a proper nature. For example, he says that there are atoms of gold and atoms of lead, and that these are different kinds of things.<ref>William Crathorn Stanford Encyclopedia of Philosophy (2022) https://plato.stanford.edu/entries/crathorn/</ref>

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 * All of the particles of Physics, including light (energy) are discrete.
 * We can only measure discrete events at the quantum level.
-* Describing quantum objects with continuous calculus results ia lots of infinities, particularly when electrons are considered to be point particles.
+* Describing quantum objects with continuous calculus results in lots of infinities, particularly when electrons are considered to be point particles.
 * Zeno's paradox shows the utter absurdity of thinking that time and distance can be cut up into infinitesimal chunks.
 * Crathorn (ca. 1330 AD) affirms that a continuum is divisible into a finite number of atoms that are not mathematical points but its real, physical parts. Atoms are thus real singular entities with discrete magnitude or quantity and a proper nature. For example, he says that there are atoms of gold and atoms of lead, and that these are different kinds of things.<ref>William Crathorn Stanford Encyclopedia of Philosophy (2022) https://plato.stanford.edu/entries/crathorn/</ref>

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 <references />
 ===Other Material===
-In computing a similar dichotomy is described as Digital versus [[Analog Computer|Analog Computing]].
+In computing a similar dichotomy is described as Digital versus [[Analog Computer|Analog Computing]](qv).
 [[Category: Physics]]

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 <references />
 ===Other Material===
-In computing a similar dichotomy is described as Digital versus Analog Computing.
+In computing a similar dichotomy is described as Digital versus [[Analog Computer|Analog Computing]].
 [[Category: Physics]]

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 * Describing quantum objects with continuous calculus results ia lots of infinities, particularly when electrons are considered to be point particles.
 * Zeno's paradox shows the utter absurdity of thinking that time and distance can be cut up into infinitesimal chunks.
-* Crathorn affirms that a continuum is divisible into a finite number of atoms that are not mathematical points but its real, physical parts. Atoms are thus real singular entities with discrete magnitude or quantity and a proper nature. For example, he says that there are atoms of gold and atoms of lead, and that these are different kinds of things.<ref>William Crathorn Stanford Encyclopedia of Philosophy (2022) https://plato.stanford.edu/entries/crathorn/</ref>
+* Crathorn (ca. 1330 AD) affirms that a continuum is divisible into a finite number of atoms that are not mathematical points but its real, physical parts. Atoms are thus real singular entities with discrete magnitude or quantity and a proper nature. For example, he says that there are atoms of gold and atoms of lead, and that these are different kinds of things.<ref>William Crathorn Stanford Encyclopedia of Philosophy (2022) https://plato.stanford.edu/entries/crathorn/</ref>
 ==References==

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 ==Context==
-Since the discovery, by Newton,  of both the laws of motion and the calculus needed to describe it, the continuous model of reality has be the primary source of truth about physical reality. The arguments among physicists about the issue started in 1921 when Max Born tried to find a discretized version of calculus that would describe [[Quantum Mechanics]]..<ref>David Lindley, ''Uncertainty''  Doubleday (2007) p. 107 ISBN 9780385575061</ref>
+Since the discovery, by Newton,  of both the laws of motion and the calculus needed to describe it, the continuous model of reality has be the primary source of truth about physical reality. The arguments among physicists about the issue started in 1921 when Max Born tried to find a discretized version of calculus that would describe [[Quantum Mechanics]]..<ref>David Lindley, ''Uncertainty''  Doubleday (2007) p. 107 ISBN 9780385515061</ref>
 ===Arguments for Continuous===