Editing 1153: Proof

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There are two possible law vs math/logic puns in the comic, on the words "approach" and "proof." "{{w|Approach the bench}}" is a legal term meaning to have a private conversation with the judge; approach in calculus means an infinite process where a function value gets closer and closer to a {{w|Limit (mathematics)|limit}} value that it never actually reaches, reminiscent of Zeno's paradoxes. "Proof" is also ambiguous, with a different meaning in formal mathematics than in {{w|jurisprudence}}. See {{w|Proof (truth)}} and {{w|Mathematical Proof}}, for example.
 
There are two possible law vs math/logic puns in the comic, on the words "approach" and "proof." "{{w|Approach the bench}}" is a legal term meaning to have a private conversation with the judge; approach in calculus means an infinite process where a function value gets closer and closer to a {{w|Limit (mathematics)|limit}} value that it never actually reaches, reminiscent of Zeno's paradoxes. "Proof" is also ambiguous, with a different meaning in formal mathematics than in {{w|jurisprudence}}. See {{w|Proof (truth)}} and {{w|Mathematical Proof}}, for example.
  
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{{w|Gottfried Leibniz}} is the co-inventor of {{w|calculus}} (along with Isaac Newton; see [[626: Newton and Leibniz]]). If Leibniz were to testify in this imaginary trial, he might argue that calculus invalidates Zeno's paradoxes, because the moving arrow has a different velocity than a stationary one (the function describing the motion has a nonzero derivative at the point), and the {{w|infinite series}} in the dichotomy paradox has a finite sum. Both Zeno and calculus assume a continuous, infinitely divisible, ideal {{w|spacetime}} (as does {{w|quantum mechanics}}); a different solution would be available if spacetime turns out to be discrete. However, Zeno is arguably not concerned with actually calculating the correct answer. In the real world, Zeno can be trivially disproven simply by moving and reaching a desired target (it is said that Diogenes the Cynic reacted to the paradox by wordlessly walking to a destination, to demonstrate his contempt for it). It remains a question of debate whether a mathematical approach addresses the central points in Zeno's arguments.
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{{w|Gottfried Leibniz}} is the co-inventor of {{w|calculus}} (along with Isaac Newton; see [[626: Newton and Leibniz]]). If Leibniz were to testify in this imaginary trial, he might argue that calculus invalidates Zeno's paradoxes, because the moving arrow has a different velocity than a stationary one (the function describing the motion has a nonzero derivative at the point), and the {{w|infinite series}} in the dichotomy paradox has a finite sum. Both Zeno and calculus assume a continuous, infinitely divisible, ideal {{w|spacetime}} (as does {{w|quantum mechanics}}); a different solution would be available if spacetime turns out to be discrete. However, Zeno is arguably not concerned with actually calculating the correct answer. In the real world, Zeno can be trivially disproven simply by moving and reaching a desired target. It remains a question of debate whether a mathematical approach addresses the central points in Zeno's arguments.
  
 
[[994: Advent Calendar]] is also about Zeno.
 
[[994: Advent Calendar]] is also about Zeno.

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